Time bar (total: 11.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 5 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 6 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 7 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 8 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 9 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 10 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 11 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 12 |
Compiled 10 to 7 computations (30% saved)
| 1.4s | 2061× | body | 2048 | valid |
| 429.0ms | 3412× | body | 256 | valid |
| 418.0ms | 1139× | body | 1024 | valid |
| 344.0ms | 1542× | body | 512 | valid |
| 62.0ms | 102× | body | 4096 | valid |
| 2× | egg-herbie |
| 416× | fma-def |
| 224× | associate-*r* |
| 212× | associate-+l- |
| 204× | associate-/r* |
| 182× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 18 | 23 |
| 2 | 29 | 23 |
| 3 | 43 | 23 |
| 4 | 77 | 23 |
| 5 | 130 | 23 |
| 6 | 197 | 23 |
| 7 | 347 | 23 |
| 8 | 698 | 23 |
| 9 | 1261 | 23 |
| 10 | 1950 | 23 |
| 11 | 2090 | 23 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
| 416× | fma-def |
| 224× | associate-*r* |
| 212× | associate-+l- |
| 204× | associate-/r* |
| 182× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 18 | 23 |
| 2 | 29 | 23 |
| 3 | 43 | 23 |
| 4 | 77 | 23 |
| 5 | 130 | 23 |
| 6 | 197 | 23 |
| 7 | 347 | 23 |
| 8 | 698 | 23 |
| 9 | 1261 | 23 |
| 10 | 1950 | 23 |
| 11 | 2090 | 23 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 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 |
|---|---|---|
| ▶ | 48.43% | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 9 to 6 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.41% | (-.f64 1 (cos.f64 x)) |
| ✓ | 22.55% | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 20 to 9 computations (55% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (-.f64 1 (cos.f64 x)) |
| 0.0ms | x | @ | inf | (-.f64 1 (cos.f64 x)) |
| 1× | batch-egg-rewrite |
| 1514× | associate-*r/ |
| 1354× | associate-/r* |
| 1182× | associate-/l* |
| 1142× | associate-*l/ |
| 872× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 34 |
| 1 | 190 | 34 |
| 2 | 2636 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(-.f64 1 (cos.f64 x)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) 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(cos.f64 x)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 552× | div-sub |
| 432× | associate-/l* |
| 432× | associate-+r+ |
| 390× | associate-+l+ |
| 370× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 321 | 5119 |
| 1 | 890 | 4897 |
| 2 | 3946 | 4843 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) |
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (pow.f64 x -2)) |
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x)))) |
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(+.f64 1 (neg.f64 (cos.f64 x))) |
(+.f64 (neg.f64 (cos.f64 x)) 1) |
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(*.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) 1) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 1 (cos.f64 x))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 1 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 (*.f64 1/2 x) x) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
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(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(-.f64 1 (cos.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(-.f64 1 (cos.f64 x)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(-.f64 1 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(-.f64 1 (cos.f64 x)) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
Compiled 4007 to 2144 computations (46.5% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 184 | 14 | 198 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 184 | 15 | 199 |
| Status | Error | Program |
|---|---|---|
| 48.11% | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) | |
| ▶ | 48.46% | (/.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) (*.f64 x x)) |
| 48.6% | (/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (+.f64 1 (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 x x)) | |
| 23.42% | (/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x)) | |
| ✓ | 48.43% | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 23.88% | (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) | |
| ▶ | 48.54% | (/.f64 (*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 x x)) |
| 24.73% | (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2))) | |
| ▶ | 23.18% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 47.79% | (-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) | |
| ▶ | 51.01% | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| ▶ | 47.69% | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| 46.97% | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) | |
| 48.53% | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) | |
| 49.56% | 1/2 |
Compiled 413 to 284 computations (31.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.24% | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| ✓ | 22.49% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
Compiled 33 to 18 computations (45.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| 0.0ms | x | @ | inf | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| 1× | batch-egg-rewrite |
| 960× | unswap-sqr |
| 834× | swap-sqr |
| 410× | sqr-pow |
| 408× | pow-sqr |
| 382× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 54 |
| 1 | 239 | 54 |
| 2 | 3327 | 54 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| Outputs |
|---|
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(sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) 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(sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))))) (#(struct:change #<rule 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x 1/2)) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))))) |
| 1× | egg-herbie |
| 1428× | associate-/r* |
| 1248× | associate-/l/ |
| 824× | distribute-rgt-in |
| 818× | distribute-lft-in |
| 728× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 284 | 5218 |
| 1 | 760 | 4964 |
| 2 | 3094 | 4964 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) |
(*.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 x -2))) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (/.f64 1 (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 4)) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))) (sin.f64 x)) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) x) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (pow.f64 (cbrt.f64 x) 4)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) 1)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 x x)) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6)) |
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2)) |
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) 1)) |
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 x (neg.f64 x))))) |
(neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x x))) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) |
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x))))) |
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(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
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(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)) |
(fabs.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))) |
(fabs.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 3) (pow.f64 x 6))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3)) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1)) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.57% | (*.f64 -1/24 (*.f64 x x)) |
Compiled 19 to 10 computations (47.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 -1/24 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 -1/24 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 -1/24 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1080× | add-sqr-sqrt |
| 1058× | *-un-lft-identity |
| 1006× | pow1 |
| 990× | add-cube-cbrt |
| 982× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 122 | 13 |
| 2 | 1411 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/24 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/576 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1470× | distribute-rgt-in |
| 1446× | distribute-lft-in |
| 1164× | log-prod |
| 760× | associate-*r* |
| 696× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 299 |
| 1 | 93 | 299 |
| 2 | 348 | 299 |
| 3 | 1913 | 299 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2) |
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3) |
(sqrt.f64 (*.f64 1/576 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(sqrt.f64 (*.f64 1/576 (pow.f64 x 4))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 3.41% | (-.f64 1 (cos.f64 x)) | |
| ✓ | 23.26% | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
Compiled 21 to 13 computations (38.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | inf | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1984× | add-sqr-sqrt |
| 1956× | *-un-lft-identity |
| 1826× | add-cube-cbrt |
| 1806× | add-cbrt-cube |
| 196× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 207 | 23 |
| 2 | 2475 | 23 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))))))) |
| 1× | egg-herbie |
| 1018× | associate-*r/ |
| 886× | associate-*r* |
| 822× | associate-*l/ |
| 790× | associate-*l* |
| 682× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 847 |
| 1 | 192 | 843 |
| 2 | 604 | 825 |
| 3 | 3379 | 825 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) 1/2)) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 -1/24 (*.f64 x x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (pow.f64 x -2) (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))) (sin.f64 x)) |
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x) 1))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (pow.f64 x -2) (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))) (sin.f64 x)) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x) 1))) |
(pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.58% | (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
| ✓ | 0.61% | (pow.f64 (-.f64 1 (cos.f64 x)) 3) |
| 3.41% | (-.f64 1 (cos.f64 x)) | |
| ✓ | 22.55% | (/.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) (*.f64 x x)) |
Compiled 40 to 25 computations (37.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) (*.f64 x x)) |
| 1.0ms | x | @ | 0 | (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
| 1.0ms | x | @ | inf | (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
| 1.0ms | x | @ | -inf | (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
| 0.0ms | x | @ | -inf | (pow.f64 (-.f64 1 (cos.f64 x)) 3) |
| 1× | batch-egg-rewrite |
| 1602× | associate-*r/ |
| 1254× | associate-/r* |
| 1186× | associate-*l/ |
| 1146× | associate-/l* |
| 1006× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 51 |
| 1 | 287 | 51 |
| 2 | 3353 | 51 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) (*.f64 x x)) |
(pow.f64 (-.f64 1 (cos.f64 x)) 3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 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pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (cos.f64 x)) (+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 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| 1× | egg-herbie |
| 1318× | associate-+l+ |
| 1040× | associate-/l* |
| 668× | associate-*l* |
| 648× | associate-*r* |
| 624× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 495 | 10735 |
| 1 | 1295 | 9131 |
| 2 | 6292 | 9131 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(*.f64 1/8 (pow.f64 x 6)) |
(+.f64 (*.f64 -1/32 (pow.f64 x 8)) (*.f64 1/8 (pow.f64 x 6))) |
(+.f64 (*.f64 7/1920 (pow.f64 x 10)) (+.f64 (*.f64 -1/32 (pow.f64 x 8)) (*.f64 1/8 (pow.f64 x 6)))) |
(+.f64 (*.f64 7/1920 (pow.f64 x 10)) (+.f64 (*.f64 -1/32 (pow.f64 x 8)) (+.f64 (*.f64 -1/3780 (pow.f64 x 12)) (*.f64 1/8 (pow.f64 x 6))))) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4)))) |
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(/.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 3) 1) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 3) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
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(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (cos.f64 x))) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (cos.f64 x))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (cos.f64 x))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
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(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 6)) |
(log.f64 (exp.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)))) |
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) |
(exp.f64 (*.f64 3 (log1p.f64 (neg.f64 (cos.f64 x))))) |
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) |
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(+.f64 (neg.f64 (cos.f64 x)) 1) |
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(-.f64 1 (cos.f64 x)) |
(-.f64 0 (-.f64 (cos.f64 x) 1)) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (cos.f64 x)))) 1) |
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(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 1 (cos.f64 x))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2) 1/3) (/.f64 1 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2) 1/3))) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 1 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (pow.f64 1 1/3) 1) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (pow.f64 1 1/3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (*.f64 (pow.f64 1 1/3) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (pow.f64 1 1/3) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (pow.f64 1 1/3) (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 (*.f64 -1/24 x) x))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1/8 (pow.f64 x 6)) |
(*.f64 (pow.f64 x 6) 1/8) |
(+.f64 (*.f64 -1/32 (pow.f64 x 8)) (*.f64 1/8 (pow.f64 x 6))) |
(fma.f64 -1/32 (pow.f64 x 8) (*.f64 (pow.f64 x 6) 1/8)) |
(fma.f64 (pow.f64 x 6) 1/8 (*.f64 -1/32 (pow.f64 x 8))) |
(+.f64 (*.f64 7/1920 (pow.f64 x 10)) (+.f64 (*.f64 -1/32 (pow.f64 x 8)) (*.f64 1/8 (pow.f64 x 6)))) |
(fma.f64 7/1920 (pow.f64 x 10) (fma.f64 -1/32 (pow.f64 x 8) (*.f64 (pow.f64 x 6) 1/8))) |
(fma.f64 7/1920 (pow.f64 x 10) (fma.f64 (pow.f64 x 6) 1/8 (*.f64 -1/32 (pow.f64 x 8)))) |
(+.f64 (*.f64 7/1920 (pow.f64 x 10)) (+.f64 (*.f64 -1/32 (pow.f64 x 8)) (+.f64 (*.f64 -1/3780 (pow.f64 x 12)) (*.f64 1/8 (pow.f64 x 6))))) |
(fma.f64 7/1920 (pow.f64 x 10) (fma.f64 -1/32 (pow.f64 x 8) (fma.f64 -1/3780 (pow.f64 x 12) (*.f64 (pow.f64 x 6) 1/8)))) |
(fma.f64 7/1920 (pow.f64 x 10) (fma.f64 -1/32 (pow.f64 x 8) (fma.f64 (pow.f64 x 6) 1/8 (*.f64 -1/3780 (pow.f64 x 12))))) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
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(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
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(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
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(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
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(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
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(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
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(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) 1) |
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(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1) |
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(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2) (pow.f64 (-.f64 1 (cos.f64 x)) 3/2)) |
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(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 4)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
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(pow.f64 (-.f64 1 (cos.f64 x)) 3) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 4)) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3)) |
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 3) (-.f64 1 (cos.f64 x))) |
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(pow.f64 (-.f64 1 (cos.f64 x)) 3) |
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(*.f64 (*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
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(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 -1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
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(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (fabs.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (fabs.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (*.f64 (pow.f64 1 1/3) 1) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(/.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (*.f64 (pow.f64 1 1/3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 (pow.f64 1 1/3) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (*.f64 (pow.f64 1 1/3) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 (pow.f64 1 1/3) (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (+.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (fabs.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (fabs.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 4))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (cos.f64 x))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) 1) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6))) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(fabs.f64 (-.f64 1 (cos.f64 x))) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(-.f64 1 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(-.f64 1 (cos.f64 x)) |
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5% | (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
| ✓ | 0.59% | (pow.f64 (cos.f64 x) 3) |
| ✓ | 3.04% | (-.f64 1 (pow.f64 (cos.f64 x) 3)) |
| ✓ | 22.55% | (/.f64 (*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 x x)) |
Compiled 86 to 37 computations (57% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 x x)) |
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (pow.f64 (cos.f64 x) 3) |
| 0.0ms | x | @ | 0 | (-.f64 1 (pow.f64 (cos.f64 x) 3)) |
| 1× | batch-egg-rewrite |
| 1404× | associate-/l/ |
| 1400× | associate-/r/ |
| 354× | add-sqr-sqrt |
| 342× | *-un-lft-identity |
| 340× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 110 |
| 1 | 354 | 110 |
| 2 | 4919 | 110 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 x x)) |
(-.f64 1 (pow.f64 (cos.f64 x) 3)) |
(pow.f64 (cos.f64 x) 3) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
| Outputs |
|---|
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(pow.f64 (cos.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (cos.f64 x) 6)) (pow.f64 (cos.f64 x) 6)) (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (-.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 x) 9) (pow.f64 (pow.f64 (cos.f64 x) 6) 3)) (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (cos.f64 x) 6)) (-.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (cos.f64 x) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))))) |
| 1× | egg-herbie |
| 906× | +-commutative |
| 806× | associate-/l* |
| 804× | associate-*r* |
| 750× | associate-*l* |
| 568× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 502 | 10660 |
| 1 | 1496 | 9410 |
| 2 | 7767 | 9404 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) |
(*.f64 3/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -7/8 (pow.f64 x 4)) (*.f64 3/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -7/8 (pow.f64 x 4)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 61/240 (pow.f64 x 6)))) |
(+.f64 (*.f64 -7/8 (pow.f64 x 4)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (+.f64 (*.f64 61/240 (pow.f64 x 6)) (*.f64 -547/13440 (pow.f64 x 8))))) |
1 |
(+.f64 1 (*.f64 -3/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) (*.f64 7/8 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -61/240 (pow.f64 x 6)) (+.f64 (*.f64 -3/2 (pow.f64 x 2)) (*.f64 7/8 (pow.f64 x 4))))) |
2 |
