Time bar (total: 11.5s)
| 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 | 2037× | body | 2048 | valid |
| 438.0ms | 1177× | body | 1024 | valid |
| 351.0ms | 3379× | body | 256 | valid |
| 347.0ms | 1580× | body | 512 | valid |
| 47.0ms | 83× | 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 |
|---|---|---|
| ▶ | 30.4b | (/.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 |
|---|---|---|
| ✓ | 1.1b | (-.f64 1 (cos.f64 x)) |
| ✓ | 15.9b | (/.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)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 182 | 16 | 198 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 182 | 17 | 199 |
| Status | Error | Program |
|---|---|---|
| 29.5b | (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) | |
| ▶ | 29.9b | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
| 30.4b | (/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 1 (cos.f64 x))))) (*.f64 x x)) | |
| 30.5b | (/.f64 (/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 1 (cos.f64 x))) (*.f64 x x)) | |
| ▶ | 16.4b | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
| 30.4b | (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) | |
| ✓ | 30.4b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| ▶ | 30.4b | (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
| 16.4b | (/.f64 (*.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 x x)) | |
| ▶ | 16.2b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 30.4b | (/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) | |
| ▶ | 33.0b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 30.0b | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) | |
| 29.5b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) | |
| 30.4b | (*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) | |
| 30.4b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) | |
| 32.0b | 1/2 |
Compiled 435 to 304 computations (30.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sin.f64 x) |
| ✓ | 0.2b | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| ✓ | 15.7b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
Compiled 33 to 18 computations (45.5% saved)
9 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 | 59 |
| 1 | 239 | 59 |
| 2 | 3327 | 59 |
| 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))) |
(sin.f64 x) |
| Outputs |
|---|
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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))))))))) |
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 x) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 x) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 x))))))) |
| 1× | egg-herbie |
| 1576× | distribute-rgt-in |
| 1572× | distribute-lft-in |
| 1424× | associate-/r/ |
| 696× | associate-*l* |
| 652× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 344 | 5656 |
| 1 | 897 | 5396 |
| 2 | 4503 | 5396 |
| 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))) |
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) 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))))) |
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1) |
(*.f64 (sin.f64 x) 1) |
(*.f64 1 (sin.f64 x)) |
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 x) 3) 1/6)) |
(pow.f64 (sin.f64 x) 1) |
(pow.f64 (sqrt.f64 (sin.f64 x)) 2) |
(pow.f64 (cbrt.f64 (sin.f64 x)) 3) |
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3) |
(sqrt.f64 (pow.f64 (sin.f64 x) 2)) |
(log.f64 (exp.f64 (sin.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x)))) |
(cbrt.f64 (pow.f64 (sin.f64 x) 3)) |
(expm1.f64 (log1p.f64 (sin.f64 x))) |
(exp.f64 (log.f64 (sin.f64 x))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1)) |
(log1p.f64 (expm1.f64 (sin.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 (+.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 (*.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 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 (*.f64 1/2 x))))) (sin.f64 (*.f64 1/2 x))) |
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(*.f64 x (*.f64 1/2 x)) |
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(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
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(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
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(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))))) |
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(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))) |
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
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(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x)) |
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(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x))) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.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 (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 (sin.f64 x)) (sqrt.f64 x)) (/.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))) (/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (sin.f64 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 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(*.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 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(*.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 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (neg.f64 (tan.f64 (*.f64 1/2 x)))) |
(*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (*.f64 x x))))) |
(*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (*.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)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (neg.f64 (tan.f64 (*.f64 1/2 x)))) |
(*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (*.f64 x x))))) |
(*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x (neg.f64 x))))) |
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 x (neg.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (neg.f64 (tan.f64 (*.f64 1/2 x)))) |
(*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (*.f64 x x))))) |
(*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (*.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))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (neg.f64 (tan.f64 (*.f64 1/2 x)))) |
(*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (*.f64 x x))))) |
(*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x (neg.f64 x))))) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (neg.f64 (tan.f64 (*.f64 1/2 x)))) |
(*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (*.f64 x x))))) |
(*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x (neg.f64 x))))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (neg.f64 (tan.f64 (*.f64 1/2 x)))) |
(*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (*.f64 x x))))) |
(*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x (neg.f64 x))))) |
(neg.f64 (/.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) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(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 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) |
(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 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 6))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 3) (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(-.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 x) (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)))) |
(*.f64 (/.f64 (sin.f64 x) (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))) |
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1) |
(sin.f64 x) |
(*.f64 (sin.f64 x) 1) |
(sin.f64 x) |
(*.f64 1 (sin.f64 x)) |
(sin.f64 x) |
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(sin.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x)))) |
(sin.f64 x) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
(sin.f64 x) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x))))) |
(sin.f64 x) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 3/2)) |
(sin.f64 x) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 x) 3) 1/6)) |
(sin.f64 x) |
(pow.f64 (sin.f64 x) 1) |
(sin.f64 x) |
(pow.f64 (sqrt.f64 (sin.f64 x)) 2) |
(sin.f64 x) |
(pow.f64 (cbrt.f64 (sin.f64 x)) 3) |
(sin.f64 x) |
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3) |
(sin.f64 x) |
(sqrt.f64 (pow.f64 (sin.f64 x) 2)) |
(fabs.f64 (sin.f64 x)) |
(log.f64 (exp.f64 (sin.f64 x))) |
(sin.f64 x) |
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x)))) |
(sin.f64 x) |
(cbrt.f64 (pow.f64 (sin.f64 x) 3)) |
(sin.f64 x) |
(expm1.f64 (log1p.f64 (sin.f64 x))) |
(sin.f64 x) |
(exp.f64 (log.f64 (sin.f64 x))) |
(sin.f64 x) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1)) |
(sin.f64 x) |
(log1p.f64 (expm1.f64 (sin.f64 x))) |
(sin.f64 x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| ✓ | 0.2b | (*.f64 -1/24 (*.f64 x x)) |
Compiled 19 to 10 computations (47.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 0.0ms | x | @ | inf | (*.f64 -1/24 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 -1/24 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 0.0ms | x | @ | -inf | (*.f64 -1/24 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1720× | add-sqr-sqrt |
| 1684× | *-un-lft-identity |
| 1592× | add-cube-cbrt |
| 1582× | add-cbrt-cube |
| 166× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 174 | 28 |
| 2 | 2146 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824))))) (#(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 exp.f64 (*.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x 4) 1/576) (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 -1/24 x) x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2) (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (/.f64 1 (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (/.f64 1 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/2 (*.f64 1/24 (*.f64 x x))) (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x)))) (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (+.f64 (*.f64 (pow.f64 x 4) 1/576) (-.f64 1/4 (*.f64 -1/48 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/576) 1/4) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576))) (neg.f64 (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824))) (neg.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/24 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/24 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/24 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/24 x) x 1/2))))) |
| 1× | egg-herbie |
| 1622× | associate-/l* |
| 1300× | associate-*r* |
| 1058× | associate-+r+ |
| 1052× | associate-*l* |
| 874× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 1520 |
| 1 | 277 | 1384 |
| 2 | 964 | 1340 |
| 3 | 4865 | 1340 |
| 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)) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(*.f64 -1/24 (pow.f64 x 2)) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(*.f64 -1/24 (pow.f64 x 2)) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(-.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576)) |
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/24)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (*.f64 x x))))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) 1) |
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x 4) 1/576) (+.f64 1/2 (*.f64 1/24 (*.f64 x x))))) |
(*.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 1) |
(*.f64 1 (fma.f64 (*.f64 -1/24 x) x 1/2)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(*.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2) (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (/.f64 1 (+.f64 1/2 (*.f64 1/24 (*.f64 x x))))) |
(*.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (/.f64 1 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x)))))) |
(/.f64 1 (/.f64 (+.f64 1/2 (*.f64 1/24 (*.f64 x x))) (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)))) |
(/.f64 1 (/.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x)))) (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)))) |
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))) |
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x))))) |
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (+.f64 (*.f64 (pow.f64 x 4) 1/576) (-.f64 1/4 (*.f64 -1/48 (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/576) 1/4) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)) |
(/.f64 (neg.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576))) (neg.f64 (+.f64 1/2 (*.f64 1/24 (*.f64 x x))))) |
(/.f64 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824))) (neg.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x)))))) |
(pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 3) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 2)) |
(log.f64 (exp.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))) |
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(exp.f64 (log.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(fma.f64 (*.f64 x x) -1/24 1/2) |
(fma.f64 1 (*.f64 -1/24 (*.f64 x x)) 1/2) |
(fma.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)) 1/2) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 1/2) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
| 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)) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(-.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) |
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/13824)) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576)) |
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/24)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (*.f64 x x))))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) |
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/13824)) |
(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)) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))) 1)) |
(*.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)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) 1) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x 4) 1/576) (+.f64 1/2 (*.f64 1/24 (*.f64 x x))))) |
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 (*.f64 x x) 1/24))) |
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) -1/576 1/4) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (fma.f64 x (*.f64 -1/24 x) -1/2)) |
(*.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 1) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 1 (fma.f64 (*.f64 -1/24 x) x 1/2)) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2)) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2) (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (/.f64 1 (+.f64 1/2 (*.f64 1/24 (*.f64 x x))))) |
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 (*.f64 x x) 1/24))) |
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) -1/576 1/4) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (fma.f64 x (*.f64 -1/24 x) -1/2)) |
(*.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (/.f64 1 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x)))))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/8) (/.f64 1 (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (*.f64 (*.f64 x x) -1/48)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (-.f64 1/4 (*.f64 (*.f64 x x) -1/48)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (fma.f64 (*.f64 x x) 1/48 1/4))) |
(/.f64 1 (/.f64 (+.f64 1/2 (*.f64 1/24 (*.f64 x x))) (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)))) |
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 (*.f64 x x) 1/24))) |
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) -1/576 1/4) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (fma.f64 x (*.f64 -1/24 x) -1/2)) |
(/.f64 1 (/.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x)))) (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/8) (/.f64 1 (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (*.f64 (*.f64 x x) -1/48)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (-.f64 1/4 (*.f64 (*.f64 x x) -1/48)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (fma.f64 (*.f64 x x) 1/48 1/4))) |
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))) |
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 (*.f64 x x) 1/24))) |
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) -1/576 1/4) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (fma.f64 x (*.f64 -1/24 x) -1/2)) |
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x))))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/8) (/.f64 1 (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (*.f64 (*.f64 x x) -1/48)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (-.f64 1/4 (*.f64 (*.f64 x x) -1/48)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (fma.f64 (*.f64 x x) 1/48 1/4))) |
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (+.f64 (*.f64 (pow.f64 x 4) 1/576) (-.f64 1/4 (*.f64 -1/48 (*.f64 x x))))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/8) (/.f64 1 (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (*.f64 (*.f64 x x) -1/48)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (-.f64 1/4 (*.f64 (*.f64 x x) -1/48)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (fma.f64 (*.f64 x x) 1/48 1/4))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/576) 1/4) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)) |
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 (*.f64 x x) 1/24))) |
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) -1/576 1/4) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (fma.f64 x (*.f64 -1/24 x) -1/2)) |
(/.f64 (neg.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576))) (neg.f64 (+.f64 1/2 (*.f64 1/24 (*.f64 x x))))) |
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 (*.f64 x x) 1/24))) |
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) -1/576 1/4) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (fma.f64 x (*.f64 -1/24 x) -1/2)) |
(/.f64 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824))) (neg.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x)))))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/8) (/.f64 1 (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (*.f64 (*.f64 x x) -1/48)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (-.f64 1/4 (*.f64 (*.f64 x x) -1/48)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (fma.f64 (*.f64 x x) 1/48 1/4))) |
(pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 1) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 3) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 3) 1/3) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 2)) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(log.f64 (exp.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 3)) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(exp.f64 (log.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 1)) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(fma.f64 (*.f64 x x) -1/24 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(fma.f64 1 (*.f64 -1/24 (*.f64 x x)) 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(fma.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)) 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 1/2) |
(fma.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) 1/2) |
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 -1/24 x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) 1/2) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (-.f64 1 (+.f64 1 (cos.f64 x))) |
| ✓ | 0.4b | (+.f64 1 (cos.f64 x)) |
| ✓ | 1.1b | (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
| ✓ | 15.9b | (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
Compiled 38 to 23 computations (39.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (+.f64 1 (cos.f64 x)) |
| 0.0ms | x | @ | 0 | (-.f64 1 (+.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | inf | (+.f64 1 (cos.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1732× | associate-/r* |
| 1178× | associate-/l* |
| 646× | associate-/r/ |
| 538× | associate-/l/ |
| 350× | associate-+r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 68 |
| 1 | 249 | 54 |
| 2 | 3645 | 54 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(+.f64 1 (cos.f64 x)) |
(-.f64 1 (+.f64 1 (cos.f64 x))) |
| 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 (/.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 (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 (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))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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 (/.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 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (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))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) 1)) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -2)) (-.f64 (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (pow.f64 (neg.f64 (cos.f64 x)) 2)) (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -2)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) 3))) (+.f64 (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)) 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(-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) 1) (+.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (sqrt.f64 (+.f64 (cos.f64 x) 2))) (sqrt.f64 (+.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2)) (cbrt.f64 (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) 1) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 1422× | associate-*r* |
| 1272× | associate-*l* |
| 1086× | associate-/r* |
| 1030× | associate-/l* |
| 888× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 787 | 15200 |
| 1 | 2411 | 14544 |
| 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 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)) |
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) |
-1 |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) 1) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) 1) |
(*.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 (/.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 (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 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.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 -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))) (*.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 (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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.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 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) 1)) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -2)) (-.f64 (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (pow.f64 (neg.f64 (cos.f64 x)) 2)) (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -2)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) 3))) (+.f64 (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (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)) (neg.f64 (*.f64 x x)))) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2)) |
(log.f64 (exp.f64 (*.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 1 (cos.f64 x)) |
(-.f64 (neg.f64 (cos.f64 x)) -1) |
(-.f64 (-.f64 1 (cos.f64 x)) 0) |
(-.f64 0 (+.f64 (cos.f64 x) -1)) |
(-.f64 3 (+.f64 (cos.f64 x) 2)) |
(-.f64 2 (+.f64 1 (cos.f64 x))) |
(-.f64 (exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) 1) |
(-.f64 (/.f64 1 (+.f64 (cos.f64 x) 2)) (-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 (cos.f64 x) 2)) 1)) |
(-.f64 (/.f64 1 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) 1)) |
