Time bar (total: 22.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 10 to 7 computations (30% saved)
| 2.6s | 2189× | body | 2048 | valid |
| 2.4s | 3937× | body | 1024 | valid |
| 580.0ms | 1381× | body | 512 | valid |
| 157.0ms | 746× | body | 256 | valid |
| 5.0ms | 3× | body | 4096 | valid |
| 2× | egg-herbie |
| 76× | fma-def_binary64 |
| 57× | fma-neg_binary64 |
| 27× | cancel-sign-sub-inv_binary64 |
| 24× | sub-neg_binary64 |
| 18× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 22 |
| 1 | 17 | 22 |
| 2 | 25 | 22 |
| 3 | 38 | 22 |
| 4 | 53 | 22 |
| 5 | 81 | 22 |
| 6 | 141 | 22 |
| 7 | 199 | 22 |
| 8 | 284 | 22 |
| 9 | 355 | 22 |
| 10 | 407 | 22 |
| 11 | 411 | 22 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(-.f64 (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 | 123 | 11 |
| 8 | 167 | 11 |
| 9 | 203 | 11 |
| 10 | 229 | 11 |
| 11 | 231 | 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 |
|---|---|---|
| ▶ | 38.5b | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 9 to 6 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (cos.f64 x) |
| ✓ | 1.0b | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| ✓ | 2.5b | (cos.f64 (+.f64 x eps)) |
Compiled 20 to 6 computations (70% saved)
15 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)) |
| 1.0ms | eps | @ | 0 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 1.0ms | x | @ | 0 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 1× | batch-egg-rewrite |
| 588× | 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 | 20 |
| 1 | 174 | 20 |
| 2 | 2762 | 20 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (+.f64 x eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(cos.f64 x) |
| Outputs |
|---|
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((#(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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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 (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 +.f64 0 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2) 3) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (sqrt.f64 (cos.f64 x))) 1/3) (cbrt.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1)))))) |
| 1× | egg-herbie |
| 817× | fma-neg_binary64 |
| 461× | fma-def_binary64 |
| 393× | associate-+l+_binary64 |
| 386× | distribute-rgt-neg-out_binary64 |
| 351× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 682 |
| 1 | 222 | 662 |
| 2 | 599 | 628 |
| 3 | 2574 | 612 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 eps) |
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 x) |
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x)))) |
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(-.f64 (cos.f64 eps) 1) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) |
(*.f64 -1 (*.f64 eps (sin.f64 x))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
| Outputs |
|---|
(cos.f64 eps) |
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (*.f64 (neg.f64 x) (sin.f64 eps))) |
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))) |
(+.f64 (cos.f64 eps) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps)))) |
(+.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x)))) |
(fma.f64 (sin.f64 eps) (neg.f64 x) (*.f64 (fma.f64 -1/2 (*.f64 x x) 1) (cos.f64 eps))) |
(fma.f64 (fma.f64 x (*.f64 x -1/2) 1) (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))) |
(+.f64 (cos.f64 eps) (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps))))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) |
(+.f64 (*.f64 (sin.f64 eps) (fma.f64 1/6 (pow.f64 x 3) (neg.f64 x))) (*.f64 (fma.f64 -1/2 (*.f64 x x) 1) (cos.f64 eps))) |
(fma.f64 (fma.f64 x (*.f64 x -1/2) 1) (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))) |
(+.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))) |
(-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps 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 -1/2 (*.f64 eps eps) 1) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (+.f64 eps x)) |
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1)) |
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) -1)) |
(+.f64 (cos.f64 eps) (fma.f64 x (neg.f64 (sin.f64 eps)) -1)) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1)) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))) 1)) |
(+.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 (sin.f64 eps) (neg.f64 x))) (+.f64 (cos.f64 eps) -1)) |
(+.f64 (cos.f64 eps) (+.f64 -1 (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))) |
(+.f64 (cos.f64 eps) (fma.f64 x (-.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 (+.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)))) (+.f64 (cos.f64 eps) -1)) |
(+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (fma.f64 1/6 (pow.f64 x 3) (neg.f64 x)) (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2) -1))) |
(+.f64 (cos.f64 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 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 eps (sin.f64 x))) |
(-.f64 (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) -1/2)) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))) |
(-.f64 (fma.f64 (*.f64 1/6 (pow.f64 eps 3)) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) (*.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 (*.f64 1/6 (pow.f64 eps 3)) (sin.f64 x) (*.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 -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 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps)))) (*.f64 (sin.f64 x) (-.f64 eps (*.f64 1/6 (pow.f64 eps 3))))) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x -1/2) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x)))) |
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/24 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 -1/720 (pow.f64 x 6) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 1/24 (pow.f64 x 4) (fma.f64 x (*.f64 x -1/2) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/720 (pow.f64 x 6)))) |
Compiled 4419 to 1391 computations (68.5% saved)
41 alts after pruning (40 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 214 | 40 | 254 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 214 | 41 | 255 |
| Status | Error | Program |
|---|---|---|
| 38.7b | (-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x)) | |
| ▶ | 38.5b | (-.f64 (cos.f64 (+.f64 x eps)) (log.f64 (exp.f64 (cos.f64 x)))) |
| ✓ | 38.5b | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 38.7b | (-.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (cos.f64 x) 2))) | |
| 45.3b | (-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x)) | |
| 40.1b | (-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x -1/2) 1)) | |
| 38.6b | (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)) | |
| 38.6b | (/.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))) | |
| 26.1b | (-.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x)) | |
| 26.3b | (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))))) | |
| 38.6b | (log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x)))) | |
| ▶ | 38.6b | (-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x)) |
| 38.5b | (-.f64 (cos.f64 (+.f64 x eps)) 1) | |
| 25.6b | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x))))) | |
| 38.8b | (-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x)) | |
| 25.6b | (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) | |
| 39.1b | (-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) | |
| 38.6b | (-.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) | |
| 25.6b | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 54.7b | (sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)) | |
| ▶ | 38.0b | (-.f64 (cos.f64 eps) 1) |
| 26.1b | (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| ▶ | 12.5b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) |
| 25.6b | (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x)) | |
| 29.6b | (fma.f64 eps (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))) | |
| 38.0b | (-.f64 (cos.f64 eps) (cos.f64 x)) | |
| 13.9b | (*.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)))) | |
| 26.3b | (-.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)) | |
| 29.4b | (*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) | |
| 32.4b | (fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 38.6b | (log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) | |
| 38.8b | (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) | |
| ▶ | 25.6b | (fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
| 38.6b | (-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x)) | |
| 38.5b | (-.f64 (cos.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (cos.f64 x)))) | |
| 38.6b | (+.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)))))) | |
| 32.2b | (-.f64 (fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x)) | |
| 54.8b | (-.f64 (cos.f64 x) (cos.f64 x)) | |
| 38.7b | (log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps))))) | |
| 32.4b | (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)) (neg.f64 (cos.f64 x))))) | |
| 36.1b | (*.f64 (sin.f64 x) (neg.f64 eps)) |
Compiled 1219 to 806 computations (33.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) |
| ✓ | 0.0b | (+.f64 x (+.f64 x eps)) |
| ✓ | 0.3b | (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) |
| ✓ | 2.5b | (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) |
Compiled 88 to 34 computations (61.4% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) |
| 1.0ms | eps | @ | inf | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) |
| 1.0ms | x | @ | inf | (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) |
| 1.0ms | eps | @ | 0 | (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) |
| 1.0ms | x | @ | 0 | (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) |
| 1× | batch-egg-rewrite |
| 687× | fma-def_binary64 |
| 550× | log-prod_binary64 |
| 304× | fma-neg_binary64 |
| 222× | expm1-udef_binary64 |
| 222× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 68 |
| 1 | 352 | 28 |
| 2 | 5264 | 28 |
| 1× | node limit |
| Inputs |
|---|
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) |
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) |
(+.f64 x (+.f64 x eps)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (/.f64 (cos.f64 (*.f64 1/2 (+.f64 eps eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))) 1)))))) |
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eps) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (-.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (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)) (cbrt.f64 (*.f64 x x)) 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))))) 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#<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)) (cbrt.f64 (*.f64 x x)) 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)) (cbrt.f64 (*.f64 x x)) 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 eps) (-.f64 x eps)) (/.f64 1 (-.f64 x eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x eps) (-.f64 x 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)) (cbrt.f64 (*.f64 x 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)) (+.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 +.f64 0 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sqrt.f64 -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 1)))))) |
| 1× | egg-herbie |
| 862× | fma-def_binary64 |
| 568× | distribute-rgt-out_binary64 |
| 514× | associate-*l*_binary64 |
| 499× | associate-*r*_binary64 |
| 481× | distribute-rgt-neg-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 1592 |
| 1 | 335 | 1560 |
| 2 | 984 | 1357 |
| 3 | 4067 | 1325 |
| 1× | node limit |
| Inputs |
|---|
(sin.f64 (*.f64 1/2 eps)) |
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) |
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))))) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) |
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) |
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) |
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) |
(sin.f64 x) |
(+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)) |
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) |
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) |
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) |
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) |
(*.f64 1/2 (*.f64 eps (sin.f64 x))) |
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x)))) |
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x)))))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 (*.f64 -1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)))))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) |
eps |
(+.f64 (*.f64 2 x) eps) |
(+.f64 (*.f64 2 x) eps) |
(+.f64 (*.f64 2 x) eps) |
(*.f64 2 x) |
(+.f64 eps (*.f64 2 x)) |
(+.f64 eps (*.f64 2 x)) |
(+.f64 eps (*.f64 2 x)) |
(*.f64 2 x) |
(+.f64 eps (*.f64 2 x)) |
(+.f64 eps (*.f64 2 x)) |
(+.f64 eps (*.f64 2 x)) |
(*.f64 2 x) |
(+.f64 eps (*.f64 2 x)) |
(+.f64 eps (*.f64 2 x)) |
(+.f64 eps (*.f64 2 x)) |
eps |
(+.f64 (*.f64 2 x) eps) |
(+.f64 (*.f64 2 x) eps) |
(+.f64 (*.f64 2 x) eps) |
eps |
(+.f64 (*.f64 2 x) eps) |
(+.f64 (*.f64 2 x) eps) |
(+.f64 (*.f64 2 x) eps) |
(*.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 |
|---|
(sin.f64 (*.f64 1/2 eps)) |
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) |
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))) |
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))) |
(+.f64 (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))) (*.f64 (*.f64 -1/2 (sin.f64 (*.f64 1/2 eps))) (*.f64 x x))) |
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (sin.f64 (*.f64 1/2 eps)))) |
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (*.f64 (+.f64 (*.f64 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 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))) (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) -1/6)))) |
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (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 (fma.f64 2 x 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 (fma.f64 2 x 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 (fma.f64 2 x 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 (fma.f64 2 x 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 (fma.f64 2 x 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 (fma.f64 2 x 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 (fma.f64 2 x 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 (fma.f64 2 x eps))) |
(sin.f64 (fma.f64 1/2 eps (*.f64 x 1))) |
(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))) |
(fma.f64 1/2 (*.f64 eps (cos.f64 x)) (*.f64 (+.f64 (*.f64 eps (*.f64 eps -1/8)) 1) (sin.f64 x))) |
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))) |
(fma.f64 -1/8 (*.f64 (sin.f64 x) (*.f64 eps eps)) (fma.f64 -1/48 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)))) |
(fma.f64 -1/8 (*.f64 (sin.f64 x) (*.f64 eps eps)) (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps))))) |
(fma.f64 (cos.f64 x) (fma.f64 -1/48 (pow.f64 eps 3) (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/8)) (sin.f64 x))) |
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/8)) (fma.f64 (cos.f64 x) (fma.f64 -1/48 (pow.f64 eps 3) (*.f64 1/2 eps)) (sin.f64 x))) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) |
(sin.f64 (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 (fma.f64 2 x 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 (fma.f64 2 x 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 (fma.f64 2 x 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 (fma.f64 2 x 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 (fma.f64 2 x 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 (fma.f64 2 x 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 (fma.f64 2 x 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 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 (cos.f64 x) (*.f64 eps eps)) (*.f64 1/2 (*.f64 eps (sin.f64 x)))) |
(fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) 1/4))) |
(fma.f64 eps (*.f64 1/2 (sin.f64 x)) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps 1/4))) |
(*.f64 eps (+.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 eps 1/4)))) |
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(fma.f64 1/4 (*.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12) (*.f64 1/2 (*.f64 eps (sin.f64 x))))) |
(fma.f64 1/4 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 -1/12 (pow.f64 eps 3))))) |
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps 1/4)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/12)))) |
(*.f64 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 eps (sin.f64 x)))))) |
(fma.f64 1/4 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12) (fma.f64 (*.f64 1/2 eps) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 -1/48 (pow.f64 eps 4)))))) |
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps 1/4)) (fma.f64 (cos.f64 x) (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/12))))) |
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps 1/4))))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (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 (fma.f64 2 x eps)))) |
(*.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 (fma.f64 2 x eps)))) |
(*.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 (fma.f64 2 x eps)))) |
(*.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 (fma.f64 2 x eps)))) |
(*.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 (fma.f64 2 x eps)))) |
(*.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 (fma.f64 2 x eps)))) |
(*.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 (fma.f64 2 x eps)))) |
(*.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 (cos.f64 (*.f64 1/2 eps)) x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))) |
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))))) |
(+.f64 (fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 x x))) |
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (*.f64 x x) -1/2))) |
(fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.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 (cos.f64 (*.f64 1/2 eps)) x (*.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 (cos.f64 (*.f64 1/2 eps)) x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (fma.f64 -1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 x x)))) |
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))) (fma.f64 -1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (*.f64 x x) -1/2)))) |
(+.f64 (*.f64 x (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 -1/2 x))) (*.f64 (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)) (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 (fma.f64 2 x eps)))) |
(*.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 (fma.f64 2 x eps)))) |
(*.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 (fma.f64 2 x eps)))) |
(*.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 (fma.f64 2 x eps)))) |
(*.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 (fma.f64 2 x eps)))) |
(*.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 (fma.f64 2 x eps)))) |
(*.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 (fma.f64 2 x eps)))) |
(*.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 (fma.f64 2 x eps)))) |
(*.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))) |
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) |
(*.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 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 eps (sin.f64 x))) |
(fma.f64 (sin.f64 x) (neg.f64 eps) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps -1/2))) |
(*.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 -2 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12))))) |
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 (*.f64 -2 (pow.f64 eps 3)) (*.f64 (sin.f64 x) -1/12) (*.f64 (sin.f64 x) (neg.f64 eps)))) |
(fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6) (fma.f64 (sin.f64 x) (neg.f64 eps) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps -1/2)))) |
(-.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 eps (sin.f64 x)) (*.f64 -2 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12)))))) |
(+.f64 (fma.f64 (*.f64 -2 (pow.f64 eps 3)) (*.f64 (sin.f64 x) -1/12) (*.f64 (sin.f64 x) (neg.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 4) 1/24) (*.f64 -1/2 (*.f64 eps eps))))) |
(fma.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 4) 1/24 (*.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 (pow.f64 eps 4) 1/24 (*.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 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x 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 eps (*.f64 2 x)))))) |
(*.f64 (*.f64 -2 (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 (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 eps (*.f64 2 x)))))) |
(*.f64 (*.f64 -2 (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 (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 eps (*.f64 2 x)))))) |
(*.f64 (*.f64 -2 (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 (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 (fma.f64 2 x 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 (fma.f64 2 x 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 (fma.f64 2 x 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 (fma.f64 2 x 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 (cos.f64 (*.f64 1/2 eps)) x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) |
(*.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 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (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 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) -2) (cos.f64 (*.f64 1/2 eps))) x) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 -2 (*.f64 x x)))) |
(fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x -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 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))) |
(+.f64 (fma.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (*.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 (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 x x) -2)))) |
(*.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 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x 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 eps (*.f64 2 x)))))) |
(*.f64 (*.f64 -2 (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 (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 eps (*.f64 2 x)))))) |
(*.f64 (*.f64 -2 (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 (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 eps (*.f64 2 x)))))) |
(*.f64 (*.f64 -2 (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 (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 (fma.f64 2 x 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 (fma.f64 2 x 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 (fma.f64 2 x 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 (fma.f64 2 x 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)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.4b | (-.f64 (cos.f64 eps) 1) |
Compiled 10 to 6 computations (40% saved)
3 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) |
| 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 | 6 |
| 1 | 104 | 6 |
| 2 | 1283 | 6 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (cos.f64 eps) 1) |
| 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 expm1.f64 (log.f64 (cos.f64 eps)))))) (#(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))))) |
| 1× | egg-herbie |
| 601× | distribute-rgt-out_binary64 |
| 520× | sqr-pow_binary64 |
| 481× | associate-+l+_binary64 |
| 477× | distribute-lft-out_binary64 |
| 413× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 70 |
| 1 | 56 | 70 |
| 2 | 129 | 70 |
| 3 | 420 | 70 |
| 4 | 1995 | 70 |
| 5 | 4377 | 70 |
| 6 | 4751 | 70 |
| 7 | 5257 | 70 |
| 8 | 6247 | 70 |
| 9 | 7231 | 70 |
| 10 | 7670 | 70 |
| 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))))) |
| 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 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 (*.f64 eps eps) (fma.f64 eps (*.f64 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 1/40320 (pow.f64 eps 8) (fma.f64 -1/720 (pow.f64 eps 6) (*.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 -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))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (exp.f64 (cos.f64 x)) |
| ✓ | 0.3b | (log.f64 (exp.f64 (cos.f64 x))) |
| 2.5b | (cos.f64 (+.f64 x eps)) | |
| ✓ | 9.9b | (-.f64 (cos.f64 (+.f64 x eps)) (log.f64 (exp.f64 (cos.f64 x)))) |
Compiled 29 to 8 computations (72.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (exp.f64 (cos.f64 x)) |
| 0.0ms | x | @ | 0 | (-.f64 (cos.f64 (+.f64 x eps)) (log.f64 (exp.f64 (cos.f64 x)))) |
| 0.0ms | x | @ | inf | (exp.f64 (cos.f64 x)) |
| 0.0ms | eps | @ | 0 | (-.f64 (cos.f64 (+.f64 x eps)) (log.f64 (exp.f64 (cos.f64 x)))) |
| 0.0ms | x | @ | -inf | (-.f64 (cos.f64 (+.f64 x eps)) (log.f64 (exp.f64 (cos.f64 x)))) |
| 1× | batch-egg-rewrite |
| 449× | log-prod_binary64 |
| 366× | fma-def_binary64 |
| 342× | exp-prod_binary64 |
| 288× | pow-prod-down_binary64 |
| 263× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 187 | 19 |
| 2 | 2684 | 19 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (cos.f64 (+.f64 x eps)) (log.f64 (exp.f64 (cos.f64 x)))) |
(log.f64 (exp.f64 (cos.f64 x))) |