(+.f64 2 (*.f64 -3/2 (pow.f64 x 2))) |
(+.f64 2 (+.f64 (*.f64 3/8 (pow.f64 x 4)) (*.f64 -3/2 (pow.f64 x 2)))) |
(+.f64 2 (+.f64 (*.f64 3/8 (pow.f64 x 4)) (+.f64 (*.f64 -3/2 (pow.f64 x 2)) (*.f64 -11/240 (pow.f64 x 6))))) |
(+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) |
(+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) |
(+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) |
(+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) |
(+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) |
(+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) |
(+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) |
(+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x -2)))) 1) |
(*.f64 1 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x -2))) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2))) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x -2))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x -2)) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x -2)) 1) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 x x) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))) x) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))) x)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) 2)) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x -2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x -2)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x) (/.f64 1 (*.f64 x (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(*.f64 (/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (/.f64 1 (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (*.f64 x x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) 2)) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (*.f64 x x))) |
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 x x) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x)))))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x)))))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) 2)) x) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) 2)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x -2)))) |
(*.f64 (/.f64 1 (*.f64 (/.f64 (*.f64 x x) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 1 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x)))))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x)))))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) 2)))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (*.f64 x (neg.f64 x))) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 x x) 1)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (/.f64 1 (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))) (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x))) (/.f64 1 (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x)))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) 2)) (*.f64 x x)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) -2)) (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x))) (/.f64 -1 (cbrt.f64 (-.f64 -1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
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(pow.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x -2)) 3) 1/3) |
(pow.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x))) -1) |
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(log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (pow.f64 x -2))) |
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(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (cos.f64 x) 3))) (+.f64 (log1p.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (*.f64 2 (log.f64 x)))) 1)) |
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(+.f64 (neg.f64 (pow.f64 (cos.f64 x) 3)) 1) |
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(*.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
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(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 9)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 6))))) |
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(*.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 6)))) (-.f64 1 (pow.f64 (cos.f64 x) 9))) |
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(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 9)) (+.f64 1 (pow.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6)) (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6))) (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6))))) |
(/.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 6))) (-.f64 1 (pow.f64 (cos.f64 x) 9)))) |
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(+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) |
(+.f64 (cos.f64 x) (*.f64 (pow.f64 (cos.f64 x) 2) 1)) |
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(+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x)) |
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(-.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) 1) |
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(-.f64 (exp.f64 (log.f64 (+.f64 2 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) 2) |
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(-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (exp.f64 (log1p.f64 (cos.f64 x)))) 1) |
(-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1) (exp.f64 (log1p.f64 (cos.f64 x)))) 1) |
(*.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (cos.f64 x) 6)) (pow.f64 (cos.f64 x) 6)) (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (-.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 9) (pow.f64 (pow.f64 (cos.f64 x) 6) 3)) (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (cos.f64 x) 6)) (-.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (cos.f64 x) 9))))) |
(pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 1) |
(pow.f64 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) 3) |
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 2)) |
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(exp.f64 (log.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 x x))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 x x))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 x x))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 x x))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 x x))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 x x))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 x x))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 x x))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(*.f64 3/2 (pow.f64 x 2)) |
(*.f64 3/2 (*.f64 x x)) |
(*.f64 (*.f64 3/2 x) x) |
(+.f64 (*.f64 -7/8 (pow.f64 x 4)) (*.f64 3/2 (pow.f64 x 2))) |
(fma.f64 -7/8 (pow.f64 x 4) (*.f64 3/2 (*.f64 x x))) |
(fma.f64 (pow.f64 x 4) -7/8 (*.f64 (*.f64 3/2 x) x)) |
(+.f64 (*.f64 -7/8 (pow.f64 x 4)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 61/240 (pow.f64 x 6)))) |
(fma.f64 -7/8 (pow.f64 x 4) (fma.f64 3/2 (*.f64 x x) (*.f64 (pow.f64 x 6) 61/240))) |
(fma.f64 (pow.f64 x 4) -7/8 (fma.f64 (pow.f64 x 6) 61/240 (*.f64 (*.f64 3/2 x) x))) |
(+.f64 (*.f64 -7/8 (pow.f64 x 4)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (+.f64 (*.f64 61/240 (pow.f64 x 6)) (*.f64 -547/13440 (pow.f64 x 8))))) |
(fma.f64 -7/8 (pow.f64 x 4) (fma.f64 3/2 (*.f64 x x) (fma.f64 61/240 (pow.f64 x 6) (*.f64 -547/13440 (pow.f64 x 8))))) |
(fma.f64 (pow.f64 x 4) -7/8 (fma.f64 3/2 (*.f64 x x) (fma.f64 (pow.f64 x 6) 61/240 (*.f64 -547/13440 (pow.f64 x 8))))) |
1 |
(+.f64 1 (*.f64 -3/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -3/2 (*.f64 x x))) |
(fma.f64 -3/2 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) (*.f64 7/8 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -3/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 7/8))) |
(+.f64 1 (fma.f64 (pow.f64 x 4) 7/8 (*.f64 x (*.f64 x -3/2)))) |
(+.f64 1 (+.f64 (*.f64 -61/240 (pow.f64 x 6)) (+.f64 (*.f64 -3/2 (pow.f64 x 2)) (*.f64 7/8 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -61/240 (pow.f64 x 6) (fma.f64 -3/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 7/8)))) |
(+.f64 1 (fma.f64 (pow.f64 x 6) -61/240 (fma.f64 (pow.f64 x 4) 7/8 (*.f64 x (*.f64 x -3/2))))) |
2 |
(+.f64 2 (*.f64 -3/2 (pow.f64 x 2))) |
(+.f64 2 (*.f64 -3/2 (*.f64 x x))) |
(fma.f64 -3/2 (*.f64 x x) 2) |
(+.f64 2 (+.f64 (*.f64 3/8 (pow.f64 x 4)) (*.f64 -3/2 (pow.f64 x 2)))) |
(+.f64 2 (fma.f64 3/8 (pow.f64 x 4) (*.f64 -3/2 (*.f64 x x)))) |
(+.f64 2 (fma.f64 (pow.f64 x 4) 3/8 (*.f64 x (*.f64 x -3/2)))) |
(+.f64 2 (+.f64 (*.f64 3/8 (pow.f64 x 4)) (+.f64 (*.f64 -3/2 (pow.f64 x 2)) (*.f64 -11/240 (pow.f64 x 6))))) |
(+.f64 2 (fma.f64 3/8 (pow.f64 x 4) (fma.f64 -3/2 (*.f64 x x) (*.f64 (pow.f64 x 6) -11/240)))) |
(+.f64 2 (fma.f64 (pow.f64 x 4) 3/8 (fma.f64 (pow.f64 x 6) -11/240 (*.f64 x (*.f64 x -3/2))))) |
(+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x -2)))) 1) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 x x))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(*.f64 1 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 x x))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 x x))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 x x))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 x x))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 x x))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (*.f64 x x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 x x))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 x x))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x -2)) 1) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 x x))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 x (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x)))))) 2) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 x x) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 x (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x)))))) 2) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))) x) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))) x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 x (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x)))))) 2) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) 2)) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x -2))) 2)) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 x x))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
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(*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) -2)) x) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) (/.f64 -1 (cbrt.f64 (-.f64 -1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))) |
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(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (-.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 2))) (-.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
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(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 2) (-.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
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(*.f64 (+.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 2)) (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3)))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (-.f64 -1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) -1) |
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(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (neg.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 2)))) (neg.f64 (-.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
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(/.f64 (*.f64 (*.f64 (pow.f64 x -2) (+.f64 (pow.f64 (cos.f64 x) 3) -1)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 -1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 2))) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 -1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 2))) (pow.f64 x -2)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) -1)) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (neg.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 2) (-.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 -1 (neg.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 3))) (pow.f64 x -2))) (neg.f64 (+.f64 (-.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 2)))) |
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(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 x (hypot.f64 1 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x)))))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x -2))) 3) |
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(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 x x))) |
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(exp.f64 (-.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (cos.f64 x) 3))) (log1p.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) (*.f64 2 (log.f64 x)))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (cos.f64 x) 3))) (fma.f64 2 (log.f64 x) (log1p.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (cos.f64 x) 3))) (+.f64 (log1p.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (*.f64 2 (log.f64 x)))) 1)) |
(exp.f64 (-.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (cos.f64 x) 3))) (log1p.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) (*.f64 2 (log.f64 x)))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (cos.f64 x) 3))) (fma.f64 2 (log.f64 x) (log1p.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x -2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 x x))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3))) |
(-.f64 1 (pow.f64 (cos.f64 x) 3)) |
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (cos.f64 x) 3)) 1)) |
(-.f64 1 (pow.f64 (cos.f64 x) 3)) |
(+.f64 (neg.f64 (pow.f64 (cos.f64 x) 3)) 1) |
(-.f64 1 (pow.f64 (cos.f64 x) 3)) |
(+.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 x) 3)) 1) 1) |
(-.f64 1 (pow.f64 (cos.f64 x) 3)) |
(+.f64 (-.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 3))) 1) |
(-.f64 1 (pow.f64 (cos.f64 x) 3)) |
(*.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(-.f64 1 (pow.f64 (cos.f64 x) 3)) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) |
(-.f64 1 (pow.f64 (cos.f64 x) 3)) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(-.f64 1 (pow.f64 (cos.f64 x) 3)) |
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 2)) |
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(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(-.f64 1 (pow.f64 (cos.f64 x) 3)) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 9)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 6))))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 9)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (cos.f64 x) 6)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 9)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (cos.f64 x) 6))) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (pow.f64 (cos.f64 x) 6))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 6)))) (-.f64 1 (pow.f64 (cos.f64 x) 9))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 9)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (cos.f64 x) 6)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 9)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (cos.f64 x) 6))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (-.f64 1 (pow.f64 (cos.f64 x) 6))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(-.f64 1 (pow.f64 (cos.f64 x) 3)) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (pow.f64 (cos.f64 x) 9))) (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 6)) (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (pow.f64 (cos.f64 x) 9))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 9)) (+.f64 (pow.f64 (cos.f64 x) 6) (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 9)) (+.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (cos.f64 x) 6)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 9)) (-.f64 1 (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6)) (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6))))) (-.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 9)) (-.f64 1 (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6)) (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6))))) (-.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (cos.f64 x) 6))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 9)) (+.f64 1 (pow.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6)) (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6))) (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6))))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 9)) (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6)) (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6))) (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6))))) (+.f64 1 (pow.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6)) 3))) |
(/.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(-.f64 1 (pow.f64 (cos.f64 x) 3)) |
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (pow.f64 (cos.f64 x) 6)))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 6))) (-.f64 1 (pow.f64 (cos.f64 x) 9)))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 9)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (cos.f64 x) 6)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 9)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (cos.f64 x) 6))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) |
(-.f64 1 (pow.f64 (cos.f64 x) 3)) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 9)) (+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 6)))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 9)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (cos.f64 x) 6)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 9)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (cos.f64 x) 6))) |
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 (cos.f64 x) 3)) (neg.f64 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (cos.f64 x) 6))) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (cos.f64 x) 6)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 12)) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (cos.f64 x) 6)))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 9) (pow.f64 (cos.f64 x) 9))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 6))) (+.f64 1 (pow.f64 (cos.f64 x) 9)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 18)) (*.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (cos.f64 x) 6)) (+.f64 1 (pow.f64 (cos.f64 x) 9)))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (cos.f64 x) 3)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 x) 3)) (neg.f64 (pow.f64 (cos.f64 x) 3))) (neg.f64 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (cos.f64 x) 3)) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 6) (neg.f64 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (cos.f64 x) 6))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (cos.f64 x) 3)) 3)) (*.f64 1 (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 x) 3)) (neg.f64 (pow.f64 (cos.f64 x) 3))) (neg.f64 (pow.f64 (cos.f64 x) 3)))))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (cos.f64 x) 3)) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 6) (neg.f64 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (cos.f64 x) 6))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 6) 3)) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 6) (*.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (cos.f64 x) 6)))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 6) 3)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (cos.f64 x) 12)))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 6) 3)) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 6) (+.f64 1 (pow.f64 (cos.f64 x) 12))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 9) 3)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 6))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 9) (*.f64 (pow.f64 (cos.f64 x) 9) (pow.f64 (cos.f64 x) 9)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 9) 3)) (*.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (cos.f64 x) 6)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 9) (pow.f64 (cos.f64 x) 18))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 9) 3)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (cos.f64 x) 6))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 9) (pow.f64 (cos.f64 x) 18)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6))) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6))) (+.f64 -1 (neg.f64 (pow.f64 (cos.f64 x) 3)))) |