(-.f64 (/.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (-.f64 -1 (cos.f64 x))) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(-.f64 (-.f64 2 (cos.f64 x)) 1) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 (cos.f64 x) 2))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(*.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))) (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 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 1 (-.f64 -1 (cos.f64 x))) (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1)) |
(*.f64 (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) 2))) (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.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 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (neg.f64 (+.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 (neg.f64 (cos.f64 x)) 2) -1) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) 1)) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) 1)) (+.f64 (cos.f64 x) -1)) |
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(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) 1) (+.f64 (cos.f64 x) -1)) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.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 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (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 (+.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 (neg.f64 (cos.f64 x)) 3)) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) 2))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) 1) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1)) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) 2)))) |
(/.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)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1)) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) 2)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (+.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (neg.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 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) -1) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (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 (cos.f64 x) 2))) |
(exp.f64 (log1p.f64 (cos.f64 x))) |
(exp.f64 (*.f64 (log1p.f64 (cos.f64 x)) 1)) |
(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 1 (-.f64 -1 (cos.f64 x))) |
(+.f64 1 (*.f64 (-.f64 -1 (cos.f64 x)) 1)) |
(+.f64 1 (-.f64 (*.f64 -1 (cos.f64 x)) 1)) |
(+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))) 1)) |
(+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))) 1)) |
(+.f64 (neg.f64 (cos.f64 x)) 0) |
(+.f64 (-.f64 1 (cos.f64 x)) -1) |
(+.f64 0 (neg.f64 (cos.f64 x))) |
(+.f64 0 (*.f64 -1 (cos.f64 x))) |
(+.f64 0 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))) |
(+.f64 0 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))) |
(+.f64 (-.f64 -1 (cos.f64 x)) 1) |
(+.f64 2 (+.f64 (neg.f64 (cos.f64 x)) -2)) |
(+.f64 (*.f64 (-.f64 -1 (cos.f64 x)) 1) 1) |
(+.f64 -1 (-.f64 1 (cos.f64 x))) |
(+.f64 (*.f64 -1 (cos.f64 x)) 0) |
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))) 0) |
(+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))) 0) |
(+.f64 (-.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))) |
(*.f64 1 (neg.f64 (cos.f64 x))) |
(*.f64 (neg.f64 (cos.f64 x)) 1) |
(*.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (*.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) 1)) |
(*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 2) (cbrt.f64 (neg.f64 (cos.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 1)) |
(*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (/.f64 1 (+.f64 (cos.f64 x) 2))) |
(*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) 2)) (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (neg.f64 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (-.f64 1 (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (-.f64 (neg.f64 (cos.f64 x)) (pow.f64 (+.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (+.f64 1 (pow.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)) 3))) (-.f64 (+.f64 1 (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (neg.f64 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (-.f64 1 (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (-.f64 (neg.f64 (cos.f64 x)) (pow.f64 (+.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (+.f64 1 (pow.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)) 3))) (-.f64 (+.f64 1 (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) |
(/.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 (cos.f64 x) 2)) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (/.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))) 1)) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (/.f64 (+.f64 (cos.f64 x) 2) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (/.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)))) (/.f64 (+.f64 (cos.f64 x) 2) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)))) (/.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (+.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (*.f64 (-.f64 -1 (cos.f64 x)) (-.f64 -1 (cos.f64 x)))) (+.f64 (cos.f64 x) 2)) |
(/.f64 (-.f64 0 (pow.f64 (cos.f64 x) 2)) (cos.f64 x)) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (*.f64 (+.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (*.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)))) |
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (-.f64 -1 (cos.f64 x))) (-.f64 -1 (cos.f64 x))))) |
(/.f64 (-.f64 0 (pow.f64 (cos.f64 x) 3)) (+.f64 0 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 0 (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) 3)) (*.f64 (+.f64 (cos.f64 x) 2) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) 3)) (*.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (*.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (neg.f64 (+.f64 (cos.f64 x) 2))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (+.f64 (cos.f64 x) 2)) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (+.f64 (cos.f64 x) 2))) (sqrt.f64 (+.f64 (cos.f64 x) 2))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2)) (cbrt.f64 (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 (cos.f64 x) 2))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) 1) (+.f64 (cos.f64 x) 2)) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (sqrt.f64 (+.f64 (cos.f64 x) 2))) (sqrt.f64 (+.f64 (cos.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2)) (cbrt.f64 (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 (cos.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) 1) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(pow.f64 (neg.f64 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) 1/3) |
(neg.f64 (cos.f64 x)) |
(sqrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (neg.f64 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(exp.f64 (log.f64 (neg.f64 (cos.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (neg.f64 (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))) |
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(+.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))))) |
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(/.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)) |
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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)) |
(/.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)) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
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(*.f64 x (*.f64 x 1/2)) |
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(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
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(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
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(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))))) |
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(-.f64 1 (cos.f64 x)) |
2 |
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-1 |
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(fma.f64 1/2 (*.f64 x x) -1) |
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(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
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(*.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 1 (/.f64 (*.f64 x x) (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)) (pow.f64 x -2)) |
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(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 x -2)))) |
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(*.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (/.f64 (-.f64 -1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)))) |
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(*.f64 (/.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (/.f64 (-.f64 -1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2))) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -2)) (-.f64 (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (pow.f64 (neg.f64 (cos.f64 x)) 2)) (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 4) (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 4) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2))) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -2)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) 3))) (+.f64 (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) 3))) (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 4) (-.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x)))))) |
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(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (-.f64 1 (*.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (*.f64 (+.f64 2 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))) (-.f64 (neg.f64 (cos.f64 x)) (pow.f64 (+.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (+.f64 1 (pow.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)) 3))) (-.f64 (+.f64 1 (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (*.f64 (+.f64 2 (cos.f64 x)) (+.f64 2 (cos.f64 x)))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))) (+.f64 1 (pow.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))) 3))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (+.f64 1 (pow.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))) 3))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (*.f64 (+.f64 2 (cos.f64 x)) (+.f64 2 (cos.f64 x)))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))) |
(/.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))) |
(neg.f64 (cos.f64 x)) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 (cos.f64 x) 2)) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 2 (cos.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (/.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))) 1)) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (/.f64 (+.f64 (cos.f64 x) 2) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (+.f64 2 (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (+.f64 2 (cos.f64 x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (/.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)))) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)))) (/.f64 (+.f64 (cos.f64 x) 2) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)))) (/.f64 (+.f64 2 (cos.f64 x)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (/.f64 (+.f64 2 (cos.f64 x)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)))) (/.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)))) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)))) (/.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (+.f64 (cos.f64 x) 2)) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 2 (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) |
(/.f64 (-.f64 1 (*.f64 (-.f64 -1 (cos.f64 x)) (-.f64 -1 (cos.f64 x)))) (+.f64 (cos.f64 x) 2)) |
(/.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (-.f64 -1 (cos.f64 x)))) (+.f64 2 (cos.f64 x))) |
(/.f64 (-.f64 0 (pow.f64 (cos.f64 x) 2)) (cos.f64 x)) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (cos.f64 x)) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (*.f64 (+.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 4)) (*.f64 (+.f64 2 (cos.f64 x)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (*.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 6)) (*.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 6)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) |
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (-.f64 -1 (cos.f64 x))) (-.f64 -1 (cos.f64 x))))) |
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 (cos.f64 x)) 3)) (+.f64 1 (fma.f64 (-.f64 -1 (cos.f64 x)) (-.f64 -1 (cos.f64 x)) (+.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 0 (pow.f64 (cos.f64 x) 3)) (+.f64 0 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 0 (cos.f64 x))))) |
(/.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) (+.f64 (pow.f64 (cos.f64 x) 2) 0)) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) 3)) (*.f64 (+.f64 (cos.f64 x) 2) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) 3)) (*.f64 (+.f64 2 (cos.f64 x)) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 4))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 6)) (+.f64 2 (cos.f64 x))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 4) 1))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) 3)) (*.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (*.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) 3)) (*.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 6))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) 3)) (*.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 6))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (neg.f64 (+.f64 (cos.f64 x) 2))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (+.f64 -2 (neg.f64 (cos.f64 x)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (-.f64 -2 (cos.f64 x))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (-.f64 -1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (+.f64 (cos.f64 x) 2)) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 2 (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (+.f64 (cos.f64 x) 2))) (sqrt.f64 (+.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (*.f64 (sqrt.f64 (+.f64 2 (cos.f64 x))) (sqrt.f64 (+.f64 2 (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2)) (cbrt.f64 (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 2 (cos.f64 x))) (*.f64 (cbrt.f64 (+.f64 2 (cos.f64 x))) (cbrt.f64 (+.f64 2 (cos.f64 x)))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) 1) (+.f64 (cos.f64 x) 2)) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 2 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (sqrt.f64 (+.f64 (cos.f64 x) 2))) (sqrt.f64 (+.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (*.f64 (sqrt.f64 (+.f64 2 (cos.f64 x))) (sqrt.f64 (+.f64 2 (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2)) (cbrt.f64 (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 2 (cos.f64 x))) (*.f64 (cbrt.f64 (+.f64 2 (cos.f64 x))) (cbrt.f64 (+.f64 2 (cos.f64 x)))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) 1) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))))) |
(pow.f64 (neg.f64 (cos.f64 x)) 1) |
(neg.f64 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) 2) |
(neg.f64 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 3) |
(neg.f64 (cos.f64 x)) |
(pow.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) 1/3) |
(neg.f64 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(sqrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (neg.f64 (cos.f64 x)))) |
(neg.f64 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (cos.f64 x))))) |
(neg.f64 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3)) |
(neg.f64 (cos.f64 x)) |
(expm1.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(neg.f64 (cos.f64 x)) |
(exp.f64 (log.f64 (neg.f64 (cos.f64 x)))) |
(neg.f64 (cos.f64 x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 x))) 1)) |
(neg.f64 (cos.f64 x)) |
(log1p.f64 (expm1.f64 (neg.f64 (cos.f64 x)))) |
(neg.f64 (cos.f64 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
| ✓ | 0.1b | (/.f64 x (-.f64 1 (cos.f64 x))) |
| ✓ | 0.4b | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
| 1.1b | (-.f64 1 (cos.f64 x)) |
Compiled 34 to 19 computations (44.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 x (-.f64 1 (cos.f64 x))) |
| 1.0ms | x | @ | inf | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
| 1.0ms | x | @ | -inf | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
| 1.0ms | x | @ | -inf | (/.f64 x (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
| 1× | batch-egg-rewrite |
| 1468× | associate-*r/ |
| 1244× | associate-/r* |
| 1050× | *-commutative |
| 996× | associate-*l/ |
| 880× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 69 |
| 1 | 235 | 63 |
| 2 | 3007 | 63 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))))) |
| 1× | egg-herbie |
| 1498× | times-frac |
| 1186× | associate-/r* |
| 1004× | associate-/l/ |
| 896× | associate-*r* |
| 828× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 803 | 16003 |
| 1 | 2273 | 15171 |
| 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 2 x) |
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/3024 (pow.f64 x 5))))) |
2 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) -1)) |
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.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 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) 1)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) -1) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.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)))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 (neg.f64 x))) (neg.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x x) 1)) |
(/.f64 -1 (neg.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1))) |
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(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
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(/.f64 (/.f64 (/.f64 (*.f64 x x) 1) 1) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 1) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) 1) (+.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) -1) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x 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 (neg.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 1) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) |
(exp.f64 (log.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) |
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (-.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))) |
(+.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 (-.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 2 x) |
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) |
(fma.f64 1/6 x (/.f64 2 x)) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 1/6 x (/.f64 2 x))) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/3024 (pow.f64 x 5))))) |
(fma.f64 1/120 (pow.f64 x 3) (+.f64 (fma.f64 1/6 x (/.f64 2 x)) (*.f64 1/3024 (pow.f64 x 5)))) |
(+.f64 (fma.f64 1/120 (pow.f64 x 3) (fma.f64 1/6 x (/.f64 2 x))) (*.f64 1/3024 (pow.f64 x 5))) |
2 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2) |
(fma.f64 1/6 (*.f64 x x) 2) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (*.f64 (pow.f64 x 4) 1/120)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (fma.f64 1/3024 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/120))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.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))) (*.f64 x x))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -2) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.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 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.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 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)) (/.f64 1 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) 1) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)) (/.f64 1 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) 1) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2)) |
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.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 1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (+.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) 1)) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (sqrt.f64 (-.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 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -2) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (/.f64 1 x) x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x))) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (+.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) x) (sqrt.f64 (-.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 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -2) |
(*.f64 (/.f64 (/.f64 1 x) -1) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.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))) (*.f64 x x))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -2) |
(*.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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (/.f64 1 x) x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 (neg.f64 x))) (neg.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x x) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 -1 (neg.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.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))) (*.f64 x x))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -2) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 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))) (*.f64 x x))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -2) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2)) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) |
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(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
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(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2))) |
(*.f64 (/.f64 (pow.f64 x -1/2) (/.f64 x (-.f64 1 (cos.f64 x)))) (pow.f64 x -1/2)) |
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(*.f64 (pow.f64 x -1/2) (*.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1/2) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) x) |
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(*.f64 (/.f64 1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 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))) (*.f64 x x))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -2) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
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(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (/.f64 1 x) x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (sqrt.f64 x) (/.f64 (*.f64 x (sqrt.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))) |
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(/.f64 (pow.f64 1 -1/2) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
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(/.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) 1) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (sqrt.f64 (neg.f64 x)) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 (cos.f64 x) -1))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) 1) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) (/.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (neg.f64 x)))) |
(*.f64 (/.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (neg.f64 x))) |
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(/.f64 (*.f64 (/.f64 x 1) 1) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
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(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