(exp.f64 (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 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> 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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 +.f64 (cos.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (cos.f64 x))) (*.f64 1/3 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (cos.f64 x)) (*.f64 2 (*.f64 1/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 x))) 2)) (cbrt.f64 (log.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 x)))) (sqrt.f64 (log.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) 3) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2) (cbrt.f64 (exp.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (cos.f64 x))) (sqrt.f64 (exp.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 1/2 (cos.f64 x))) (pow.f64 (exp.f64 1) (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 2 (*.f64 1/3 (cos.f64 x)))) (pow.f64 (exp.f64 1) (*.f64 1/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (cos.f64 x)))) (pow.f64 (exp.f64 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cos.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (cos.f64 x))) (*.f64 (sqrt.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (expm1.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) 1) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (cos.f64 x))) 1) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) 1) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 616× | fma-neg_binary64 |
| 471× | distribute-rgt-neg-out_binary64 |
| 432× | fma-def_binary64 |
| 401× | distribute-lft-neg-out_binary64 |
| 375× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 528 |
| 1 | 233 | 517 |
| 2 | 616 | 497 |
| 3 | 2743 | 481 |
| 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)) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(cos.f64 x) |
(cos.f64 x) |
(cos.f64 x) |
(cos.f64 x) |
(cos.f64 x) |
(cos.f64 x) |
(cos.f64 x) |
(cos.f64 x) |
(exp.f64 1) |
(+.f64 (*.f64 -1/2 (*.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1)) |
(+.f64 (*.f64 -1/2 (*.f64 (exp.f64 1) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 1) (pow.f64 x 4))) (exp.f64 1))) |
(+.f64 (*.f64 -1/2 (*.f64 (exp.f64 1) (pow.f64 x 2))) (+.f64 (*.f64 -31/720 (*.f64 (exp.f64 1) (pow.f64 x 6))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 1) (pow.f64 x 4))) (exp.f64 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)) |
(fma.f64 x (neg.f64 (sin.f64 eps)) (+.f64 (cos.f64 eps) -1)) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1)) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x))) 1)) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 x (*.f64 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 (*.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 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x)))) 1)) |
(+.f64 -1 (+.f64 (cos.f64 eps) (+.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)))))) |
(+.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 eps) (fma.f64 (sin.f64 eps) (-.f64 (*.f64 1/6 (pow.f64 x 3)) x) (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x x) -1))) |
(-.f64 (cos.f64 (+.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 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x))) |
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) 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))))) |
(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 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))) |
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3))))) |
(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 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x))))) |
(fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))))) |
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps)))) (*.f64 (sin.f64 x) (-.f64 eps (*.f64 1/6 (pow.f64 eps 3))))) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x -1/2) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4)))) |
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/24 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2))) (fma.f64 -1/720 (pow.f64 x 6) 1)) |
(cos.f64 x) |
(cos.f64 x) |
(cos.f64 x) |
(cos.f64 x) |
(cos.f64 x) |
(cos.f64 x) |
(cos.f64 x) |
(cos.f64 x) |
(exp.f64 1) |
(E.f64) |
(+.f64 (*.f64 -1/2 (*.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1)) |
(fma.f64 -1/2 (*.f64 (*.f64 x x) (E.f64)) (E.f64)) |
(*.f64 (fma.f64 x (*.f64 x -1/2) 1) (E.f64)) |
(+.f64 (*.f64 -1/2 (*.f64 (exp.f64 1) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 1) (pow.f64 x 4))) (exp.f64 1))) |
(fma.f64 -1/2 (*.f64 (*.f64 x x) (E.f64)) (fma.f64 1/6 (*.f64 (pow.f64 x 4) (E.f64)) (E.f64))) |
(fma.f64 1/6 (*.f64 (pow.f64 x 4) (E.f64)) (*.f64 (fma.f64 x (*.f64 x -1/2) 1) (E.f64))) |
(*.f64 (E.f64) (+.f64 (fma.f64 x (*.f64 x -1/2) 1) (*.f64 1/6 (pow.f64 x 4)))) |
(+.f64 (*.f64 -1/2 (*.f64 (exp.f64 1) (pow.f64 x 2))) (+.f64 (*.f64 -31/720 (*.f64 (exp.f64 1) (pow.f64 x 6))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 1) (pow.f64 x 4))) (exp.f64 1)))) |
(fma.f64 -1/2 (*.f64 (*.f64 x x) (E.f64)) (fma.f64 -31/720 (*.f64 (pow.f64 x 6) (E.f64)) (fma.f64 1/6 (*.f64 (pow.f64 x 4) (E.f64)) (E.f64)))) |
(+.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) (E.f64)) (*.f64 (E.f64) (+.f64 (*.f64 1/6 (pow.f64 x 4)) (*.f64 (pow.f64 x 6) -31/720)))) |
(fma.f64 (pow.f64 x 6) (*.f64 (E.f64) -31/720) (*.f64 (E.f64) (+.f64 (fma.f64 x (*.f64 x -1/2) 1) (*.f64 1/6 (pow.f64 x 4))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (log1p.f64 (cos.f64 (+.f64 x eps))) |
| ✓ | 0.5b | (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) |
| 2.5b | (cos.f64 (+.f64 x eps)) | |
| ✓ | 10.6b | (-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x)) |
Compiled 44 to 13 computations (70.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 68.0ms | eps | @ | -inf | (-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x)) |
| 48.0ms | x | @ | inf | (-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x)) |
| 39.0ms | x | @ | -inf | (-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x)) |
| 28.0ms | eps | @ | inf | (-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x)) |
| 8.0ms | eps | @ | 0 | (-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x)) |
| 1× | batch-egg-rewrite |
| 518× | log-prod_binary64 |
| 487× | fma-def_binary64 |
| 342× | pow-prod-down_binary64 |
| 333× | fma-neg_binary64 |
| 308× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 25 |
| 1 | 248 | 25 |
| 2 | 3321 | 25 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) |
(log1p.f64 (cos.f64 (+.f64 x eps))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (neg.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 -1 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))) (#(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 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))) (#(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 1 (-.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 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (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 -2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2)) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (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))))))) (#(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 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))))) (#(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 (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 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 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 (-.f64 (pow.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) 2) (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (*.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (*.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 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(sqrt.f64 (+.f64 1 (cos.f64 (+.f64 x eps)))) (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 x eps)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (cos.f64 (+.f64 x eps))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) 2) (+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) 1))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 (+.f64 x eps))))) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) 1)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.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)))))) (#(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 (sin.f64 x) (sin.f64 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))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 x eps)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (cos.f64 (+.f64 x eps))))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (cos.f64 (+.f64 x eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (log1p.f64 (cos.f64 (+.f64 x eps)))) (*.f64 1/2 (log1p.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (log1p.f64 (cos.f64 (+.f64 x eps)))) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 x eps)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (log1p.f64 (cos.f64 (+.f64 x eps)))) (*.f64 2 (*.f64 1/3 (log1p.f64 (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (cos.f64 (+.f64 x eps))))) (*.f64 1/3 (log1p.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (cos.f64 (+.f64 x eps))))) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 (+.f64 x eps)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (log.f64 (-.f64 1 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (cos.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 2) (cbrt.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (sqrt.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (log1p.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (log1p.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (log1p.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (cos.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (cos.f64 (+.f64 x eps))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (cos.f64 (+.f64 x eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 (+.f64 x eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1)))))) |
| 1× | egg-herbie |
| 779× | distribute-rgt-in_binary64 |
| 773× | distribute-lft-in_binary64 |
| 574× | times-frac_binary64 |
| 475× | associate-/l*_binary64 |
| 314× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 2665 |
| 1 | 646 | 2394 |
| 2 | 2681 | 2103 |
| 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 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))))) (+.f64 (cos.f64 eps) 1))) (pow.f64 x 2)))) 1) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (+.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) 1)) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (sin.f64 eps)) (+.f64 (cos.f64 eps) 1))) (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))))) (*.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))))) (+.f64 (cos.f64 eps) 1))) (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 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))))) (*.f64 -1 (*.f64 eps (sin.f64 x)))) |
(+.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))))) (+.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))))) (+.f64 (cos.f64 x) 1))) (*.f64 1/6 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1))))))))) (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(+.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1)))) (sin.f64 x)) (+.f64 (cos.f64 x) 1))) (+.f64 (*.f64 1/24 (+.f64 (*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (*.f64 -6 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (+.f64 (cos.f64 x) 1) 4))) (*.f64 -12 (/.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (pow.f64 (+.f64 (cos.f64 x) 1) 3)))))))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (+.f64 (cos.f64 x) 1) 4))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))))) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (*.f64 1/8 (pow.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))) 2)))))))) (+.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))))) (+.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))))) (+.f64 (cos.f64 x) 1))) (*.f64 1/6 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1))))))))) (*.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)) |
(cos.f64 eps) |
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))))) (*.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 2))))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (+.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) 1)) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (sin.f64 eps)) (+.f64 (cos.f64 eps) 1))) (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))))) (*.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))))) (*.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 2)))))) |
(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 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))))) (+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(+.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))))) (+.f64 (cos.f64 x) 1))) (*.f64 1/6 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1)))))))))))) |
(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))) |
(log.f64 (+.f64 (cos.f64 eps) 1)) |
(+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (+.f64 (cos.f64 eps) 1)))) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 2))) (+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (+.f64 (cos.f64 eps) 1))))) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 2))) (+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (+.f64 (cos.f64 eps) 1))) (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (+.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) 1)) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))))) (pow.f64 x 3)))))) |
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x))))) |
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x))))) |
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x))))) |
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x))))) |
(log.f64 (+.f64 (cos.f64 x) 1)) |
(+.f64 (log.f64 (+.f64 (cos.f64 x) 1)) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) 1)))) |
(+.f64 (log.f64 (+.f64 (cos.f64 x) 1)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) 1))))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1)))))) (+.f64 (log.f64 (+.f64 (cos.f64 x) 1)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) 1)))))) |
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x)))) |
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps))))) |
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps))))) |
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps))))) |
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps))))) |
| Outputs |
|---|
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(+.f64 (cos.f64 eps) (-.f64 (neg.f64 (*.f64 x (sin.f64 eps))) 1)) |
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) -1)) |
(+.f64 (cos.f64 eps) (fma.f64 x (neg.f64 (sin.f64 eps)) -1)) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))))) (+.f64 (cos.f64 eps) 1))) (pow.f64 x 2)))) 1) |
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 (+.f64 (cos.f64 eps) 1) (*.f64 1/2 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)) (*.f64 -1 (+.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))))))) (*.f64 x x))) 1)) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 x (*.f64 x (fma.f64 (+.f64 (cos.f64 eps) 1) (fma.f64 1/2 (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))) (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))) (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))) 1/2))) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))) |
(+.f64 (*.f64 x (-.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (*.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) -1/2) (*.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))) 0)) 1/2) x) (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (+.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) 1)) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (sin.f64 eps)) (+.f64 (cos.f64 eps) 1))) (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))))) (*.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))))) (+.f64 (cos.f64 eps) 1))) (pow.f64 x 2))))) 1) |
(+.f64 (fma.f64 (fma.f64 1/6 (fma.f64 -3 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)) (+.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) 1)) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))))) (fma.f64 -1/2 (/.f64 (*.f64 -1 (+.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 eps))) (/.f64 (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (+.f64 (cos.f64 eps) 1) 3)))) (*.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 3)) (+.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 (+.f64 (cos.f64 eps) 1) (*.f64 1/2 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)) (*.f64 -1 (+.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))))))) (*.f64 x x))))) -1) |
(+.f64 -1 (+.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 (+.f64 (cos.f64 eps) 1) (fma.f64 1/2 (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))) (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))) (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))) 1/2))) (*.f64 x (sin.f64 eps))) (fma.f64 (fma.f64 1/6 (fma.f64 -3 (*.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (tan.f64 (/.f64 eps 2))) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3)) (tan.f64 (/.f64 eps 2)))) (fma.f64 -1/2 (*.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 eps)) (+.f64 (cos.f64 eps) 1)) (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2)))) (+.f64 (cos.f64 eps) 1)) (sin.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3)) -1/6))) (*.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 3)) (cos.f64 eps)))) |
(+.f64 -1 (+.f64 (*.f64 x (-.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (*.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) -1/2) (*.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))) 0)) 1/2) x) (sin.f64 eps))) (fma.f64 (fma.f64 1/6 (fma.f64 -3 (*.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (tan.f64 (/.f64 eps 2))) (fma.f64 -2 (pow.f64 (tan.f64 (/.f64 eps 2)) 3) (tan.f64 (/.f64 eps 2)))) (fma.f64 -1/2 (*.f64 (tan.f64 (/.f64 eps 2)) (-.f64 (/.f64 (neg.f64 (cos.f64 eps)) (+.f64 (cos.f64 eps) 1)) (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))))) (*.f64 (pow.f64 (tan.f64 (/.f64 eps 2)) 3) -1/6))) (*.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 3)) (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 eps (neg.f64 (sin.f64 x))) |
(+.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))))) (*.f64 -1 (*.f64 eps (sin.f64 x)))) |
(fma.f64 (+.f64 1 (cos.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 1/2 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (fma.f64 -1 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2))))))) (*.f64 (neg.f64 eps) (sin.f64 x))) |
(-.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 eps (*.f64 eps (fma.f64 1/2 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))))) (*.f64 eps (sin.f64 x))) |
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) 0)) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 eps eps))) (*.f64 eps (sin.f64 x))) |
(+.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))))) (+.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))))) (+.f64 (cos.f64 x) 1))) (*.f64 1/6 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1))))))))) (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(fma.f64 (+.f64 1 (cos.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 1/2 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (fma.f64 -1 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2))))))) (fma.f64 (+.f64 1 (cos.f64 x)) (*.f64 (pow.f64 eps 3) (fma.f64 -1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (fma.f64 -1/2 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (fma.f64 -1 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2)))))) (*.f64 1/6 (fma.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))))))) (*.f64 (neg.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (*.f64 eps (*.f64 eps (fma.f64 1/2 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))))) (*.f64 (pow.f64 eps 3) (fma.f64 -1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (fma.f64 -1/2 (*.f64 (tan.f64 (/.f64 x 2)) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))))) (*.f64 1/6 (fma.f64 -3 (*.f64 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (tan.f64 (/.f64 x 2))) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (tan.f64 (/.f64 x 2)))))))))) (*.f64 eps (sin.f64 x))) |
(-.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (*.f64 -1/2 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) 0)) (*.f64 (fma.f64 -1/6 (pow.f64 (tan.f64 (/.f64 x 2)) 3) (fma.f64 1/6 (fma.f64 -3 (*.f64 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (tan.f64 (/.f64 x 2))) (fma.f64 -2 (pow.f64 (tan.f64 (/.f64 x 2)) 3) (tan.f64 (/.f64 x 2)))) (*.f64 -1/2 (-.f64 (/.f64 (/.f64 (neg.f64 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (pow.f64 (tan.f64 (/.f64 x 2)) 3))))) eps)))) (*.f64 eps (sin.f64 x))) |
(+.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1)))) (sin.f64 x)) (+.f64 (cos.f64 x) 1))) (+.f64 (*.f64 1/24 (+.f64 (*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (*.f64 -6 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (+.f64 (cos.f64 x) 1) 4))) (*.f64 -12 (/.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (pow.f64 (+.f64 (cos.f64 x) 1) 3)))))))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (+.f64 (cos.f64 x) 1) 4))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))))) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (*.f64 1/8 (pow.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))) 2)))))))) (+.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))))) (+.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))))) (+.f64 (cos.f64 x) 1))) (*.f64 1/6 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1))))))))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))) |
(fma.f64 (+.f64 1 (cos.f64 x)) (*.f64 (pow.f64 eps 4) (fma.f64 -1/6 (/.f64 (fma.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (fma.f64 1/24 (fma.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (fma.f64 -3 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (fma.f64 -6 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (+.f64 1 (cos.f64 x)) 4)) (/.f64 (*.f64 -12 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))))) (fma.f64 1/24 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (+.f64 1 (cos.f64 x)) 4)) (fma.f64 1/4 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (fma.f64 -1 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2)))))) (*.f64 1/8 (pow.f64 (fma.f64 -1 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2)))) 2))))))) (fma.f64 (+.f64 1 (cos.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 1/2 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (fma.f64 -1 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2))))))) (fma.f64 (+.f64 1 (cos.f64 x)) (*.f64 (pow.f64 eps 3) (fma.f64 -1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (fma.f64 -1/2 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (fma.f64 -1 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2)))))) (*.f64 1/6 (fma.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))))))) (*.f64 (neg.f64 eps) (sin.f64 x))))) |
(fma.f64 (+.f64 1 (cos.f64 x)) (*.f64 (pow.f64 eps 4) (fma.f64 -1/6 (*.f64 (/.f64 (fma.f64 -3 (*.f64 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (tan.f64 (/.f64 x 2))) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (tan.f64 (/.f64 x 2)))) (+.f64 1 (cos.f64 x))) (sin.f64 x)) (fma.f64 1/24 (+.f64 (fma.f64 -3 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (fma.f64 -6 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (+.f64 1 (cos.f64 x)) 4)) (/.f64 -12 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))))) (fma.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) 4 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) (fma.f64 1/24 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (+.f64 1 (cos.f64 x)) 4)) (fma.f64 1/4 (*.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))))) (*.f64 1/8 (pow.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2)))) 2))))))) (-.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (*.f64 eps (*.f64 eps (fma.f64 1/2 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))))) (*.f64 (pow.f64 eps 3) (fma.f64 -1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (fma.f64 -1/2 (*.f64 (tan.f64 (/.f64 x 2)) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))))) (*.f64 1/6 (fma.f64 -3 (*.f64 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (tan.f64 (/.f64 x 2))) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (tan.f64 (/.f64 x 2)))))))))) (*.f64 eps (sin.f64 x)))) |
(-.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 eps 4) (fma.f64 -1/6 (*.f64 (tan.f64 (/.f64 x 2)) (fma.f64 -3 (*.f64 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (tan.f64 (/.f64 x 2))) (fma.f64 -2 (pow.f64 (tan.f64 (/.f64 x 2)) 3) (tan.f64 (/.f64 x 2))))) (fma.f64 1/24 (+.f64 (fma.f64 -3 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (fma.f64 -12 (*.f64 (/.f64 (cos.f64 x) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (pow.f64 (sin.f64 x) 2)) (/.f64 -6 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 4) (pow.f64 (sin.f64 x) 4))))) (fma.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) 4 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) (fma.f64 1/24 (*.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3) (tan.f64 (/.f64 x 2))) (fma.f64 1/4 (*.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))))) (*.f64 1/8 (pow.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2)))) 2))))))) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (*.f64 -1/2 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) 0)) (*.f64 (fma.f64 -1/6 (pow.f64 (tan.f64 (/.f64 x 2)) 3) (fma.f64 1/6 (fma.f64 -3 (*.f64 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (tan.f64 (/.f64 x 2))) (fma.f64 -2 (pow.f64 (tan.f64 (/.f64 x 2)) 3) (tan.f64 (/.f64 x 2)))) (*.f64 -1/2 (-.f64 (/.f64 (/.f64 (neg.f64 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (pow.f64 (tan.f64 (/.f64 x 2)) 3))))) eps))))) (*.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 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)) |