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(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6))) (+.f64 -1 (neg.f64 (pow.f64 (cos.f64 x) 3)))) |
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(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 9))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (cos.f64 x) 6)))) |
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(pow.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) |
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(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 2) |
(-.f64 1 (pow.f64 (cos.f64 x) 3)) |
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 3) |
(-.f64 1 (pow.f64 (cos.f64 x) 3)) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 3) 1/3) |
(-.f64 1 (pow.f64 (cos.f64 x) 3)) |
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 2)) |
(fabs.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(log.f64 (exp.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(-.f64 1 (pow.f64 (cos.f64 x) 3)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(-.f64 1 (pow.f64 (cos.f64 x) 3)) |
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 3)) |
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(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (cos.f64 x) 3)))) |
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (cos.f64 x) 3))) 1)) |
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (cos.f64 x) 3)))) |
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(pow.f64 (cos.f64 x) 3) |
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(*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) |
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(pow.f64 (cos.f64 x) 3) |
(sqrt.f64 (pow.f64 (cos.f64 x) 6)) |
(fabs.f64 (pow.f64 (cos.f64 x) 3)) |
(log.f64 (exp.f64 (pow.f64 (cos.f64 x) 3))) |
(+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) -1)) |
(pow.f64 (cos.f64 x) 3) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 x) 3)))) |
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(pow.f64 (cos.f64 x) 3) |
(cbrt.f64 (pow.f64 (cos.f64 x) 9)) |
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 x) 3))) |
(+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) -1)) |
(pow.f64 (cos.f64 x) 3) |
(exp.f64 (*.f64 3 (log.f64 (cos.f64 x)))) |
(+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) -1)) |
(pow.f64 (cos.f64 x) 3) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 x))) 1)) |
(+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) -1)) |
(pow.f64 (cos.f64 x) 3) |
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 x) 3))) |
(+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) -1)) |
(pow.f64 (cos.f64 x) 3) |
(+.f64 1 (+.f64 (cos.f64 x) (-.f64 (pow.f64 (cos.f64 x) 2) 1))) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (pow.f64 (cos.f64 x) 2) 1)) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(+.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 0) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 (+.f64 1 (cos.f64 x)) 1)) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (-.f64 (cos.f64 x) 1)) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x)) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(+.f64 1/2 (+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 x))) (cos.f64 x))) |
(+.f64 1/2 (fma.f64 1/2 (cos.f64 (*.f64 x 2)) (cos.f64 x))) |
(+.f64 (+.f64 (cos.f64 x) 1/2) (*.f64 1/2 (cos.f64 (*.f64 2 x)))) |
(+.f64 1/2 (fma.f64 1/2 (cos.f64 (*.f64 x 2)) (cos.f64 x))) |
(-.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) 1) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 2))) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1) (pow.f64 (cos.f64 x) 2)) |
(+.f64 (pow.f64 (cos.f64 x) 2) (expm1.f64 (log1p.f64 (cos.f64 x)))) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) 2) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(-.f64 (/.f64 1 (-.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 2) (-.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) 1)) |
(-.f64 (/.f64 1 (-.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) (+.f64 1 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 2) (-.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))) |
(+.f64 (-.f64 (/.f64 1 (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 2) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))) -1) |
(+.f64 -1 (-.f64 (/.f64 1 (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 2) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))))) |
(-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (exp.f64 (log1p.f64 (cos.f64 x)))) 1) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1) (pow.f64 (cos.f64 x) 2)) |
(+.f64 (pow.f64 (cos.f64 x) 2) (expm1.f64 (log1p.f64 (cos.f64 x)))) |
(-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1) (exp.f64 (log1p.f64 (cos.f64 x)))) 1) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1) (pow.f64 (cos.f64 x) 2)) |
(+.f64 (pow.f64 (cos.f64 x) 2) (expm1.f64 (log1p.f64 (cos.f64 x)))) |
(*.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 1) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(*.f64 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x)))) |
(pow.f64 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) 2) |
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) 2)) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) 2) (cbrt.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(*.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x)) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6)) (+.f64 (pow.f64 (cos.f64 x) 4) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (cos.f64 x) 6)) (pow.f64 (cos.f64 x) 6)) (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (-.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 12) (pow.f64 (cos.f64 x) 6)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 4) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (-.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 9) (pow.f64 (pow.f64 (cos.f64 x) 6) 3)) (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (cos.f64 x) 6)) (-.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (cos.f64 x) 9))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 9) (pow.f64 (pow.f64 (cos.f64 x) 6) 3)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 4) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (cos.f64 x) 12) (-.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (cos.f64 x) 9))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 9) (pow.f64 (pow.f64 (cos.f64 x) 6) 3)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 4) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (cos.f64 x) 6) (-.f64 (pow.f64 (cos.f64 x) 12) (pow.f64 (cos.f64 x) 9))))) |
(pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 1) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(pow.f64 (hypot.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) 3) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3) 1/3) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 2)) |
(fabs.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) |
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3)) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(exp.f64 (log.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) 1)) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) |
Compiled 24816 to 14514 computations (41.5% saved)
14 alts after pruning (9 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1039 | 4 | 1043 |
| Fresh | 4 | 5 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 1044 | 14 | 1058 |
| Status | Error | Program |
|---|---|---|
| 48.11% | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) | |
| ✓ | 48.46% | (/.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) (*.f64 x x)) |
| ▶ | 23.42% | (/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x)) |
| ✓ | 48.43% | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| ✓ | 23.18% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| ▶ | 48.78% | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
| ✓ | 51.01% | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| ✓ | 47.69% | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| 46.97% | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) | |
| ▶ | 0.18% | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
| ▶ | 23.58% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
| 0.31% | (*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) | |
| ▶ | 48.53% | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 49.56% | 1/2 |
Compiled 247 to 171 computations (30.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.14% | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
| ✓ | 0.18% | (/.f64 (sin.f64 x) x) |
| ✓ | 0.27% | (/.f64 (tan.f64 (*.f64 x 1/2)) x) |
Compiled 33 to 18 computations (45.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | x | @ | -inf | (/.f64 (sin.f64 x) x) |
| 1.0ms | x | @ | -inf | (/.f64 (tan.f64 (*.f64 x 1/2)) x) |
| 0.0ms | x | @ | inf | (/.f64 (tan.f64 (*.f64 x 1/2)) x) |
| 0.0ms | x | @ | 0 | (/.f64 (tan.f64 (*.f64 x 1/2)) x) |
| 0.0ms | x | @ | inf | (/.f64 (sin.f64 x) x) |
| 1× | batch-egg-rewrite |
| 1724× | associate-/l* |
| 1050× | unswap-sqr |
| 840× | swap-sqr |
| 400× | associate-/l/ |
| 296× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 61 |
| 1 | 235 | 61 |
| 2 | 3157 | 61 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (tan.f64 (*.f64 x 1/2)) x) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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#<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))))))) |
| 1× | egg-herbie |
| 1056× | associate-/r* |
| 1032× | associate-/l* |
| 918× | associate-/r/ |
| 910× | associate-*r* |
| 838× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 666 | 9490 |
| 1 | 1815 | 9352 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/240 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (+.f64 (*.f64 17/40320 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4))))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1) |
(*.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
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(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 x (/.f64 1 x))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 x)))) |
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 (neg.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))) 1)) |
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 x x) (neg.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (neg.f64 x)))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x x) (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (neg.f64 x) (/.f64 (sin.f64 x) x))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))) 1)) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x (neg.f64 x)) (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (/.f64 1 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (/.f64 1 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 x (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 x (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) |
(/.f64 (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))) |
(/.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (sqrt.f64 (neg.f64 (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) (/.f64 x (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (cbrt.f64 (neg.f64 (sin.f64 x))))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 x (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (/.f64 x (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 x (*.f64 (cos.f64 (*.f64 x 1/2)) x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (*.f64 x (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 x)) (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x (neg.f64 x))) |
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) (/.f64 x (sin.f64 x)))) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)) (*.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) 1) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x))) |
(/.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)))) |
(/.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sqrt.f64 x)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (cbrt.f64 x)))) |
(/.f64 -1 (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (sin.f64 x))) |
(/.f64 -1 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(/.f64 -1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (neg.f64 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 -1 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (neg.f64 (sin.f64 x))))) |
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (neg.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (neg.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 x (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 x) x))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (sin.f64 x))) (/.f64 x (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (sin.f64 x))))) |
(/.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x))) |
(/.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (sqrt.f64 x)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x))) |
(/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (sin.f64 x)) x))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 (cos.f64 (*.f64 x 1/2)) x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 x (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x (*.f64 (cos.f64 (*.f64 x 1/2)) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) (*.f64 x x)) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 x)) |
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3) 1/3) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 (sin.f64 x) x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))) |
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 x (sin.f64 x)))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) |
(neg.f64 (/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)))) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 x (neg.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 1/24 (*.f64 x x))) |
(fma.f64 1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/240 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/24 (*.f64 x x) (*.f64 1/240 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/240 (pow.f64 x 4) (*.f64 x (*.f64 x 1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (+.f64 (*.f64 17/40320 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 1/24 (*.f64 x x) (fma.f64 17/40320 (pow.f64 x 6) (*.f64 1/240 (pow.f64 x 4))))) |
(+.f64 (fma.f64 1/24 (*.f64 x x) 1/2) (fma.f64 1/240 (pow.f64 x 4) (*.f64 17/40320 (pow.f64 x 6)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) |
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 x x))) |
(fma.f64 -1/6 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/120))) |
(+.f64 1 (fma.f64 (pow.f64 x 4) 1/120 (*.f64 x (*.f64 x -1/6)))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/120)))) |
(+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) -1/5040))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/720))) |
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(/.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (/.f64 x (sin.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (/.f64 x (tan.f64 (*.f64 1/2 x))) (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 (cos.f64 (*.f64 x 1/2)) x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 1/2 x))))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 x (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 1/2 x))))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x (*.f64 (cos.f64 (*.f64 x 1/2)) (neg.f64 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 1/2 x))))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 x) x)) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) (*.f64 x x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) 2) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) (*.f64 x x)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 3) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3) 1/3) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 (sin.f64 x) x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 x (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(neg.f64 (/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 x (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 1)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.05% | (/.f64 -1 (*.f64 x x)) |
| ✓ | 3.41% | (+.f64 -1 (cos.f64 x)) |
| ✓ | 23.26% | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
Compiled 27 to 13 computations (51.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 -1 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 -1 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1048× | *-commutative |
| 902× | unswap-sqr |
| 878× | associate-/r* |
| 580× | swap-sqr |
| 498× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 53 |
| 1 | 221 | 49 |
| 2 | 3002 | 49 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(+.f64 -1 (cos.f64 x)) |
(/.f64 -1 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (+.f64 -1 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x -2)) (/.f64 1 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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| 1× | egg-herbie |
| 1136× | associate-/l* |
| 858× | associate-*r* |
| 796× | associate-*l* |
| 738× | associate-/r* |
| 634× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 583 | 9542 |
| 1 | 1712 | 8576 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
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(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) (pow.f64 (neg.f64 (pow.f64 x -2)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (+.f64 -1 (cos.f64 x))))) |
(exp.f64 (log.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (+.f64 -1 (cos.f64 x))))) |
(log1p.f64 (expm1.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (+.f64 -1 (cos.f64 x))))) |
(fma.f64 -1 (neg.f64 (pow.f64 x -2)) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(fma.f64 (neg.f64 (pow.f64 x -2)) -1 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 2) |
(-.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 x)))) 1) |
(-.f64 (/.f64 1 (-.f64 -1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 -1 (cos.f64 x)))) |
(-.f64 (+.f64 -1 (exp.f64 (log1p.f64 (cos.f64 x)))) 1) |
(*.f64 -1 (+.f64 1 (neg.f64 (cos.f64 x)))) |
(*.f64 (+.f64 -1 (cos.f64 x)) 1) |
(*.f64 1 (+.f64 -1 (cos.f64 x))) |
(*.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (+.f64 1 (neg.f64 (cos.f64 x))) -1) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) (neg.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x))))) (neg.f64 (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))))) |
(*.f64 (*.f64 -1 (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))))) |
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 x)) 1)) |
(*.f64 (-.f64 (sqrt.f64 (cos.f64 x)) 1) (+.f64 1 (sqrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 1 (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 x))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (-.f64 (cos.f64 x) -1) (-.f64 (cos.f64 x) -1))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (-.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 1)))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x))))) |
(*.f64 (neg.f64 (*.f64 -1 (sqrt.f64 (+.f64 -1 (cos.f64 x))))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (neg.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x)))) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x)))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))))) (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x)))))) |
(/.f64 1 (/.f64 1 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (-.f64 -1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (-.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1)) |
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3))) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) 1) (-.f64 (cos.f64 x) -1)) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3))) (*.f64 (-.f64 -1 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (-.f64 (pow.f64 (cos.f64 x) 3) -1))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (-.f64 -1 (cos.f64 x)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (-.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (-.f64 -1 (cos.f64 x)))) (sqrt.f64 (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (-.f64 -1 (cos.f64 x))) (cbrt.f64 (-.f64 -1 (cos.f64 x))))) (cbrt.f64 (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (cos.f64 x))) |