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(/.f64 (*.f64 (/.f64 x 1) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 x (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 (*.f64 (/.f64 x 1) (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
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(*.f64 (/.f64 (cbrt.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) |
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(/.f64 (*.f64 (/.f64 x 1) (/.f64 x 1)) (-.f64 1 (cos.f64 x))) |
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(/.f64 (*.f64 (/.f64 x 1) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) x) |
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(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) x) |
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(*.f64 (/.f64 (*.f64 x (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x)))) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) (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 (*.f64 x x) (*.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 x (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) (-.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 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) x) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (neg.f64 (cos.f64 x))) (-.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 (*.f64 x x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (neg.f64 (cos.f64 x))) (-.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 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) (+.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 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) x) (/.f64 (+.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 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3)))) |
(*.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (*.f64 (+.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 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) |
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (neg.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
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(/.f64 (*.f64 (*.f64 x (neg.f64 x)) 1) (+.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
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(/.f64 (*.f64 (/.f64 (*.f64 x x) 1) 1) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
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(/.f64 (*.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 1) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 x (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 (*.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) x) |
(*.f64 x (/.f64 x (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) 1) (+.f64 -1 (cos.f64 x))) |
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(/.f64 (*.f64 1 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
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(*.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 x (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) x) |
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(*.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (sin.f64 x))) 1) (+.f64 1 (cos.f64 x))) |
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(/.f64 (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
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(/.f64 x (*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)))) |
(/.f64 x (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))) |
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(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x))) |
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(/.f64 (/.f64 x (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) -1)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) -1)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
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(/.f64 (/.f64 (*.f64 x (neg.f64 x)) 1) (+.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) -1) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 x (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) x) |
(*.f64 x (/.f64 x (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))) |
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 (cos.f64 x) -1))) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 x (sqrt.f64 (+.f64 (cos.f64 x) -1))) (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 (cos.f64 x) -1)))) |
(/.f64 (/.f64 (*.f64 x (neg.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 x (cbrt.f64 (+.f64 (cos.f64 x) -1))) (/.f64 (neg.f64 x) (cbrt.f64 (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 x (cbrt.f64 (+.f64 (cos.f64 x) -1))) (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1))))) |
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 x (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) x) |
(*.f64 x (/.f64 x (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) 1) 1) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) x) |
(*.f64 x (/.f64 x (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 1) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 x (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 x (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 x (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 x (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))) |
(*.f64 (/.f64 x (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) x) |
(*.f64 x (/.f64 x (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 x (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 x (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) 1) (+.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) -1) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 x (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) x) |
(*.f64 x (/.f64 x (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 (cos.f64 x) -1))) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 x (sqrt.f64 (+.f64 (cos.f64 x) -1))) (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 (cos.f64 x) -1)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x 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 x (cbrt.f64 (+.f64 (cos.f64 x) -1))) (/.f64 (neg.f64 x) (cbrt.f64 (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 x (cbrt.f64 (+.f64 (cos.f64 x) -1))) (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 x (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) x) |
(*.f64 x (/.f64 x (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))) |
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 1) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 x (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 3) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 3) 1/3) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (log.f64 (exp.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 3)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3) (pow.f64 x 3))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3))) |
(cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 (-.f64 1 (cos.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
| ✓ | 0.3b | (*.f64 (sin.f64 x) (sin.f64 x)) |
| 0.4b | (+.f64 1 (cos.f64 x)) | |
| ✓ | 15.7b | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
Compiled 43 to 15 computations (65.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
| 1.0ms | x | @ | inf | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1638× | associate-/l/ |
| 1624× | associate-/r/ |
| 848× | distribute-lft-in |
| 280× | add-sqr-sqrt |
| 272× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 77 |
| 1 | 266 | 45 |
| 2 | 4106 | 45 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
| Outputs |
|---|
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(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (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 pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 -1 (cos.f64 x))))))) (#(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 cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (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 (log.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 1 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 1312× | associate-*r* |
| 1200× | times-frac |
| 1192× | associate-/l* |
| 1010× | associate-*l* |
| 766× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 564 | 8701 |
| 1 | 1710 | 8173 |
| 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))) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.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 (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 (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 (/.f64 1/2 (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x)))))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 x (+.f64 x (*.f64 x (cos.f64 x)))))) |
(*.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 (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 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 x x)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (/.f64 -1 (*.f64 x (-.f64 -1 (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (pow.f64 x 4))) (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (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) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.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 (sin.f64 x) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))) (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.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 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) |
(*.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) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (-.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) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 x -2) (-.f64 -1 (cos.f64 x))) (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) |
(*.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)) 1) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))) |
(*.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)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (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)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.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 (+.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)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) 1) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) 1) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (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 (sin.f64 x) 2) (pow.f64 x -2)) (neg.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (-.f64 (pow.f64 (cos.f64 x) 2) 1)) (-.f64 (cos.f64 x) 1)) |
(*.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 x -2)) (neg.f64 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 x -2)) (neg.f64 (+.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 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) 1) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) 1) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.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 (sin.f64 x) 2) (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (cos.f64 x) 2) 1)) (-.f64 (cos.f64 x) 1)) |
(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 x) (-.f64 1 (cos.f64 x))) -1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x 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)) |
(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 1 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))) |
(+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (*.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))) |
(+.f64 1 (*.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x)))) |
(+.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))))) |
(+.f64 1/2 (*.f64 1 (*.f64 -1/2 (cos.f64 (+.f64 x x))))) |
(+.f64 1/2 (*.f64 1 (neg.f64 (*.f64 1/2 (cos.f64 (+.f64 x x)))))) |
(+.f64 (*.f64 -1/2 (cos.f64 (+.f64 x x))) 1/2) |
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) 1) |
(+.f64 (neg.f64 (*.f64 1/2 (cos.f64 (+.f64 x x)))) 1/2) |
(+.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) 1) |
(-.f64 1 (pow.f64 (cos.f64 x) 2)) |
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1) |
(-.f64 (/.f64 (cos.f64 0) 2) (/.f64 (cos.f64 (+.f64 x x)) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) 1) |
(/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2))) |
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2) |
(/.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) -2) |
(/.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x)))) (*.f64 2 (+.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))) |
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 3)) (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x)))) (*.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))))) |
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 3)) (*.f64 1 (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x)))) (*.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x)))))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (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 1 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 0) 3) (pow.f64 (cos.f64 (+.f64 x x)) 3)) (*.f64 2 (+.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x))) (*.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))))) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (pow.f64 (sin.f64 x) 2) 1) |
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 3) |
(pow.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) 1/3) |
(sqrt.f64 (pow.f64 (sin.f64 x) 4)) |
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2)))) |
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) |
(exp.f64 (*.f64 2 (log.f64 (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 2)) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2))) |
(+.f64 1 (neg.f64 (cos.f64 x))) |
(+.f64 1 (*.f64 -1 (cos.f64 x))) |
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))) |
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))) |
(+.f64 1 (*.f64 1 (neg.f64 (cos.f64 x)))) |
(+.f64 1 (*.f64 1 (*.f64 -1 (cos.f64 x)))) |
(+.f64 1 (*.f64 1 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))) |
(+.f64 1 (*.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))) |
(+.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))) |
(+.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (neg.f64 (cos.f64 x)) 1) |
(+.f64 (*.f64 -1 (cos.f64 x)) 1) |
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))) 1) |
(+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))) 1) |
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(+.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 1/2) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 -1/2 (cos.f64 (+.f64 x x))))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 1/2) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (neg.f64 (*.f64 1/2 (cos.f64 (+.f64 x x)))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (neg.f64 (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 -1 (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) 1)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) 1) |
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 x)))) |
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(*.f64 (sin.f64 x) (/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.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 (pow.f64 (sin.f64 x) 4)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.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 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 (sin.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 1 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (sin.f64 x)) |
(*.f64 (/.f64 1 (-.f64 -1 (cos.f64 x))) (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (cos.f64 x) 2) 1)) (-.f64 (cos.f64 x) 1)) |
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.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 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sin.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (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) |
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 -1 (cos.f64 x)))) |
(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)) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3))) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(exp.f64 (log.f64 (-.f64 1 (cos.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 1 (cos.f64 x))) 1)) |
(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))) |
(+.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 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (*.f64 x x) (sin.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (*.f64 x x) (sin.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (*.f64 x x) (sin.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (*.f64 x x) (sin.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (*.f64 x x) (sin.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (*.f64 x x) (sin.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
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(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
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(-.f64 1 (cos.f64 x)) |
(-.f64 (exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) 1) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)) |
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(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
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(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
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(*.f64 1 (-.f64 1 (cos.f64 x))) |
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(*.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)))) |
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(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 1 (cos.f64 x))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
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(*.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 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
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(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
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(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))) |
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(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
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(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x))) (neg.f64 (sin.f64 x))) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (tan.f64 (/.f64 x 2)) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (tan.f64 (/.f64 x 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 -1 (cos.f64 x))) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (cos.f64 x) 2) 1)) (-.f64 (cos.f64 x) 1)) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) (+.f64 (pow.f64 (cos.f64 x) 2) -1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (tan.f64 (/.f64 x 2)) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 x))) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sin.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sin.f64 x))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (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)) |
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1) |
(-.f64 1 (cos.f64 x)) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 -1 (cos.f64 x)))) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x))) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(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)) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3))) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(exp.f64 (log.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(exp.f64 (*.f64 (log.f64 (-.f64 1 (cos.f64 x))) 1)) |
(-.f64 1 (cos.f64 x)) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
Compiled 40982 to 23334 computations (43.1% saved)
19 alts after pruning (16 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1923 | 13 | 1936 |
| Fresh | 8 | 3 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 1934 | 19 | 1953 |
| Status | Error | Program |
|---|---|---|
| ✓ | 29.9b | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
| 30.5b | (/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 (+.f64 x x))) -2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) | |
| 29.5b | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) | |
| 30.4b | (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) | |
| ▶ | 29.5b | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| 30.4b | (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) | |
| ✓ | 30.4b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| ▶ | 30.4b | (/.f64 (+.f64 (/.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))) 1) (*.f64 x x)) |
| ▶ | 44.1b | (/.f64 (+.f64 -1 1) (*.f64 x x)) |
| 29.5b | (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 x)) | |
| ▶ | 16.4b | (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (*.f64 x x) (sin.f64 x))) |
| 30.4b | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| ✓ | 33.0b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 30.0b | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) | |
| 16.4b | (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) | |
| ▶ | 0.1b | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
| 16.4b | (*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (*.f64 x 1/2))) | |
| 16.4b | (neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))) | |
| 32.0b | 1/2 |
Compiled 390 to 282 computations (27.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sin.f64 x) | |
| ✓ | 0.1b | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
| ✓ | 0.1b | (/.f64 (sin.f64 x) x) |
| ✓ | 0.2b | (/.f64 (tan.f64 (*.f64 x 1/2)) x) |
Compiled 33 to 18 computations (45.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (tan.f64 (*.f64 x 1/2)) x) |
| 0.0ms | x | @ | -inf | (/.f64 (sin.f64 x) 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 (tan.f64 (*.f64 1/2 x)) (*.f64 (*.f64 (sqrt.f64 x) (/.f64 x (sin.f64 x))) (sqrt.f64 x))) |
(/.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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 15.5b | (/.f64 (+.f64 -1 1) (*.f64 x x)) |
Compiled 17 to 11 computations (35.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 -1 1) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 -1 1) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 -1 1) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 932× | add-sqr-sqrt |
| 916× | *-un-lft-identity |
| 872× | pow1 |
| 848× | add-cube-cbrt |
| 842× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 1 |
| 1 | 156 | 1 |
| 2 | 1336 | 1 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x . 0))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 13 |
| 1× | saturated |
| Inputs |
|---|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
| Outputs |
|---|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| 0.1b | (/.f64 x (-.f64 1 (cos.f64 x))) | |
| 1.1b | (-.f64 1 (cos.f64 x)) |
Compiled 28 to 16 computations (42.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| 1× | batch-egg-rewrite |
| 1116× | *-commutative |
| 1092× | associate-/r/ |
| 828× | associate-/l/ |
| 676× | swap-sqr |
| 426× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 1 | 221 | 23 |