(cos.f64 eps) |
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (neg.f64 (*.f64 x (sin.f64 eps)))) |
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))))) (*.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 2))))) |
(+.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (*.f64 1/2 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)) (*.f64 -1 (+.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))))) (*.f64 (+.f64 (cos.f64 eps) 1) (*.f64 x x))))) |
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (fma.f64 1/2 (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))) (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))) (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))) (*.f64 x (*.f64 x (+.f64 (cos.f64 eps) 1)))) (*.f64 x (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 0 (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2)))) (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (+.f64 (cos.f64 eps) 1))) x) (sin.f64 eps)))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (+.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) 1)) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (sin.f64 eps)) (+.f64 (cos.f64 eps) 1))) (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))))) (*.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))))) (*.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 2)))))) |
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(+.f64 (-.f64 (*.f64 (fma.f64 1/2 (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))) (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))) (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))) (*.f64 x (*.f64 x (+.f64 (cos.f64 eps) 1)))) (*.f64 x (sin.f64 eps))) (fma.f64 (fma.f64 1/6 (fma.f64 -3 (*.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (tan.f64 (/.f64 eps 2))) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3)) (tan.f64 (/.f64 eps 2)))) (fma.f64 -1/2 (*.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 eps)) (+.f64 (cos.f64 eps) 1)) (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2)))) (+.f64 (cos.f64 eps) 1)) (sin.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3)) -1/6))) (*.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 3)) (cos.f64 eps))) |
(+.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) -1/2) (*.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))) 0)) (*.f64 x x)) (*.f64 (fma.f64 1/6 (fma.f64 -3 (*.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (tan.f64 (/.f64 eps 2))) (fma.f64 -2 (pow.f64 (tan.f64 (/.f64 eps 2)) 3) (tan.f64 (/.f64 eps 2)))) (fma.f64 -1/2 (*.f64 (tan.f64 (/.f64 eps 2)) (-.f64 (/.f64 (neg.f64 (cos.f64 eps)) (+.f64 (cos.f64 eps) 1)) (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))))) (*.f64 (pow.f64 (tan.f64 (/.f64 eps 2)) 3) -1/6))) (pow.f64 x 3))))) |
(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))) |
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(fma.f64 (+.f64 1 (cos.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 1/2 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (fma.f64 -1 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2))))))) (+.f64 (cos.f64 x) (*.f64 (neg.f64 eps) (sin.f64 x)))) |
(fma.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 eps eps)) (fma.f64 1/2 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) |
(-.f64 (fma.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 eps eps)) (+.f64 (*.f64 -1/2 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) 0)) (cos.f64 x)) (*.f64 eps (sin.f64 x))) |
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(fma.f64 (+.f64 1 (cos.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 1/2 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (fma.f64 -1 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2))))))) (+.f64 (cos.f64 x) (fma.f64 (+.f64 1 (cos.f64 x)) (*.f64 (pow.f64 eps 3) (fma.f64 -1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (fma.f64 -1/2 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (fma.f64 -1 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2)))))) (*.f64 1/6 (fma.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))))))) (*.f64 (neg.f64 eps) (sin.f64 x))))) |
(+.f64 (cos.f64 x) (-.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (*.f64 eps (*.f64 eps (fma.f64 1/2 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))))) (*.f64 (pow.f64 eps 3) (fma.f64 -1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (fma.f64 -1/2 (*.f64 (tan.f64 (/.f64 x 2)) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))))) (*.f64 1/6 (fma.f64 -3 (*.f64 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (tan.f64 (/.f64 x 2))) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (tan.f64 (/.f64 x 2)))))))))) (*.f64 eps (sin.f64 x)))) |
(+.f64 (cos.f64 x) (-.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (*.f64 -1/2 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) 0)) (*.f64 (fma.f64 -1/6 (pow.f64 (tan.f64 (/.f64 x 2)) 3) (fma.f64 1/6 (fma.f64 -3 (*.f64 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (tan.f64 (/.f64 x 2))) (fma.f64 -2 (pow.f64 (tan.f64 (/.f64 x 2)) 3) (tan.f64 (/.f64 x 2)))) (*.f64 -1/2 (-.f64 (/.f64 (/.f64 (neg.f64 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (pow.f64 (tan.f64 (/.f64 x 2)) 3))))) eps)))) (*.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 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)) |
(log.f64 (+.f64 (cos.f64 eps) 1)) |
(log1p.f64 (cos.f64 eps)) |
(+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (+.f64 (cos.f64 eps) 1)))) |
(+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (/.f64 (neg.f64 (*.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) 1))) |
(-.f64 (log1p.f64 (cos.f64 eps)) (*.f64 (tan.f64 (/.f64 eps 2)) x)) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 2))) (+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (+.f64 (cos.f64 eps) 1))))) |
(fma.f64 1/2 (*.f64 (*.f64 -1 (+.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (*.f64 x x)) (+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (/.f64 (neg.f64 (*.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) 1)))) |
(-.f64 (fma.f64 (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))) (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))) (*.f64 x x) (log1p.f64 (cos.f64 eps))) (*.f64 (tan.f64 (/.f64 eps 2)) x)) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 2))) (+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (+.f64 (cos.f64 eps) 1))) (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (+.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) 1)) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))))) (pow.f64 x 3)))))) |
(fma.f64 1/2 (*.f64 (*.f64 -1 (+.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (*.f64 x x)) (+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (fma.f64 -1 (/.f64 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) 1)) (*.f64 1/6 (*.f64 (fma.f64 -3 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)) (+.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) 1)) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))))) (pow.f64 x 3)))))) |
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))) (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))) (*.f64 x x) (log1p.f64 (cos.f64 eps))) (*.f64 (tan.f64 (/.f64 eps 2)) x)) (*.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (tan.f64 (/.f64 eps 2))) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3)) (tan.f64 (/.f64 eps 2)))) (pow.f64 x 3)))) |
(+.f64 (-.f64 (log1p.f64 (cos.f64 eps)) (*.f64 (tan.f64 (/.f64 eps 2)) x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 1/6 (fma.f64 -3 (*.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (tan.f64 (/.f64 eps 2))) (fma.f64 -2 (pow.f64 (tan.f64 (/.f64 eps 2)) 3) (tan.f64 (/.f64 eps 2))))) x) (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))) (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))))) |
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x)))) |
(log1p.f64 (cos.f64 (+.f64 eps x))) |
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x)))) |
(log1p.f64 (cos.f64 (+.f64 eps x))) |
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x)))) |
(log1p.f64 (cos.f64 (+.f64 eps x))) |
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x)))) |
(log1p.f64 (cos.f64 (+.f64 eps x))) |
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x))))) |
(log1p.f64 (cos.f64 (+.f64 eps x))) |
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x))))) |
(log1p.f64 (cos.f64 (+.f64 eps x))) |
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x))))) |
(log1p.f64 (cos.f64 (+.f64 eps x))) |
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x))))) |
(log1p.f64 (cos.f64 (+.f64 eps x))) |
(log.f64 (+.f64 (cos.f64 x) 1)) |
(log.f64 (+.f64 1 (cos.f64 x))) |
(log1p.f64 (cos.f64 x)) |
(+.f64 (log.f64 (+.f64 (cos.f64 x) 1)) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) 1)))) |
(+.f64 (log.f64 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 (neg.f64 eps) (sin.f64 x)) (+.f64 1 (cos.f64 x)))) |
(-.f64 (log1p.f64 (cos.f64 x)) (*.f64 (/.f64 eps (+.f64 1 (cos.f64 x))) (sin.f64 x))) |
(-.f64 (log1p.f64 (cos.f64 x)) (*.f64 (tan.f64 (/.f64 x 2)) eps)) |
(+.f64 (log.f64 (+.f64 (cos.f64 x) 1)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) 1))))) |
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(+.f64 (log1p.f64 (cos.f64 x)) (-.f64 (*.f64 eps (*.f64 eps (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))) (*.f64 (/.f64 eps (+.f64 1 (cos.f64 x))) (sin.f64 x)))) |
(+.f64 (log1p.f64 (cos.f64 x)) (fma.f64 eps (*.f64 eps (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) (neg.f64 (*.f64 (tan.f64 (/.f64 x 2)) eps)))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1)))))) (+.f64 (log.f64 (+.f64 (cos.f64 x) 1)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) 1)))))) |
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))))) (+.f64 (log.f64 (+.f64 1 (cos.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -1 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2))))) (/.f64 (*.f64 (neg.f64 eps) (sin.f64 x)) (+.f64 1 (cos.f64 x)))))) |
(+.f64 (-.f64 (*.f64 eps (*.f64 eps (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))) (*.f64 (/.f64 eps (+.f64 1 (cos.f64 x))) (sin.f64 x))) (fma.f64 (*.f64 1/6 (pow.f64 eps 3)) (fma.f64 -3 (*.f64 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (tan.f64 (/.f64 x 2))) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (tan.f64 (/.f64 x 2)))) (log1p.f64 (cos.f64 x)))) |
(+.f64 (fma.f64 eps (*.f64 eps (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) (neg.f64 (*.f64 (tan.f64 (/.f64 x 2)) eps))) (fma.f64 (*.f64 1/6 (pow.f64 eps 3)) (fma.f64 -3 (*.f64 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (tan.f64 (/.f64 x 2))) (fma.f64 -2 (pow.f64 (tan.f64 (/.f64 x 2)) 3) (tan.f64 (/.f64 x 2)))) (log1p.f64 (cos.f64 x)))) |
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x)))) |
(log1p.f64 (cos.f64 (+.f64 eps x))) |
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x)))) |
(log1p.f64 (cos.f64 (+.f64 eps x))) |
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x)))) |
(log1p.f64 (cos.f64 (+.f64 eps x))) |
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x)))) |
(log1p.f64 (cos.f64 (+.f64 eps x))) |
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps))))) |
(log1p.f64 (cos.f64 (+.f64 eps x))) |
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps))))) |
(log1p.f64 (cos.f64 (+.f64 eps x))) |
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps))))) |
(log1p.f64 (cos.f64 (+.f64 eps x))) |
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps))))) |
(log1p.f64 (cos.f64 (+.f64 eps x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (cos.f64 x) | |
| ✓ | 0.1b | (*.f64 (cos.f64 x) (cos.f64 eps)) |
| ✓ | 0.1b | (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) |
| ✓ | 1.8b | (fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
Compiled 48 to 12 computations (75% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | eps | @ | 0 | (fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
| 3.0ms | x | @ | inf | (fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
| 3.0ms | eps | @ | inf | (fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
| 2.0ms | x | @ | -inf | (fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
| 2.0ms | eps | @ | -inf | (fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
| 1× | batch-egg-rewrite |
| 772× | prod-diff_binary64 |
| 509× | log-prod_binary64 |
| 326× | pow-prod-down_binary64 |
| 292× | pow2_binary64 |
| 238× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 42 |
| 1 | 237 | 38 |
| 2 | 2947 | 38 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 x) (cos.f64 eps)) |
| Outputs |
|---|
((#(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 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (fma.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 1 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (fma.f64 -1 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (fma.f64 1 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2)) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (fma.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) -1 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 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(*.f64 (cos.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1) (*.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 1) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2) (neg.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2)) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2)) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (*.f64 0 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (-.f64 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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (cos.f64 x)) (exp.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 x))) (exp.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (+.f64 1 (expm1.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (cos.f64 eps))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (cos.f64 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 1)))))) |
| 1× | egg-herbie |
| 568× | fma-def_binary64 |
| 439× | distribute-rgt-neg-in_binary64 |
| 435× | associate-+l+_binary64 |
| 416× | unswap-sqr_binary64 |
| 398× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 1178 |
| 1 | 272 | 1089 |
| 2 | 793 | 1037 |
| 3 | 2929 | 1019 |
| 4 | 6239 | 1019 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (cos.f64 eps) 1) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(*.f64 -1 (*.f64 eps (sin.f64 x))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
1 |
(+.f64 1 (*.f64 (sin.f64 eps) x)) |
(+.f64 1 (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 -1/2 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 1 (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 -1/2 (pow.f64 x 2))))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(cos.f64 x) |
(+.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) |
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))) |
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(cos.f64 eps) |
(+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 1/24 (*.f64 (cos.f64 eps) (pow.f64 x 4))))) |
(+.f64 (*.f64 -1/720 (*.f64 (cos.f64 eps) (pow.f64 x 6))) (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 1/24 (*.f64 (cos.f64 eps) (pow.f64 x 4)))))) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(cos.f64 x) |
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
| Outputs |
|---|
(-.f64 (cos.f64 eps) 1) |
(+.f64 (cos.f64 eps) -1) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(+.f64 (cos.f64 eps) (-.f64 (neg.f64 (*.f64 x (sin.f64 eps))) 1)) |
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) -1)) |
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1)) |
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1) |
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x))) 1)) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))) (fma.f64 (neg.f64 x) (sin.f64 eps) -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 (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 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) (-.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 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 eps) (fma.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (fma.f64 (sin.f64 eps) (-.f64 (*.f64 1/6 (pow.f64 x 3)) x) -1))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(*.f64 -1 (*.f64 eps (sin.f64 x))) |
(neg.f64 (*.f64 eps (sin.f64 x))) |
(*.f64 (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)) (neg.f64 (*.f64 eps (sin.f64 x)))) |
(-.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))) (*.f64 eps (sin.f64 x))) |
(-.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps))) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (neg.f64 (*.f64 eps (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))) (*.f64 eps (sin.f64 x)))) |
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3))))) |
(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)) (neg.f64 (*.f64 eps (sin.f64 x)))))) |
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))) (*.f64 eps (sin.f64 x))))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps -1/2)))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))) |
(+.f64 (*.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 (pow.f64 eps 3) 1/24) (*.f64 eps -1/2)))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
1 |
(+.f64 1 (*.f64 (sin.f64 eps) x)) |
(+.f64 1 (*.f64 x (sin.f64 eps))) |
(fma.f64 x (sin.f64 eps) 1) |
(+.f64 1 (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 -1/2 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 (sin.f64 eps) x (*.f64 -1/2 (*.f64 x x)))) |
(+.f64 1 (fma.f64 x (sin.f64 eps) (*.f64 -1/2 (*.f64 x x)))) |
(fma.f64 x (sin.f64 eps) (fma.f64 x (*.f64 x -1/2) 1)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 1 (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 -1/2 (pow.f64 x 2))))) |
(fma.f64 -1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (+.f64 1 (fma.f64 (sin.f64 eps) x (*.f64 -1/2 (*.f64 x x))))) |
(+.f64 (fma.f64 x (sin.f64 eps) (*.f64 -1/2 (*.f64 x x))) (fma.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) -1/6 1)) |
(fma.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) -1/6) (fma.f64 x (sin.f64 eps) (fma.f64 x (*.f64 x -1/2) 1))) |
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (*.f64 (sin.f64 eps) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) |
(fma.f64 eps (sin.f64 x) (cos.f64 x)) |
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))) |
(+.f64 (fma.f64 eps (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) -1/6)) |
(fma.f64 eps (sin.f64 x) (fma.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) -1/6 (cos.f64 x))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 eps 3) -1/6) eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6)))) |
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))) |
(+.f64 (fma.f64 eps (sin.f64 x) (cos.f64 x)) (fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 eps 5)) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) -1/6))) |
(+.f64 (fma.f64 eps (sin.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 eps 3) -1/6) (*.f64 1/120 (pow.f64 eps 5))))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 eps (fma.f64 (pow.f64 eps 3) -1/6 (*.f64 1/120 (pow.f64 eps 5)))))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 eps (fma.f64 1/120 (pow.f64 eps 5) (*.f64 (pow.f64 eps 3) -1/6))))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(cos.f64 eps) |
(+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) |
(+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)))) |
(fma.f64 (*.f64 (cos.f64 eps) -1/2) (*.f64 x x) (cos.f64 eps)) |
(*.f64 (fma.f64 x (*.f64 x -1/2) 1) (cos.f64 eps)) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 1/24 (*.f64 (cos.f64 eps) (pow.f64 x 4))))) |
(+.f64 (cos.f64 eps) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 1/24 (*.f64 (cos.f64 eps) (pow.f64 x 4))))) |
(fma.f64 (cos.f64 eps) (*.f64 1/24 (pow.f64 x 4)) (*.f64 (fma.f64 x (*.f64 x -1/2) 1) (cos.f64 eps))) |
(*.f64 (cos.f64 eps) (+.f64 (fma.f64 x (*.f64 x -1/2) 1) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 (*.f64 -1/720 (*.f64 (cos.f64 eps) (pow.f64 x 6))) (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 1/24 (*.f64 (cos.f64 eps) (pow.f64 x 4)))))) |
(fma.f64 -1/720 (*.f64 (cos.f64 eps) (pow.f64 x 6)) (+.f64 (cos.f64 eps) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 1/24 (*.f64 (cos.f64 eps) (pow.f64 x 4)))))) |
(+.f64 (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 1/24 (*.f64 (cos.f64 eps) (pow.f64 x 4)))) (fma.f64 (*.f64 (cos.f64 eps) -1/720) (pow.f64 x 6) (cos.f64 eps))) |
(+.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) (cos.f64 eps)) (*.f64 (cos.f64 eps) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(fma.f64 (cos.f64 eps) (*.f64 -1/720 (pow.f64 x 6)) (*.f64 (cos.f64 eps) (+.f64 (fma.f64 x (*.f64 x -1/2) 1) (*.f64 1/24 (pow.f64 x 4))))) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(cos.f64 x) |
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))) |
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)))) |
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) |
(*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 eps -1/2) eps 1)) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))) |
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps))))) |
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x))) |
(*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (fma.f64 1/24 (pow.f64 eps 4) 1))) |
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 eps eps) 1))) |
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 (*.f64 eps -1/2) eps 1))) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))) |
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (+.f64 (cos.f64 x) (fma.f64 -1/720 (*.f64 (cos.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6)))) (fma.f64 (*.f64 1/24 (pow.f64 eps 4)) (cos.f64 x) (cos.f64 x))) |
(fma.f64 (fma.f64 1/24 (pow.f64 eps 4) 1) (cos.f64 x) (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6))))) |
(*.f64 (cos.f64 x) (+.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6))) (fma.f64 1/24 (pow.f64 eps 4) 1))) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
Compiled 29854 to 11840 computations (60.3% saved)
64 alts after pruning (61 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1212 | 57 | 1269 |
| Fresh | 31 | 4 | 35 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 1246 | 64 | 1310 |
| Status | Error | Program |
|---|---|---|
| 46.6b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 (pow.f64 eps 3)) 1/2))) -2) | |
| 38.5b | (-.f64 (cos.f64 (+.f64 x eps)) 1) | |
| 51.7b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2) | |
| ✓ | 38.5b | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 37.4b | (fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (cos.f64 x))) | |
| 45.3b | (-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x)) | |
| ▶ | 41.0b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2) |
| 31.9b | (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2) | |
| 35.0b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2) | |
| 54.8b | (-.f64 (cos.f64 x) (cos.f64 x)) | |
| 38.1b | (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1)) | |
| 25.6b | (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) | |
| 43.5b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2) | |
| 53.7b | (*.f64 (*.f64 (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))) -2) | |
| 38.6b | (-.f64 (cos.f64 (+.f64 x eps)) (*.f64 3 (*.f64 1/3 (cos.f64 x)))) | |
| 25.6b | (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) | |
| 31.7b | (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3) | |
| 25.5b | (fma.f64 1 (*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 38.8b | (-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x)) | |
| 29.6b | (*.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))))) -2) | |
| 38.6b | (+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 -1 (cos.f64 x))) | |
| 37.8b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)) -2) | |
| 29.4b | (*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x))) | |
| 37.9b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))))) -2) | |
| 48.5b | (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) | |
| ✓ | 38.0b | (-.f64 (cos.f64 eps) 1) |
| 42.5b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 eps)))) -2) | |
| 48.6b | (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) | |
| ✓ | 12.5b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) |
| 38.1b | (/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1))) | |
| 25.9b | (-.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) 1) (cos.f64 x)) | |
| 25.9b | (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (log.f64 (exp.f64 (cos.f64 x)))) | |
| 36.1b | (*.f64 (sin.f64 x) (neg.f64 eps)) | |
| 38.1b | (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) | |
| ▶ | 12.6b | (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
| 38.7b | (-.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (cos.f64 x) 2))) | |
| 25.6b | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x))))) | |
| 38.0b | (*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2) | |
| ▶ | 13.9b | (*.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)))) |
| ▶ | 48.2b | (*.f64 -1/2 (*.f64 eps eps)) |
| 38.0b | (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) | |