(/.f64 (neg.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 (+.f64 -1 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) 1/3) |
(neg.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) 1))) |
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(sqrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (+.f64 -1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3)) |
(expm1.f64 (log.f64 (+.f64 0 (cos.f64 x)))) |
(exp.f64 (log.f64 (+.f64 -1 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (+.f64 -1 (cos.f64 x)))) |
(fma.f64 1 (cos.f64 x) -1) |
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) -1) |
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))) 1) |
(*.f64 -1 (pow.f64 x -2)) |
(*.f64 (neg.f64 (pow.f64 x -2)) 1) |
(*.f64 1 (neg.f64 (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x)) |
(*.f64 (/.f64 (sqrt.f64 -1) x) (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (neg.f64 (*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))) |
(*.f64 (/.f64 -1 x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) -1) |
(*.f64 (sqrt.f64 (pow.f64 x -2)) (neg.f64 (sqrt.f64 (pow.f64 x -2)))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2))) (neg.f64 (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(*.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (neg.f64 (/.f64 (sqrt.f64 -1) x))) |
(*.f64 (/.f64 1 x) (/.f64 -1 x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x -2))) (sqrt.f64 (pow.f64 x -2))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (/.f64 (sqrt.f64 -1) x)) |
(*.f64 (neg.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x)))) |
(pow.f64 (neg.f64 (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) 1/3) |
(pow.f64 (*.f64 x (neg.f64 x)) -1) |
(neg.f64 (pow.f64 x -2)) |
(sqrt.f64 (/.f64 1 (pow.f64 x 4))) |
(log.f64 (exp.f64 (neg.f64 (pow.f64 x -2)))) |
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3)) |
(expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))) |
(exp.f64 (log.f64 (neg.f64 (pow.f64 x -2)))) |
(log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 (pow.f64 x 4) 1/24 (*.f64 x (*.f64 x -1/2))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6)))) |
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/720))) |
(fma.f64 (pow.f64 x 4) 1/24 (fma.f64 (pow.f64 x 6) -1/720 (*.f64 x (*.f64 x -1/2)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8))))) |
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/720 (pow.f64 x 6) (*.f64 1/40320 (pow.f64 x 8))))) |
(fma.f64 (pow.f64 x 4) 1/24 (fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 6) -1/720 (*.f64 1/40320 (pow.f64 x 8))))) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
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(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1)))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (-.f64 -1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 x))) (fabs.f64 (sin.f64 x))) |
(*.f64 (fabs.f64 (sin.f64 x)) (/.f64 (fabs.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1)) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (-.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (-.f64 -1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (-.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1)) |
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3))) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 -1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 -1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) 1) (-.f64 (cos.f64 x) -1)) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1)) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) (-.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3))) (*.f64 (-.f64 -1 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (*.f64 (-.f64 -1 (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (-.f64 (pow.f64 (cos.f64 x) 3) -1))))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (pow.f64 (cos.f64 x) 3) 1))))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (-.f64 -1 (cos.f64 x)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (*.f64 (-.f64 -1 (cos.f64 x)) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (pow.f64 (cos.f64 x) 4) 1)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (-.f64 -1 (cos.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (-.f64 -1 (cos.f64 x)))) (sqrt.f64 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (-.f64 -1 (cos.f64 x))) (cbrt.f64 (-.f64 -1 (cos.f64 x))))) (cbrt.f64 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (neg.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) |
(pow.f64 (+.f64 -1 (cos.f64 x)) 1) |
(+.f64 -1 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) 2) |
(+.f64 -1 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 3) |
(+.f64 -1 (cos.f64 x)) |
(pow.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) 1/3) |
(+.f64 -1 (cos.f64 x)) |
(neg.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) |
(+.f64 -1 (cos.f64 x)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) 1))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1)) |
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 -1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 -1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(sqrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 2)) |
(fabs.f64 (+.f64 -1 (cos.f64 x))) |
(log.f64 (exp.f64 (+.f64 -1 (cos.f64 x)))) |
(+.f64 -1 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (cos.f64 x))))) |
(+.f64 -1 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3)) |
(+.f64 -1 (cos.f64 x)) |
(expm1.f64 (log.f64 (+.f64 0 (cos.f64 x)))) |
(+.f64 -1 (cos.f64 x)) |
(exp.f64 (log.f64 (+.f64 -1 (cos.f64 x)))) |
(+.f64 -1 (cos.f64 x)) |
(log1p.f64 (expm1.f64 (+.f64 -1 (cos.f64 x)))) |
(+.f64 -1 (cos.f64 x)) |
(fma.f64 1 (cos.f64 x) -1) |
(+.f64 -1 (cos.f64 x)) |
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) -1) |
(+.f64 -1 (cos.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) -1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))) 1) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 -1 (pow.f64 x -2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (neg.f64 (pow.f64 x -2)) 1) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 1 (neg.f64 (pow.f64 x -2))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x)) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (/.f64 (sqrt.f64 -1) x) (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (neg.f64 (*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (/.f64 -1 x) (/.f64 1 x)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) -1) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (sqrt.f64 (pow.f64 x -2)) (neg.f64 (sqrt.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2))) (neg.f64 (cbrt.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (neg.f64 (/.f64 (sqrt.f64 -1) x))) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (/.f64 1 x) (/.f64 -1 x)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x -2))) (sqrt.f64 (pow.f64 x -2))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x -2))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (/.f64 (sqrt.f64 -1) x)) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (neg.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (cbrt.f64 (/.f64 (sqrt.f64 -1) x)))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (cbrt.f64 (/.f64 (sqrt.f64 -1) x)))) |
(pow.f64 (neg.f64 (pow.f64 x -2)) 1) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 3) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) 1/3) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(pow.f64 (*.f64 x (neg.f64 x)) -1) |
(/.f64 1 (*.f64 x (neg.f64 x))) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (*.f64 x x)) |
(sqrt.f64 (/.f64 1 (pow.f64 x 4))) |
(log.f64 (exp.f64 (neg.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2))))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(exp.f64 (log.f64 (neg.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.08% | (/.f64 (cos.f64 x) (*.f64 x x)) |
| ✓ | 26.25% | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
Compiled 27 to 10 computations (63% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
| 1.0ms | x | @ | inf | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
| 0.0ms | x | @ | 0 | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
| 0.0ms | x | @ | 0 | (/.f64 (cos.f64 x) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 (cos.f64 x) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1582× | associate-*r/ |
| 1176× | associate-/r* |
| 1026× | associate-*l/ |
| 996× | *-commutative |
| 952× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 46 |
| 1 | 222 | 46 |
| 2 | 3112 | 46 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) (/.f64 (sqrt.f64 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x) (/.f64 (cbrt.f64 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (cos.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 x x)) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (cos.f64 x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 1268× | associate-+r+ |
| 1264× | associate-+l+ |
| 798× | +-commutative |
| 772× | associate-/r/ |
| 488× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 386 | 10308 |
| 1 | 1096 | 9180 |
| 2 | 5067 | 9006 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 2)) 1/2) |
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) 1/2) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 1/2) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2)) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (+.f64 (pow.f64 x -2) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (+.f64 (pow.f64 x -2) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
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(/.f64 (/.f64 (-.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x -6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) 1) (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x -6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x -6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4))))) |
(pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 1) |
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))) 3) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 2)) |
(log.f64 (exp.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))) |
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(exp.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(fma.f64 1 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(fma.f64 (/.f64 1 x) (/.f64 1 x) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) 1) |
(*.f64 (pow.f64 x -2) (cos.f64 x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1) |
(*.f64 1 (*.f64 (pow.f64 x -2) (cos.f64 x))) |
(*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) (/.f64 (sqrt.f64 (cos.f64 x)) x)) |
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x)) |
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))) |
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1)) |
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) |
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x) (/.f64 (cbrt.f64 (cos.f64 x)) x)) |
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 x x)) (cbrt.f64 (cos.f64 x))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x))) |
(pow.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3) |
(pow.f64 (*.f64 (/.f64 x (cos.f64 x)) x) -1) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)) 1/3) |
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) |
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1 x) x) |
(-.f64 (/.f64 1 (pow.f64 x 2)) 1/2) |
(+.f64 (/.f64 1 (*.f64 x x)) -1/2) |
(+.f64 (/.f64 (/.f64 1 x) x) -1/2) |
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) 1/2) |
(+.f64 (fma.f64 1/24 (*.f64 x x) (/.f64 1 (*.f64 x x))) -1/2) |
(+.f64 (fma.f64 (*.f64 x x) 1/24 (/.f64 (/.f64 1 x) x)) -1/2) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 1/2) |
(+.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 1/24 (*.f64 x x) (/.f64 1 (*.f64 x x)))) -1/2) |
(+.f64 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 (*.f64 x x) 1/24 (/.f64 (/.f64 1 x) x))) -1/2) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (pow.f64 x -2))) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (pow.f64 x -2))) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
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(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(pow.f64 (*.f64 (/.f64 x (cos.f64 x)) x) -1) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 x -6) (pow.f64 (cos.f64 x) 3))) |
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2))) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) |
(cbrt.f64 (*.f64 (pow.f64 x -6) (pow.f64 (cos.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.25% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
| ✓ | 21.96% | (/.f64 (sin.f64 x) (*.f64 x x)) |
Compiled 32 to 14 computations (56.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (sin.f64 x) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
| 0.0ms | x | @ | inf | (/.f64 (sin.f64 x) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
| 1× | batch-egg-rewrite |
| 1458× | associate-*l/ |
| 1232× | associate-/r* |
| 1098× | *-commutative |
| 948× | associate-/l* |
| 674× | swap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 50 |
| 1 | 229 | 50 |
| 2 | 3014 | 50 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 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#<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (sin.f64 x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 1 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) (sin.f64 (*.f64 x 1/2))))))) 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| 1× | egg-herbie |
| 1314× | associate-/l* |
| 742× | distribute-rgt-in |
| 736× | distribute-lft-in |
| 598× | associate-/r* |
| 594× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 460 | 7134 |
| 1 | 1261 | 7088 |
| 2 | 5762 | 7088 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 x) |
(+.f64 (*.f64 -1/6 x) (/.f64 1 x)) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (/.f64 1 x))) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 x) (/.f64 1 x)))) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
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(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (sin.f64 (*.f64 x 1/2))) 1) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (sin.f64 (*.f64 x 1/2))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) x) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) 1) (*.f64 x (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) -1) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) 1) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2)))) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 2)) |
(log.f64 (pow.f64 (exp.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) (tan.f64 (*.f64 x 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
| Outputs |
|---|
(/.f64 1 x) |
(+.f64 (*.f64 -1/6 x) (/.f64 1 x)) |
(fma.f64 -1/6 x (/.f64 1 x)) |
(fma.f64 x -1/6 (/.f64 1 x)) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (/.f64 1 x))) |
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 -1/6 x (/.f64 1 x))) |
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 x -1/6 (/.f64 1 x))) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 x) (/.f64 1 x)))) |
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 5) (fma.f64 -1/6 x (/.f64 1 x)))) |
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 5) (fma.f64 x -1/6 (/.f64 1 x)))) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 (*.f64 -1/24 x) x))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))) 1) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (sin.f64 x) (pow.f64 x -2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 1) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 1 (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 x -2))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 x -2))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 1 x)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (sin.f64 x)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (*.f64 x x))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 x -2)) (sqrt.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) x)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x x))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (*.f64 x x))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x x)) (sqrt.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (sqrt.f64 (sin.f64 x)) 1)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 x x)) (cbrt.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x))) (cbrt.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 1) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) 2) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 3) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3) 1/3) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(pow.f64 (*.f64 (/.f64 x (sin.f64 x)) x) -1) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(neg.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x)))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) 1)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(neg.f64 (*.f64 (sin.f64 x) (/.f64 -1 (*.f64 x x)))) |
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(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (sin.f64 (*.f64 x 1/2))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))))) |
(*.f64 (/.f64 (sin.f64 x) (fabs.f64 (cbrt.f64 x))) (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) x) (neg.f64 x)) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) 1) (*.f64 x (neg.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) -1) (*.f64 x x)) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) 1) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (cbrt.f64 (pow.f64 x 4))))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) |
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) 2)) |
(fabs.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) |
(log.f64 (pow.f64 (exp.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3)) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.24% | (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) |
| ✓ | 0.34% | (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) |
| ✓ | 0.41% | (+.f64 1 (cos.f64 x)) |
| ✓ | 22.49% | (/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x)) |
Compiled 45 to 19 computations (57.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x)) |
| 1.0ms | x | @ | -inf | (/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1832× | associate-/r/ |
| 1492× | associate-/l/ |
| 604× | distribute-lft-in |
| 268× | add-sqr-sqrt |
| 262× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 106 |
| 1 | 260 | 62 |
| 2 | 3911 | 62 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x)) |
(+.f64 1 (cos.f64 x)) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> 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| 1× | egg-herbie |
| 1718× | associate-*r* |
| 1404× | associate-*l* |
| 1306× | associate-/l* |
| 1154× | *-commutative |
| 1098× | associate-*l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 787 | 12564 |
| 1 | 2467 | 12302 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) 1) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 2 x) |
(+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) |
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/15120 (pow.f64 x 5))))) |
(/.f64 (+.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) 1) (sin.f64 x)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 -1 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2)))) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 1 (neg.f64 (*.f64 x x)))) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) 1) (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x x)) (*.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 x x)) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) (tan.f64 (/.f64 x 2)))) |