| 2 | 3123 | 23 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 x) (/.f64 x (-.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 1 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1))))) (#(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 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (cos.f64 x) (/.f64 -1 (*.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 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(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 (pow.f64 x -1/2) (*.f64 (/.f64 (pow.f64 x -1/2) x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(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 x -2)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(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 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) 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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 x -2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (*.f64 (pow.f64 x -1/2) (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -1/2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) x) (*.f64 (pow.f64 x -1/2) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 x -1/2) x) (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (*.f64 (pow.f64 x -1/2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))))) 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egg-rr> (2) ((x neg.f64 (*.f64 1 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 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 (-.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 cbrt.f64 (/.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 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)))))))) |
| 1× | egg-herbie |
| 1400× | associate-/r* |
| 1290× | associate-/l/ |
| 1164× | distribute-lft-in |
| 1066× | distribute-rgt-in |
| 1026× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 256 | 3644 |
| 1 | 767 | 3462 |
| 2 | 2931 | 3462 |
| 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 1 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x))) |
(+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1)) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2)) |
(+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (cos.f64 x) (/.f64 -1 (*.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 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.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 (pow.f64 x -1/2) (*.f64 (/.f64 (pow.f64 x -1/2) x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.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 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 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 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 x -2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (/.f64 1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (*.f64 (pow.f64 x -1/2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 (pow.f64 x -1/2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x)) |
(*.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -1/2) x) (*.f64 (pow.f64 x -1/2) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 (pow.f64 x -1/2) x) (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2)) |
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (*.f64 (pow.f64 x -1/2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(*.f64 (*.f64 (pow.f64 x -1/2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) |
(*.f64 (*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x -2)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) 1) (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) 1) (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x -2)) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 1 (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (cbrt.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) -1) (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.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)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) 1) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) -1) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) (pow.f64 x -1/2)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)) -1) |
(*.f64 (/.f64 (/.f64 -1 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.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 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (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 (+.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 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) 1) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (*.f64 (pow.f64 x -1/2) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 x -1/2) x)) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 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 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1) |
(neg.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))) |
(neg.f64 (*.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) 1)) |
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(neg.f64 (*.f64 1 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)))) |
(neg.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x)))) |
(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 (/.f64 1 (pow.f64 x 3)) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 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)))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (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 (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 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 (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 1 (*.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 (/.f64 -1 (*.f64 x x)) (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 (*.f64 (pow.f64 x -2) (neg.f64 (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) (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 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (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 (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 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 (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 (pow.f64 x -1/2) (*.f64 (/.f64 (pow.f64 x -1/2) 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 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (sqrt.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 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.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 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 x (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 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 (-.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 x -2)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) |
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (pow.f64 x -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 (-.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 (-.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 (+.f64 (cos.f64 x) -1) (/.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 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) 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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 x -2)) (cbrt.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 (/.f64 1 (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 x (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) x)) |
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (*.f64 (pow.f64 x -1/2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 x) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))) |
(*.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))) |
(*.f64 (*.f64 (pow.f64 x -1/2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(*.f64 (/.f64 1 x) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))) |
(*.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(/.f64 (*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) |
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) |
(/.f64 (*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (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 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -1/2) x) (*.f64 (pow.f64 x -1/2) (-.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 (cbrt.f64 (pow.f64 x -2)) 1) (*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 x (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))) |
(*.f64 (*.f64 (/.f64 (pow.f64 x -1/2) x) (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (*.f64 (pow.f64 x -1/2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(/.f64 (*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) |
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(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
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(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)) -1) |
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(*.f64 (/.f64 (/.f64 -1 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) 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 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3)))) (fma.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) -1)) 1)) |
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(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 x)))) |
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(*.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) 1) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
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(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) (*.f64 x (cbrt.f64 x))))) |
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(*.f64 (*.f64 (pow.f64 x -1/2) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 x -1/2) x)) |
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(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.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)) |
(pow.f64 (sqrt.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)) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
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(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1) |
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(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(cbrt.f64 (/.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3))) |
(cbrt.f64 (/.f64 1 (/.f64 (pow.f64 x 6) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))) |
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (/.f64 1 (pow.f64 x 6)))) |
(expm1.f64 (log1p.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)) |
(exp.f64 (log.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)) |
(log1p.f64 (expm1.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)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1 (neg.f64 (cos.f64 x))) |
| ✓ | 0.2b | (/.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))) |
| ✓ | 1.1b | (+.f64 (/.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))) 1) |
| ✓ | 15.9b | (/.f64 (+.f64 (/.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))) 1) (*.f64 x x)) |
Compiled 45 to 24 computations (46.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (+.f64 (/.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))) 1) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 (/.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))) 1) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 1 (neg.f64 (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (neg.f64 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 (/.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))) 1) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1192× | associate-/l* |
| 946× | *-commutative |
| 540× | swap-sqr |
| 468× | associate-/r/ |
| 436× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 66 |
| 1 | 265 | 50 |
| 2 | 3399 | 50 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))) 1) (*.f64 x x)) |
(+.f64 (/.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))) 1) |
(/.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))) |
(/.f64 1 (neg.f64 (cos.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2))))) (#(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 (/.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 (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 (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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (cbrt.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 (+.f64 (cos.f64 x) -1) (/.f64 1 (*.f64 x (neg.f64 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 (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 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (+.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (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 (neg.f64 x))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) 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(neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (+.f64 1 (pow.f64 (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 cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 x x) 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 (-.f64 (log1p.f64 (cos.f64 x)) (*.f64 (log.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 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) -1)))) (#(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 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -1)) (/.f64 1 (+.f64 (cos.f64 x) -1)))))) (#(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))) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2))) (neg.f64 (neg.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1) (/.f64 1 (+.f64 (cos.f64 x) -1)))))) (#(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 (cos.f64 x) (+.f64 1 (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))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.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 (/.f64 1 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) -1/2) (pow.f64 (cos.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (cos.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)) (/.f64 1 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) -1) (pow.f64 (sqrt.f64 (cos.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) -1) (neg.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) -1) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) -2)))) (/.f64 1 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) 0)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 0 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cos.f64 x) -1/2) 1) (pow.f64 (cos.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cos.f64 x) -1/2) (sqrt.f64 -1)) (pow.f64 (cos.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)) 1) (/.f64 1 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)) -1) (/.f64 1 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) -2)))) (/.f64 1 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (pow.f64 (cos.f64 x) 2) 0)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 0 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) 1) (/.f64 1 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) -1) (/.f64 1 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) -1)) (pow.f64 (sqrt.f64 (cos.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) -1)) (pow.f64 (cbrt.f64 (cos.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (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 (/.f64 1 (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 1000× | associate-*r* |
| 970× | associate-*l* |
| 748× | +-commutative |
| 606× | associate-*r/ |
| 574× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 517 | 7159 |
| 1 | 1466 | 6845 |
| 2 | 7941 | 6845 |
| 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 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (+.f64 1 (*.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 1 (*.f64 -1 (cos.f64 x))) |
(+.f64 1 (*.f64 -1 (cos.f64 x))) |
(+.f64 1 (*.f64 -1 (cos.f64 x))) |
(+.f64 1 (*.f64 -1 (cos.f64 x))) |
(+.f64 1 (*.f64 -1 (cos.f64 x))) |
(+.f64 1 (*.f64 -1 (cos.f64 x))) |
(+.f64 1 (*.f64 -1 (cos.f64 x))) |
(+.f64 1 (*.f64 -1 (cos.f64 x))) |
-1 |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) 1) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) 1) |
(*.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)) |
-1 |
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/24 (pow.f64 x 4))) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 -5/24 (pow.f64 x 4)))) 1) |
(/.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 (pow.f64 x -2) (cos.f64 x))) |
(+.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(+.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (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 (+.f64 1 (pow.f64 (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 (+.f64 1 (pow.f64 (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 (+.f64 (cos.f64 x) -1) (/.f64 1 (*.f64 x (neg.f64 x)))) |
(*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(*.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 (neg.f64 x))) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (*.f64 x x))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2))) 1) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (*.f64 x x))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) x) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2))) x)) |
(*.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))) (*.f64 x x)) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) 1)) |
(*.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 (+.f64 1 (cos.f64 x))) (*.f64 x x)) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2))) 1)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2))) x) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (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 (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 x x)) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2))))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1) (pow.f64 x -2)) (fma.f64 (cos.f64 x) (cos.f64 x) -1)) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1) (pow.f64 x -2)) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1) (pow.f64 x -2)) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1) (pow.f64 x -2)) (-.f64 (pow.f64 (cos.f64 x) 3) 1)) (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (cos.f64 x) -1))) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3))) (+.f64 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (cos.f64 x)) (-.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))) |
(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 x) (+.f64 1 (cos.f64 x))) -1) |
(neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x)))) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))) 1)) |
(neg.f64 (*.f64 (+.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x (neg.f64 x))))) |
(neg.f64 (*.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))))) |
(neg.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (neg.f64 x))) |
(sqrt.f64 (/.f64 (+.f64 1 (pow.f64 (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)) |
(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 (-.f64 (log1p.f64 (cos.f64 x)) (*.f64 (log.f64 x) 2))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (cos.f64 x) -1) |
(-.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 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -1)) (/.f64 1 (+.f64 (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 (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))) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2))) (neg.f64 (neg.f64 (cbrt.f64 (+.f64 1 (cos.f64 x)))))) |
(*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1) (/.f64 1 (+.f64 (cos.f64 x) -1))) |
(*.f64 -1 (+.f64 (cos.f64 x) -1)) |
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (cos.f64 x) (+.f64 1 (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 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)))) (neg.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))))) |
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) (neg.f64 (-.f64 (sqrt.f64 (cos.f64 x)) 1))) |
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (fma.f64 (cos.f64 x) (cos.f64 x) -1)) |
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1) (fma.f64 (cos.f64 x) (cos.f64 x) -1)) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1) (-.f64 (pow.f64 (cos.f64 x) 3) 1)) (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (cos.f64 x) -1))) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3))) (+.f64 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (cos.f64 x)) (-.f64 (+.f64 1 (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 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (fma.f64 (cos.f64 x) (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -1))) |
(*.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 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(*.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)))) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2))))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (neg.f64 (+.f64 1 (sqrt.f64 (cos.f64 x)))) (-.f64 (sqrt.f64 (cos.f64 x)) 1)) |
(/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(/.f64 (+.f64 1 (cos.f64 x)) 1) |
(/.f64 (+.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (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 (+.f64 1 (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (cbrt.f64 (+.f64 1 (cos.f64 x))))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) |
(/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1)))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1)) (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1))) (/.f64 (+.f64 (cos.f64 x) -1) (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -1))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) 1) (*.f64 (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (-.f64 (pow.f64 (cos.f64 x) 3) 1))) |
(/.f64 (-.f64 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3)) 1) (neg.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3) 1) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (+.f64 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3)) 1) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) 3) 1)) (+.f64 (cos.f64 x) (+.f64 1 (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 (cos.f64 x) -1)) |
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -1)))) |
(sqrt.f64 (+.f64 1 (pow.f64 (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 (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) |
(fma.f64 -1 (cos.f64 x) 1) |
(+.f64 1 (+.f64 (cos.f64 x) -1)) |
(+.f64 (cos.f64 x) 0) |
(+.f64 0 (cos.f64 x)) |
(+.f64 (+.f64 (cos.f64 x) -1) 1) |
(-.f64 1 (+.f64 1 (cos.f64 x))) |
(-.f64 (+.f64 1 (cos.f64 x)) 1) |
(-.f64 0 (cos.f64 x)) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (cos.f64 x)))) 2) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -1)) (+.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) 1)) |
(*.f64 1 (cos.f64 x)) |
(*.f64 (cos.f64 x) 1) |
(*.f64 (cos.f64 x) -1) |
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x))) |
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x))) |
(*.f64 -1 (cos.f64 x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) -2))) (cbrt.f64 (cos.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) -1/2) -1) (pow.f64 (pow.f64 (cos.f64 x) -1/2) -1)) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) -1/2) -1) (neg.f64 (pow.f64 (pow.f64 (cos.f64 x) -1/2) -1))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 x))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)) -1) (neg.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 x))) -1))) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 x))) -1) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)) -1)) |