| 38.3b | (fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 1)) | |
| 26.3b | (fma.f64 1 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 3) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 31.4b | (*.f64 (log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) | |
| 12.8b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))))) -2) | |
| 38.0b | (-.f64 (cos.f64 eps) (cos.f64 x)) | |
| 31.4b | (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) | |
| 38.0b | (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) | |
| 28.7b | (*.f64 (*.f64 (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)))) -2) | |
| 32.1b | (fma.f64 1 (*.f64 (exp.f64 (log.f64 (cos.f64 x))) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 39.1b | (-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) | |
| 46.7b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2) | |
| 54.1b | (sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) | |
| 36.3b | (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2) | |
| 25.6b | (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x)) | |
| 26.3b | (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))))) | |
| 53.3b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) -2) | |
| 46.7b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))) -2) | |
| 38.2b | (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3) | |
| 38.6b | (-.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) | |
| 25.6b | (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) | |
| 38.7b | (-.f64 (+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) -1) (cos.f64 x)) | |
| 31.4b | (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) | |
| ▶ | 38.2b | (*.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
Compiled 1956 to 1484 computations (24.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sin.f64 (*.f64 1/2 eps)) |
| ✓ | 0.0b | (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
| ✓ | 0.3b | (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) |
| ✓ | 2.6b | (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) |
Compiled 64 to 47 computations (26.6% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) |
| 1.0ms | eps | @ | -inf | (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
| 1.0ms | eps | @ | inf | (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) |
| 1.0ms | eps | @ | -inf | (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) |
| 1.0ms | eps | @ | inf | (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
| 1× | batch-egg-rewrite |
| 709× | log-prod_binary64 |
| 455× | fma-def_binary64 |
| 370× | pow2_binary64 |
| 257× | pow1/3_binary64 |
| 257× | expm1-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 61 |
| 1 | 282 | 61 |
| 2 | 3733 | 55 |
| 1× | node limit |
| Inputs |
|---|
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) |
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(sin.f64 (*.f64 1/2 eps)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (*.f64 x 2)))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (fma.f64 x 2 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (fma.f64 x 2 eps))))) (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (fma.f64 x 2 eps)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (fma.f64 x 2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps))))))) (#(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 (*.f64 1/2 (fma.f64 x 2 eps))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (*.f64 1/2 (-.f64 (fma.f64 x 2 eps) eps))) 2) (/.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 x 2 eps) eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (fma.f64 x 2 eps) eps))) (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 x 2 eps) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (fma.f64 x 2 eps) eps))) (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 x 2 eps) eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (fma.f64 x 2 eps)))) (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 x 2 eps) eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (fma.f64 x 2 eps) eps))) (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 x 2 eps) eps))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) 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 (*.f64 1/2 (fma.f64 x 2 eps))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (fma.f64 x 2 eps) eps))) (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 x 2 eps) eps))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (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 (*.f64 1/2 (fma.f64 x 2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) 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 (*.f64 1/2 (fma.f64 x 2 eps))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) -2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) -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 (*.f64 1/2 (fma.f64 x 2 eps)))) -2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (fma.f64 x 2 eps) eps))) (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 x 2 eps) eps)))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (fma.f64 x 2 eps) eps))) (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 x 2 eps) eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps))))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 1/2 eps)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 1/2 eps)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (sqrt.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 1/2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 eps))) 1)))))) |
| 1× | egg-herbie |
| 989× | fma-def_binary64 |
| 540× | distribute-rgt-out_binary64 |
| 476× | associate-*l*_binary64 |
| 429× | distribute-lft-out_binary64 |
| 425× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 1401 |
| 1 | 375 | 1287 |
| 2 | 1098 | 1134 |
| 3 | 4078 | 1102 |
| 4 | 7779 | 1102 |
| 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 -1 eps) (*.f64 -2 x)))) |
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) (*.f64 -2 x)))) |
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) (*.f64 -2 x)))) |
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) (*.f64 -2 x)))) |
(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 eps)) (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) (*.f64 -2 x))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) (*.f64 -2 x))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) (*.f64 -2 x))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) (*.f64 -2 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)) |
(+.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 -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 (-.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 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) (*.f64 -2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) (*.f64 -2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) (*.f64 -2 x)))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) (*.f64 -2 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 (*.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 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps)) |
(+.f64 (*.f64 1/3840 (pow.f64 eps 5)) (+.f64 (*.f64 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps))) |
(+.f64 (*.f64 1/3840 (pow.f64 eps 5)) (+.f64 (*.f64 -1/48 (pow.f64 eps 3)) (+.f64 (*.f64 -1/645120 (pow.f64 eps 7)) (*.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 1/2 (*.f64 eps (cos.f64 x)) (fma.f64 -1/8 (*.f64 (sin.f64 x) (*.f64 eps eps)) (sin.f64 x))) |
(fma.f64 1/2 (*.f64 eps (cos.f64 x)) (*.f64 (+.f64 1 (*.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) (fma.f64 1/2 eps (*.f64 -1/48 (pow.f64 eps 3)))))) |
(fma.f64 (cos.f64 x) (fma.f64 1/2 eps (*.f64 -1/48 (pow.f64 eps 3))) (fma.f64 -1/8 (*.f64 (sin.f64 x) (*.f64 eps eps)) (sin.f64 x))) |
(fma.f64 (cos.f64 x) (fma.f64 1/2 eps (*.f64 -1/48 (pow.f64 eps 3))) (*.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/8))) (sin.f64 x))) |
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) (*.f64 -2 x)))) |
(sin.f64 (*.f64 -1/2 (fma.f64 -1 eps (*.f64 x -2)))) |
(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 -1 eps) (*.f64 -2 x)))) |
(sin.f64 (*.f64 -1/2 (fma.f64 -1 eps (*.f64 x -2)))) |
(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 -1 eps) (*.f64 -2 x)))) |
(sin.f64 (*.f64 -1/2 (fma.f64 -1 eps (*.f64 x -2)))) |
(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 -1 eps) (*.f64 -2 x)))) |
(sin.f64 (*.f64 -1/2 (fma.f64 -1 eps (*.f64 x -2)))) |
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) |
(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))) |
(fma.f64 x (cos.f64 (*.f64 eps -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 -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 -1/2 (*.f64 x (*.f64 x (sin.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps)))) |
(fma.f64 x (cos.f64 (*.f64 eps -1/2)) (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (sin.f64 (*.f64 1/2 eps)))) |
(fma.f64 x (cos.f64 (*.f64 eps -1/2)) (*.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 x (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))) (fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 (*.f64 1/2 eps)))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) -1/6)))) |
(fma.f64 x (cos.f64 (*.f64 eps -1/2)) (fma.f64 (cos.f64 (*.f64 eps -1/2)) (*.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 eps -1/2)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))) |
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) |
(sin.f64 (*.f64 -1/2 (fma.f64 -1 eps (*.f64 x -2)))) |
(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 -1 eps (*.f64 x -2)))) |
(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 -1 eps (*.f64 x -2)))) |
(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 -1 eps (*.f64 x -2)))) |
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) |
(sin.f64 (fma.f64 1/2 eps x)) |
(*.f64 1/2 (*.f64 eps (sin.f64 x))) |
(*.f64 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 (*.f64 eps eps) (*.f64 (cos.f64 x) 1/4))) |
(fma.f64 (sin.f64 x) (*.f64 1/2 eps) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 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 eps (*.f64 eps 1/4)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/12)))) |
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/12 (*.f64 eps eps)) 1/2)) (*.f64 (*.f64 eps (cos.f64 x)) 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 (*.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 eps (*.f64 eps 1/4)) (fma.f64 (cos.f64 x) (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/12))))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/12))) (*.f64 (cos.f64 x) (+.f64 (*.f64 eps (*.f64 eps 1/4)) (*.f64 -1/48 (pow.f64 eps 4))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) (*.f64 -2 x))))) |
(*.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 eps (*.f64 x -2)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) (*.f64 -2 x))))) |
(*.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 eps (*.f64 x -2)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) (*.f64 -2 x))))) |
(*.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 eps (*.f64 x -2)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) (*.f64 -2 x))))) |
(*.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 eps (*.f64 x -2)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 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 (sin.f64 (*.f64 1/2 eps)) (fma.f64 x (cos.f64 (*.f64 eps -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 -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 (*.f64 x x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) |
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 x (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (*.f64 x x) -1/2))) |
(fma.f64 x (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 eps -1/2))) (*.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 eps -1/2)) (*.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 (*.f64 x x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) |
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 x (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (fma.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) (sin.f64 (*.f64 1/2 eps)))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (*.f64 x x) -1/2)))) |
(+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x (*.f64 x -1/2))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 x (cos.f64 (*.f64 eps -1/2)) (fma.f64 (cos.f64 (*.f64 eps -1/2)) (*.f64 -1/6 (pow.f64 x 3)) (sin.f64 (*.f64 1/2 eps)))))) |
(*.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 eps -1/2)) (+.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 (fma.f64 -1 eps (*.f64 x -2)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 eps (*.f64 x -2)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 eps (*.f64 x -2)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 -1/2 (fma.f64 -1 eps (*.f64 x -2)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))) |
(*.f64 -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 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 x) eps)) |
(-.f64 (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) -1/2)) (*.f64 (sin.f64 x) eps)) |
(neg.f64 (*.f64 eps (fma.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 (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 (*.f64 (sin.f64 x) -1/12) (*.f64 (pow.f64 eps 3) -2)) (*.f64 (sin.f64 x) eps))) |
(-.f64 (fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6))) (*.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 (*.f64 (sin.f64 x) -1/12) (*.f64 (pow.f64 eps 3) -2)) (*.f64 (sin.f64 x) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 4) 1/24) (*.f64 (*.f64 eps eps) -1/2)))) |
(-.f64 (fma.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 4) 1/24 (*.f64 eps (*.f64 eps -1/2))) (*.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 (*.f64 (pow.f64 eps 3) -2) -1/12) eps))) |
(*.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 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (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 (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 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (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 (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 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (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 (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 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (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 (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 -1 eps) (*.f64 -2 x)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (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 (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 -1 eps) (*.f64 -2 x)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (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 (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 -1 eps) (*.f64 -2 x)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (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 (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 -1 eps) (*.f64 -2 x)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (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 (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 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 x (cos.f64 (*.f64 eps -1/2)) (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 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (cos.f64 (*.f64 1/2 eps))))))) |
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 -2 (*.f64 x x)))) |
(fma.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (cos.f64 (*.f64 eps -1/2)))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 -2 (*.f64 x x)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x (*.f64 (cos.f64 (*.f64 eps -1/2)) -2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.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 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 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (cos.f64 (*.f64 1/2 eps)))))))) |
(+.f64 (fma.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)) (cos.f64 (*.f64 1/2 eps))) (*.f64 (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 -2 (*.f64 x x)) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 eps -1/2))) (+.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) 1/3)))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (*.f64 x (cos.f64 (*.f64 eps -1/2))) (+.f64 (*.f64 (*.f64 x x) 1/3) -2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.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 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (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 (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 eps (*.f64 2 x)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (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 (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 eps (*.f64 2 x)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (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 (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 eps (*.f64 2 x)))))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (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 (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 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (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 (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 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (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 (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 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (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 (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 eps (*.f64 x 2))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (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 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x)))) |
(*.f64 1/2 eps) |
(+.f64 (*.f64 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps)) |
(fma.f64 -1/48 (pow.f64 eps 3) (*.f64 1/2 eps)) |
(fma.f64 1/2 eps (*.f64 -1/48 (pow.f64 eps 3))) |
(+.f64 (*.f64 1/3840 (pow.f64 eps 5)) (+.f64 (*.f64 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps))) |
(fma.f64 1/3840 (pow.f64 eps 5) (fma.f64 -1/48 (pow.f64 eps 3) (*.f64 1/2 eps))) |
(fma.f64 1/3840 (pow.f64 eps 5) (fma.f64 1/2 eps (*.f64 -1/48 (pow.f64 eps 3)))) |
(fma.f64 1/2 eps (fma.f64 -1/48 (pow.f64 eps 3) (*.f64 1/3840 (pow.f64 eps 5)))) |
(+.f64 (*.f64 1/3840 (pow.f64 eps 5)) (+.f64 (*.f64 -1/48 (pow.f64 eps 3)) (+.f64 (*.f64 -1/645120 (pow.f64 eps 7)) (*.f64 1/2 eps)))) |
(fma.f64 1/3840 (pow.f64 eps 5) (fma.f64 -1/48 (pow.f64 eps 3) (fma.f64 -1/645120 (pow.f64 eps 7) (*.f64 1/2 eps)))) |
(fma.f64 1/3840 (pow.f64 eps 5) (fma.f64 -1/48 (pow.f64 eps 3) (fma.f64 1/2 eps (*.f64 -1/645120 (pow.f64 eps 7))))) |
(fma.f64 -1/48 (pow.f64 eps 3) (fma.f64 1/3840 (pow.f64 eps 5) (fma.f64 1/2 eps (*.f64 -1/645120 (pow.f64 eps 7))))) |
Compiled 12 to 6 computations (50% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 1 (/.f64 eps (*.f64 eps eps))) |
| ✓ | 0.2b | (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) |
| ✓ | 3.9b | (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2)) |
| ✓ | 28.4b | (/.f64 eps (*.f64 eps eps)) |
Compiled 104 to 45 computations (56.7% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) |
| 1.0ms | eps | @ | -inf | (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) |
| 1.0ms | x | @ | 0 | (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) |
| 1.0ms | eps | @ | -inf | (/.f64 eps (*.f64 eps eps)) |
| 1.0ms | eps | @ | 0 | (/.f64 eps (*.f64 eps eps)) |
| 1× | batch-egg-rewrite |
| 497× | log-prod_binary64 |
| 402× | fma-def_binary64 |
| 275× | pow2_binary64 |
| 254× | fma-neg_binary64 |
| 188× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 52 |
| 1 | 339 | 20 |
| 2 | 4716 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 eps (*.f64 eps eps)) |
(sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2)) |
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) |
(/.f64 1 (/.f64 eps (*.f64 eps eps))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 eps)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (pow.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (pow.f64 eps -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (pow.f64 eps -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (pow.f64 eps -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 eps)) (/.f64 1 (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 eps) (/.f64 1 (*.f64 eps (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 eps -2) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) eps) (/.f64 (cbrt.f64 eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 eps 4))) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 eps 4))) (/.f64 1 (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (pow.f64 eps 4))) (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 eps -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 eps -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps eps) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 eps (*.f64 eps (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 eps)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 0)) (*.f64 (cos.f64 (*.f64 eps 1/2)) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 0) (cos.f64 (*.f64 eps 1/2))) (*.f64 (cos.f64 0) (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 eps 1/2)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 eps 1/2)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 eps 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) (cbrt.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2))) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 eps 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 eps 1/2))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1/2 (/.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 eps))))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 eps)))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (/.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (cos.f64 eps))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (-.f64 1 (cos.f64 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 eps 1/2)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 eps 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps 1/2) (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 eps)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 eps x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 eps)) 2)) (log.f64 (cbrt.f64 (exp.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 eps 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 eps (/.f64 0 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 eps x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps eps) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 eps) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 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x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 eps x)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (exp.f64 eps) (exp.f64 x)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 eps x)) (/.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (exp.f64 eps) (exp.f64 x)) (/.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 eps 1/2))) (sqrt.f64 (exp.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (sqrt.f64 (exp.f64 eps)) (+.f64 1 (expm1.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 eps 1/2))) (+.f64 1 (expm1.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 eps 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x . eps)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps 1 0)))) (#(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 eps 1/2 (*.f64 eps 1/2))))) (#(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) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 eps) (*.f64 eps eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 eps) (*.f64 eps eps) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 eps) (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps 0)))) (#(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 eps 1/2) (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 eps x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 eps (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps 1/2) 1 (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (/.f64 eps (cbrt.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (/.f64 eps (cbrt.f64 eps)) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) 1/2) (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 eps 1/2)) (pow.f64 (cbrt.f64 (*.f64 eps 1/2)) 2) (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps 1/2)) 2) (cbrt.f64 (*.f64 eps 1/2)) (*.f64 eps 1/2))))) (#(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) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) 1/2) (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 eps 1/2)) (sqrt.f64 (*.f64 eps 1/2)) (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 eps)) (/.f64 (*.f64 eps eps) (sqrt.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 eps)) (/.f64 (*.f64 eps eps) (sqrt.f64 eps)) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (/.f64 -1 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (/.f64 -1 eps)) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3) (pow.f64 eps -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3) (pow.f64 eps -2) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) 2) (cbrt.f64 (+.f64 eps x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 eps 4))) (sqrt.f64 (pow.f64 (cbrt.f64 eps) 2)) 0)))) (#(struct:change #<rule 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eps) 2) eps) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (sqrt.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (sqrt.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 eps)) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 eps) (*.f64 eps eps) (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (neg.f64 eps)) (*.f64 eps (neg.f64 eps)) (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 eps)) (*.f64 eps (neg.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 eps)) (*.f64 eps (neg.f64 eps)) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 eps) eps) eps 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 eps) eps) eps (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (/.f64 1 eps)) (*.f64 eps eps) (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 eps) (cbrt.f64 (pow.f64 eps 4))) (pow.f64 (cbrt.f64 eps) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 eps) (cbrt.f64 (pow.f64 eps 4))) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (/.f64 0 eps))))))) |