(*.f64 (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2))) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (/.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x)))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (*.f64 x x) (tan.f64 (/.f64 x 2)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (*.f64 x x) (tan.f64 (/.f64 x 2)))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) 1) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (tan.f64 (/.f64 x 2)))) (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2))))) (*.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2)) (*.f64 (/.f64 (sin.f64 x) 1) (cbrt.f64 (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 (pow.f64 x -2) (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 -1 (tan.f64 (/.f64 x 2)))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2))))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (tan.f64 (/.f64 x 2))))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 1) (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (+.f64 1 (cos.f64 x))) (sin.f64 x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) (/.f64 (sin.f64 x) (hypot.f64 1 (sqrt.f64 (cos.f64 x))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (-.f64 -1 (cos.f64 x))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x)))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (sin.f64 x)))) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) -1) (neg.f64 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (neg.f64 (-.f64 -1 (cos.f64 x)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (*.f64 (pow.f64 (sin.f64 x) 2) 1)) (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) 1)) (*.f64 (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x -2)) (-.f64 -1 (cos.f64 x))) (sin.f64 x)) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x -2)) -1) (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x -2)) (neg.f64 (-.f64 -1 (cos.f64 x)))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) 1) (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (+.f64 1 (cos.f64 x))) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) (/.f64 (sin.f64 x) (hypot.f64 1 (sqrt.f64 (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 -1 (cos.f64 x))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x)))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (sin.f64 x)))) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) -1) (neg.f64 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (neg.f64 (-.f64 -1 (cos.f64 x)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (*.f64 (pow.f64 (sin.f64 x) 2) 1)) (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) 1)) (*.f64 (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (sin.f64 x))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x)))) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2)) |
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(-.f64 (+.f64 1 (cos.f64 x)) 0) |
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (cos.f64 x)))) 1) |
(-.f64 (+.f64 2 (cos.f64 x)) 1) |
(*.f64 1 (+.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 1 (cos.f64 x)) 1) |
(*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) |
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(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2))))) |
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(*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2) (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 -1 (cos.f64 x)) (/.f64 1 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) |
(*.f64 -1 (/.f64 -1 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (-.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2))) (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (hypot.f64 1 (sqrt.f64 (cos.f64 x))))) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (sin.f64 x)) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (sin.f64 x)) (/.f64 1 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) 1) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (tan.f64 (/.f64 x 2))) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (neg.f64 (sin.f64 x))) (/.f64 -1 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (/.f64 (sin.f64 x) 1)) (/.f64 1 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (*.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 (tan.f64 (/.f64 x 2))))) (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2))) (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) -1) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (/.f64 -1 (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (sin.f64 x))) (-.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (+.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (sin.f64 x))) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) 3))) (+.f64 1 (+.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (pow.f64 (cos.f64 x) 2)) (cos.f64 x)))) |
(pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 1) |
(pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 3) 1/3) |
(pow.f64 (tan.f64 (/.f64 x 2)) -1) |
(neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 2)) |
(log.f64 (exp.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(exp.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (*.f64 x (*.f64 x -1/24))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 2 (*.f64 -1/2 (*.f64 x x))) |
(+.f64 2 (*.f64 x (*.f64 x -1/2))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/24))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/720)))) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 2 x) |
(+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))) |
(fma.f64 -1/6 x (/.f64 2 x)) |
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) |
(fma.f64 -1/360 (pow.f64 x 3) (fma.f64 -1/6 x (/.f64 2 x))) |
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/15120 (pow.f64 x 5))))) |
(fma.f64 -1/360 (pow.f64 x 3) (+.f64 (fma.f64 -1/6 x (/.f64 2 x)) (*.f64 -1/15120 (pow.f64 x 5)))) |
(+.f64 (fma.f64 -1/360 (pow.f64 x 3) (fma.f64 -1/6 x (/.f64 2 x))) (*.f64 -1/15120 (pow.f64 x 5))) |
(/.f64 (+.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 -1 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x)))))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2)))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (cos.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) |
(*.f64 (tan.f64 (/.f64 x 2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2)))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) |
(*.f64 (tan.f64 (/.f64 x 2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 1 (neg.f64 (*.f64 x x)))) |
(/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (*.f64 x x))) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (neg.f64 x))) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) 1) (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2)))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) |
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(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (tan.f64 (/.f64 x 2))) (/.f64 1 (sin.f64 x))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (neg.f64 (sin.f64 x))) (/.f64 -1 (tan.f64 (/.f64 x 2)))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (/.f64 (sin.f64 x) 1)) (/.f64 1 (tan.f64 (/.f64 x 2)))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (*.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 (tan.f64 (/.f64 x 2))))) (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2))))) |
(pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2))) (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) -1) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) -1)) |
(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) -1)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (/.f64 -1 (tan.f64 (/.f64 x 2))))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (sin.f64 x))) (-.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (+.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) |
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (-.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (/.f64 (-.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (+.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (sin.f64 x))) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) 3))) (+.f64 1 (+.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (pow.f64 (cos.f64 x) 2)) (cos.f64 x)))) |
(*.f64 (+.f64 1 (+.f64 (cos.f64 x) (-.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (pow.f64 (cos.f64 x) 2)))) (/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) 3)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (/.f64 (+.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (-.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (pow.f64 (cos.f64 x) 2))))) |
(pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 1) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 3) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(pow.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 3) 1/3) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(pow.f64 (tan.f64 (/.f64 x 2)) -1) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (+.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 2)) |
(log.f64 (exp.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(cbrt.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 3)) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(exp.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2)))) 1)) |
(exp.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
Compiled 33906 to 19243 computations (43.2% saved)
18 alts after pruning (12 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1656 | 10 | 1666 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 6 | 9 |
| Total | 1662 | 18 | 1680 |
| Status | Error | Program |
|---|---|---|
| ▶ | 46.91% | (/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
| 47.5% | (/.f64 (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) (*.f64 x x)) | |
| 46.96% | (/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) | |
| ✓ | 48.43% | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| ▶ | 46.95% | (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
| 23.31% | (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 x (/.f64 1 x))) | |
| ✓ | 23.18% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| ▶ | 1.32% | (/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)) |
| 48.77% | (/.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x))))) | |
| ✓ | 48.78% | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
| ✓ | 51.01% | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 46.97% | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) | |
| ✓ | 23.58% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
| ✓ | 48.53% | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| ▶ | 73.83% | (*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
| ▶ | 47.77% | (*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (+.f64 -1 (cos.f64 x))) |
| 48.65% | (*.f64 1/2 (/.f64 (sin.f64 x) x)) | |
| 49.56% | 1/2 |
Compiled 329 to 235 computations (28.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1% | (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x) |
| ✓ | 0.21% | (/.f64 x (tan.f64 (*.f64 x 1/2))) |
| ✓ | 1.26% | (/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)) |
Compiled 37 to 23 computations (37.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x) |
| 0.0ms | x | @ | -inf | (/.f64 x (tan.f64 (*.f64 x 1/2))) |
| 0.0ms | x | @ | inf | (/.f64 x (tan.f64 (*.f64 x 1/2))) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x) |
| 0.0ms | x | @ | 0 | (/.f64 x (tan.f64 (*.f64 x 1/2))) |
| 1× | batch-egg-rewrite |
| 898× | unswap-sqr |
| 866× | swap-sqr |
| 828× | associate-/r/ |
| 494× | associate-/l/ |
| 422× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 73 |
| 1 | 234 | 73 |
| 2 | 3172 | 73 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)) |
(/.f64 x (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) -1/2) (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 1) (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))))) |
| 1× | egg-herbie |
| 826× | distribute-rgt-in |
| 818× | distribute-lft-in |
| 638× | *-commutative |
| 608× | distribute-lft-neg-in |
| 560× | distribute-rgt-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 443 | 6788 |
| 1 | 1223 | 6732 |
| 2 | 4410 | 6732 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
2 |
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/360 (pow.f64 x 4)))) |
(+.f64 (*.f64 -1/15120 (pow.f64 x 6)) (+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/360 (pow.f64 x 4))))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(*.f64 2 x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -1/360 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/360 (pow.f64 x 5)) (*.f64 -1/15120 (pow.f64 x 7))))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) 1) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 1 x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (tan.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) -1) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) 1)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x 1)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 (*.f64 x x) 1)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (*.f64 x (neg.f64 x))) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2))) (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2)) (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2)) (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) (sqrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 3) 1/6)) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) -1/2) (pow.f64 (/.f64 x (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) -1/2)) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1) |
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 3) 1/3) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) -1) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2)))) |
(neg.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2))) 1)) |
(neg.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2))))) |
(neg.f64 (*.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2))))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) 1) |
(*.f64 x (/.f64 1 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 1) |
(*.f64 1 (/.f64 x (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) x) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 x (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 x (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 x 1) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) (*.f64 x (cos.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 x (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 1 (neg.f64 (tan.f64 (*.f64 x 1/2)))) (neg.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 x) (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 x (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (/.f64 x 1) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))) (*.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3) 1/6)) |
(*.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) -1/2) (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) -1/2)) |
(pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 3) |
(pow.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3) 1/3) |
(pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) -1) |
(neg.f64 (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2)))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2))) 1)) |
(sqrt.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 2)) |
(log.f64 (exp.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))) |
(cbrt.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (log.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) 1) |
(/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(/.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 1) |
(/.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 x x) 1) (tan.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 1) |
(pow.f64 (/.f64 x (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 3) |
(pow.f64 (pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3) 1/3) |
(neg.f64 (*.f64 x (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) |
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(exp.f64 (log.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
2 |
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 2 (*.f64 -1/6 (*.f64 x x))) |
(fma.f64 -1/6 (*.f64 x x) 2) |
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/360 (pow.f64 x 4)))) |
(+.f64 2 (fma.f64 -1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/360))) |
(+.f64 2 (fma.f64 (pow.f64 x 4) -1/360 (*.f64 x (*.f64 x -1/6)))) |
(+.f64 (fma.f64 -1/6 (*.f64 x x) 2) (*.f64 (pow.f64 x 4) -1/360)) |
(+.f64 (*.f64 -1/15120 (pow.f64 x 6)) (+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/360 (pow.f64 x 4))))) |
(fma.f64 -1/15120 (pow.f64 x 6) (+.f64 2 (fma.f64 -1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/360)))) |
(+.f64 (fma.f64 (pow.f64 x 4) -1/360 (*.f64 x (*.f64 x -1/6))) (fma.f64 (pow.f64 x 6) -1/15120 2)) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 2 x) |
(*.f64 x 2) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 2 x)) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x 2)) |
(fma.f64 x 2 (*.f64 -1/6 (pow.f64 x 3))) |
(*.f64 x (fma.f64 -1/6 (*.f64 x x) 2)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -1/360 (pow.f64 x 5)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 2 x (*.f64 -1/360 (pow.f64 x 5)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 x 2 (*.f64 -1/360 (pow.f64 x 5)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/360 (pow.f64 x 5) (*.f64 x 2))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/360 (pow.f64 x 5)) (*.f64 -1/15120 (pow.f64 x 7))))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 2 x (fma.f64 -1/360 (pow.f64 x 5) (*.f64 -1/15120 (pow.f64 x 7))))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 x 2 (fma.f64 -1/360 (pow.f64 x 5) (*.f64 -1/15120 (pow.f64 x 7))))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) 1) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 1 x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (tan.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x)))) 2))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))) 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
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(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x))) |
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(exp.f64 (log.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x))) |
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1)) |
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x))) |
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x))) |
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.05% | (/.f64 -1 (*.f64 x x)) | |
| ✓ | 47.49% | (*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
Compiled 31 to 17 computations (45.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
| 1× | batch-egg-rewrite |
| 1014× | *-commutative |
| 1002× | associate-*r/ |
| 820× | associate-*l/ |
| 762× | unswap-sqr |
| 692× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 1 | 211 | 29 |
| 2 | 2600 | 25 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) 1) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (neg.f64 (pow.f64 x -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))))))) |
| 1× | egg-herbie |
| 1124× | associate-/l* |
| 712× | times-frac |
| 674× | associate-+r- |
| 634× | associate-+l- |
| 530× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 298 | 1888 |
| 1 | 880 | 1812 |
| 2 | 4939 | 1750 |
| 3 | 7223 | 1750 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) 1) |
(/.f64 -1 (/.f64 x (/.f64 x (/.f64 x (*.f64 x -1/2))))) |
(/.f64 x (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x -1/2))) |
(/.f64 (*.f64 x x) (/.f64 (*.f64 x (neg.f64 x)) -1/2)) |
(/.f64 -1/2 (*.f64 x (/.f64 x (*.f64 x (neg.f64 x))))) |
(/.f64 (*.f64 x -1/2) (/.f64 (*.f64 x (neg.f64 x)) x)) |
(/.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 1) |
(/.f64 1 (/.f64 x (/.f64 (*.f64 (*.f64 x x) 1/2) x))) |
(/.f64 (sqrt.f64 (*.f64 x -1/2)) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (sqrt.f64 (*.f64 x -1/2))))) |
(/.f64 (*.f64 x (sqrt.f64 -1/2)) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (sqrt.f64 -1/2)))) |