(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (cos.f64 x) -2))) (cbrt.f64 (cos.f64 x))) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (sqrt.f64 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 -1)) (sqrt.f64 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (cbrt.f64 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) -1) (cbrt.f64 (cos.f64 x))) |
(*.f64 (/.f64 -1 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) -2))) 1) (cbrt.f64 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) -2))) -1) (cbrt.f64 (cos.f64 x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 0) 1) (/.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 0) (sqrt.f64 (cos.f64 x))) (pow.f64 (cos.f64 x) -1/2)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 0) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 0) -1) (/.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 0) (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) -2)))) (/.f64 1 (cbrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 0) (+.f64 (pow.f64 (cos.f64 x) 2) 0)) (cos.f64 x)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 0) (+.f64 0 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) 0)) |
(*.f64 (neg.f64 (pow.f64 (pow.f64 (cos.f64 x) -1/2) -1)) (pow.f64 (pow.f64 (cos.f64 x) -1/2) -1)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)) -1)) (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 x))) -1)) |
(pow.f64 (/.f64 1 (cos.f64 x)) -1) |
(pow.f64 (cos.f64 x) 1) |
(pow.f64 (sqrt.f64 (cos.f64 x)) 2) |
(pow.f64 (cbrt.f64 (cos.f64 x)) 3) |
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3) |
(neg.f64 (cos.f64 x)) |
(sqrt.f64 (pow.f64 (cos.f64 x) 2)) |
(log.f64 (exp.f64 (cos.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x)))) |
(cbrt.f64 (pow.f64 (cos.f64 x) 3)) |
(cos.f64 x) |
(expm1.f64 (log1p.f64 (cos.f64 x))) |
(exp.f64 (log.f64 (cos.f64 x))) |
(log1p.f64 (expm1.f64 (cos.f64 x))) |
(+.f64 0 (/.f64 1 (cos.f64 x))) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 x))))) 1) |
(-.f64 0 (/.f64 1 (cos.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 x)))) 1) |
(*.f64 1 (/.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (cos.f64 x)) 1) |
(*.f64 (/.f64 1 (cos.f64 x)) -1) |
(*.f64 (pow.f64 (cos.f64 x) -1/2) (pow.f64 (cos.f64 x) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (cos.f64 x) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)) (/.f64 1 (cbrt.f64 (cos.f64 x)))) |
(*.f64 -1 (/.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (cos.f64 x)))) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) -1) (pow.f64 (sqrt.f64 (cos.f64 x)) -1)) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) -1) (neg.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) -1))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 x)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) -1) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) -1))) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) -1)) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) -2)))) (/.f64 1 (cbrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) 0)) (cos.f64 x)) |
(*.f64 (/.f64 1 (+.f64 0 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) 0)) |
(*.f64 (/.f64 (pow.f64 (cos.f64 x) -1/2) 1) (pow.f64 (cos.f64 x) -1/2)) |
(*.f64 (/.f64 (pow.f64 (cos.f64 x) -1/2) (sqrt.f64 -1)) (pow.f64 (cos.f64 x) -1/2)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)) 1) (/.f64 1 (cbrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)) -1) (/.f64 1 (cbrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 -1 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) -2)))) (/.f64 1 (cbrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 -1 (+.f64 (pow.f64 (cos.f64 x) 2) 0)) (cos.f64 x)) |
(*.f64 (/.f64 -1 (+.f64 0 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) 0)) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) 1) (/.f64 1 (cbrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) -1) (/.f64 1 (cbrt.f64 (cos.f64 x)))) |
(*.f64 (neg.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) -1)) (pow.f64 (sqrt.f64 (cos.f64 x)) -1)) |
(*.f64 (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) -1)) (pow.f64 (cbrt.f64 (cos.f64 x)) -1)) |
(pow.f64 (/.f64 1 (cos.f64 x)) 1) |
(pow.f64 (cos.f64 x) -1) |
(pow.f64 (pow.f64 (cos.f64 x) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 x))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 3)) 1/3) |
(neg.f64 (/.f64 1 (cos.f64 x))) |
(sqrt.f64 (pow.f64 (cos.f64 x) -2)) |
(log.f64 (exp.f64 (/.f64 1 (cos.f64 x)))) |
(log.f64 (/.f64 1 (exp.f64 (/.f64 1 (cos.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 x))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 x)))) |
(exp.f64 (neg.f64 (log.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)))) |
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(/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)) (cbrt.f64 (cos.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)) (/.f64 1 (cbrt.f64 (cos.f64 x)))) |
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)) (cbrt.f64 (cos.f64 x))) |
(*.f64 -1 (/.f64 1 (cos.f64 x))) |
(/.f64 -1 (cos.f64 x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (cos.f64 x)))) |
(/.f64 1 (cos.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) -1) (pow.f64 (sqrt.f64 (cos.f64 x)) -1)) |
(/.f64 1 (cos.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) -1) (neg.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) -1))) |
(/.f64 -1 (cos.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 x)) -1)) |
(/.f64 1 (cos.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) -1) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) -1))) |
(/.f64 -1 (cos.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) -1)) |
(/.f64 1 (cos.f64 x)) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (cos.f64 x)))) |
(/.f64 -1 (cos.f64 x)) |
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) -2)))) (/.f64 1 (cbrt.f64 (cos.f64 x)))) |
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)) (cbrt.f64 (cos.f64 x))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) 0)) (cos.f64 x)) |
(/.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) -2)) |
(*.f64 (/.f64 1 (+.f64 0 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) 0)) |
(/.f64 1 (cos.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cos.f64 x) -1/2) 1) (pow.f64 (cos.f64 x) -1/2)) |
(/.f64 1 (cos.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cos.f64 x) -1/2) (sqrt.f64 -1)) (pow.f64 (cos.f64 x) -1/2)) |
(/.f64 (/.f64 1 (cos.f64 x)) (sqrt.f64 -1)) |
(/.f64 1 (*.f64 (sqrt.f64 -1) (cos.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)) 1) (/.f64 1 (cbrt.f64 (cos.f64 x)))) |
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)) (cbrt.f64 (cos.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)) -1) (/.f64 1 (cbrt.f64 (cos.f64 x)))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)) (cbrt.f64 (cos.f64 x))) -1) |
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)) (neg.f64 (cbrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 -1 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) -2)))) (/.f64 1 (cbrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (cos.f64 x) -2)))) |
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2))) (cbrt.f64 (cos.f64 x))) |
(*.f64 (/.f64 -1 (+.f64 (pow.f64 (cos.f64 x) 2) 0)) (cos.f64 x)) |
(/.f64 (neg.f64 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 -1 (+.f64 0 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) 0)) |
(/.f64 -1 (cos.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) 1) (/.f64 1 (cbrt.f64 (cos.f64 x)))) |
(/.f64 1 (cos.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) -1) (/.f64 1 (cbrt.f64 (cos.f64 x)))) |
(/.f64 -1 (cos.f64 x)) |
(*.f64 (neg.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) -1)) (pow.f64 (sqrt.f64 (cos.f64 x)) -1)) |
(/.f64 -1 (cos.f64 x)) |
(*.f64 (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) -1)) (pow.f64 (cbrt.f64 (cos.f64 x)) -1)) |
(/.f64 -1 (cos.f64 x)) |
(pow.f64 (/.f64 1 (cos.f64 x)) 1) |
(/.f64 1 (cos.f64 x)) |
(pow.f64 (cos.f64 x) -1) |
(/.f64 1 (cos.f64 x)) |
(pow.f64 (pow.f64 (cos.f64 x) -1/2) 2) |
(/.f64 1 (cos.f64 x)) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 x))) 3) |
(/.f64 1 (cos.f64 x)) |
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 3)) 1/3) |
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 x) 3))) |
(neg.f64 (/.f64 1 (cos.f64 x))) |
(/.f64 -1 (cos.f64 x)) |
(sqrt.f64 (pow.f64 (cos.f64 x) -2)) |
(log.f64 (exp.f64 (/.f64 1 (cos.f64 x)))) |
(/.f64 1 (cos.f64 x)) |
(log.f64 (/.f64 1 (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 (/.f64 1 (pow.f64 (cos.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 x)))) |
(/.f64 1 (cos.f64 x)) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 x)))) |
(/.f64 1 (cos.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 x)))) |
(/.f64 1 (cos.f64 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sin.f64 x) | |
| ✓ | 0.4b | (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (*.f64 x x) (sin.f64 x))) |
| ✓ | 14.9b | (/.f64 (*.f64 x x) (sin.f64 x)) |
Compiled 32 to 14 computations (56.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/.f64 (*.f64 x x) (sin.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 x x) (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 x x) (sin.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (*.f64 x x) (sin.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (*.f64 x x) (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 960× | associate-/r/ |
| 882× | unswap-sqr |
| 810× | swap-sqr |
| 636× | associate-/l/ |
| 412× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 50 |
| 1 | 242 | 50 |
| 2 | 3363 | 50 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x x) (sin.f64 x)) |
(/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (*.f64 x x) (sin.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 1 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (neg.f64 (/.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))) (cbrt.f64 (/.f64 (pow.f64 x 4) 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*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) x)) (cbrt.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) x)))) (cbrt.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 (sin.f64 x)))) (/.f64 x (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))))) (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))))) (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))))) (*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (/.f64 x 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(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (/.f64 (*.f64 x x) (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))))))) |
| 1× | egg-herbie |
| 778× | distribute-rgt-in |
| 766× | distribute-lft-in |
| 742× | distribute-lft-neg-in |
| 732× | distribute-lft-neg-out |
| 680× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 420 | 6424 |
| 1 | 1205 | 6238 |
| 2 | 4809 | 6238 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 7/360 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 7/360 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 31/15120 (pow.f64 x 7)) x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 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 (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 (*.f64 x x) (sin.f64 x)))) 1) |
(*.f64 x (*.f64 x (/.f64 1 (sin.f64 x)))) |
(*.f64 x (*.f64 1 (/.f64 x (sin.f64 x)))) |
(*.f64 (*.f64 x x) (/.f64 1 (sin.f64 x))) |
(*.f64 (*.f64 x x) (neg.f64 (/.f64 -1 (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) 1) |
(*.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 (sin.f64 x))))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 x x)) |
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 -1 (sin.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) x)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) x)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) x)) (cbrt.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) x))) (neg.f64 (cbrt.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 x (sin.f64 x)) x) |
(*.f64 -1 (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) x)) |
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (neg.f64 x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) (neg.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))))) |
(*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (*.f64 x x))) |
(*.f64 (*.f64 1 (/.f64 x (sin.f64 x))) x) |
(*.f64 (/.f64 x 1) (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) |
(*.f64 (/.f64 x (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(*.f64 (/.f64 x (/.f64 (sin.f64 x) 1)) x) |
(*.f64 (/.f64 x (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 x (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))))) (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sin.f64 x) x)) (cbrt.f64 x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) x))) (sqrt.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) x))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) x)) (cbrt.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) x)))) (cbrt.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) x))) |
(*.f64 (neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 (sin.f64 x)))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))))) (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))))) (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))))) (*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (/.f64 x (sqrt.f64 (sin.f64 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (/.f64 x (sqrt.f64 (sin.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) x) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) x)) |
(pow.f64 (/.f64 (*.f64 x x) (sin.f64 x)) 1) |
(pow.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (sin.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 x) (*.f64 x x)) -1) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) x)) |
(neg.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) x) 1)) |
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))) |
(log.f64 (exp.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (sin.f64 x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (sin.f64 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 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.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 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 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 (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 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.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 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (neg.f64 (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) 1) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) (*.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (/.f64 (sin.f64 x) (*.f64 x x))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (*.f64 x x))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 x x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1) (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x x) (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x x) (sin.f64 x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 x x)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 (sin.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))) (/.f64 (*.f64 x x) (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 x) x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (*.f64 x x))) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) -1) (/.f64 (sin.f64 x) (neg.f64 (*.f64 x x)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)) (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) 1)) (sin.f64 x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x)))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 (sin.f64 x) x)))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 (*.f64 x x) (sin.f64 x))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) 1) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) 1) (/.f64 (sin.f64 x) 1)) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) -1) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -1) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 x x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (sin.f64 x))) x) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (sin.f64 x))) 1) (sqrt.f64 (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (*.f64 x x)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) 1) (cbrt.f64 (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 x)) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (neg.f64 (*.f64 x x)))) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x))) |
(*.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x)) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x))) |
(*.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 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) (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 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) (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 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 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 (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 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))))) (*.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 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (*.f64 x x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (*.f64 x x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.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))))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1) |
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))) 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 (*.f64 x x) (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) -1) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (neg.f64 (sin.f64 x)))) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (neg.f64 (*.f64 x x))))) |
(neg.f64 (*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (neg.f64 (sin.f64 x))) 1)) |
(neg.f64 (*.f64 1 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (neg.f64 (sin.f64 x))))) |
(neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x x) (sin.f64 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 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.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 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (/.f64 (*.f64 x x) (sin.f64 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))))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x) |
(fma.f64 1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 7/360 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x)) |
(fma.f64 7/360 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) x)) |
(+.f64 (*.f64 7/360 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 31/15120 (pow.f64 x 7)) x))) |
(fma.f64 7/360 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 31/15120 (pow.f64 x 7) x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 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 (+.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 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x 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 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x 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 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x 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 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x 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 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x 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 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x 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 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x 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 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) 1) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (*.f64 x (/.f64 1 (sin.f64 x)))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (*.f64 1 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 (*.f64 x x) (/.f64 1 (sin.f64 x))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 (*.f64 x x) (neg.f64 (/.f64 -1 (sin.f64 x)))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) 1) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(pow.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) 2) |
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 (sin.f64 x))))) |
(pow.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) 2) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (sin.f64 x)) 2))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (sin.f64 x)) 2))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (sin.f64 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 -1 (sin.f64 x))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
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(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x)) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.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 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))))) (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 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x))) (cbrt.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2))) |
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2))) |
(*.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 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) (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 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 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 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x))) (cbrt.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2))) |
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x))) (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 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.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 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))))) (*.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 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x))) (cbrt.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2))) |
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (*.f64 x x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (*.f64 x x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.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 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))) 2) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.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)))) 3) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 3) 1/3) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(pow.f64 (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) -1) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (neg.f64 (*.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 x 1/2)) (*.f64 x x))) |
(neg.f64 (*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (neg.f64 (sin.f64 x))) 1)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(neg.f64 (*.f64 1 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (neg.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x x) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) |