| 1× | egg-herbie |
| 781× | distribute-lft-out_binary64 |
| 761× | distribute-rgt-out_binary64 |
| 612× | associate-*l*_binary64 |
| 590× | fma-def_binary64 |
| 474× | associate-*r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 416 |
| 1 | 115 | 416 |
| 2 | 262 | 416 |
| 3 | 801 | 416 |
| 4 | 3516 | 416 |
| 5 | 6053 | 416 |
| 6 | 6667 | 416 |
| 7 | 7128 | 416 |
| 8 | 7688 | 416 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 eps) |
(/.f64 1 eps) |
(/.f64 1 eps) |
(/.f64 1 eps) |
(/.f64 1 eps) |
(/.f64 1 eps) |
(/.f64 1 eps) |
(/.f64 1 eps) |
(/.f64 1 eps) |
(/.f64 1 eps) |
(/.f64 1 eps) |
(/.f64 1 eps) |
(*.f64 1/2 eps) |
(+.f64 (*.f64 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps)) |
(+.f64 (*.f64 1/3840 (pow.f64 eps 5)) (+.f64 (*.f64 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps))) |
(+.f64 (*.f64 1/3840 (pow.f64 eps 5)) (+.f64 (*.f64 -1/48 (pow.f64 eps 3)) (+.f64 (*.f64 -1/645120 (pow.f64 eps 7)) (*.f64 1/2 eps)))) |
(sin.f64 (*.f64 1/2 eps)) |
(sin.f64 (*.f64 1/2 eps)) |
(sin.f64 (*.f64 1/2 eps)) |
(sin.f64 (*.f64 1/2 eps)) |
(sin.f64 (*.f64 1/2 eps)) |
(sin.f64 (*.f64 1/2 eps)) |
(sin.f64 (*.f64 1/2 eps)) |
(sin.f64 (*.f64 1/2 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))))) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
| Outputs |
|---|
(/.f64 1 eps) |
(/.f64 1 eps) |
(/.f64 1 eps) |
(/.f64 1 eps) |
(/.f64 1 eps) |
(/.f64 1 eps) |
(/.f64 1 eps) |
(/.f64 1 eps) |
(/.f64 1 eps) |
(/.f64 1 eps) |
(/.f64 1 eps) |
(/.f64 1 eps) |
(*.f64 1/2 eps) |
(*.f64 eps 1/2) |
(+.f64 (*.f64 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps)) |
(fma.f64 -1/48 (pow.f64 eps 3) (*.f64 eps 1/2)) |
(fma.f64 eps 1/2 (*.f64 -1/48 (pow.f64 eps 3))) |
(*.f64 eps (fma.f64 eps (*.f64 eps -1/48) 1/2)) |
(+.f64 (*.f64 1/3840 (pow.f64 eps 5)) (+.f64 (*.f64 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps))) |
(fma.f64 1/3840 (pow.f64 eps 5) (fma.f64 -1/48 (pow.f64 eps 3) (*.f64 eps 1/2))) |
(fma.f64 1/3840 (pow.f64 eps 5) (fma.f64 eps 1/2 (*.f64 -1/48 (pow.f64 eps 3)))) |
(fma.f64 eps 1/2 (fma.f64 -1/48 (pow.f64 eps 3) (*.f64 1/3840 (pow.f64 eps 5)))) |
(+.f64 (*.f64 1/3840 (pow.f64 eps 5)) (+.f64 (*.f64 -1/48 (pow.f64 eps 3)) (+.f64 (*.f64 -1/645120 (pow.f64 eps 7)) (*.f64 1/2 eps)))) |
(fma.f64 1/3840 (pow.f64 eps 5) (fma.f64 -1/48 (pow.f64 eps 3) (fma.f64 -1/645120 (pow.f64 eps 7) (*.f64 eps 1/2)))) |
(fma.f64 1/3840 (pow.f64 eps 5) (fma.f64 -1/48 (pow.f64 eps 3) (fma.f64 eps 1/2 (*.f64 -1/645120 (pow.f64 eps 7))))) |
(fma.f64 -1/48 (pow.f64 eps 3) (fma.f64 1/3840 (pow.f64 eps 5) (fma.f64 eps 1/2 (*.f64 -1/645120 (pow.f64 eps 7))))) |
(fma.f64 eps (fma.f64 eps (*.f64 eps -1/48) 1/2) (fma.f64 1/3840 (pow.f64 eps 5) (*.f64 -1/645120 (pow.f64 eps 7)))) |
(fma.f64 eps 1/2 (fma.f64 -1/48 (pow.f64 eps 3) (fma.f64 1/3840 (pow.f64 eps 5) (*.f64 -1/645120 (pow.f64 eps 7))))) |
(sin.f64 (*.f64 1/2 eps)) |
(sin.f64 (*.f64 eps 1/2)) |
(sin.f64 (*.f64 1/2 eps)) |
(sin.f64 (*.f64 eps 1/2)) |
(sin.f64 (*.f64 1/2 eps)) |
(sin.f64 (*.f64 eps 1/2)) |
(sin.f64 (*.f64 1/2 eps)) |
(sin.f64 (*.f64 eps 1/2)) |
(sin.f64 (*.f64 1/2 eps)) |
(sin.f64 (*.f64 eps 1/2)) |
(sin.f64 (*.f64 1/2 eps)) |
(sin.f64 (*.f64 eps 1/2)) |
(sin.f64 (*.f64 1/2 eps)) |
(sin.f64 (*.f64 eps 1/2)) |
(sin.f64 (*.f64 1/2 eps)) |
(sin.f64 (*.f64 eps 1/2)) |
(*.f64 1/4 (pow.f64 eps 2)) |
(*.f64 1/4 (*.f64 eps eps)) |
(*.f64 eps (*.f64 eps 1/4)) |
(+.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))) |
(fma.f64 eps (*.f64 eps 1/4) (*.f64 -1/48 (pow.f64 eps 4))) |
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps -1/48) 1/4))) |
(+.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 eps (*.f64 eps 1/4) (fma.f64 -1/48 (pow.f64 eps 4) (*.f64 1/1440 (pow.f64 eps 6)))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps -1/48) 1/4) (*.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))))) |
(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 eps (*.f64 eps 1/4) (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 eps (*.f64 eps 1/4) (fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 eps 4) -1/80640 -1/48) (*.f64 1/1440 (pow.f64 eps 6)))) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sin.f64 (*.f64 1/2 eps)) | |
| ✓ | 0.0b | (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
| ✓ | 0.3b | (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
| ✓ | 1.7b | (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) |
Compiled 44 to 37 computations (15.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) |
| 1.0ms | eps | @ | 0 | (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
| 1.0ms | eps | @ | inf | (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
| 1.0ms | eps | @ | inf | (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) |
| 1.0ms | eps | @ | -inf | (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
| 1× | batch-egg-rewrite |
| 644× | pow1_binary64 |
| 593× | add-log-exp_binary64 |
| 593× | log1p-expm1-u_binary64 |
| 593× | expm1-log1p-u_binary64 |
| 580× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 1 | 166 | 29 |
| 2 | 1677 | 29 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sqrt.f64 (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 eps))) (cos.f64 (+.f64 (*.f64 1/2 eps) (*.f64 1/2 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sqrt.f64 (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 eps))) (cos.f64 (+.f64 (*.f64 1/2 eps) (*.f64 1/2 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 2) (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))) |
| 1× | egg-herbie |
| 624× | distribute-rgt-out_binary64 |
| 614× | distribute-lft-out_binary64 |
| 518× | fma-def_binary64 |
| 493× | *-commutative_binary64 |
| 483× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 262 |
| 1 | 92 | 260 |
| 2 | 205 | 258 |
| 3 | 646 | 258 |
| 4 | 2858 | 258 |
| 5 | 5791 | 258 |
| 6 | 6234 | 258 |
| 7 | 6816 | 258 |
| 8 | 7669 | 258 |
| 1× | node limit |
| Inputs |
|---|
(*.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))))) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(*.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))))) |
1 |
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) 1) |
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 1 (*.f64 1/96 (pow.f64 eps 4)))) |
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 1 (+.f64 (*.f64 1/96 (pow.f64 eps 4)) (*.f64 -11/5760 (pow.f64 eps 6))))) |
| Outputs |
|---|
(*.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 eps (*.f64 eps (fma.f64 eps (*.f64 eps -1/48) 1/4))) |
(+.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 1/4 (*.f64 eps eps) (fma.f64 1/1440 (pow.f64 eps 6) (*.f64 -1/48 (pow.f64 eps 4)))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps -1/48) 1/4) (*.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))))) |
(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 -1/80640 (pow.f64 eps 8) (fma.f64 1/1440 (pow.f64 eps 6) (*.f64 -1/48 (pow.f64 eps 4))))) |
(fma.f64 1/4 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 eps 4) -1/80640 -1/48) (*.f64 1/1440 (pow.f64 eps 6)))) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) |
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 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 eps (*.f64 eps (fma.f64 eps (*.f64 eps -1/48) 1/4))) |
(+.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 1/4 (*.f64 eps eps) (fma.f64 1/1440 (pow.f64 eps 6) (*.f64 -1/48 (pow.f64 eps 4)))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps -1/48) 1/4) (*.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))))) |
(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 -1/80640 (pow.f64 eps 8) (fma.f64 1/1440 (pow.f64 eps 6) (*.f64 -1/48 (pow.f64 eps 4))))) |
(fma.f64 1/4 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 eps 4) -1/80640 -1/48) (*.f64 1/1440 (pow.f64 eps 6)))) |
1 |
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) 1) |
(fma.f64 1/4 (*.f64 eps eps) 1) |
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 1 (*.f64 1/96 (pow.f64 eps 4)))) |
(+.f64 (fma.f64 1/4 (*.f64 eps eps) 1) (*.f64 (pow.f64 eps 4) 1/96)) |
(fma.f64 1/4 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/96 1)) |
(fma.f64 (pow.f64 eps 4) 1/96 (fma.f64 1/4 (*.f64 eps eps) 1)) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) 1/96 1/4) 1) |
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 1 (+.f64 (*.f64 1/96 (pow.f64 eps 4)) (*.f64 -11/5760 (pow.f64 eps 6))))) |
(+.f64 (fma.f64 1/4 (*.f64 eps eps) 1) (fma.f64 1/96 (pow.f64 eps 4) (*.f64 (pow.f64 eps 6) -11/5760))) |
(+.f64 (fma.f64 1/4 (*.f64 eps eps) 1) (fma.f64 (pow.f64 eps 4) 1/96 (*.f64 (pow.f64 eps 6) -11/5760))) |
(fma.f64 1/4 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/96 (fma.f64 (pow.f64 eps 6) -11/5760 1))) |
(fma.f64 (pow.f64 eps 4) 1/96 (fma.f64 (pow.f64 eps 6) -11/5760 (fma.f64 1/4 (*.f64 eps eps) 1))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 x (+.f64 x eps)) | |
| 0.3b | (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) | |
| ✓ | 1.0b | (cbrt.f64 -2) |
| 2.5b | (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) |
Compiled 98 to 44 computations (55.1% saved)
| 1× | batch-egg-rewrite |
| 569× | fma-def_binary64 |
| 367× | expm1-udef_binary64 |
| 366× | log1p-udef_binary64 |
| 312× | fma-neg_binary64 |
| 228× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 3 |
| 1 | 59 | 3 |
| 2 | 597 | 3 |
| 3 | 5910 | 3 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 -2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cbrt.f64 -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 -2)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cbrt.f64 -2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 -2)) (cbrt.f64 (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 4)) (cbrt.f64 (cbrt.f64 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -2 1/6) (pow.f64 -2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 4))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 -2))) (cbrt.f64 (cbrt.f64 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 16))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 4))) (cbrt.f64 (cbrt.f64 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 -2) 1/6) (*.f64 (pow.f64 (cbrt.f64 -2) 1/6) (cbrt.f64 (cbrt.f64 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -2 1/12) (pow.f64 -2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -2 1/12) (*.f64 (pow.f64 -2 1/12) (pow.f64 -2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -2 1/4) (pow.f64 -2 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 -2)) 5)) (pow.f64 (cbrt.f64 -2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 -2 1/6) (cbrt.f64 (cbrt.f64 -2))) (pow.f64 (cbrt.f64 -2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 -2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 16)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 4)) (cbrt.f64 (cbrt.f64 (cbrt.f64 4)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 4)) (pow.f64 (cbrt.f64 -2) 1/6)) (pow.f64 (cbrt.f64 -2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (cbrt.f64 -2) 1) 3) 1) (fma.f64 (+.f64 (cbrt.f64 -2) 1) (+.f64 (cbrt.f64 -2) 1) (+.f64 1 (+.f64 (cbrt.f64 -2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 (cbrt.f64 -2) 1) (+.f64 (cbrt.f64 -2) 1) -1) (+.f64 (+.f64 (cbrt.f64 -2) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 -2 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 4 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 -2 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cbrt.f64 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 -2)))) (sqrt.f64 (log.f64 (cbrt.f64 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 -2))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (cbrt.f64 -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (cbrt.f64 -2) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (cbrt.f64 -2) 1)) (cbrt.f64 (+.f64 (cbrt.f64 -2) 1))) (cbrt.f64 (+.f64 (cbrt.f64 -2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 -2 1/6)) (hypot.f64 1 (pow.f64 -2 1/6)) -1))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Compiled 16565 to 11385 computations (31.3% saved)
83 alts after pruning (77 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 701 | 45 | 746 |
| Fresh | 24 | 32 | 56 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 5 | 7 |
| Total | 727 | 83 | 810 |
| Status | Error | Program |
|---|---|---|
| 38.4b | (*.f64 (pow.f64 (cbrt.f64 -2) 3) (/.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2)) | |
| 28.7b | (*.f64 (*.f64 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))) -2) | |
| 51.6b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (pow.f64 (pow.f64 (/.f64 1 eps) 3) 1/3)) 1/2))) -2) | |
| 46.6b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 (pow.f64 eps 3)) 1/2))) -2) | |
| ▶ | 48.2b | (*.f64 (*.f64 eps (*.f64 eps 1/4)) -2) |
| 38.5b | (-.f64 (cos.f64 (+.f64 x eps)) 1) | |
| 37.4b | (fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (cos.f64 x))) | |
| 38.0b | (*.f64 (log1p.f64 (expm1.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2)))) -2) | |
| 29.2b | (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 1/2 eps)) -2) | |
| 45.3b | (-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x)) | |
| ✓ | 38.5b | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 27.8b | (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))) -2) | |
| 25.6b | (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) | |
| ▶ | 54.7b | (*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) |
| 53.7b | (*.f64 (*.f64 (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))) -2) | |
| 38.2b | (*.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2) | |
| 38.1b | (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1)) | |
| 36.1b | (*.f64 (sin.f64 x) (neg.f64 eps)) | |
| 52.2b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (exp.f64 (neg.f64 (log.f64 eps)))) 1/2))) -2) | |
| 53.5b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 eps))) 1)) 1/2))) -2) | |
| 29.6b | (*.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/12 (*.f64 eps eps)) 1/2)) (*.f64 (*.f64 eps (cos.f64 x)) 1/4))) -2) | |
| 31.7b | (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3) | |
| 25.5b | (fma.f64 1 (*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 38.1b | (*.f64 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2))))) -2) | |
| 38.6b | (-.f64 (cos.f64 (+.f64 x eps)) (*.f64 3 (*.f64 1/3 (cos.f64 x)))) | |
| 25.6b | (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) | |
| 46.7b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (sqrt.f64 2))) -2) | |
| 38.8b | (-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x)) | |
| 36.3b | (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2) | |
| 38.1b | (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) | |
| 21.7b | (*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps)))) 2) -2) | |
| 35.5b | (*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2) | |
| 36.1b | (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) -2) | |
| 13.3b | (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps)))) 3) -2) | |
| 29.4b | (*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x))) | |
| 15.8b | (*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) 3)) (sin.f64 (*.f64 1/2 eps))) -2) | |
| 48.5b | (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) | |
| ✓ | 38.0b | (-.f64 (cos.f64 eps) 1) |
| 13.3b | (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)) -2) | |
| 48.6b | (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) | |
| ✓ | 12.5b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) |
| 25.9b | (-.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) 1) (cos.f64 x)) | |
| 48.0b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 1 eps) 3))) 1/2))) -2) | |
| 46.7b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2) | |
| ✓ | 12.6b | (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
| 35.6b | (*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x))) | |
| ▶ | 38.1b | (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
| 38.7b | (-.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (cos.f64 x) 2))) | |
| 31.4b | (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) | |
| 25.6b | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x))))) | |
| 23.3b | (*.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps))))) -2) | |
| 23.1b | (*.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) (sin.f64 (*.f64 1/2 eps))) -2) | |
| ▶ | 0.4b | (*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2)))) (sin.f64 (*.f64 1/2 eps))) -2) |
| ✓ | 13.9b | (*.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)))) |
| ✓ | 48.2b | (*.f64 -1/2 (*.f64 eps eps)) |
| 40.8b | (*.f64 (*.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (fma.f64 x 2 eps))))) (sin.f64 (*.f64 1/2 eps))) -2) | |
| 35.0b | (*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) -2) | |
| 38.3b | (fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 1)) | |
| 38.0b | (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) | |
| 26.3b | (fma.f64 1 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 3) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 47.8b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 eps 1/2)) -2) | |
| 12.8b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))))) -2) | |
| 38.0b | (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) | |
| 51.7b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2) | |
| 32.1b | (fma.f64 1 (*.f64 (exp.f64 (log.f64 (cos.f64 x))) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 39.1b | (-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) | |
| 38.0b | (-.f64 (cos.f64 eps) (cos.f64 x)) | |
| 54.1b | (sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) | |
| 33.3b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 1 eps)) 1/2))) -2) | |
| 48.5b | (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps))))) 2) | |
| 43.5b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2) | |
| 42.5b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 eps 1/2)))) -2) | |
| 37.9b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))))))) -2) | |
| 26.3b | (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))))) | |
| 13.3b | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps))))) 3) | |
| 38.2b | (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3) | |
| 38.0b | (*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2) | |
| 54.8b | (*.f64 (log.f64 1) -2) | |
| 25.6b | (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) | |
| 38.7b | (-.f64 (+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) -1) (cos.f64 x)) | |
| 32.1b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (*.f64 (cbrt.f64 eps) (/.f64 eps (cbrt.f64 eps))) 1/2))) -2) | |
| 43.6b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 eps)) 3)) 1/2))) -2) | |
| ▶ | 32.1b | (*.f64 (pow.f64 (cbrt.f64 -2) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
Compiled 2676 to 2119 computations (20.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2)))) |
| ✓ | 0.1b | (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2))) |
| ✓ | 0.1b | (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) |
| ✓ | 0.3b | (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2)))) (sin.f64 (*.f64 1/2 eps))) |
Compiled 141 to 114 computations (19.1% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2)))) (sin.f64 (*.f64 1/2 eps))) |
| 1.0ms | eps | @ | inf | (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2)))) (sin.f64 (*.f64 1/2 eps))) |
| 1.0ms | eps | @ | -inf | (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2)))) (sin.f64 (*.f64 1/2 eps))) |
| 1.0ms | x | @ | -inf | (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2)))) (sin.f64 (*.f64 1/2 eps))) |
| 1.0ms | eps | @ | 0 | (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2)))) (sin.f64 (*.f64 1/2 eps))) |
| 1× | batch-egg-rewrite |
| 796× | log-prod_binary64 |
| 591× | fma-def_binary64 |
| 286× | expm1-udef_binary64 |
| 286× | log1p-udef_binary64 |
| 284× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 92 |
| 1 | 336 | 44 |
| 2 | 4415 | 44 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2)))) (sin.f64 (*.f64 1/2 eps))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) |
(*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2))) |
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2)))) |
| Outputs |
|---|
((#(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 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (sin.f64 (*.f64 1/2 eps))) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)) (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)) (sin.f64 (*.f64 1/2 eps))) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.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))))))) (#(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 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x))) (sin.f64 (*.f64 1/2 eps)))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x))) (sin.f64 (*.f64 1/2 eps)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.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 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x))) (sin.f64 (*.f64 1/2 eps))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x))) (sin.f64 (*.f64 1/2 eps))))))))) (#(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 (+.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 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.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 (pow.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x))) (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 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(*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x))) (sqrt.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 fma.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (*.f64 (sqrt.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 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 (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) (cbrt.f64 (pow.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 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))))))) |
| 1× | egg-herbie |
| 574× | distribute-rgt-out_binary64 |
| 496× | distribute-lft-out_binary64 |
| 464× | 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 | 1108 | 1943 |
| 3 | 3085 | 1903 |
| 4 | 5321 | 1903 |
| 5 | 6488 | 1903 |
| 6 | 6722 | 1903 |
| 7 | 7012 | 1903 |
| 8 | 7364 | 1903 |
| 9 | 7802 | 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))) |
(*.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 -1/8 (*.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))) |
(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 (*.f64 eps eps) (cos.f64 x)))) |
(*.f64 eps (+.f64 (*.f64 (cos.f64 x) (*.f64 eps 1/4)) (*.f64 1/2 (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))))) |
(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 (*.f64 eps 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 (*.f64 eps 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 (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 -1/48 (*.f64 (cos.f64 x) (pow.f64 eps 4)))) |
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/12) 1/2))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 1/4 (*.f64 eps eps))))) |
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/12) 1/2))) (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) (+.f64 1/4 (*.f64 (*.f64 eps eps) -1/48))))) |
(*.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 (sin.f64 (*.f64 1/2 eps)) (fma.f64 x (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (*.f64 x x) -1/2))) |
(fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (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 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 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 x (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (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 (*.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 (+.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)))))) |
(*.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))))) |
(*.f64 1/2 (*.f64 eps (cos.f64 x))) |
(*.f64 (*.f64 1/2 eps) (cos.f64 x)) |
(*.f64 (cos.f64 x) (*.f64 1/2 eps)) |
(+.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 (*.f64 1/2 eps) (cos.f64 x))) |
(*.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 (*.f64 1/3840 (pow.f64 eps 5)) (cos.f64 x)))) |
(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 1/3840 (pow.f64 eps 5))) (*.f64 (pow.f64 eps 3) -1/48))) |
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/3840 (pow.f64 eps 5)) (+.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 (*.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 1/2 eps) (*.f64 (pow.f64 eps 3) -1/48))) (*.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 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/48)) (+.f64 (*.f64 1/3840 (pow.f64 eps 5)) (*.f64 -1/645120 (pow.f64 eps 7))))) |