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (*.f64 x -1/2) (sqrt.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (cbrt.f64 (*.f64 x -1/2))))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (*.f64 x -1/2) (cbrt.f64 x)))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (*.f64 x (*.f64 x -1/2))))) |
(/.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x x)) |
(/.f64 (/.f64 -1 x) (/.f64 x (*.f64 x (*.f64 x -1/2)))) |
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2)) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (*.f64 x x) 1/2)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (*.f64 (*.f64 x x) 1/2))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 (*.f64 x x) 1/2)))) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2)) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (*.f64 x -1/2)))) |
(/.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 x))) |
(/.f64 (*.f64 -1 (*.f64 x -1/2)) (/.f64 (*.f64 x x) x)) |
(/.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1/2))) (/.f64 (*.f64 x x) (*.f64 x (sqrt.f64 -1/2)))) |
(/.f64 (*.f64 -1 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x (*.f64 x -1/2))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 x))) |
(/.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (*.f64 x -1/2)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (pow.f64 x -2)) -1) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) x) |
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (neg.f64 x) (/.f64 (*.f64 x x) (*.f64 x -1/2))) |
(/.f64 (/.f64 x (/.f64 x (*.f64 x -1/2))) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 x -1/2) (/.f64 x (neg.f64 x))) x) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 -1 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 -1 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) x)) (cbrt.f64 x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 1 x)) (neg.f64 x)) |
(/.f64 (*.f64 1 (/.f64 (*.f64 (*.f64 x x) 1/2) x)) x) |
(/.f64 (*.f64 1 (/.f64 (*.f64 x (neg.f64 x)) -2)) (*.f64 x x)) |
(/.f64 (*.f64 1 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) x) (sqrt.f64 (*.f64 (*.f64 x x) 1/2))) x) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x x) 1/2))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (/.f64 1 x)) x) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) 1) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) x) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (/.f64 -1 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) -1) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) 1) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 -1 x))) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 x 4))) (*.f64 x (*.f64 x -1/2))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 (/.f64 1 x) (*.f64 x (*.f64 x -1/2))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 -1 (*.f64 x (sqrt.f64 x))) (*.f64 x (*.f64 x -1/2))) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) x) (*.f64 x (*.f64 x -1/2))) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) 1) x) |
(/.f64 (*.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) 1) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) 1) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 1 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x))) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x))) x) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) (/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) x)) x) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 (/.f64 x (neg.f64 x)) (*.f64 x -1/2)) x) |
(/.f64 (*.f64 -1 (/.f64 x (/.f64 x (*.f64 x -1/2)))) x) |
(/.f64 (*.f64 1 (/.f64 x (/.f64 x (*.f64 x -1/2)))) (neg.f64 x)) |
(/.f64 (*.f64 1 (/.f64 x (/.f64 x (*.f64 x -1/2)))) (/.f64 x -1)) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (/.f64 x (/.f64 x (*.f64 x -1/2)))) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 x (/.f64 x (*.f64 x -1/2)))) (sqrt.f64 x)) |
(/.f64 (*.f64 -1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -1/2)))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) 1) (*.f64 x (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) 1) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) 1) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 1) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 3) 1/3) |
(neg.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (pow.f64 x -2))) |
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 4))) |
(log.f64 (exp.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (neg.f64 (pow.f64 x -2)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) |
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) |
| Outputs |
|---|
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) 1) |
1/2 |
(/.f64 -1 (/.f64 x (/.f64 x (/.f64 x (*.f64 x -1/2))))) |
1/2 |
(/.f64 x (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x -1/2))) |
1/2 |
(/.f64 (*.f64 x x) (/.f64 (*.f64 x (neg.f64 x)) -1/2)) |
1/2 |
(/.f64 -1/2 (*.f64 x (/.f64 x (*.f64 x (neg.f64 x))))) |
(/.f64 (/.f64 -1/2 x) (/.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 -1/2 (/.f64 x (neg.f64 x))) |
(*.f64 (/.f64 -1/2 x) (neg.f64 x)) |
(/.f64 (*.f64 x -1/2) (/.f64 (*.f64 x (neg.f64 x)) x)) |
1/2 |
(/.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (neg.f64 x))) |
1/2 |
(/.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 1) |
1/2 |
(/.f64 1 (/.f64 x (/.f64 (*.f64 (*.f64 x x) 1/2) x))) |
1/2 |
(/.f64 (sqrt.f64 (*.f64 x -1/2)) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (sqrt.f64 (*.f64 x -1/2))))) |
1/2 |
(/.f64 (*.f64 x (sqrt.f64 -1/2)) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (sqrt.f64 -1/2)))) |
1/2 |
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (*.f64 x -1/2) (sqrt.f64 x)))) |
1/2 |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (cbrt.f64 (*.f64 x -1/2))))) |
1/2 |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (*.f64 x -1/2) (cbrt.f64 x)))) |
1/2 |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 x (neg.f64 x))) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 x 1/2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) x) (*.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 x) 2) x))) |
(/.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) |
(/.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 (/.f64 x (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (neg.f64 x))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (*.f64 x (*.f64 x -1/2))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 x (neg.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (/.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) x) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x x)) |
1/2 |
(/.f64 (/.f64 -1 x) (/.f64 x (*.f64 x (*.f64 x -1/2)))) |
1/2 |
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2)) |
1/2 |
(/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (*.f64 x x) 1/2)))) |
1/2 |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (*.f64 (*.f64 x x) 1/2))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 (*.f64 x x) 1/2)))) |
1/2 |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2)) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (*.f64 x -1/2)))) |
1/2 |
(/.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 x))) |
1/2 |
(/.f64 (*.f64 -1 (*.f64 x -1/2)) (/.f64 (*.f64 x x) x)) |
1/2 |
(/.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1/2))) (/.f64 (*.f64 x x) (*.f64 x (sqrt.f64 -1/2)))) |
1/2 |
(/.f64 (*.f64 -1 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x (*.f64 x -1/2))))) |
(*.f64 (/.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (*.f64 x x)) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (/.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (/.f64 (sqrt.f64 -1) x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) x)) |
(/.f64 x (/.f64 (/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (/.f64 (sqrt.f64 -1) x)) (*.f64 x -1/2))) |
(/.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 x))) |
1/2 |
(/.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (*.f64 x -1/2)))) |
1/2 |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (pow.f64 x -2)) -1) |
1/2 |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
1/2 |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) x) |
1/2 |
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (*.f64 x x)) |
1/2 |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (neg.f64 x) (/.f64 (*.f64 x x) (*.f64 x -1/2))) |
1/2 |
(/.f64 (/.f64 x (/.f64 x (*.f64 x -1/2))) (neg.f64 x)) |
1/2 |
(/.f64 (*.f64 (*.f64 x -1/2) (/.f64 x (neg.f64 x))) x) |
1/2 |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 -1 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 -1 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) |
1/2 |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) x)) (cbrt.f64 x)) |
(/.f64 (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) x) (/.f64 (cbrt.f64 x) (*.f64 x (*.f64 x -1/2)))) |
(/.f64 (*.f64 x -1/2) (/.f64 (cbrt.f64 x) (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (*.f64 (/.f64 (cbrt.f64 x) x) -2)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 1 x)) (neg.f64 x)) |
1/2 |
(/.f64 (*.f64 1 (/.f64 (*.f64 (*.f64 x x) 1/2) x)) x) |
1/2 |
(/.f64 (*.f64 1 (/.f64 (*.f64 x (neg.f64 x)) -2)) (*.f64 x x)) |
1/2 |
(/.f64 (*.f64 1 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) x) (sqrt.f64 (*.f64 (*.f64 x x) 1/2))) x) |
1/2 |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x x) 1/2))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 x 4) 1/4))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) 1/4))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 1/4)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (/.f64 1 x)) x) |
1/2 |
(/.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) 1) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (/.f64 (sqrt.f64 -1) x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) x)) |
(/.f64 x (/.f64 (/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (/.f64 (sqrt.f64 -1) x)) (*.f64 x -1/2))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) x) |
1/2 |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (/.f64 -1 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 x (*.f64 (*.f64 x -1/2) (/.f64 (sqrt.f64 -1) x))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 -1 x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 -1 x))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 -1/2 (/.f64 (sqrt.f64 -1) x)))) (sqrt.f64 x)) (sqrt.f64 (/.f64 -1 x))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) -1) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 x (*.f64 (*.f64 x -1/2) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) -1)) |
(/.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 (*.f64 x (*.f64 1/2 x)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) 1) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 x (*.f64 (*.f64 x -1/2) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 -1 x))) (cbrt.f64 x)) |
(/.f64 (*.f64 x (*.f64 (*.f64 x -1/2) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 -1 x)))) |
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 -1 x))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) |
(/.f64 (*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 x 4))) (*.f64 x (*.f64 x -1/2))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (*.f64 (/.f64 1 x) (*.f64 x (*.f64 x -1/2))) (neg.f64 x)) |
1/2 |
(/.f64 (*.f64 (/.f64 -1 (*.f64 x (sqrt.f64 x))) (*.f64 x (*.f64 x -1/2))) (sqrt.f64 x)) |
1/2 |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) x) (*.f64 x (*.f64 x -1/2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) x) (/.f64 (cbrt.f64 x) (*.f64 x (*.f64 x -1/2)))) |
(/.f64 (*.f64 x -1/2) (/.f64 (cbrt.f64 x) (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (*.f64 (/.f64 (cbrt.f64 x) x) -2)) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) 1) x) |
1/2 |
(/.f64 (*.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) 1) (*.f64 x x)) |
1/2 |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) 1) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (*.f64 1 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x))) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (/.f64 (sqrt.f64 -1) x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) x)) |
(/.f64 x (/.f64 (/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (/.f64 (sqrt.f64 -1) x)) (*.f64 x -1/2))) |
(/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x))) x) |
1/2 |
(/.f64 (*.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x))) (sqrt.f64 x)) |
(/.f64 (*.f64 x (*.f64 (*.f64 x -1/2) (/.f64 (sqrt.f64 -1) x))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 -1 x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 -1 x))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 -1/2 (/.f64 (sqrt.f64 -1) x)))) (sqrt.f64 x)) (sqrt.f64 (/.f64 -1 x))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) (/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) x)) x) |
1/2 |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 x 4) 1/4))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) 1/4))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 1/4)) |
(/.f64 (*.f64 (/.f64 x (neg.f64 x)) (*.f64 x -1/2)) x) |
1/2 |
(/.f64 (*.f64 -1 (/.f64 x (/.f64 x (*.f64 x -1/2)))) x) |
1/2 |
(/.f64 (*.f64 1 (/.f64 x (/.f64 x (*.f64 x -1/2)))) (neg.f64 x)) |
1/2 |
(/.f64 (*.f64 1 (/.f64 x (/.f64 x (*.f64 x -1/2)))) (/.f64 x -1)) |
1/2 |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (/.f64 x (/.f64 x (*.f64 x -1/2)))) (cbrt.f64 x)) |
(/.f64 (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) x) (/.f64 (cbrt.f64 x) (*.f64 x (*.f64 x -1/2)))) |
(/.f64 (*.f64 x -1/2) (/.f64 (cbrt.f64 x) (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (*.f64 (/.f64 (cbrt.f64 x) x) -2)) |
(/.f64 (*.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 x (/.f64 x (*.f64 x -1/2)))) (sqrt.f64 x)) |
1/2 |
(/.f64 (*.f64 -1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -1/2)))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) 1) (*.f64 x (neg.f64 x))) |
1/2 |
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
1/2 |
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
1/2 |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
1/2 |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
1/2 |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) (sqrt.f64 x)) (sqrt.f64 x)) |
1/2 |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
1/2 |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
1/2 |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 x 1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) 1/2) (fabs.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 1/2 x) (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))))) |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) 1) (*.f64 x x)) |
1/2 |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
1/2 |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
1/2 |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
1/2 |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
1/2 |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) 1) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 x x) (/.f64 (cbrt.f64 (pow.f64 x 4)) 1/2)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 x 4))))) |
(*.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4))))) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 1) |
1/2 |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) x) 2) |
1/2 |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))) 3) |
1/2 |
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 3) 1/3) |
1/2 |
(neg.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (pow.f64 x -2))) |
1/2 |
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 4))) |
1/2 |
(log.f64 (exp.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) |
1/2 |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))))) |
1/2 |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 3)) |
1/2 |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (neg.f64 (pow.f64 x -2)) 3))) |
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8) (pow.f64 (neg.f64 (pow.f64 x -2)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -2) 3) (*.f64 1/8 (pow.f64 x 6)))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) |
1/2 |
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) |
1/2 |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) |
1/2 |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.12% | (/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
| ✓ | 0.27% | (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) |
| ✓ | 3.41% | (+.f64 1 (neg.f64 (cos.f64 x))) |
Compiled 29 to 13 computations (55.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) |
| 0.0ms | x | @ | 0 | (+.f64 1 (neg.f64 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
| 1× | batch-egg-rewrite |
| 1674× | associate-/l* |
| 962× | *-commutative |
| 698× | associate-/r/ |
| 668× | associate-/l/ |
| 382× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 51 |
| 1 | 213 | 51 |
| 2 | 3018 | 51 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (neg.f64 (cos.f64 x))) |
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (cbrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (neg.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1))) (neg.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (+.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (+.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (+.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) 1) (/.f64 1 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 (cos.f64 x) 2) 1)) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (-.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 x) 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x))) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (/.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (cos.f64 x)) (log.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1180× | associate-*r* |
| 1178× | associate-*l* |
| 882× | associate-/l* |
| 694× | associate-*r/ |
| 664× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 487 | 7601 |
| 1 | 1464 | 7297 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (+.f64 1 (cos.f64 x)) 0) |
(-.f64 0 (+.f64 (cos.f64 x) -1)) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (cos.f64 x)))) 1) |
(-.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))) |
(-.f64 (+.f64 2 (cos.f64 x)) 1) |
(*.f64 1 (+.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 1 (cos.f64 x)) 1) |
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 (cos.f64 x)))))) |
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (+.f64 1 (cos.f64 x)))))) |
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 -1 (+.f64 (cos.f64 x) -1)) |
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (neg.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1))) (neg.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) 1) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)))) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 (cos.f64 x) 2) 1)) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (-.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 1)))) |
(*.f64 (/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (-.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 1)))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1))) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 2) x) (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 (+.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (+.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x 1)) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3) |
(pow.f64 (/.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))) -1) |
(neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x)))) |
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x))) |
(neg.f64 (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x))) 1)) |
(neg.f64 (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (/.f64 1 (neg.f64 x)))) |
(neg.f64 (*.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x))))) |
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(exp.f64 (-.f64 (log1p.f64 (cos.f64 x)) (log.f64 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5))))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/720))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/720)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (+.f64 1 (cos.f64 x)) 0) |