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 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 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)))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.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)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (/.f64 (*.f64 x x) (sin.f64 x)) 3))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.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 x 1/2)) (*.f64 x x))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.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 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)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.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 x 1/2)) (*.f64 x x))) |
Compiled 25217 to 14132 computations (44% saved)
21 alts after pruning (15 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1343 | 9 | 1352 |
| Fresh | 5 | 6 | 11 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 5 | 7 |
| Total | 1350 | 21 | 1371 |
| Status | Error | Program |
|---|---|---|
| ✓ | 29.9b | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
| 30.5b | (/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 (+.f64 x x))) -2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) | |
| 29.5b | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) | |
| ▶ | 0.1b | (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
| ✓ | 29.5b | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| ▶ | 48.1b | (/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x))) |
| 12.3b | (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) | |
| 13.5b | (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))))) | |
| ▶ | 29.5b | (/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)) |
| ▶ | 30.4b | (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
| ✓ | 30.4b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 30.4b | (/.f64 (+.f64 (/.f64 1 (/.f64 -1 (cos.f64 x))) 1) (*.f64 x x)) | |
| 29.5b | (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 x)) | |
| ✓ | 16.4b | (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (*.f64 x x) (sin.f64 x))) |
| ▶ | 0.5b | (/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)) |
| 30.3b | (+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) | |
| ✓ | 33.0b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 16.4b | (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) | |
| ✓ | 0.1b | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
| 32.0b | 1/2 | |
| 43.6b | 0 |
Compiled 417 to 302 computations (27.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sin.f64 x) | |
| ✓ | 0.1b | (/.f64 x (sin.f64 x)) |
| ✓ | 0.1b | (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
| 0.2b | (/.f64 (tan.f64 (*.f64 x 1/2)) x) |
Compiled 33 to 18 computations (45.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/.f64 x (sin.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 x (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 x (sin.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 1320× | associate-/r/ |
| 1268× | associate-/l/ |
| 924× | swap-sqr |
| 482× | distribute-lft-neg-in |
| 428× | distribute-rgt-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 44 |
| 1 | 240 | 44 |
| 2 | 3405 | 44 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
| Outputs |
|---|
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x (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (neg.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 x)) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 892× | distribute-rgt-in |
| 882× | distribute-lft-in |
| 578× | distribute-lft-neg-in |
| 574× | *-commutative |
| 526× | distribute-rgt-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 386 | 4717 |
| 1 | 1071 | 4649 |
| 2 | 4687 | 4649 |
| 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))) |
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) 1) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 x) (/.f64 (sin.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 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 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sin.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 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) 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)) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) 1) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (/.f64 1 x)) |
(*.f64 (*.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (cbrt.f64 x) 2) x)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 x))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 -1 x) (*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (sin.f64 x)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 1 (*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) x) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) x) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) x) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) -1) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x 1)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (/.f64 (sin.f64 x) x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) (/.f64 x (sin.f64 x))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 x (/.f64 (sin.f64 x) x))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) 1) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) 1) (/.f64 (sin.f64 x) 1)) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) -1) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (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 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (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 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) -1) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) x) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) x)) 1) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) x)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1) |
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))) 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 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) -1) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 (neg.f64 x) (sin.f64 x))))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 (sin.f64 x) x))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 (neg.f64 x) (sin.f64 x)))) 1)) |
(neg.f64 (*.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 (neg.f64 x) (sin.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)))) |
(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 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) (sin.f64 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 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) (pow.f64 (/.f64 x (sin.f64 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 (sin.f64 x)))) 1) |
(*.f64 x (/.f64 1 (sin.f64 x))) |
(*.f64 x (neg.f64 (/.f64 -1 (sin.f64 x)))) |
(*.f64 (/.f64 x (sin.f64 x)) 1) |
(*.f64 1 (/.f64 x (sin.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) x) |
(*.f64 (neg.f64 x) (/.f64 -1 (sin.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) (neg.f64 (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(*.f64 -1 (/.f64 (neg.f64 x) (sin.f64 x))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (neg.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 1) x) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 x 1)) |
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (cbrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) -1) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(pow.f64 (/.f64 x (sin.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 x) x) -1) |
(neg.f64 (/.f64 (neg.f64 x) (sin.f64 x))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) 1)) |
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 x (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 x (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (sin.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 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 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 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 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 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 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 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 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 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 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 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 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 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 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 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 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(fma.f64 1/6 (*.f64 x x) 1) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 (pow.f64 x 4) 7/360 (fma.f64 1/6 (*.f64 x x) 1)) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6))))) |
(fma.f64 7/360 (pow.f64 x 4) (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 (pow.f64 x 6) 31/15120))) |
(fma.f64 (pow.f64 x 4) 7/360 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) 31/15120 1))) |
(-.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 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) 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 (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 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (sqrt.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 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (*.f64 (sqrt.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 (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 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) (*.f64 (cbrt.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 (/.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 (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 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (/.f64 1 x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
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(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.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))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 3)) |
(*.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 x (sin.f64 x)) 3))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(expm1.f64 (log1p.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))) |
(exp.f64 (log.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))) |
(exp.f64 (*.f64 (log.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))) |
(log1p.f64 (expm1.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 (exp.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) 1) |
(/.f64 x (sin.f64 x)) |
(*.f64 x (/.f64 1 (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(*.f64 x (neg.f64 (/.f64 -1 (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 x (sin.f64 x)) 1) |
(/.f64 x (sin.f64 x)) |
(*.f64 1 (/.f64 x (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 1 (sin.f64 x)) x) |
(/.f64 x (sin.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 -1 (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) (neg.f64 (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 -1 (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (neg.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 x)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (sqrt.f64 x)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 1) x) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 x 1)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (cbrt.f64 x)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) -1) (neg.f64 x)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (/.f64 x (sin.f64 x)) 1) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (/.f64 (sin.f64 x) x) -1) |
(/.f64 x (sin.f64 x)) |
(neg.f64 (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) 1)) |
(/.f64 x (sin.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2)) |
(fabs.f64 (/.f64 x (sin.f64 x))) |
(log.f64 (exp.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 x (sin.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3)) |
(/.f64 x (sin.f64 x)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) |
(/.f64 x (sin.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(exp.f64 (log.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) 1)) |
(/.f64 x (sin.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 32.6b | (/.f64 x (*.f64 (*.f64 1/2 x) x)) |
Compiled 33 to 21 computations (36.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 x (*.f64 (*.f64 1/2 x) x)) |
| 0.0ms | x | @ | inf | (/.f64 x (*.f64 (*.f64 1/2 x) x)) |
| 0.0ms | x | @ | -inf | (/.f64 x (*.f64 (*.f64 1/2 x) x)) |
| 1× | batch-egg-rewrite |
| 1642× | add-sqr-sqrt |
| 1622× | *-un-lft-identity |
| 1524× | add-cube-cbrt |
| 1502× | add-cbrt-cube |
| 146× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 149 | 19 |
| 2 | 2008 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (*.f64 (*.f64 1/2 x) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 2 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 1/2) x)) (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 2 (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (*.f64 x x)))) 2) (cbrt.f64 (*.f64 x (/.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 x x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 2 (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x 1/2)) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)) (/.f64 x (*.f64 (sqrt.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2)) (/.f64 x (cbrt.f64 (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1/2) (/.f64 (sqrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (*.f64 x 1/2)) (/.f64 (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) x) (/.f64 (cbrt.f64 x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1/2) (/.f64 (cbrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x 1/2)) (/.f64 (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (sqrt.f64 1/2) x)) (/.f64 (cbrt.f64 x) (*.f64 (sqrt.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2)) (cbrt.f64 (*.f64 x (/.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 1/2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 2 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 (*.f64 x x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 2 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 2 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 2 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (*.f64 x x))))))))) |
| 1× | egg-herbie |
| 1126× | times-frac |
| 974× | associate-/l* |
| 856× | associate-+l- |
| 820× | associate-+r- |
| 674× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 792 |
| 1 | 324 | 780 |
| 2 | 1104 | 780 |
| 3 | 5267 | 780 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 2 (*.f64 x x))))) 1) |
(*.f64 x (/.f64 2 (*.f64 x x))) |
(*.f64 (*.f64 x (/.f64 2 (*.f64 x x))) 1) |
(*.f64 1 (*.f64 x (/.f64 2 (*.f64 x x)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 2 (*.f64 x x)))) |
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 1/2) x)) (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 1/2) x))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 2 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 2 (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (*.f64 x x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (*.f64 x x)))) 2) (cbrt.f64 (*.f64 x (/.f64 2 (*.f64 x x))))) |
(*.f64 (*.f64 2 (/.f64 x x)) (/.f64 1 x)) |
(*.f64 (/.f64 2 (*.f64 x x)) x) |
(*.f64 (neg.f64 x) (/.f64 1 (*.f64 -1/2 (*.f64 x x)))) |
(*.f64 (/.f64 1 x) (*.f64 2 (/.f64 x x))) |
(*.f64 2 (/.f64 x (*.f64 x x))) |
(*.f64 (/.f64 1 (*.f64 x 1/2)) (/.f64 x x)) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)) (/.f64 x (*.f64 (sqrt.f64 1/2) x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2)) (/.f64 x (cbrt.f64 (*.f64 x (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (*.f64 x 1/2))) |
(*.f64 (/.f64 (sqrt.f64 x) 1/2) (/.f64 (sqrt.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 x 1/2)) (/.f64 (sqrt.f64 x) x)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) x) (/.f64 (cbrt.f64 x) (*.f64 x 1/2))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1/2) (/.f64 (cbrt.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (*.f64 x (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 x (*.f64 x 1/2))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x 1/2)) (/.f64 (cbrt.f64 x) x)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (sqrt.f64 1/2) x)) (/.f64 (cbrt.f64 x) (*.f64 (sqrt.f64 1/2) x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2)) (cbrt.f64 (*.f64 x (/.f64 2 (*.f64 x x))))) |
(pow.f64 (*.f64 x (/.f64 2 (*.f64 x x))) 1) |
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 1/2) x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 2 (*.f64 x x))) 3) 1/3) |
(pow.f64 (*.f64 1/2 (/.f64 (*.f64 x x) x)) -1) |
(neg.f64 (/.f64 x (*.f64 -1/2 (*.f64 x x)))) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 2 (*.f64 x x))) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (*.f64 x x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 2 (*.f64 x x)))))) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 2 (*.f64 x x))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (*.f64 x x))))) |
(exp.f64 (log.f64 (*.f64 x (/.f64 2 (*.f64 x x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 2 (*.f64 x x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (*.f64 x x))))) |
| Outputs |
|---|
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 2 (*.f64 x x))))) 1) |
(/.f64 2 x) |
(*.f64 x (/.f64 2 (*.f64 x x))) |
(/.f64 2 x) |
(*.f64 (*.f64 x (/.f64 2 (*.f64 x x))) 1) |
(/.f64 2 x) |
(*.f64 1 (*.f64 x (/.f64 2 (*.f64 x x)))) |
(/.f64 2 x) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 2 (*.f64 x x)))) |
(/.f64 2 x) |
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 1/2) x)) (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 1/2) x))) |
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 1/2))) 2) |
(/.f64 (/.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 1/2)) x) |
(/.f64 (/.f64 1 x) (*.f64 (sqrt.f64 1/2) (sqrt.f64 1/2))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 2 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 2 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 (/.f64 2 (*.f64 x x)) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 (/.f64 2 x) x) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 2 (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (*.f64 x x)))) 2)) |
(/.f64 2 x) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (*.f64 x x)))) 2) (cbrt.f64 (*.f64 x (/.f64 2 (*.f64 x x))))) |
(/.f64 2 x) |
(*.f64 (*.f64 2 (/.f64 x x)) (/.f64 1 x)) |
(/.f64 2 x) |
(*.f64 (/.f64 2 (*.f64 x x)) x) |
(/.f64 2 x) |
(*.f64 (neg.f64 x) (/.f64 1 (*.f64 -1/2 (*.f64 x x)))) |
(/.f64 2 x) |
(*.f64 (/.f64 1 x) (*.f64 2 (/.f64 x x))) |
(/.f64 2 x) |
(*.f64 2 (/.f64 x (*.f64 x x))) |
(/.f64 2 x) |
(*.f64 (/.f64 1 (*.f64 x 1/2)) (/.f64 x x)) |
(/.f64 2 x) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)) (/.f64 x (*.f64 (sqrt.f64 1/2) x))) |
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 1/2))) 2) |
(/.f64 (/.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 1/2)) x) |
(/.f64 (/.f64 1 x) (*.f64 (sqrt.f64 1/2) (sqrt.f64 1/2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2)) (/.f64 x (cbrt.f64 (*.f64 x (*.f64 x 1/2))))) |
(/.f64 (/.f64 x (cbrt.f64 (*.f64 x (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2)) |
(/.f64 x (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2))) |
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (*.f64 x 1/2))) |
(/.f64 2 x) |
(*.f64 (/.f64 (sqrt.f64 x) 1/2) (/.f64 (sqrt.f64 x) (*.f64 x x))) |
(/.f64 2 x) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x 1/2)))) |
(/.f64 2 x) |
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 x 1/2)) (/.f64 (sqrt.f64 x) x)) |
(/.f64 2 x) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) x) (/.f64 (cbrt.f64 x) (*.f64 x 1/2))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 2 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 (/.f64 2 (*.f64 x x)) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 (/.f64 2 x) x) (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1/2) (/.f64 (cbrt.f64 x) (*.f64 x x))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 2 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 (/.f64 2 (*.f64 x x)) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 (/.f64 2 x) x) (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (*.f64 x (*.f64 x 1/2)))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 2 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 (/.f64 2 (*.f64 x x)) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 (/.f64 2 x) x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 x (*.f64 x 1/2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2)) (/.f64 x (cbrt.f64 (*.f64 x (*.f64 x 1/2))))) |
(/.f64 (/.f64 x (cbrt.f64 (*.f64 x (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2)) |
(/.f64 x (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x 1/2)) (/.f64 (cbrt.f64 x) x)) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 2 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 (/.f64 2 (*.f64 x x)) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 (/.f64 2 x) x) (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (sqrt.f64 1/2) x)) (/.f64 (cbrt.f64 x) (*.f64 (sqrt.f64 1/2) x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 1/2))) (/.f64 (cbrt.f64 x) (*.f64 x (sqrt.f64 1/2)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 1/2)) (/.f64 (/.f64 (cbrt.f64 x) (*.f64 x (sqrt.f64 1/2))) x)) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 1/2)) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x (*.f64 x (sqrt.f64 1/2))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) x) (/.f64 (/.f64 (cbrt.f64 x) x) (*.f64 (sqrt.f64 1/2) (sqrt.f64 1/2)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2)) (cbrt.f64 (*.f64 x (/.f64 2 (*.f64 x x))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2)) |
(*.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2))) |
(pow.f64 (*.f64 x (/.f64 2 (*.f64 x x))) 1) |
(/.f64 2 x) |
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 1/2) x)) 2) |
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 1/2))) 2) |
(/.f64 (/.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 1/2)) x) |
(/.f64 (/.f64 1 x) (*.f64 (sqrt.f64 1/2) (sqrt.f64 1/2))) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (*.f64 x x)))) 3) |
(/.f64 2 x) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 2 (*.f64 x x))) 3) 1/3) |
(/.f64 2 x) |
(pow.f64 (*.f64 1/2 (/.f64 (*.f64 x x) x)) -1) |
(/.f64 2 x) |
(neg.f64 (/.f64 x (*.f64 -1/2 (*.f64 x x)))) |
(/.f64 2 x) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 2 (*.f64 x x))) 2)) |
(/.f64 2 x) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (*.f64 x x)))) |
(/.f64 2 x) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 2 (*.f64 x x)))))) |
(/.f64 2 x) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 2 (*.f64 x x))) 3)) |
(/.f64 2 x) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (*.f64 x x))))) |
(/.f64 2 x) |
(exp.f64 (log.f64 (*.f64 x (/.f64 2 (*.f64 x x))))) |
(/.f64 2 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 2 (*.f64 x x)))) 1)) |
(/.f64 2 x) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (*.f64 x x))))) |
(/.f64 2 x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (-.f64 2 (cos.f64 x)) |
| ✓ | 1.3b | (-.f64 (-.f64 2 (cos.f64 x)) 1) |
| ✓ | 15.9b | (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
Compiled 29 to 16 computations (44.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (-.f64 2 (cos.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (-.f64 (-.f64 2 (cos.f64 x)) 1) |
| 1× | batch-egg-rewrite |
| 1590× | associate-/r* |
| 1386× | associate-/l* |
| 1080× | *-commutative |
| 616× | distribute-lft-in |