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/2 eps) (+.f64 (*.f64 -1/645120 (pow.f64 eps 7)) (+.f64 (*.f64 1/3840 (pow.f64 eps 5)) (*.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 x (*.f64 x -1/2)) 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 x (*.f64 x -1/2)) (*.f64 1/24 (pow.f64 x 4))))) |
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 1/24 (pow.f64 x 4)))) |
(+.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 x (*.f64 x -1/2)) 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 (pow.f64 x 4) (+.f64 (*.f64 (*.f64 x x) -1/720) 1/24))))) |
(*.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 -1/8 (*.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))) (fma.f64 1/384 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (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 (*.f64 (*.f64 1/384 eps) eps) -1/8)))) |
(+.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 (fma.f64 1/384 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (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 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 (+.f64 x (*.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 (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))) |
(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)) |
(fma.f64 (*.f64 1/2 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))) |
(fma.f64 -1/8 (*.f64 (sin.f64 x) (*.f64 eps eps)) (fma.f64 (*.f64 1/2 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 1/2 eps) (*.f64 (pow.f64 eps 3) -1/48))) (*.f64 (+.f64 (*.f64 (*.f64 eps eps) -1/8) 1) (sin.f64 x))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/48))) (*.f64 (sin.f64 x) (+.f64 1 (*.f64 eps (*.f64 eps -1/8))))) |
(+.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 x (*.f64 x -1/2)) 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 x (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))) (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) -1/6)))) |
(+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) |
(+.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))))) |
(+.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)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (*.f64 eps (*.f64 eps 1/4)) -2) |
Compiled 20 to 14 computations (30% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (*.f64 (*.f64 eps (*.f64 eps 1/4)) -2) |
| 1.0ms | eps | @ | inf | (*.f64 (*.f64 eps (*.f64 eps 1/4)) -2) |
| 1.0ms | eps | @ | -inf | (*.f64 (*.f64 eps (*.f64 eps 1/4)) -2) |
| 1× | batch-egg-rewrite |
| 633× | pow1_binary64 |
| 590× | add-log-exp_binary64 |
| 590× | log1p-expm1-u_binary64 |
| 590× | expm1-log1p-u_binary64 |
| 580× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 145 | 7 |
| 2 | 1619 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 eps (*.f64 eps 1/4)) -2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 eps -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 eps -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -2) (*.f64 eps 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (*.f64 eps -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 eps -1/2)))))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 617× | cube-prod_binary64 |
| 554× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 441× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 12 | 84 |
| 2 | 23 | 84 |
| 3 | 44 | 84 |
| 4 | 105 | 84 |
| 5 | 331 | 84 |
| 6 | 1250 | 84 |
| 7 | 2123 | 84 |
| 8 | 2287 | 84 |
| 9 | 2471 | 84 |
| 10 | 2679 | 84 |
| 11 | 2976 | 84 |
| 12 | 3371 | 84 |
| 13 | 3852 | 84 |
| 14 | 4418 | 84 |
| 15 | 5102 | 84 |
| 16 | 5935 | 84 |
| 17 | 6327 | 84 |
| 18 | 6619 | 84 |
| 19 | 6895 | 84 |
| 20 | 6969 | 84 |
| 21 | 7003 | 84 |
| 22 | 7944 | 84 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
| Outputs |
|---|
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 eps (*.f64 -1/2 eps)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 eps (*.f64 -1/2 eps)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 eps (*.f64 -1/2 eps)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 eps (*.f64 -1/2 eps)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 eps (*.f64 -1/2 eps)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 eps (*.f64 -1/2 eps)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 eps (*.f64 -1/2 eps)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 eps (*.f64 -1/2 eps)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 eps (*.f64 -1/2 eps)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 eps (*.f64 -1/2 eps)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 eps (*.f64 -1/2 eps)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 eps (*.f64 -1/2 eps)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (expm1.f64 (+.f64 (cos.f64 eps) -1)) |
| ✓ | 0.3b | (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
| ✓ | 1.4b | (+.f64 (cos.f64 eps) -1) |
Compiled 21 to 13 computations (38.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (expm1.f64 (+.f64 (cos.f64 eps) -1)) |
| 1.0ms | eps | @ | -inf | (expm1.f64 (+.f64 (cos.f64 eps) -1)) |
| 1.0ms | eps | @ | inf | (expm1.f64 (+.f64 (cos.f64 eps) -1)) |
| 1.0ms | eps | @ | 0 | (+.f64 (cos.f64 eps) -1) |
| 1.0ms | 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 | 1505 | 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 expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))))) (#(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 +.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 expm1.f64 (log1p.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 +.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 |
| 902× | distribute-rgt-out_binary64 |
| 620× | fma-def_binary64 |
| 565× | associate-*l*_binary64 |
| 520× | distribute-lft-in_binary64 |
| 434× | sqr-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 370 |
| 1 | 101 | 370 |
| 2 | 226 | 370 |
| 3 | 719 | 370 |
| 4 | 3407 | 370 |
| 5 | 5312 | 370 |
| 6 | 6312 | 370 |
| 7 | 6649 | 370 |
| 8 | 6979 | 370 |
| 9 | 7348 | 370 |
| 10 | 7801 | 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 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 1/40320 (pow.f64 eps 8) (*.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 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 1/40320 (pow.f64 eps 8) (*.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)) |
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/6) -1/2))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 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 6) -31/720 (*.f64 (pow.f64 eps 4) 1/6))) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/6 (*.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)))) |
(-.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 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sin.f64 (*.f64 1/2 eps)) | |
| ✓ | 0.0b | (*.f64 (pow.f64 (cbrt.f64 -2) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
| 0.3b | (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) | |
| 1.0b | (cbrt.f64 -2) |
Compiled 37 to 32 computations (13.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (*.f64 (pow.f64 (cbrt.f64 -2) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
| 1.0ms | eps | @ | -inf | (*.f64 (pow.f64 (cbrt.f64 -2) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
| 1.0ms | eps | @ | 0 | (*.f64 (pow.f64 (cbrt.f64 -2) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
| 1× | batch-egg-rewrite |
| 871× | pow1_binary64 |
| 813× | add-log-exp_binary64 |
| 811× | log1p-expm1-u_binary64 |
| 811× | expm1-log1p-u_binary64 |
| 795× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 12 |
| 1 | 251 | 12 |
| 2 | 2346 | 12 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sqrt.f64 -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))) |
| 1× | egg-herbie |
| 601× | distribute-rgt-out_binary64 |
| 478× | associate-+l+_binary64 |
| 477× | distribute-lft-out_binary64 |
| 452× | sqr-pow_binary64 |
| 425× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 166 |
| 1 | 67 | 166 |
| 2 | 145 | 166 |
| 3 | 459 | 166 |
| 4 | 2111 | 166 |
| 5 | 4525 | 166 |
| 6 | 4919 | 166 |
| 7 | 5453 | 166 |
| 8 | 6478 | 166 |
| 9 | 7506 | 166 |
| 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 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
| 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 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) 1/24 -1/2) (*.f64 -1/720 (pow.f64 eps 6))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2) (*.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))))) |
(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 -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))))) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (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)) | |
| 0.3b | (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) | |
| 2.5b | (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) |
Compiled 102 to 48 computations (52.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (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 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) |
| 1.0ms | x | @ | 0 | (*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) |
| 1.0ms | x | @ | inf | (*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) |
| 1.0ms | x | @ | -inf | (*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) |
| 1× | batch-egg-rewrite |
| 709× | fma-def_binary64 |
| 316× | fma-neg_binary64 |
| 271× | expm1-udef_binary64 |
| 271× | log1p-udef_binary64 |
| 213× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 29 |
| 1 | 447 | 12 |
| 2 | 6195 | 12 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (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 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sqrt.f64 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2)) 1)))))) |
| 1× | egg-herbie |
| 538× | neg-sub0_binary64 |
| 508× | neg-mul-1_binary64 |
| 358× | associate-*l*_binary64 |
| 348× | unswap-sqr_binary64 |
| 342× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 635 |
| 1 | 200 | 591 |
| 2 | 560 | 515 |
| 3 | 2457 | 508 |
| 4 | 6156 | 508 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 eps (sin.f64 x)) |
(+.f64 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))) |
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.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 eps (sin.f64 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.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 -1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 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 -1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))) (*.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)) (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 eps (sin.f64 x)) |
(+.f64 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))) |
(fma.f64 eps (sin.f64 x) (*.f64 1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))) |
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 eps (sin.f64 x))) |
(fma.f64 eps (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps 1/2)))) |
(*.f64 eps (+.f64 (sin.f64 x) (*.f64 1/2 (*.f64 eps (cos.f64 x))))) |
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))))) |
(fma.f64 eps (sin.f64 x) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 2 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12))))) |
(fma.f64 eps (sin.f64 x) (fma.f64 2 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12)) (*.f64 1/2 (*.f64 (*.f64 eps eps) (cos.f64 x))))) |
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)) (fma.f64 eps (sin.f64 x) (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/6)))) |
(fma.f64 eps (sin.f64 x) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) -1/6) eps)))) |
(+.f64 (*.f64 -1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.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 eps (sin.f64 x) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 2 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12)))))) |
(fma.f64 -1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 eps (sin.f64 x) (fma.f64 2 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12)) (*.f64 1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))))) |
(fma.f64 (cos.f64 x) (*.f64 -1/24 (pow.f64 eps 4)) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)) (fma.f64 eps (sin.f64 x) (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/6))))) |
(+.f64 (fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/6) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (+.f64 1/2 (*.f64 (*.f64 eps eps) -1/24)))) |
(*.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 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 2 (*.f64 (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 2 (*.f64 (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 2 (*.f64 (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 2 (*.f64 (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 2 (*.f64 (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 2 (*.f64 (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 2 (*.f64 (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 -1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 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))))) |
(fma.f64 -1 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (*.f64 x 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 (*.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 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (*.f64 x x))) |
(fma.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2))) (*.f64 x 2) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (+.f64 2 (*.f64 x (neg.f64 x))))) |
(fma.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (*.f64 x 2) (cos.f64 (*.f64 eps 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (-.f64 2 (*.f64 x x)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))) (*.f64 -1/3 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))) |
(fma.f64 -1 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (*.f64 x x)) (fma.f64 2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (fma.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 x (cos.f64 (*.f64 eps 1/2)))) (*.f64 -1/3 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (cos.f64 (*.f64 eps 1/2)) (pow.f64 x 3))))))) |
(-.f64 (fma.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 (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 x x))) |
(+.f64 (*.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 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (+.f64 2 (*.f64 x (neg.f64 x))))) |
(+.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (cos.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 x 2) (*.f64 -1/3 (pow.f64 x 3))))) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 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 2 (*.f64 (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 2 (*.f64 (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 2 (*.f64 (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 2 (*.f64 (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 2 (*.f64 (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 2 (*.f64 (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 2 (*.f64 (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 2 (*.f64 (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 14784 to 10672 computations (27.8% saved)
91 alts after pruning (82 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 613 | 28 | 641 |
| Fresh | 18 | 54 | 72 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 9 | 10 |
| Total | 633 | 91 | 724 |
| Status | Error | Program |
|---|---|---|
| 38.4b | (*.f64 (pow.f64 (cbrt.f64 -2) 3) (/.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2)) | |
| 21.7b | (*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) 2) -2) | |
| 16.5b | (*.f64 (/.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))) -2) | |
| 51.6b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (pow.f64 (pow.f64 (/.f64 1 eps) 3) 1/3)) 1/2))) -2) | |
| 46.6b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 (pow.f64 eps 3)) 1/2))) -2) | |
| ✓ | 48.2b | (*.f64 (*.f64 eps (*.f64 eps 1/4)) -2) |
| 0.4b | (*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)) (sin.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (sin.f64 (*.f64 1/2 eps)))) -2) | |
| 38.5b | (-.f64 (cos.f64 (+.f64 x eps)) 1) | |
| 37.4b | (fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (cos.f64 x))) | |
| 38.0b | (*.f64 (log1p.f64 (expm1.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2)))) -2) | |
| 29.2b | (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 1/2 eps)) -2) | |
| 45.3b | (-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x)) | |
| 54.1b | (/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2) 2) | |
| ✓ | 38.5b | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 27.8b | (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))) -2) | |
| 48.5b | (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2) (*.f64 -1/720 (pow.f64 eps 6))) | |
| 0.5b | (*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) (sin.f64 (*.f64 1/2 eps))) -2) | |
| 53.7b | (*.f64 (*.f64 (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))) -2) | |
| 38.2b | (*.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2) | |
| 38.1b | (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1)) | |
| 36.1b | (*.f64 (sin.f64 x) (neg.f64 eps)) | |
| 25.6b | (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) | |
| 54.6b | (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) | |
| 52.2b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (exp.f64 (neg.f64 (log.f64 eps)))) 1/2))) -2) | |
| 48.6b | (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) | |
| 29.6b | (*.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/12 (*.f64 eps eps)) 1/2)) (*.f64 (*.f64 eps (cos.f64 x)) 1/4))) -2) | |
| 31.7b | (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3) | |
| 25.5b | (fma.f64 1 (*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 38.1b | (*.f64 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2))))) -2) | |
| 25.6b | (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) | |
| 46.7b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (sqrt.f64 2))) -2) | |
| 23.1b | (*.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x)))) (sin.f64 (*.f64 1/2 eps))) -2) | |
| 36.3b | (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2) | |
| 38.8b | (-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x)) | |
| 54.1b | (expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2))) | |
| 54.9b | (*.f64 eps (sin.f64 x)) | |
| 35.5b | (*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2) | |
| 36.1b | (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) -2) | |
| 0.4b | (*.f64 (*.f64 (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x))) (sin.f64 (*.f64 1/2 eps))) -2) | |
| ✓ | 38.0b | (-.f64 (cos.f64 eps) 1) |
| 13.3b | (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)) -2) | |
| 29.4b | (*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x))) | |
| 46.7b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2) | |
| 13.3b | (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) 3) -2) | |
| ✓ | 12.5b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) |
| 54.7b | (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/2))) 1) | |
| 25.9b | (-.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) 1) (cos.f64 x)) | |
| 54.0b | (sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 4)) | |
| ✓ | 12.6b | (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
| 35.6b | (*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x))) | |
| ✓ | 38.1b | (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
| 15.8b | (*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 1/2 eps x)) 3)) (sin.f64 (*.f64 1/2 eps))) -2) | |
| 38.7b | (-.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (cos.f64 x) 2))) | |
| 31.4b | (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) | |
| 25.6b | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x))))) | |
| ✓ | 13.9b | (*.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)))) |
| ✓ | 48.2b | (*.f64 -1/2 (*.f64 eps eps)) |
| 40.8b | (*.f64 (*.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (fma.f64 x 2 eps))))) (sin.f64 (*.f64 1/2 eps))) -2) | |
| 35.0b | (*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) -2) | |
| 38.3b | (fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 1)) | |
| 54.1b | (*.f64 2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) | |
| 0.4b | (*.f64 (*.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))) -2) | |
| 38.0b | (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) | |
| 53.8b | (*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x))) | |
| 54.6b | (*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (*.f64 (*.f64 eps eps) (/.f64 1 eps)) 1/2)))) | |
| 47.8b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 eps 1/2)) -2) | |
| 38.0b | (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) | |
| 51.7b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2) | |
| 12.1b | (*.f64 (*.f64 (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2)))) (sin.f64 (*.f64 1/2 eps))) -2) | |
| 32.1b | (fma.f64 1 (*.f64 (exp.f64 (log.f64 (cos.f64 x))) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 39.1b | (-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) | |
| 38.0b | (-.f64 (cos.f64 eps) (cos.f64 x)) | |
| 13.2b | (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 1/2 eps x))) 3) (sin.f64 (*.f64 1/2 eps))) -2) | |
| 48.5b | (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps))))) 2) | |
| 33.3b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 1 eps)) 1/2))) -2) | |
| 54.2b | (log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2))) | |
| 43.5b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2) | |
| 28.7b | (*.f64 (*.f64 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))) -2) | |
| 54.1b | (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2)) 3) | |
| 37.9b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))))))) -2) | |
| 26.3b | (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))))) | |
| 12.5b | (*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (sin.f64 x)) (sin.f64 (*.f64 1/2 eps))) -2) | |
| 54.8b | (*.f64 (log.f64 1) -2) | |
| 0.4b | (*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))) (sin.f64 (*.f64 1/2 eps))) -2) | |
| 23.3b | (*.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))))) -2) | |
| 38.2b | (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3) | |
| 38.0b | (*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2) | |
| 25.6b | (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) | |
| 38.7b | (-.f64 (+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) -1) (cos.f64 x)) | |
| 43.6b | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 eps)) 3)) 1/2))) -2) | |
| ✓ | 32.1b | (*.f64 (pow.f64 (cbrt.f64 -2) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
Compiled 1481 to 1176 computations (20.6% saved)
| Inputs |
|---|
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 (*.f64 eps (*.f64 eps 1/4)) -2) |
(-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/2))) 1) |
(*.f64 eps (sin.f64 x)) |
(*.f64 (log.f64 1) -2) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2) |
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 1/2 eps)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 eps 1/2)) -2) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2) |
(-.f64 (cos.f64 x) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 x) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) |
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (*.f64 3 (*.f64 1/3 (cos.f64 x)))) |
(+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 -1 (cos.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x))) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(-.f64 (+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) -1) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x -1/2) 1)) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2) |
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2) 2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 1 eps)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) |
(*.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/12 (*.f64 eps eps)) 1/2)) (*.f64 (*.f64 eps (cos.f64 x)) 1/4))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2) |
(*.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))))) -2) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) |
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) |
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 4)) |
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2) |
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 1)) |
(*.f64 (log1p.f64 (expm1.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2)))) -2) |
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1)) |
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2))))) -2) |
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2) (*.f64 -1/720 (pow.f64 eps 6))) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (/.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 eps 1/2)))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 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 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) -2) |
(*.f64 (*.f64 (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)))) -2) |
(*.f64 (*.f64 (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))) -2) |
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (log.f64 (exp.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (cos.f64 x)))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2))) |
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (cos.f64 x))) |