(+.f64 1 (cos.f64 x)) |
(-.f64 0 (+.f64 (cos.f64 x) -1)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (cos.f64 x)))) 1) |
(+.f64 1 (cos.f64 x)) |
(-.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))) |
(-.f64 (+.f64 2 (cos.f64 x)) 1) |
(+.f64 1 (cos.f64 x)) |
(*.f64 1 (+.f64 1 (cos.f64 x))) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (+.f64 1 (cos.f64 x)) 1) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 (cos.f64 x)))))) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (+.f64 1 (cos.f64 x)))))) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(*.f64 -1 (+.f64 (cos.f64 x) -1)) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (neg.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)))) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1))) (neg.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (neg.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1))))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))))) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))))) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) 1) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (+.f64 1 (cos.f64 x))) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 -1 (pow.f64 (cos.f64 x) 2)) (/.f64 (-.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)))) (+.f64 (cos.f64 x) -1)) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) -1)) (+.f64 -1 (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
(+.f64 1 (*.f64 (cos.f64 x) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (-.f64 -1 (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 -1 (pow.f64 (cos.f64 x) 2)) (/.f64 (-.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 (cos.f64 x) 2) 1)) (+.f64 (cos.f64 x) -1)) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 (pow.f64 (cos.f64 x) 2) -1))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 -1 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (-.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 1)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (+.f64 (pow.f64 (cos.f64 x) 2) -1))))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (+.f64 -1 (pow.f64 (cos.f64 x) 2)))))) |
(*.f64 (/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (cos.f64 x))) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 -1 (pow.f64 (cos.f64 x) 2)) (/.f64 (-.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (-.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 1)))) |
(*.f64 (+.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (+.f64 (pow.f64 (cos.f64 x) 2) -1)))) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3)))) |
(*.f64 (+.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (+.f64 -1 (pow.f64 (cos.f64 x) 2))))) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3)))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1))) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1))) (neg.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (neg.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
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(/.f64 (+.f64 1 (cos.f64 x)) x) |
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(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
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(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) x)) |
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(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 (+.f64 1 (cos.f64 x)) x)) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) |
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(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (+.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x))) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 (cos.f64 x) -1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x 1)) (+.f64 1 (cos.f64 x))) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) 3) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (/.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))) -1) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x)))) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x))) 1)) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (/.f64 1 (neg.f64 x)))) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (*.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x))))) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) 2)) |
(fabs.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(log.f64 (exp.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) 3)) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3))) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) |
(exp.f64 (-.f64 (log1p.f64 (cos.f64 x)) (log.f64 (*.f64 x x)))) |
(exp.f64 (-.f64 (log1p.f64 (cos.f64 x)) (*.f64 2 (log.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.12% | (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
| ✓ | 0.39% | (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) |
| 3.41% | (+.f64 -1 (cos.f64 x)) |
Compiled 30 to 18 computations (40% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
| 1× | batch-egg-rewrite |
| 1724× | associate-/l* |
| 1122× | *-commutative |
| 718× | associate-/r/ |
| 588× | associate-/l/ |
| 486× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 52 |
| 1 | 219 | 48 |
| 2 | 3010 | 48 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 1 (*.f64 (cos.f64 x) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (/.f64 -1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (cos.f64 x) (/.f64 -1 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 x)) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 x (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 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#<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1160× | unswap-sqr |
| 564× | associate-/r* |
| 518× | distribute-lft-neg-in |
| 518× | associate-/l* |
| 452× | distribute-rgt-neg-out |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 406 | 5859 |
| 1 | 1203 | 5075 |
| 2 | 4802 | 5075 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(+.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x))) |
(+.f64 (/.f64 1 x) (*.f64 1 (*.f64 (cos.f64 x) (/.f64 -1 x)))) |
(+.f64 (/.f64 1 x) (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 x)) 1)) |
(+.f64 (*.f64 (cos.f64 x) (/.f64 -1 x)) (/.f64 1 x)) |
(+.f64 (*.f64 1 (*.f64 (cos.f64 x) (/.f64 -1 x))) (/.f64 1 x)) |
(+.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 x)) 1) (/.f64 1 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) 1) |
(/.f64 -1 (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(/.f64 -1 (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 -1 (/.f64 (+.f64 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 -1 x) (/.f64 1 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 1) |
(/.f64 1 (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) |
(/.f64 1 (/.f64 (neg.f64 x) (+.f64 -1 (cos.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 1 (*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 1 (*.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (/.f64 -1 x))))) |
(/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 x (*.f64 -1 (sqrt.f64 (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 1 (*.f64 (/.f64 -1 x) (sqrt.f64 (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 1 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (cbrt.f64 x))))) |
(/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (/.f64 1 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))))) |
(/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 (neg.f64 x) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 x (*.f64 -1 (cbrt.f64 (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 1 (*.f64 (/.f64 -1 x) (cbrt.f64 (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) |
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (/.f64 x 1)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) -1)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 -1 (cos.f64 x)) (/.f64 -1 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) 1)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 1 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (neg.f64 x) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) -1)) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 -1 x))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)) 1)) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 1 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (/.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x))))) (/.f64 x (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (/.f64 -1 x))) (*.f64 1 (sqrt.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (/.f64 1 (/.f64 -1 (cbrt.f64 x)))) |
(/.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (/.f64 1 (sqrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (*.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 x (-.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 x) (neg.f64 (-.f64 -1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 1 (*.f64 x (-.f64 -1 (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (*.f64 (neg.f64 x) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (*.f64 1 (+.f64 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (*.f64 (/.f64 -1 x) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 -1 x) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 (neg.f64 x) (-.f64 (sqrt.f64 (cos.f64 x)) 1))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)) (-.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) 1) (*.f64 (neg.f64 x) (-.f64 (cos.f64 x) -1))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (-.f64 (pow.f64 (cos.f64 x) 3) -1))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) -1)) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (/.f64 -1 (cbrt.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) (sin.f64 x))) |
(pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 x) 3) (pow.f64 (+.f64 -1 (cos.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 x)) (/.f64 1 x))) |
(+.f64 (*.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x))) (/.f64 1 (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 x)) (/.f64 1 x)) (/.f64 1 (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) 1) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x)) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) (/.f64 1 x)) |
(*.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 1) |
(*.f64 1 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) x) (/.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(*.f64 (/.f64 1 x) (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 -1 x)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 x)) (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (neg.f64 x) (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (cbrt.f64 x) (neg.f64 x)))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (neg.f64 x) (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (cbrt.f64 x) (neg.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 x)) (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 -1 (*.f64 x (cbrt.f64 x))) (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 -1 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) x) (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) x)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (sqrt.f64 (/.f64 -1 x)))) (sqrt.f64 (/.f64 -1 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) x) (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) (/.f64 -1 (cbrt.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2))) (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (*.f64 x (neg.f64 x))) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 3) 1/3) |
(pow.f64 (*.f64 x (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) -1) |
(neg.f64 (neg.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 1 x))) |
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x))) |
(neg.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) 1)) |
(neg.f64 (*.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x)) |
(fma.f64 1/2 x (*.f64 -1/24 (pow.f64 x 3))) |
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/720 (pow.f64 x 5) (*.f64 1/2 x))) |
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1/2 |
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(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(+.f64 (*.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x))) (/.f64 1 (*.f64 x x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(+.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 x)) (/.f64 1 x)) (/.f64 1 (*.f64 x x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) 1) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) (/.f64 1 x)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 1) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 1 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) x)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) x) (/.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) x)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) 2)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 1 x) (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 -1 x)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 x)) (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (neg.f64 x) (sqrt.f64 x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (cbrt.f64 x) (neg.f64 x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (neg.f64 x) (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (cbrt.f64 x) (neg.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 x)) (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 -1 (*.f64 x (cbrt.f64 x))) (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 -1 x) (sqrt.f64 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (*.f64 x (cbrt.f64 x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) x) (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (cbrt.f64 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) x)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) 1)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (sqrt.f64 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (sqrt.f64 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (sqrt.f64 (/.f64 -1 x)))) (sqrt.f64 (/.f64 -1 x))) |
(*.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (sqrt.f64 (/.f64 -1 x))))) |
(*.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 (+.f64 -1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) x) (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) (/.f64 -1 (cbrt.f64 x))) |
(*.f64 (/.f64 -1 (cbrt.f64 x)) (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2))) (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (*.f64 x (neg.f64 x))) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 1) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) x) 2) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) 3) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(pow.f64 (*.f64 x (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) -1) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(neg.f64 (neg.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(neg.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 1 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(neg.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) 1)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(neg.f64 (*.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2)) |
(fabs.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) |
(log.f64 (exp.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 3)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 3) (pow.f64 x 3))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(exp.f64 (log.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.46% | (*.f64 (/.f64 1 x) (/.f64 -1 x)) |
| 3.41% | (+.f64 -1 (cos.f64 x)) | |
| ✓ | 23.26% | (*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (+.f64 -1 (cos.f64 x))) |
Compiled 35 to 23 computations (34.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (+.f64 -1 (cos.f64 x))) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (+.f64 -1 (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (+.f64 -1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 x) (/.f64 -1 x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 x) (/.f64 -1 x)) |
| 1× | batch-egg-rewrite |
| 1046× | *-commutative |
| 930× | unswap-sqr |
| 678× | associate-/r* |
| 670× | associate-/l* |
| 600× | swap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 42 |
| 1 | 259 | 30 |
| 2 | 3520 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 1 x) (/.f64 -1 x)) |
| Outputs |
|---|
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-2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -2) -1 (*.f64 (cos.f64 x) (pow.f64 x -2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (*.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 x (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (*.f64 x (sqrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (*.f64 x (cbrt.f64 x)) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (/.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 x -1/2)) (/.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 (*.f64 x (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (/.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (cbrt.f64 (pow.f64 x -2)))) (/.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (cbrt.f64 (pow.f64 x -2))) (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (pow.f64 x -1/2)) (*.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 x -1/2) x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 x -1/2) x) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sqrt.f64 x) -1) (/.f64 x (pow.f64 (sqrt.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (/.f64 x (pow.f64 (cbrt.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (pow.f64 x -1/2) x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (pow.f64 x -1/2) x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (pow.f64 x -1/2) x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) 1) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x -1/2)) (*.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 x -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2))))))) |
| 1× | egg-herbie |
| 564× | associate-+r+ |
| 534× | associate-/l* |
| 502× | associate-*r* |
| 482× | associate-/r* |
| 414× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 391 | 5671 |
| 1 | 1037 | 5135 |
| 2 | 4547 | 5037 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(+.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(+.f64 (pow.f64 x -2) (*.f64 -1 (*.f64 (cos.f64 x) (pow.f64 x -2)))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2)))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 x -2))))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (sqrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))) (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))) (cbrt.f64 (pow.f64 x -2)))) |
(+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2)) |
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) (+.f64 1 (*.f64 (cos.f64 x) (pow.f64 x -2)))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 x -2)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))))) 1) |
(-.f64 (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (exp.f64 (log1p.f64 (pow.f64 x -2)))) 1) |
(/.f64 1 (/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x))) |
(/.f64 -1 (/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x))) |
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))) |
(/.f64 -1 (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 -1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (/.f64 1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 1 x) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 (/.f64 1 x) (/.f64 (+.f64 x (*.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))) 1) |
(/.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))) -1) |
(/.f64 (pow.f64 x -1/2) (/.f64 x (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -1/2)))) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 1 (cbrt.f64 x))))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x) |