| 568× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 57 |
| 1 | 245 | 57 |
| 2 | 3418 | 45 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
(-.f64 (-.f64 2 (cos.f64 x)) 1) |
(-.f64 2 (cos.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)) (*.f64 1 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)) (*.f64 (pow.f64 x -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x -2)) (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -2) 2) (*.f64 (pow.f64 x -2) (+.f64 -1 (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -2) 2) (*.f64 (pow.f64 x -2) (neg.f64 (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -2) -1) (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 x -2))))) (#(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 (/.f64 2 (*.f64 x x)) (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (pow.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> (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 (/.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 (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 (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))))) (#(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 (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))))))) (#(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 (/.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)))))) 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|
| 1× | egg-herbie |
| 1016× | +-commutative |
| 752× | associate-+r- |
| 642× | associate-*l* |
| 640× | associate-*r* |
| 640× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 529 | 8624 |
| 1 | 1598 | 8410 |
| 2 | 7573 | 8410 |
| 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 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)) |
1 |
(+.f64 1 (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))) |
(+.f64 (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)) (neg.f64 (pow.f64 x -2))) |
(+.f64 (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)) (*.f64 1 (neg.f64 (pow.f64 x -2)))) |
(+.f64 (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)) (*.f64 (pow.f64 x -2) -1)) |
(+.f64 (neg.f64 (pow.f64 x -2)) (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (pow.f64 x -2) 2) (*.f64 (pow.f64 x -2) (+.f64 -1 (neg.f64 (cos.f64 x))))) |
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(/.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (cos.f64 x)) 3)) 1) (+.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 2) (-.f64 3 (cos.f64 x)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (cos.f64 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 2) (-.f64 3 (cos.f64 x))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 2) (-.f64 3 (cos.f64 x))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (cos.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 2) (-.f64 3 (cos.f64 x)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 2) (-.f64 3 (cos.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 2) (-.f64 3 (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 (log.f64 (-.f64 1 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
(fma.f64 1 (-.f64 2 (cos.f64 x)) -1) |
(fma.f64 (sqrt.f64 (-.f64 2 (cos.f64 x))) (sqrt.f64 (-.f64 2 (cos.f64 x))) -1) |
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 2 (cos.f64 x))) -1) |
(+.f64 2 (neg.f64 (cos.f64 x))) |
(+.f64 2 (-.f64 (-.f64 1 (cos.f64 x)) 1)) |
(+.f64 (-.f64 2 (cos.f64 x)) 0) |
(+.f64 1 (-.f64 1 (cos.f64 x))) |
(+.f64 (-.f64 1 (cos.f64 x)) 1) |
(+.f64 0 (-.f64 2 (cos.f64 x))) |
(+.f64 (-.f64 3 (cos.f64 x)) -1) |
(+.f64 (neg.f64 (cos.f64 x)) 2) |
(+.f64 3 (+.f64 -1 (neg.f64 (cos.f64 x)))) |
(+.f64 3 (neg.f64 (+.f64 (cos.f64 x) 1))) |
(*.f64 (-.f64 2 (cos.f64 x)) 1) |
(*.f64 1 (-.f64 2 (cos.f64 x))) |
(*.f64 (sqrt.f64 (-.f64 2 (cos.f64 x))) (sqrt.f64 (-.f64 2 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 2 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 2 (cos.f64 x)))) |
(*.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 2 (cos.f64 x)))) |
(*.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))))) |
(*.f64 (/.f64 1 (+.f64 2 (cos.f64 x))) (-.f64 4 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 1 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) (-.f64 8 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (-.f64 4 (pow.f64 (cos.f64 x) 2))) (-.f64 2 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (+.f64 8 (pow.f64 (cos.f64 x) 3))) (+.f64 4 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 2 (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (-.f64 16 (*.f64 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))) (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))))) (-.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (+.f64 64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))) 3))) (+.f64 16 (-.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))) (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))) (*.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))))) |
(/.f64 (-.f64 2 (cos.f64 x)) 1) |
(/.f64 1 (/.f64 1 (-.f64 2 (cos.f64 x)))) |
(/.f64 1 (*.f64 1 (/.f64 1 (-.f64 2 (cos.f64 x))))) |
(/.f64 (sqrt.f64 (-.f64 2 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 2 (cos.f64 x))))) |
(/.f64 (cbrt.f64 (-.f64 2 (cos.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 2)))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 2 (cos.f64 x))))) |
(/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (+.f64 2 (cos.f64 x))) |
(/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (+.f64 2 (cos.f64 x))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))) 1)) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (/.f64 1 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))))) |
(/.f64 (sqrt.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))) (sqrt.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 2 (cos.f64 x)) (sqrt.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))) (cbrt.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 2 (cos.f64 x)) (cbrt.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 4 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 2 (cos.f64 x))) |
(/.f64 (-.f64 64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))) (+.f64 8 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 16 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 2 (cos.f64 x)) (+.f64 (pow.f64 (cos.f64 x) 2) 4))) |
(/.f64 (+.f64 8 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 4 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 2 (neg.f64 (cos.f64 x)))))) |
(/.f64 (+.f64 8 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (*.f64 1 (+.f64 4 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 2 (neg.f64 (cos.f64 x))))))) |
(/.f64 (-.f64 512 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))) (+.f64 64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 8 (pow.f64 (cos.f64 x) 3)))))) |
(/.f64 (-.f64 64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (+.f64 2 (cos.f64 x)) (+.f64 16 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) 4))))) |
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 2 (cos.f64 x)))) |
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2))) (*.f64 1 (neg.f64 (+.f64 2 (cos.f64 x))))) |
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3))) (*.f64 1 (neg.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))))) |
(/.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) 1) (+.f64 2 (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (+.f64 2 (cos.f64 x)))) (sqrt.f64 (+.f64 2 (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 2 (cos.f64 x))) (cbrt.f64 (+.f64 2 (cos.f64 x))))) (cbrt.f64 (+.f64 2 (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))))) (sqrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))))) |
(/.f64 (/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))))) (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))))) |
(pow.f64 (-.f64 2 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 2 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 2 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (-.f64 2 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 3)) |
(expm1.f64 (log.f64 (-.f64 3 (cos.f64 x)))) |
(exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 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 (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 (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 (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)) |
1 |
(+.f64 1 (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 1/2 (*.f64 x x))) |
(fma.f64 1/2 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))) (fma.f64 1/2 (*.f64 x x) 1)) |
(+.f64 (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)) (neg.f64 (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 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)) (*.f64 1 (neg.f64 (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 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)) (*.f64 (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 (neg.f64 (pow.f64 x -2)) (*.f64 (-.f64 2 (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 (pow.f64 x -2) 2) (*.f64 (pow.f64 x -2) (+.f64 -1 (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 (*.f64 (pow.f64 x -2) 2) (*.f64 (pow.f64 x -2) (neg.f64 (+.f64 (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) -1) (*.f64 (-.f64 2 (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 (-.f64 2 (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 (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 (/.f64 2 (*.f64 x x)) (/.f64 (+.f64 (cos.f64 x) 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 2 (*.f64 x x)) (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (neg.f64 (pow.f64 x -2)))) |
(+.f64 (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) (neg.f64 (pow.f64 x -2))) |
(-.f64 (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) (pow.f64 x -2)) |
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (pow.f64 x -2))) |
(+.f64 (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) (neg.f64 (pow.f64 x -2))) |
(-.f64 (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x 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)) |
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(/.f64 (+.f64 8 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 4 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 2 (neg.f64 (cos.f64 x)))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)) 4)) |
(/.f64 (+.f64 8 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (*.f64 1 (+.f64 4 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 2 (neg.f64 (cos.f64 x))))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)) 4)) |
(/.f64 (-.f64 512 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))) (+.f64 64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 8 (pow.f64 (cos.f64 x) 3)))))) |
(/.f64 (-.f64 512 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))) (+.f64 64 (*.f64 (pow.f64 (cos.f64 x) 3) (+.f64 8 (pow.f64 (cos.f64 x) 3)))))) |
(/.f64 (-.f64 512 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)) 4) (+.f64 64 (fma.f64 8 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6))))) |
(/.f64 (-.f64 64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (+.f64 2 (cos.f64 x)) (+.f64 16 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) 4))))) |
(/.f64 (-.f64 64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (+.f64 2 (cos.f64 x)) (+.f64 16 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 4 (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (-.f64 64 (pow.f64 (cos.f64 x) 6)) (*.f64 (+.f64 2 (cos.f64 x)) (fma.f64 (pow.f64 (cos.f64 x) 2) (+.f64 4 (pow.f64 (cos.f64 x) 2)) 16))) |
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 2 (cos.f64 x)))) |
(/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (+.f64 2 (cos.f64 x))) |
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2))) (*.f64 1 (neg.f64 (+.f64 2 (cos.f64 x))))) |
(/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (+.f64 2 (cos.f64 x))) |
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)) 4)) |
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3))) (*.f64 1 (neg.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)) 4)) |
(/.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) 1) (+.f64 2 (cos.f64 x))) |
(/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (+.f64 2 (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (+.f64 2 (cos.f64 x)))) (sqrt.f64 (+.f64 2 (cos.f64 x)))) |
(/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (+.f64 2 (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 2 (cos.f64 x))) (cbrt.f64 (+.f64 2 (cos.f64 x))))) (cbrt.f64 (+.f64 2 (cos.f64 x)))) |
(/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (+.f64 2 (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)) 4)) |
(/.f64 (/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))))) (sqrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)) 4)) |
(/.f64 (/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))))) (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)) 4)) |
(pow.f64 (-.f64 2 (cos.f64 x)) 1) |
(-.f64 2 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 2 (cos.f64 x))) 2) |
(-.f64 2 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 2 (cos.f64 x))) 3) |
(-.f64 2 (cos.f64 x)) |
(pow.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 3) 1/3) |
(-.f64 2 (cos.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 2)) |
(fabs.f64 (-.f64 2 (cos.f64 x))) |
(log.f64 (exp.f64 (-.f64 2 (cos.f64 x)))) |
(-.f64 2 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (cos.f64 x))))) |
(-.f64 2 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 3)) |
(-.f64 2 (cos.f64 x)) |
(expm1.f64 (log.f64 (-.f64 3 (cos.f64 x)))) |
(exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(-.f64 2 (cos.f64 x)) |
(log1p.f64 (expm1.f64 (-.f64 2 (cos.f64 x)))) |
(-.f64 2 (cos.f64 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)) |
| ✓ | 0.1b | (/.f64 1 (-.f64 1 (cos.f64 x))) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x) |
| 1.1b | (-.f64 1 (cos.f64 x)) |
Compiled 38 to 24 computations (36.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 1 (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x) |
| 1× | batch-egg-rewrite |
| 1198× | associate-/r/ |
| 820× | associate-/l/ |
| 796× | swap-sqr |
| 478× | distribute-lft-neg-in |
| 432× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 63 |
| 1 | 241 | 57 |
| 2 | 3326 | 57 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) 1) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 x 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(/.f64 x (-.f64 1 (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 1 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egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))))) |
| 1× | egg-herbie |
| 1172× | distribute-lft-in |
| 1102× | distribute-rgt-in |
| 962× | associate-/l/ |
| 936× | associate-/r/ |
| 458× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 406 | 5711 |
| 1 | 1123 | 5517 |
| 2 | 3775 | 5513 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 x) |
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/3024 (pow.f64 x 5))))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 2 (pow.f64 x 2)) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (*.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (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 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 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) 1) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x))) |
(+.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) 1)) |
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1)) |
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cos.f64 x))) |
(+.f64 (*.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (cos.f64 x) (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))))) |
(+.f64 (*.f64 (cos.f64 x) (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))))) |
(+.f64 (*.f64 1 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(+.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 1 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(+.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (cos.f64 x) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) 1) |
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (sqrt.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (cbrt.f64 x)))) |
(/.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(/.f64 (neg.f64 x) (+.f64 (cos.f64 x) -1)) |
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (/.f64 -1 x) (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3) 1/3) |
(neg.f64 (/.f64 x (+.f64 (cos.f64 x) -1))) |
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)) |
(log.f64 (exp.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3)))) |
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) (pow.f64 x 3))) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(exp.f64 (log.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) 1)) |
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1)) |
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cos.f64 x))) |
(+.f64 (*.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (cos.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(+.f64 (*.f64 (cos.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(+.f64 (*.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(+.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(+.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (cos.f64 x) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) 1) |
(*.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 1 (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) |
(*.f64 (/.f64 1 (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)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 -1 (/.f64 1 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (-.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 (cos.f64 x) -1)) -1) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) -1) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) -1) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) -1)) |
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (cos.f64 x)) -1)) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 -1 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (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 -1 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 -1 (neg.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 (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 (/.f64 1 (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))))) |
(pow.f64 (-.f64 1 (cos.f64 x)) -1) |
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 3) |
(pow.f64 (/.f64 1 (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 (-.f64 1 (cos.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) |
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) -1)) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (-.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 (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2)) |
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (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 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.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 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) x)) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (*.f64 (pow.f64 x -1/2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 x) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) x)) (pow.f64 x -1/2)) |
(*.f64 (/.f64 (pow.f64 x -1/2) x) (*.f64 (pow.f64 x -1/2) (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (pow.f64 x -1/2) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 x -1/2) x)) |
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) 1) (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x)) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) 1) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (cbrt.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))) (/.f64 1 (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 (/.f64 1 x) (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) -1) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)) -1) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 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 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1) |
(neg.f64 (/.f64 (/.f64 1 x) (/.f64 x (+.f64 (cos.f64 x) -1)))) |
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x))) |
(neg.f64 (*.f64 (/.f64 (/.f64 1 x) (/.f64 x (+.f64 (cos.f64 x) -1))) 1)) |
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(neg.f64 (*.f64 1 (/.f64 (/.f64 1 x) (/.f64 x (+.f64 (cos.f64 x) -1))))) |
(neg.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2)) |
(log.f64 (exp.f64 (*.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 x -2) (*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3) x))) |
(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)))) |
| Outputs |
|---|
(/.f64 2 x) |
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) |
(fma.f64 1/6 x (/.f64 2 x)) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 1/6 x (/.f64 2 x))) |
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 x 1/6 (/.f64 2 x))) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/3024 (pow.f64 x 5))))) |
(fma.f64 1/120 (pow.f64 x 3) (+.f64 (fma.f64 1/6 x (/.f64 2 x)) (*.f64 1/3024 (pow.f64 x 5)))) |
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 x 1/6 (fma.f64 1/3024 (pow.f64 x 5) (/.f64 2 x)))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
(fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (*.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (fma.f64 1/3024 (pow.f64 x 4) (/.f64 2 (*.f64 x x))))) |
(+.f64 (fma.f64 2 (pow.f64 x -2) (*.f64 1/3024 (pow.f64 x 4))) (fma.f64 1/120 (*.f64 x x) 1/6)) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 (*.f64 x x) -1/24)) |
(fma.f64 (*.f64 x x) -1/24 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))) |
(+.f64 1/2 (fma.f64 (*.f64 x x) -1/24 (*.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 1/2 (fma.f64 (*.f64 x x) -1/24 (fma.f64 (pow.f64 x 4) 1/720 (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 (*.f64 x x) -1/24 1/2) (fma.f64 (pow.f64 x 4) 1/720 (*.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 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) 1) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x))) |
(*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(+.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) 1)) |
(*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
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(*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (+.f64 x (*.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1)) |
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (+.f64 x (*.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cos.f64 x))) |
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (+.f64 x (*.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(+.f64 (*.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (cos.f64 x) (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(+.f64 (*.f64 (cos.f64 x) (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(+.f64 (*.f64 1 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (+.f64 x (*.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(+.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 1 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (+.f64 x (*.f64 x (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 (cos.f64 x) 2)) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (cos.f64 x) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (+.f64 x (*.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) 1) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) |