(-.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) |
(*.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (cos.f64 x) 2))) |
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x)) |
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) |
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)) |
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2)) 3) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)) |
(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x))) |
(*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (fma.f64 x 2 eps))))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 (pow.f64 eps 3)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2) |
(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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (sqrt.f64 2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (exp.f64 (neg.f64 (log.f64 eps)))) 1/2))) -2) |
(*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (sin.f64 x)) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (*.f64 (cbrt.f64 eps) (/.f64 eps (cbrt.f64 eps))) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 1 eps) 3))) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 eps)) 3)) 1/2))) -2) |
(*.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 (*.f64 (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (pow.f64 (pow.f64 (/.f64 1 eps) 3) 1/3)) 1/2))) -2) |
(*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 eps))) 1)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))) -2) |
(*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (*.f64 (*.f64 eps eps) (/.f64 1 eps)) 1/2)))) |
(log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2))) |
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps))))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x)))) |
(*.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))))) -2) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) 2) -2) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) 3) -2) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 1/2 eps x)) 3)) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 1/2 eps x))) 3) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps))))) -2) |
(*.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps)))) 2) -2) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps)))) 3) -2) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) 3)) (sin.f64 (*.f64 1/2 eps))) -2) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps))))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps))))) 3) |
(*.f64 (*.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))) -2) |
(*.f64 (/.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))) -2) |
(*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))))) -2) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) |
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x)) |
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.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))))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 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))) |
(*.f64 (*.f64 (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))) (sin.f64 (*.f64 1/2 eps))) -2) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (log.f64 (exp.f64 (cos.f64 x)))) |
(-.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) 1) (cos.f64 x)) |
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x)) (sin.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x)) (sin.f64 (*.f64 1/2 eps)))) -2) |
(*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 x))))) (sin.f64 (*.f64 1/2 eps))) -2) |
(fma.f64 1 (*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
(fma.f64 1 (*.f64 (exp.f64 (log.f64 (cos.f64 x))) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
(fma.f64 1 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 3) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
(-.f64 (fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 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)) (neg.f64 (cos.f64 x))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))))))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))))) -2) |
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 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)))))) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
(-.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)) |
(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))))) |
(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))))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x))) (sin.f64 (*.f64 1/2 eps))) -2) |
4 calls:
| 159.0ms | eps |
| 152.0ms | x |
| 96.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 91.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 1 | x |
| 0.4b | 1 | eps |
| 0.4b | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 0.4b | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 2523 to 1467 computations (41.9% saved)
| Inputs |
|---|
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 (*.f64 eps (*.f64 eps 1/4)) -2) |
(-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/2))) 1) |
(*.f64 eps (sin.f64 x)) |
(*.f64 (log.f64 1) -2) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2) |
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 1/2 eps)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 eps 1/2)) -2) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2) |
(-.f64 (cos.f64 x) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 x) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) |
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (*.f64 3 (*.f64 1/3 (cos.f64 x)))) |
(+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 -1 (cos.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x))) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(-.f64 (+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) -1) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x -1/2) 1)) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2) |
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2) 2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 1 eps)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) |
(*.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/12 (*.f64 eps eps)) 1/2)) (*.f64 (*.f64 eps (cos.f64 x)) 1/4))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2) |
(*.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))))) -2) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) |
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) |
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 4)) |
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2) |
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 1)) |
(*.f64 (log1p.f64 (expm1.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2)))) -2) |
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1)) |
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2))))) -2) |
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2) (*.f64 -1/720 (pow.f64 eps 6))) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (/.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 eps 1/2)))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 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 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) -2) |
(*.f64 (*.f64 (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)))) -2) |
(*.f64 (*.f64 (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))) -2) |
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (log.f64 (exp.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (cos.f64 x)))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2))) |
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (cos.f64 x))) |
(-.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) |
(*.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (cos.f64 x) 2))) |
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x)) |
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) |
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)) |
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2)) 3) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)) |
(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x))) |
(*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (fma.f64 x 2 eps))))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 (pow.f64 eps 3)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2) |
(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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (sqrt.f64 2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (exp.f64 (neg.f64 (log.f64 eps)))) 1/2))) -2) |
(*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (sin.f64 x)) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (*.f64 (cbrt.f64 eps) (/.f64 eps (cbrt.f64 eps))) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 1 eps) 3))) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 eps)) 3)) 1/2))) -2) |
(*.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 (*.f64 (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (pow.f64 (pow.f64 (/.f64 1 eps) 3) 1/3)) 1/2))) -2) |
(*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 eps))) 1)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))) -2) |
(*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (*.f64 (*.f64 eps eps) (/.f64 1 eps)) 1/2)))) |
(log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2))) |
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps))))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x)))) |
(*.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))))) -2) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) 2) -2) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) 3) -2) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 1/2 eps x)) 3)) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 1/2 eps x))) 3) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps))))) -2) |
(*.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps)))) 2) -2) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps)))) 3) -2) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) 3)) (sin.f64 (*.f64 1/2 eps))) -2) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps))))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps))))) 3) |
(*.f64 (*.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))) -2) |
(*.f64 (/.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))) -2) |
(*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))))) -2) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) |
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x)) |
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.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))))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 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))) |
| Outputs |
|---|
(*.f64 (*.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))) -2) |
4 calls:
| 141.0ms | x |
| 134.0ms | eps |
| 76.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 76.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 1 | x |
| 0.4b | 1 | eps |
| 0.4b | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 0.4b | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 2068 to 1308 computations (36.8% saved)
| Inputs |
|---|
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 (*.f64 eps (*.f64 eps 1/4)) -2) |
(-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/2))) 1) |
(*.f64 eps (sin.f64 x)) |
(*.f64 (log.f64 1) -2) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2) |
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 1/2 eps)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 eps 1/2)) -2) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2) |
(-.f64 (cos.f64 x) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 x) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) |
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (*.f64 3 (*.f64 1/3 (cos.f64 x)))) |
(+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 -1 (cos.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x))) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(-.f64 (+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) -1) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x -1/2) 1)) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2) |
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2) 2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 1 eps)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) |
(*.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/12 (*.f64 eps eps)) 1/2)) (*.f64 (*.f64 eps (cos.f64 x)) 1/4))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2) |
(*.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))))) -2) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) |
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) |
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 4)) |
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2) |
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 1)) |
(*.f64 (log1p.f64 (expm1.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2)))) -2) |
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1)) |
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2))))) -2) |
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2) (*.f64 -1/720 (pow.f64 eps 6))) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (/.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 eps 1/2)))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 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 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) -2) |
(*.f64 (*.f64 (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)))) -2) |
(*.f64 (*.f64 (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))) -2) |
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (log.f64 (exp.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (cos.f64 x)))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2))) |
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (cos.f64 x))) |
(-.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) |
(*.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (cos.f64 x) 2))) |
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x)) |
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) |
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)) |
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2)) 3) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)) |
(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x))) |
(*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (fma.f64 x 2 eps))))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 (pow.f64 eps 3)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2) |
(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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (sqrt.f64 2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (exp.f64 (neg.f64 (log.f64 eps)))) 1/2))) -2) |
(*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (sin.f64 x)) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (*.f64 (cbrt.f64 eps) (/.f64 eps (cbrt.f64 eps))) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 1 eps) 3))) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 eps)) 3)) 1/2))) -2) |
(*.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 (*.f64 (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (pow.f64 (pow.f64 (/.f64 1 eps) 3) 1/3)) 1/2))) -2) |
(*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 eps))) 1)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))) -2) |
(*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (*.f64 (*.f64 eps eps) (/.f64 1 eps)) 1/2)))) |
(log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2))) |
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps))))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x)))) |
(*.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))))) -2) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) 2) -2) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) 3) -2) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 1/2 eps x)) 3)) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 1/2 eps x))) 3) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps))))) -2) |
(*.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps)))) 2) -2) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (sin.f64 (*.f64 1/2 eps)))) 3) -2) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) 3)) (sin.f64 (*.f64 1/2 eps))) -2) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps))))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps))))) 3) |
| Outputs |
|---|
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (sin.f64 x)) (sin.f64 (*.f64 1/2 eps))) -2) |
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) |
4 calls:
| 321.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 261.0ms | eps |
| 233.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 89.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 12.1b | 1 | x |
| 0.4b | 3 | eps |
| 7.3b | 3 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 7.3b | 3 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 1866 to 1212 computations (35% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 62461.521544933064 | 177630.46867678038 |
| 53.0ms | -1.6957635392352122 | -7.795399784689043e-8 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 (*.f64 eps (*.f64 eps 1/4)) -2) |
(-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/2))) 1) |
(*.f64 eps (sin.f64 x)) |
(*.f64 (log.f64 1) -2) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2) |
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 1/2 eps)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 eps 1/2)) -2) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2) |
(-.f64 (cos.f64 x) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 x) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) |
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (*.f64 3 (*.f64 1/3 (cos.f64 x)))) |
(+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 -1 (cos.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x))) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(-.f64 (+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) -1) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x -1/2) 1)) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2) |
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2) 2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 1 eps)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) |
(*.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/12 (*.f64 eps eps)) 1/2)) (*.f64 (*.f64 eps (cos.f64 x)) 1/4))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2) |
(*.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))))) -2) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) |
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) |
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 4)) |
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2) |
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 1)) |
(*.f64 (log1p.f64 (expm1.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2)))) -2) |
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1)) |
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2))))) -2) |
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2) (*.f64 -1/720 (pow.f64 eps 6))) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (/.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 eps 1/2)))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 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 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) -2) |
(*.f64 (*.f64 (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)))) -2) |
(*.f64 (*.f64 (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))) -2) |
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (log.f64 (exp.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (cos.f64 x)))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2))) |
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (cos.f64 x))) |
(-.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) |
(*.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (cos.f64 x) 2))) |
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x)) |
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) |
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)) |
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2)) 3) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)) |
(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x))) |
(*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (fma.f64 x 2 eps))))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 (pow.f64 eps 3)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2) |
(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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (sqrt.f64 2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (exp.f64 (neg.f64 (log.f64 eps)))) 1/2))) -2) |
(*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (sin.f64 x)) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (*.f64 (cbrt.f64 eps) (/.f64 eps (cbrt.f64 eps))) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 1 eps) 3))) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 eps)) 3)) 1/2))) -2) |
(*.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 (*.f64 (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (pow.f64 (pow.f64 (/.f64 1 eps) 3) 1/3)) 1/2))) -2) |
(*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 eps))) 1)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))) -2) |
(*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (*.f64 (*.f64 eps eps) (/.f64 1 eps)) 1/2)))) |
(log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2))) |
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps))))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x)))) |
(*.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))))) -2) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
| Outputs |
|---|
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (sin.f64 x)) (sin.f64 (*.f64 1/2 eps))) -2) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
4 calls:
| 381.0ms | eps |
| 344.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 152.0ms | x |
| 119.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 12.1b | 1 | x |
| 0.4b | 3 | eps |
| 7.3b | 3 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 7.3b | 3 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 1675 to 1066 computations (36.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 62461.521544933064 | 177630.46867678038 |
| 90.0ms | -1.6957635392352122 | -7.795399784689043e-8 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 (*.f64 eps (*.f64 eps 1/4)) -2) |
(-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/2))) 1) |
(*.f64 eps (sin.f64 x)) |
(*.f64 (log.f64 1) -2) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2) |
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 1/2 eps)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 eps 1/2)) -2) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2) |
(-.f64 (cos.f64 x) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 x) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) |
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (*.f64 3 (*.f64 1/3 (cos.f64 x)))) |
(+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 -1 (cos.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x))) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(-.f64 (+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) -1) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x -1/2) 1)) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2) |
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2) 2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 1 eps)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) |
(*.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/12 (*.f64 eps eps)) 1/2)) (*.f64 (*.f64 eps (cos.f64 x)) 1/4))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2) |
(*.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))))) -2) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) |
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) |
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 4)) |
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2) |
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 1)) |
(*.f64 (log1p.f64 (expm1.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2)))) -2) |
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1)) |
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2))))) -2) |
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2) (*.f64 -1/720 (pow.f64 eps 6))) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (/.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 eps 1/2)))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 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 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) -2) |
(*.f64 (*.f64 (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)))) -2) |
(*.f64 (*.f64 (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))) -2) |
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (log.f64 (exp.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (cos.f64 x)))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2))) |
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (cos.f64 x))) |
(-.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) |
(*.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (cos.f64 x) 2))) |
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x)) |
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) |
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)) |
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2)) 3) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)) |
(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x))) |