(/.f64 (pow.f64 x -2) (/.f64 1 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 -1 (cos.f64 x)) (pow.f64 x -2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) -1)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (/.f64 1 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 x (*.f64 x (-.f64 -1 (cos.f64 x))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))) (pow.f64 x -2))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))) -1)) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 x (*.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) x)) (/.f64 1 x))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (+.f64 x (*.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) x)))) |
(/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (/.f64 x (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))) (/.f64 x (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)))) |
(/.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (pow.f64 x -2) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))) |
(/.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x (-.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 x (*.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) x))) |
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (pow.f64 x -1/2)) (/.f64 x (*.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (pow.f64 x -1/2)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x -2) 2) (*.f64 (pow.f64 (pow.f64 x -2) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) 3)) (+.f64 (pow.f64 (pow.f64 x -2) 2) (*.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))) (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (*.f64 x (*.f64 x (-.f64 -1 (cos.f64 x))))) |
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 x x) (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))))) |
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3))) (*.f64 x (+.f64 x (*.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) x)))) |
(/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) 1) (-.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 -1 (cos.f64 x)))) (sqrt.f64 (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (cbrt.f64 (-.f64 -1 (cos.f64 x))) (cbrt.f64 (-.f64 -1 (cos.f64 x))))) (cbrt.f64 (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) 1) (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))))) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sin.f64 x))) x) (-.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) x) (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (*.f64 x x)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3))) (*.f64 x x)) (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (-.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))) (*.f64 x x)) |
(pow.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))) 3) 1/3) |
(neg.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))) 2)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (+.f64 -1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) (pow.f64 (pow.f64 x -2) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))))) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))))) |
(fma.f64 -1 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(fma.f64 (pow.f64 x -2) -1 (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1) |
(/.f64 1 (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 1 x) x) |
(/.f64 (pow.f64 x -1/2) (*.f64 x (sqrt.f64 x))) |
(/.f64 (sqrt.f64 -1) (*.f64 x x)) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 x (cbrt.f64 (pow.f64 x -2)))) |
(/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (*.f64 x (sqrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))) |
(/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (*.f64 x (cbrt.f64 x)) (/.f64 1 (cbrt.f64 x)))) |
(/.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 (pow.f64 x -2) 1) |
(/.f64 (pow.f64 x -2) -1) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (/.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 x -2))))) |
(/.f64 (sqrt.f64 (pow.f64 x -1/2)) (/.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 (pow.f64 x -1/2)))) |
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (cbrt.f64 x))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 (*.f64 x (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (pow.f64 x -2))))) |
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (/.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))) |
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (cbrt.f64 (pow.f64 x -2)))) (/.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))) |
(/.f64 (*.f64 -1 (cbrt.f64 (pow.f64 x -2))) (*.f64 x (cbrt.f64 x))) |
(/.f64 (*.f64 -1 (pow.f64 x -1/2)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (/.f64 (pow.f64 x -1/2) x) (sqrt.f64 x)) |
(/.f64 (/.f64 (pow.f64 x -1/2) x) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (cbrt.f64 x)) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (pow.f64 (sqrt.f64 x) -1) (/.f64 x (pow.f64 (sqrt.f64 x) -1))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (/.f64 x (pow.f64 (cbrt.f64 x) -1))) |
(/.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 1 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (pow.f64 x -1/2) x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (pow.f64 x -1/2) x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (pow.f64 x -1/2) x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) 1) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (pow.f64 x -1/2)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (*.f64 x (cbrt.f64 x))) |
(pow.f64 x -2) |
(pow.f64 (/.f64 1 x) 2) |
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3) |
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3) |
(pow.f64 (*.f64 x x) -1) |
(pow.f64 (pow.f64 x -2) 1) |
(neg.f64 (pow.f64 x -2)) |
(sqrt.f64 (pow.f64 (pow.f64 x -2) 2)) |
(log.f64 (exp.f64 (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2)))) |
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 x -2))) |
(exp.f64 (log.f64 (pow.f64 x -2))) |
(log1p.f64 (expm1.f64 (pow.f64 x -2))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(+.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1)) |
(+.f64 (pow.f64 x -2) (*.f64 -1 (*.f64 (cos.f64 x) (pow.f64 x -2)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2)))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))))) |
(*.f64 (+.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x)))) 1) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 x -2))))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))))) |
(*.f64 (+.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) 1) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (sqrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))) (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))) (cbrt.f64 (pow.f64 x -2)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1)) |
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) (+.f64 1 (*.f64 (cos.f64 x) (pow.f64 x -2)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 x -2)))) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))))) 1) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1)) |
(-.f64 (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (exp.f64 (log1p.f64 (pow.f64 x -2)))) 1) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1)) |
(/.f64 1 (/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x))) |
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (+.f64 -1 (cos.f64 x))) |
(/.f64 -1 (/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 -1 (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 -1 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (/.f64 (-.f64 -1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (/.f64 -1 (*.f64 x x)) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1) (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 -1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
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(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 x (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 x (cbrt.f64 (sqrt.f64 x))))) |
(/.f64 (neg.f64 (pow.f64 x -1/2)) (*.f64 x (sqrt.f64 x))) |
(neg.f64 (/.f64 (pow.f64 x -1/2) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (neg.f64 (/.f64 (pow.f64 x -1/2) x)) (sqrt.f64 x)) |
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (*.f64 x (cbrt.f64 x))) |
(pow.f64 x -2) |
(pow.f64 (/.f64 1 x) 2) |
(pow.f64 x -2) |
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3) |
(pow.f64 x -2) |
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3) |
(pow.f64 x -2) |
(pow.f64 (*.f64 x x) -1) |
(pow.f64 x -2) |
(pow.f64 (pow.f64 x -2) 1) |
(pow.f64 x -2) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (*.f64 x x)) |
(sqrt.f64 (pow.f64 (pow.f64 x -2) 2)) |
(sqrt.f64 (pow.f64 x -4)) |
(log.f64 (exp.f64 (pow.f64 x -2))) |
(pow.f64 x -2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2)))) |
(pow.f64 x -2) |
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3)) |
(pow.f64 x -2) |
(expm1.f64 (log1p.f64 (pow.f64 x -2))) |
(pow.f64 x -2) |
(exp.f64 (log.f64 (pow.f64 x -2))) |
(pow.f64 x -2) |
(log1p.f64 (expm1.f64 (pow.f64 x -2))) |
(pow.f64 x -2) |
Compiled 26606 to 16226 computations (39% saved)
26 alts after pruning (19 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1447 | 14 | 1461 |
| Fresh | 2 | 5 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 7 | 10 |
| Total | 1453 | 26 | 1479 |
| Status | Error | Program |
|---|---|---|
| 46.91% | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) | |
| 72.15% | (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) x) | |
| 72.24% | (/.f64 (/.f64 -1/2 x) (/.f64 x (*.f64 x (neg.f64 x)))) | |
| 46.96% | (/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) | |
| 47.17% | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) | |
| ✓ | 48.43% | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 72.24% | (/.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (/.f64 1 x)) x) | |
| 23.31% | (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 x (/.f64 1 x))) | |
| ✓ | 23.18% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 72.15% | (/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2)) | |
| 48.25% | (/.f64 (*.f64 x -1/2) (/.f64 (*.f64 x (neg.f64 x)) x)) | |
| ✓ | 1.32% | (/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)) |
| 25.24% | (/.f64 (sin.f64 x) (*.f64 (+.f64 2 (*.f64 -1/6 (*.f64 x x))) x)) | |
| 48.65% | (/.f64 (sin.f64 x) (*.f64 x 2)) | |
| 72.16% | (/.f64 1 (/.f64 x (/.f64 (*.f64 (*.f64 x x) 1/2) x))) | |
| 48.77% | (/.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x))))) | |
| 48.6% | (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| 48.79% | (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x)))) | |
| ✓ | 51.01% | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 46.97% | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) | |
| ✓ | 23.58% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
| 49.66% | (*.f64 (/.f64 -1/2 x) (neg.f64 x)) | |
| ✓ | 48.53% | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| ✓ | 73.83% | (*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
| 73.99% | (*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (*.f64 x (*.f64 x -1/2))) | |
| 49.56% | 1/2 |
Compiled 286 to 195 computations (31.8% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 -1/2 x) (neg.f64 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) x) |
(/.f64 (*.f64 x -1/2) (/.f64 (*.f64 x (neg.f64 x)) x)) |
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2)) |
(/.f64 (/.f64 -1/2 x) (/.f64 x (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(/.f64 1 (/.f64 x (/.f64 (*.f64 (*.f64 x x) 1/2) x))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (/.f64 1 x)) x) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 1/2 (/.f64 (sin.f64 x) x)) |
(/.f64 (sin.f64 x) (*.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (+.f64 -1 (cos.f64 x))) |
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 2 (*.f64 -1/6 (*.f64 x x))) x)) |
(/.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x)))) |
(/.f64 (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 x (/.f64 1 x))) |
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) (*.f64 x x)) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (+.f64 1 (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2))) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
2 calls:
| 218.0ms | x |
| 6.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.18% | 1 | x |
| 0.18% | 1 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 509 to 273 computations (46.4% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 -1/2 x) (neg.f64 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) x) |
(/.f64 (*.f64 x -1/2) (/.f64 (*.f64 x (neg.f64 x)) x)) |
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2)) |
(/.f64 (/.f64 -1/2 x) (/.f64 x (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(/.f64 1 (/.f64 x (/.f64 (*.f64 (*.f64 x x) 1/2) x))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (/.f64 1 x)) x) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 1/2 (/.f64 (sin.f64 x) x)) |
(/.f64 (sin.f64 x) (*.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (+.f64 -1 (cos.f64 x))) |
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 2 (*.f64 -1/6 (*.f64 x x))) x)) |
(/.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x)))) |
(/.f64 (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 2 (*.f64 -1/6 (*.f64 x x))) x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
2 calls:
| 75.0ms | x |
| 9.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.46% | 3 | x |
| 1.7% | 2 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 318 to 171 computations (46.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.0008527657738340497 | 0.22660103141596963 |
| 19.0ms | -120.71934237496176 | -2.705904132853848e-5 |
| 31.0ms | 272× | body | 256 | valid |
Compiled 421 to 298 computations (29.2% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 -1/2 x) (neg.f64 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) x) |
(/.f64 (*.f64 x -1/2) (/.f64 (*.f64 x (neg.f64 x)) x)) |
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2)) |
(/.f64 (/.f64 -1/2 x) (/.f64 x (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(/.f64 1 (/.f64 x (/.f64 (*.f64 (*.f64 x x) 1/2) x))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (/.f64 1 x)) x) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 1/2 (/.f64 (sin.f64 x) x)) |
(/.f64 (sin.f64 x) (*.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (+.f64 -1 (cos.f64 x))) |
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
2 calls:
| 30.0ms | x |
| 11.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.47% | 3 | x |
| 1.88% | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 222 to 121 computations (45.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.0008527657738340497 | 0.22660103141596963 |
| 19.0ms | -120.71934237496176 | -2.705904132853848e-5 |
| 33.0ms | 272× | body | 256 | valid |
Compiled 336 to 247 computations (26.5% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 -1/2 x) (neg.f64 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) x) |
(/.f64 (*.f64 x -1/2) (/.f64 (*.f64 x (neg.f64 x)) x)) |
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2)) |
(/.f64 (/.f64 -1/2 x) (/.f64 x (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(/.f64 1 (/.f64 x (/.f64 (*.f64 (*.f64 x x) 1/2) x))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (/.f64 1 x)) x) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 1/2 (/.f64 (sin.f64 x) x)) |
(/.f64 (sin.f64 x) (*.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
2 calls:
| 21.0ms | x |
| 8.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 1.31% | 3 | x |
| 1.89% | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 131 to 72 computations (45% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.0008527657738340497 | 0.22660103141596963 |
| 19.0ms | -120.71934237496176 | -2.705904132853848e-5 |
| 30.0ms | 272× | body | 256 | valid |
Compiled 336 to 247 computations (26.5% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 -1/2 x) (neg.f64 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) x) |
(/.f64 (*.f64 x -1/2) (/.f64 (*.f64 x (neg.f64 x)) x)) |
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2)) |
(/.f64 (/.f64 -1/2 x) (/.f64 x (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(/.f64 1 (/.f64 x (/.f64 (*.f64 (*.f64 x x) 1/2) x))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (/.f64 1 x)) x) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 1/2 (/.f64 (sin.f64 x) x)) |
(/.f64 (sin.f64 x) (*.f64 x 2)) |
| Outputs |
|---|
(/.f64 (*.f64 x -1/2) (/.f64 (*.f64 x (neg.f64 x)) x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (*.f64 x -1/2) (/.f64 (*.f64 x (neg.f64 x)) x)) |
1 calls:
| 19.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 25.47% | 3 | x |
Compiled 114 to 62 computations (45.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.22660103141596963 | 801060.3751097448 |
| 19.0ms | -120.71934237496176 | -2.705904132853848e-5 |
| 34.0ms | 288× | body | 256 | valid |
Compiled 391 to 279 computations (28.6% saved)
Total -15.1b remaining (-47.6%)
Threshold costs -15.1b (-47.6%)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 -1/2 x) (neg.f64 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) x) |
| Outputs |
|---|
1/2 |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 49.56% | 1 | x |
Compiled 26 to 16 computations (38.5% saved)
| 1× | egg-herbie |
| 22× | *-commutative |
| 14× | +-commutative |
| 8× | sub-neg |
| 8× | neg-mul-1 |
| 8× | if-if-or-not |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 324 |
| 1 | 85 | 324 |
| 2 | 94 | 324 |
| 3 | 101 | 324 |
| 4 | 105 | 324 |
| 5 | 106 | 324 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(if (<=.f64 x -208967022709991/36028797018963968) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 208967022709991/36028797018963968) (/.f64 (sin.f64 x) (*.f64 (+.f64 2 (*.f64 -1/6 (*.f64 x x))) x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -3170534137668829/576460752303423488) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -3170534137668829/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(if (<=.f64 x -3602879701896397/1125899906842624) (/.f64 (*.f64 x -1/2) (/.f64 (*.f64 x (neg.f64 x)) x)) (if (<=.f64 x 3602879701896397/1125899906842624) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (*.f64 x -1/2) (/.f64 (*.f64 x (neg.f64 x)) x)))) |
1/2 |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(if (<=.f64 x -208967022709991/36028797018963968) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 208967022709991/36028797018963968) (/.f64 (sin.f64 x) (*.f64 (+.f64 2 (*.f64 -1/6 (*.f64 x x))) x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (or (<=.f64 x -208967022709991/36028797018963968) (not (<=.f64 x 208967022709991/36028797018963968))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (/.f64 (sin.f64 x) (*.f64 x (+.f64 2 (*.f64 -1/6 (*.f64 x x)))))) |
(if (<=.f64 x -3170534137668829/576460752303423488) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (or (<=.f64 x -3170534137668829/576460752303423488) (not (<=.f64 x 1498797955988901/288230376151711744))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (+.f64 1/2 (*.f64 (*.f64 x x) -1/24))) |
(if (<=.f64 x -3170534137668829/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(if (or (<=.f64 x -3170534137668829/576460752303423488) (not (<=.f64 x 1498797955988901/288230376151711744))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (+.f64 1/2 (*.f64 (*.f64 x x) -1/24))) |
(if (<=.f64 x -3602879701896397/1125899906842624) (/.f64 (*.f64 x -1/2) (/.f64 (*.f64 x (neg.f64 x)) x)) (if (<=.f64 x 3602879701896397/1125899906842624) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (*.f64 x -1/2) (/.f64 (*.f64 x (neg.f64 x)) x)))) |
(if (or (<=.f64 x -3602879701896397/1125899906842624) (not (<=.f64 x 3602879701896397/1125899906842624))) (/.f64 (*.f64 x -1/2) (/.f64 (*.f64 x (neg.f64 x)) x)) (+.f64 1/2 (*.f64 (*.f64 x x) -1/24))) |
1/2 |
Compiled 121 to 85 computations (29.8% saved)
| 1× | egg-herbie |
| 552× | div-sub |
| 432× | associate-/l* |
| 432× | associate-+r+ |
| 390× | associate-+l+ |
| 370× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 321 | 5119 |
| 1 | 890 | 4897 |
| 2 | 3946 | 4843 |
| 1× | node limit |
Compiled 74 to 35 computations (52.7% saved)
Compiled 116 to 74 computations (36.2% saved)
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