(/.f64 (sqrt.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sqrt.f64 x) (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sqrt.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x)))) |
(/.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) x) |
(/.f64 (neg.f64 x) (+.f64 (cos.f64 x) -1)) |
(/.f64 (neg.f64 x) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) x) |
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (/.f64 -1 x) (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(/.f64 1 (*.f64 (*.f64 (/.f64 -1 x) (cbrt.f64 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (neg.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) x) |
(/.f64 (*.f64 -1 (/.f64 x (cbrt.f64 (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 3) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3) 1/3) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(neg.f64 (/.f64 x (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) x) |
(/.f64 (neg.f64 x) (+.f64 (cos.f64 x) -1)) |
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)) |
(fabs.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) |
(log.f64 (exp.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3)) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3)))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) (pow.f64 x 3))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(exp.f64 (log.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 1)) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x))) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) 1)) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (+.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 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1)) |
(/.f64 (+.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 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cos.f64 x))) |
(/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(+.f64 (*.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (cos.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
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(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(+.f64 (*.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(+.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (+.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 (cos.f64 x) 2)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (cos.f64 x) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) 1) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 1 (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (cbrt.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.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 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2))) |
(*.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 (pow.f64 x -2)) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 x -2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) |
(*.f64 (/.f64 (pow.f64 x -2) -1) (+.f64 (cos.f64 x) -1)) |
(/.f64 (*.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1)) (neg.f64 x)) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (neg.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (neg.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2))) |
(*.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 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)) -1) |
(/.f64 (*.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1)) (neg.f64 x)) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (neg.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 x) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) |
(pow.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)) |
(pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.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 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 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 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (*.f64 x (/.f64 x (-.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)) |
(neg.f64 (/.f64 (/.f64 1 x) (/.f64 x (+.f64 (cos.f64 x) -1)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x))) |
(/.f64 (*.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1)) (neg.f64 x)) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (neg.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (neg.f64 x))) |
(neg.f64 (*.f64 (/.f64 (/.f64 1 x) (/.f64 x (+.f64 (cos.f64 x) -1))) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(neg.f64 (*.f64 1 (/.f64 (/.f64 1 x) (/.f64 x (+.f64 (cos.f64 x) -1))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(neg.f64 (/.f64 (/.f64 -1 x) (/.f64 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)) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2)) |
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(log.f64 (exp.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)) |
(log.f64 (+.f64 1 (expm1.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)) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(cbrt.f64 (/.f64 (pow.f64 x -2) (*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3) x))) |
(cbrt.f64 (/.f64 (pow.f64 x -2) (*.f64 x (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3)))) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) (pow.f64 x 4)) (pow.f64 (-.f64 1 (cos.f64 x)) 3))) |
(expm1.f64 (log1p.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)) |
(exp.f64 (log.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)) |
(exp.f64 (*.f64 (log.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)) |
(log1p.f64 (expm1.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)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sin.f64 x) | |
| ✓ | 0.1b | (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x) |
| ✓ | 0.1b | (/.f64 x (tan.f64 (*.f64 x 1/2))) |
| ✓ | 0.4b | (/.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) |
| 1.0ms | 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 (/.f64 x (tan.f64 (*.f64 x 1/2))) x) |
| 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 |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((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 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(tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))))) 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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))) |
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(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))) |
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(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x))) |
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x))) 2)) |
(fabs.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x))) |
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(log.f64 (+.f64 1 (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)) |
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3)) |
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x))) |
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3))) |
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x))) |
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 3))) |
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x))) |
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(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)) |
Compiled 26172 to 15881 computations (39.3% saved)
24 alts after pruning (13 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1333 | 5 | 1338 |
| Fresh | 2 | 8 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 10 | 10 |
| Total | 1335 | 24 | 1359 |
| Status | Error | Program |
|---|---|---|
| ✓ | 29.9b | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
| 30.5b | (/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 (+.f64 x x))) -2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) | |
| 29.5b | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) | |
| ✓ | 0.1b | (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
| ✓ | 29.5b | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| ✓ | 48.1b | (/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x))) |
| 12.3b | (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) | |
| 29.3b | (/.f64 (/.f64 1 x) (*.f64 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) x)) | |
| 48.5b | (/.f64 (/.f64 1 x) (*.f64 (/.f64 2 (*.f64 x x)) x)) | |
| ✓ | 29.5b | (/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)) |
| 28.2b | (/.f64 (/.f64 1 x) (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) x)) | |
| ✓ | 30.4b | (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
| ✓ | 30.4b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 30.4b | (/.f64 (+.f64 (/.f64 1 (/.f64 -1 (cos.f64 x))) 1) (*.f64 x x)) | |
| 29.5b | (/.f64 (*.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1)) (neg.f64 x)) | |
| ✓ | 16.4b | (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (*.f64 x x) (sin.f64 x))) |
| ✓ | 0.5b | (/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)) |
| 30.5b | (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 x x))) | |
| 30.3b | (+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) | |
| ✓ | 33.0b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 16.4b | (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) | |
| ✓ | 0.1b | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
| 32.0b | 1/2 | |
| 43.6b | 0 |
Compiled 282 to 198 computations (29.8% saved)
| Inputs |
|---|
0 |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (*.f64 (/.f64 2 (*.f64 x x)) x)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x))) |
(/.f64 (/.f64 1 x) (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) x)) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.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))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1)) (neg.f64 x)) |
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (+.f64 (/.f64 1 (/.f64 -1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (+.f64 (/.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))) 1) (*.f64 x x)) |
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 x x))) |
(+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) |
(/.f64 (/.f64 1 x) (*.f64 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) x)) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 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 (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 (tan.f64 (/.f64 x 2)) (/.f64 (*.f64 x x) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 (+.f64 x x))) -2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 1 (cos.f64 x))))) (*.f64 x x)) |
(/.f64 (*.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 x x)) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
2 calls:
| 38.0ms | x |
| 6.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 536 to 301 computations (43.8% saved)
| Inputs |
|---|
0 |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (*.f64 (/.f64 2 (*.f64 x x)) x)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x))) |
(/.f64 (/.f64 1 x) (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) x)) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.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))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1)) (neg.f64 x)) |
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (+.f64 (/.f64 1 (/.f64 -1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (+.f64 (/.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))) 1) (*.f64 x x)) |
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 x x))) |
(+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) |
(/.f64 (/.f64 1 x) (*.f64 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) x)) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 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) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
2 calls:
| 34.0ms | x |
| 14.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 3 | x |
| 0.5b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 310 to 184 computations (40.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.005981845130996358 | 2.5322092616681093 |
| 21.0ms | -378.5504482150359 | -1.2811066472680548e-5 |
| 34.0ms | 272× | body | 256 | valid |
Compiled 540 to 425 computations (21.3% saved)
| Inputs |
|---|
0 |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (*.f64 (/.f64 2 (*.f64 x x)) x)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x))) |
(/.f64 (/.f64 1 x) (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) x)) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.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))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1)) (neg.f64 x)) |
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (+.f64 (/.f64 1 (/.f64 -1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (+.f64 (/.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))) 1) (*.f64 x x)) |
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 x x))) |
(+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) |
(/.f64 (/.f64 1 x) (*.f64 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) x)) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))))) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))))) |
(/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)) |
2 calls:
| 217.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 48.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
| 0.5b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 282 to 169 computations (40.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 127.0ms | 0.005981845130996358 | 2.5322092616681093 |
| 23.0ms | -378.5504482150359 | -1.2811066472680548e-5 |
| 145.0ms | 272× | body | 256 | valid |
Compiled 572 to 449 computations (21.5% saved)
| Inputs |
|---|
0 |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (*.f64 (/.f64 2 (*.f64 x x)) x)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x))) |
(/.f64 (/.f64 1 x) (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) x)) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.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))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1)) (neg.f64 x)) |
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (+.f64 (/.f64 1 (/.f64 -1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (+.f64 (/.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))) 1) (*.f64 x x)) |
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 x x))) |
(+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) |
(/.f64 (/.f64 1 x) (*.f64 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) x)) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)) |
2 calls:
| 199.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 52.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
| 0.6b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 263 to 154 computations (41.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.0283127181926763e-5 | 0.005981845130996358 |
| 19.0ms | -378.5504482150359 | -1.2811066472680548e-5 |
| 32.0ms | 272× | body | 256 | valid |
Compiled 368 to 279 computations (24.2% saved)
| Inputs |
|---|
0 |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (*.f64 (/.f64 2 (*.f64 x x)) x)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x))) |
(/.f64 (/.f64 1 x) (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) x)) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.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))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1)) (neg.f64 x)) |
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (+.f64 (/.f64 1 (/.f64 -1 (cos.f64 x))) 1) (*.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) (/.f64 1 x)) |
2 calls:
| 24.0ms | x |
| 9.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
| 0.6b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 178 to 107 computations (39.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.0283127181926763e-5 | 0.005981845130996358 |
| 21.0ms | -378.5504482150359 | -1.2811066472680548e-5 |
| 34.0ms | 272× | body | 256 | valid |
Compiled 352 to 263 computations (25.3% saved)
| Inputs |
|---|
0 |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (*.f64 (/.f64 2 (*.f64 x x)) x)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x))) |
(/.f64 (/.f64 1 x) (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) x)) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.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))) |
| 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:
| 18.0ms | x |
| 9.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
| 0.6b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 102 to 63 computations (38.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.0283127181926763e-5 | 0.005981845130996358 |
| 21.0ms | -378.5504482150359 | -1.2811066472680548e-5 |
| 34.0ms | 272× | body | 256 | valid |
Compiled 336 to 247 computations (26.5% saved)
| Inputs |
|---|
0 |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (*.f64 (/.f64 2 (*.f64 x x)) x)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x))) |
(/.f64 (/.f64 1 x) (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) x)) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.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:
| 16.0ms | x |
| 8.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 3 | x |
| 0.6b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 84 to 54 computations (35.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.0283127181926763e-5 | 0.005981845130996358 |
| 22.0ms | -378.5504482150359 | -1.2811066472680548e-5 |
| 33.0ms | 272× | body | 256 | valid |
Compiled 336 to 247 computations (26.5% saved)
| Inputs |
|---|
0 |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (*.f64 (/.f64 2 (*.f64 x x)) x)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x))) |
(/.f64 (/.f64 1 x) (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) x)) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
| Outputs |
|---|
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
1 calls:
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 12.3b | 1 | x |
Compiled 67 to 44 computations (34.3% saved)
| Inputs |
|---|
0 |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (*.f64 (/.f64 2 (*.f64 x x)) x)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x))) |
(/.f64 (/.f64 1 x) (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) x)) |
| Outputs |
|---|
(/.f64 (/.f64 1 x) (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) x)) |
1 calls:
| 16.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 12.3b | 3 | x |
Compiled 54 to 34 computations (37% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.005981845130996358 | 2.5322092616681093 |
| 20.0ms | -378.5504482150359 | -1.2811066472680548e-5 |
| 34.0ms | 272× | body | 256 | valid |
Compiled 421 to 315 computations (25.2% saved)
Total -49.5b remaining (-359.9%)
Threshold costs -49.5b (-359.9%)
| Inputs |
|---|
0 |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (*.f64 (/.f64 2 (*.f64 x x)) x)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x))) |
| Outputs |
|---|
0 |
1/2 |
0 |
1 calls:
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.8b | 3 | x |
Compiled 41 to 26 computations (36.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 2.8077095823944887e+73 | 9.509593290281157e+103 |
| 27.0ms | -1.4728335513623665e+78 | -1.561309497788259e+75 |
| 35.0ms | 160× | body | 512 | valid |
| 21.0ms | 144× | body | 256 | valid |
Compiled 127 to 123 computations (3.1% saved)
| 1× | egg-herbie |
| 22× | *-commutative |
| 12× | +-commutative |
| 8× | if-if-or-not |
| 4× | sub-neg |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 741 |
| 1 | 108 | 741 |
| 2 | 112 | 741 |
| 3 | 114 | 741 |
| 4 | 115 | 741 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(if (<=.f64 x -7638104968020361/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 7782220156096217/288230376151711744) (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))))) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(if (<=.f64 x -7638104968020361/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 7782220156096217/288230376151711744) (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))))) (/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)))) |
(if (<=.f64 x -4842270319348757/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)))) |
(if (<=.f64 x -4842270319348757/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))) |
(if (<=.f64 x -4842270319348757/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -4842270319348757/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(if (<=.f64 x -2) (/.f64 (/.f64 1 x) (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) x)) (if (<=.f64 x 2) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 1 x) (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) x)))) |
(if (<=.f64 x -65000000000000004665846786492845798837099501492295702490014605759631457255424) 0 (if (<=.f64 x 59999999999999996395855892718367073181509239082549374496860282078218155982848) 1/2 0)) |
0 |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(if (<=.f64 x -7638104968020361/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 7782220156096217/288230376151711744) (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))))) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(if (<=.f64 x -7638104968020361/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 7782220156096217/288230376151711744) (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 x 1/6) (*.f64 (/.f64 1 x) 2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(if (<=.f64 x -7638104968020361/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 7782220156096217/288230376151711744) (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))))) (/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)))) |
(if (<=.f64 x -7638104968020361/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 7782220156096217/288230376151711744) (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 x 1/6) (*.f64 (/.f64 1 x) 2)))) (/.f64 (/.f64 1 x) (*.f64 x (/.f64 1 (-.f64 1 (cos.f64 x))))))) |
(if (<=.f64 x -4842270319348757/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)))) |
(if (<=.f64 x -4842270319348757/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 1 x) (*.f64 x (/.f64 1 (-.f64 1 (cos.f64 x))))))) |
(if (<=.f64 x -4842270319348757/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))) |
(if (<=.f64 x -4842270319348757/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (or (<=.f64 x -4842270319348757/1152921504606846976) (not (<=.f64 x 5534023222112865/1152921504606846976))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(if (<=.f64 x -4842270319348757/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(if (or (<=.f64 x -4842270319348757/1152921504606846976) (not (<=.f64 x 5534023222112865/1152921504606846976))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (*.f64 (/.f64 1 x) 2))) |
(if (<=.f64 x -2) (/.f64 (/.f64 1 x) (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) x)) (if (<=.f64 x 2) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 1 x) (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) x)))) |
(if (or (<=.f64 x -2) (not (<=.f64 x 2))) (/.f64 (/.f64 1 x) (*.f64 x (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(if (<=.f64 x -65000000000000004665846786492845798837099501492295702490014605759631457255424) 0 (if (<=.f64 x 59999999999999996395855892718367073181509239082549374496860282078218155982848) 1/2 0)) |
0 |
Compiled 282 to 202 computations (28.4% 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 272 to 183 computations (32.7% saved)
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