(*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (fma.f64 x 2 eps))))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 (pow.f64 eps 3)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2) |
(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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (sqrt.f64 2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (exp.f64 (neg.f64 (log.f64 eps)))) 1/2))) -2) |
(*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (sin.f64 x)) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (*.f64 (cbrt.f64 eps) (/.f64 eps (cbrt.f64 eps))) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 1 eps) 3))) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 eps)) 3)) 1/2))) -2) |
(*.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 (*.f64 (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (pow.f64 (pow.f64 (/.f64 1 eps) 3) 1/3)) 1/2))) -2) |
(*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 eps))) 1)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))) -2) |
(*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (*.f64 (*.f64 eps eps) (/.f64 1 eps)) 1/2)))) |
(log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2))) |
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps))))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x)))) |
(*.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 (fma.f64 1/2 eps x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))))) -2) |
| Outputs |
|---|
(*.f64 (*.f64 (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2)))) (sin.f64 (*.f64 1/2 eps))) -2) |
4 calls:
| 101.0ms | eps |
| 80.0ms | x |
| 41.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 41.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 12.1b | 1 | x |
| 12.1b | 1 | eps |
| 12.1b | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 12.1b | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 1661 to 1063 computations (36% saved)
| Inputs |
|---|
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 (*.f64 eps (*.f64 eps 1/4)) -2) |
(-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/2))) 1) |
(*.f64 eps (sin.f64 x)) |
(*.f64 (log.f64 1) -2) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2) |
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 1/2 eps)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 eps 1/2)) -2) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2) |
(-.f64 (cos.f64 x) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 x) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) |
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (*.f64 3 (*.f64 1/3 (cos.f64 x)))) |
(+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 -1 (cos.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x))) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(-.f64 (+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) -1) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x -1/2) 1)) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2) |
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2) 2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 1 eps)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) |
(*.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/12 (*.f64 eps eps)) 1/2)) (*.f64 (*.f64 eps (cos.f64 x)) 1/4))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2) |
(*.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))))) -2) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) |
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) |
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 4)) |
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2) |
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 1)) |
(*.f64 (log1p.f64 (expm1.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2)))) -2) |
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1)) |
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2))))) -2) |
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2) (*.f64 -1/720 (pow.f64 eps 6))) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (/.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 eps 1/2)))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 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 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) -2) |
(*.f64 (*.f64 (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)))) -2) |
(*.f64 (*.f64 (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))) -2) |
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (log.f64 (exp.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (cos.f64 x)))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2))) |
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (cos.f64 x))) |
(-.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) |
(*.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (cos.f64 x) 2))) |
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x)) |
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) |
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)) |
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2)) 3) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)) |
(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x))) |
(*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (fma.f64 x 2 eps))))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 (pow.f64 eps 3)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2) |
(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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (sqrt.f64 2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (exp.f64 (neg.f64 (log.f64 eps)))) 1/2))) -2) |
(*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (sin.f64 x)) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (*.f64 (cbrt.f64 eps) (/.f64 eps (cbrt.f64 eps))) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 1 eps) 3))) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 eps)) 3)) 1/2))) -2) |
(*.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)))) |
| Outputs |
|---|
(*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (sin.f64 x)) (sin.f64 (*.f64 1/2 eps))) -2) |
4 calls:
| 115.0ms | eps |
| 84.0ms | x |
| 54.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 40.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 12.5b | 1 | x |
| 12.5b | 1 | eps |
| 12.5b | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 12.5b | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 1461 to 929 computations (36.4% saved)
| Inputs |
|---|
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 (*.f64 eps (*.f64 eps 1/4)) -2) |
(-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/2))) 1) |
(*.f64 eps (sin.f64 x)) |
(*.f64 (log.f64 1) -2) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2) |
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 1/2 eps)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 eps 1/2)) -2) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2) |
(-.f64 (cos.f64 x) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 x) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) |
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (*.f64 3 (*.f64 1/3 (cos.f64 x)))) |
(+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 -1 (cos.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x))) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(-.f64 (+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) -1) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x -1/2) 1)) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2) |
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2) 2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 1 eps)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) |
(*.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/12 (*.f64 eps eps)) 1/2)) (*.f64 (*.f64 eps (cos.f64 x)) 1/4))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2) |
(*.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))))) -2) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) |
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) |
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) |
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 4)) |
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2) |
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 1)) |
(*.f64 (log1p.f64 (expm1.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2)))) -2) |
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1)) |
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2))))) -2) |
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2) (*.f64 -1/720 (pow.f64 eps 6))) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (/.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 eps 1/2)))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 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 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) -2) |
(*.f64 (*.f64 (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)))) -2) |
(*.f64 (*.f64 (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))) -2) |
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (log.f64 (exp.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (cos.f64 x)))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2))) |
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (cos.f64 x))) |
(-.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) |
(*.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (cos.f64 x) 2))) |
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x)) |
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) |
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)) |
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2)) 3) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)) |
(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x))) |
(*.f64 (pow.f64 (pow.f64 4 1/6) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (fma.f64 x 2 eps))))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 (pow.f64 eps 3)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2) |
(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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (sqrt.f64 2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (exp.f64 (neg.f64 (log.f64 eps)))) 1/2))) -2) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) |
4 calls:
| 96.0ms | x |
| 65.0ms | eps |
| 38.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 33.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 12.5b | 1 | x |
| 12.5b | 1 | eps |
| 12.5b | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 12.5b | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 1353 to 859 computations (36.5% saved)
| Inputs |
|---|
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 (*.f64 eps (*.f64 eps 1/4)) -2) |
(-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/2))) 1) |
(*.f64 eps (sin.f64 x)) |
(*.f64 (log.f64 1) -2) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2) |
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 1/2 eps)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 eps 1/2)) -2) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2) |
(-.f64 (cos.f64 x) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 x) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) |
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (*.f64 3 (*.f64 1/3 (cos.f64 x)))) |
(+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 -1 (cos.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x))) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(-.f64 (+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) -1) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x -1/2) 1)) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2) |
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2) 2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 1 eps)) 1/2))) -2) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
4 calls:
| 62.0ms | eps |
| 25.0ms | x |
| 14.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 12.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 12.6b | 1 | x |
| 12.6b | 1 | eps |
| 12.6b | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 12.6b | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 397 to 241 computations (39.3% saved)
| Inputs |
|---|
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 (*.f64 eps (*.f64 eps 1/4)) -2) |
(-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/2))) 1) |
(*.f64 eps (sin.f64 x)) |
(*.f64 (log.f64 1) -2) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2) |
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 1/2 eps)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 eps 1/2)) -2) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2) |
(-.f64 (cos.f64 x) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 x) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) |
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (*.f64 3 (*.f64 1/3 (cos.f64 x)))) |
(+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 -1 (cos.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x))) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(-.f64 (+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) -1) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x -1/2) 1)) |
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1) |
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2) |
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) |
| Outputs |
|---|
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x))) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
4 calls:
| 152.0ms | x |
| 66.0ms | eps |
| 65.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 28.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 15.0b | 5 | x |
| 12.4b | 3 | eps |
| 13.4b | 2 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 13.4b | 2 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 346 to 204 computations (41% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 8.548859651221712e-7 | 0.0015213690037734044 |
| 95.0ms | -1.6957635392352122 | -7.795399784689043e-8 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 (*.f64 eps (*.f64 eps 1/4)) -2) |
(-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/2))) 1) |
(*.f64 eps (sin.f64 x)) |
(*.f64 (log.f64 1) -2) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2) |
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 1/2 eps)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 eps 1/2)) -2) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2) |
(-.f64 (cos.f64 x) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(-.f64 (cos.f64 x) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) |
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) -2) |
(-.f64 (cos.f64 (+.f64 x eps)) (*.f64 3 (*.f64 1/3 (cos.f64 x)))) |
(+.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 -1 (cos.f64 x))) |
| Outputs |
|---|
(-.f64 (cos.f64 eps) (cos.f64 x)) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 1/2 eps)) -2) |
(-.f64 (cos.f64 eps) (cos.f64 x)) |
4 calls:
| 158.0ms | x |
| 91.0ms | eps |
| 53.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 21.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 16.0b | 3 | x |
| 12.5b | 3 | eps |
| 13.5b | 2 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 13.5b | 2 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 240 to 143 computations (40.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 140.0ms | 8.548859651221712e-7 | 0.0015213690037734044 |
| 136.0ms | -1.6957635392352122 | -7.795399784689043e-8 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 (*.f64 eps (*.f64 eps 1/4)) -2) |
(-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/2))) 1) |
(*.f64 eps (sin.f64 x)) |
(*.f64 (log.f64 1) -2) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2) |
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 1/2 eps)) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 eps 1/2)) -2) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2) |
(-.f64 (cos.f64 x) (cos.f64 x)) |
| Outputs |
|---|
(-.f64 (cos.f64 eps) 1) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 1/2 eps)) -2) |
(-.f64 (cos.f64 eps) 1) |
2 calls:
| 108.0ms | x |
| 58.0ms | eps |
| Error | Segments | Branch |
|---|---|---|
| 21.8b | 5 | x |
| 12.9b | 3 | eps |
Compiled 145 to 92 computations (36.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 98.0ms | 8.548859651221712e-7 | 0.0015213690037734044 |
| 125.0ms | -1.6957635392352122 | -7.795399784689043e-8 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 (*.f64 eps (*.f64 eps 1/4)) -2) |
(-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/2))) 1) |
(*.f64 eps (sin.f64 x)) |
(*.f64 (log.f64 1) -2) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2) |
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) |
| Outputs |
|---|
(-.f64 (cos.f64 eps) 1) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) |
(-.f64 (cos.f64 eps) 1) |
2 calls:
| 99.0ms | eps |
| 66.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 23.6b | 3 | x |
| 18.1b | 4 | eps |
Compiled 98 to 57 computations (41.8% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 116.0ms | 0.0015213690037734044 | 4.179670184499549 |
| 156.0ms | 2.853947697536695e-46 | 3.1320759361750824e-40 |
| 103.0ms | -1.6957635392352122 | -7.795399784689043e-8 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 (*.f64 eps (*.f64 eps 1/4)) -2) |
(-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/2))) 1) |
(*.f64 eps (sin.f64 x)) |
(*.f64 (log.f64 1) -2) |
(-.f64 (cos.f64 eps) 1) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
(-.f64 (cos.f64 (+.f64 x eps)) 1) |
| Outputs |
|---|
(-.f64 (cos.f64 eps) 1) |
(*.f64 (sin.f64 x) (neg.f64 eps)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(-.f64 (cos.f64 eps) 1) |
2 calls:
| 82.0ms | x |
| 62.0ms | eps |
| Error | Segments | Branch |
|---|---|---|
| 23.6b | 3 | x |
| 18.2b | 4 | eps |
Compiled 68 to 38 computations (44.1% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 223.0ms | 8.548859651221712e-7 | 0.0015213690037734044 |
| 152.0ms | 2.853947697536695e-46 | 3.1320759361750824e-40 |
| 98.0ms | -1.6957635392352122 | -7.795399784689043e-8 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 (*.f64 eps (*.f64 eps 1/4)) -2) |
(-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/2))) 1) |
(*.f64 eps (sin.f64 x)) |
(*.f64 (log.f64 1) -2) |
(-.f64 (cos.f64 eps) 1) |
| Outputs |
|---|
(-.f64 (cos.f64 eps) 1) |
(*.f64 -1/2 (*.f64 eps eps)) |
(-.f64 (cos.f64 eps) 1) |
2 calls:
| 23.0ms | eps |
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 38.0b | 1 | x |
| 31.5b | 3 | eps |
Compiled 41 to 30 computations (26.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 109.0ms | 8.548859651221712e-7 | 0.0015213690037734044 |
| 86.0ms | -1.6957635392352122 | -7.795399784689043e-8 |
Compiled 14 to 10 computations (28.6% saved)
Total -7.4b remaining (-15.4%)
Threshold costs -7.4b (-15.4%)
| Inputs |
|---|
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 (*.f64 eps (*.f64 eps 1/4)) -2) |
(-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/2))) 1) |
(*.f64 eps (sin.f64 x)) |
(*.f64 (log.f64 1) -2) |
| Outputs |
|---|
(*.f64 -1/2 (*.f64 eps eps)) |
2 calls:
| 10.0ms | eps |
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 48.2b | 1 | x |
| 48.2b | 1 | eps |
Compiled 37 to 27 computations (27% saved)
| 1× | egg-herbie |
| 46× | *-commutative_binary64 |
| 25× | +-commutative_binary64 |
| 18× | sub-neg_binary64 |
| 11× | neg-sub0_binary64 |
| 11× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 645 |
| 1 | 170 | 645 |
| 2 | 207 | 645 |
| 3 | 231 | 645 |
| 4 | 247 | 645 |
| 5 | 250 | 645 |
| 6 | 251 | 645 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.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))) -2) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (if (<=.f64 eps 8584646153404381/137438953472) (*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (sin.f64 x)) (sin.f64 (*.f64 1/2 eps))) -2) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (if (<=.f64 eps 8584646153404381/137438953472) (*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (sin.f64 x)) (sin.f64 (*.f64 1/2 eps))) -2) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))) |
(*.f64 (*.f64 (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (sin.f64 x)) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 2018542414184305/2361183241434822606848) (*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x)))) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 2018542414184305/2361183241434822606848) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 1/2 eps)) -2) (-.f64 (cos.f64 eps) (cos.f64 x)))) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 2018542414184305/2361183241434822606848) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 1/2 eps)) -2) (-.f64 (cos.f64 eps) 1))) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 917223426299413/3213876088517980551083924184682325205044405987565585670602752) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 7016076163570613/4611686018427387904) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) (-.f64 (cos.f64 eps) 1)))) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 917223426299413/3213876088517980551083924184682325205044405987565585670602752) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 2018542414184305/2361183241434822606848) (*.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1)))) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 2018542414184305/2361183241434822606848) (*.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1))) |
(*.f64 -1/2 (*.f64 eps eps)) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 x))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 (*.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)))) -2) |
(*.f64 (*.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))) -2) |
(*.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 -7637040043408175/4503599627370496) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (if (<=.f64 eps 8584646153404381/137438953472) (*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (sin.f64 x)) (sin.f64 (*.f64 1/2 eps))) -2) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (if (<=.f64 eps 8584646153404381/137438953472) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (*.f64 x 2))))))) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (if (<=.f64 eps 8584646153404381/137438953472) (*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (sin.f64 x)) (sin.f64 (*.f64 1/2 eps))) -2) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (if (<=.f64 eps 8584646153404381/137438953472) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (*.f64 x 2))))))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))) |
(*.f64 (*.f64 (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 (*.f64 x 2) 1/2)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.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 (*.f64 1/2 (*.f64 x 2))))))) |
(*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 x 2) 1/2))) (sin.f64 x)) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (*.f64 x 2))))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 x eps)))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 2018542414184305/2361183241434822606848) (*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x)))) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 2018542414184305/2361183241434822606848) (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x)))) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 2018542414184305/2361183241434822606848) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 1/2 eps)) -2) (-.f64 (cos.f64 eps) (cos.f64 x)))) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 2018542414184305/2361183241434822606848) (*.f64 -2 (*.f64 (*.f64 1/2 eps) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))) (-.f64 (cos.f64 eps) (cos.f64 x)))) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 2018542414184305/2361183241434822606848) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 1/2 eps)) -2) (-.f64 (cos.f64 eps) 1))) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 2018542414184305/2361183241434822606848) (*.f64 -2 (*.f64 (*.f64 1/2 eps) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))) (+.f64 (cos.f64 eps) -1))) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 917223426299413/3213876088517980551083924184682325205044405987565585670602752) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 7016076163570613/4611686018427387904) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) (-.f64 (cos.f64 eps) 1)))) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 917223426299413/3213876088517980551083924184682325205044405987565585670602752) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 7016076163570613/4611686018427387904) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2)) (+.f64 (cos.f64 eps) -1)))) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 917223426299413/3213876088517980551083924184682325205044405987565585670602752) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 2018542414184305/2361183241434822606848) (*.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1)))) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 917223426299413/3213876088517980551083924184682325205044405987565585670602752) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 2018542414184305/2361183241434822606848) (*.f64 -1/2 (*.f64 eps eps)) (+.f64 (cos.f64 eps) -1)))) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 2018542414184305/2361183241434822606848) (*.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1))) |
(if (<=.f64 eps -7637040043408175/4503599627370496) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 2018542414184305/2361183241434822606848) (*.f64 -1/2 (*.f64 eps eps)) (+.f64 (cos.f64 eps) -1))) |
(*.f64 -1/2 (*.f64 eps eps)) |
Compiled 447 to 303 computations (32.2% saved)
Compiled 419 to 245 computations (41.5% saved)
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