Time bar (total: 11.8s)
| 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 | 2093× | body | 2048 | valid |
| 391.0ms | 3411× | body | 256 | valid |
| 377.0ms | 1545× | body | 512 | valid |
| 356.0ms | 1112× | body | 1024 | valid |
| 67.0ms | 95× | 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 |
|---|---|---|
| ▶ | 33.8b | (/.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)) |
| ✓ | 18.1b | (/.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)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 186 | 12 | 198 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 186 | 13 | 199 |
| Status | Error | Program |
|---|---|---|
| ▶ | 33.0b | (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
| 34.0b | (/.f64 (/.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 x x)) | |
| ✓ | 33.8b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| ▶ | 18.7b | (/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x)) |
| 19.4b | (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2))) | |
| ▶ | 18.6b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 33.4b | (-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) | |
| ▶ | 29.5b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 33.5b | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) | |
| ▶ | 33.0b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| 33.8b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) | |
| 42.3b | (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) | |
| 28.7b | 1/2 |
Compiled 355 to 234 computations (34.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| ✓ | 18.0b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
Compiled 33 to 18 computations (45.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| 0.0ms | x | @ | inf | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| 1× | batch-egg-rewrite |
| 960× | unswap-sqr |
| 834× | swap-sqr |
| 410× | sqr-pow |
| 408× | pow-sqr |
| 382× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 54 |
| 1 | 239 | 54 |
| 2 | 3327 | 54 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| Outputs |
|---|
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(sqrt.f64 (*.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 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(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))))) (#(struct:change #<rule egg-rr> (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))))) (#(struct:change #<rule egg-rr> (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))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))))) |
| 1× | egg-herbie |
| 1428× | associate-/r* |
| 1248× | associate-/l/ |
| 824× | distribute-rgt-in |
| 818× | distribute-lft-in |
| 728× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 284 | 5218 |
| 1 | 760 | 4964 |
| 2 | 3094 | 4964 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) |
(*.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 x -2))) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (/.f64 1 (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 4)) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))) (sin.f64 x)) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) x) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (pow.f64 (cbrt.f64 x) 4)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) 1)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 x x)) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6)) |
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2)) |
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) 1)) |
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 x (neg.f64 x))))) |
(neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x x))) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) |
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))) |
(*.f64 (*.f64 (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))))))) |
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(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
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(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
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(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) 1)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)) |
(fabs.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))) |
(fabs.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
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(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))) |
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(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3)) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1)) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 -1/24 (*.f64 x x)) |
Compiled 19 to 10 computations (47.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 -1/24 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 -1/24 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 -1/24 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1080× | add-sqr-sqrt |
| 1058× | *-un-lft-identity |
| 1006× | pow1 |
| 990× | add-cube-cbrt |
| 982× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 122 | 13 |
| 2 | 1411 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/24 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/576 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1470× | distribute-rgt-in |
| 1446× | distribute-lft-in |
| 1164× | log-prod |
| 760× | associate-*r* |
| 696× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 299 |
| 1 | 93 | 299 |
| 2 | 348 | 299 |
| 3 | 1913 | 299 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2) |
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3) |
(sqrt.f64 (*.f64 1/576 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(sqrt.f64 (*.f64 1/576 (pow.f64 x 4))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (-.f64 1 (cos.f64 x)) x) |
| ✓ | 0.1b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| 1.1b | (-.f64 1 (cos.f64 x)) |
Compiled 28 to 16 computations (42.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 (cos.f64 x)) x) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 (cos.f64 x)) x) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 (cos.f64 x)) x) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1518× | associate-/l* |
| 1508× | associate-/r* |
| 1040× | *-commutative |
| 644× | associate-/l/ |
| 484× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 40 |
| 1 | 218 | 40 |
| 2 | 2976 | 40 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x)))))) (#(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 x x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (neg.f64 x)) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (neg.f64 (*.f64 x x)) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(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 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 x (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))))))) 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| 1× | egg-herbie |
| 1444× | associate-/l* |
| 1088× | times-frac |
| 1020× | associate-/r* |
| 712× | associate-/l/ |
| 654× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 615 | 10371 |
| 1 | 1850 | 9903 |
| 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 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
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(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
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(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) -1) x) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) 1) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) 1) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 -1 (+.f64 -1 (cos.f64 x))) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1) (neg.f64 x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) -1) x) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.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) |
(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 (-.f64 1 (cos.f64 x)) x) 3) (/.f64 1 (pow.f64 x 3)))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (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 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 1 x) (*.f64 1 (neg.f64 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) |
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) 1)) |
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x))) |
(+.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(+.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x)) |
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x)) (/.f64 1 x)) |
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (neg.f64 (/.f64 (cos.f64 x) x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x))) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) |
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (pow.f64 x -1/2) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2))) |
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)) (pow.f64 x -1/2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x))) |
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (pow.f64 x -1/2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 1 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) -1) |
(*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.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 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.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) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1)) |
(*.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))) |
(*.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 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 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 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.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 (+.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))))) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/3) |
(pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3)) |
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (-.f64 1 (cos.f64 x)) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(fma.f64 1 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x))) |
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (/.f64 (cos.f64 x) x))) |
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (/.f64 (cos.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))) |
(+.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 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5))))) |
(+.f64 (pow.f64 x -2) (*.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x)))) |
(+.f64 (pow.f64 x -2) (/.f64 (neg.f64 (/.f64 (cos.f64 x) x)) x)) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x))) |
(+.f64 (pow.f64 x -2) (/.f64 (neg.f64 (/.f64 (cos.f64 x) x)) x)) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(+.f64 (pow.f64 x -2) (/.f64 (neg.f64 (/.f64 (cos.f64 x) x)) x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 1 (/.f64 (*.f64 x (neg.f64 x)) (+.f64 -1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 1 (/.f64 (neg.f64 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 1 (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 1 (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))) |
(/.f64 (/.f64 1 x) (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) -1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.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)) (pow.f64 x -2)) |
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (pow.f64 x -1/2) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))) |
(/.f64 (pow.f64 x -1/2) (/.f64 (*.f64 x (sqrt.f64 x)) (-.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 x -1/2) (*.f64 x (sqrt.f64 x)))) |
(/.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)) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1)) x) |
(/.f64 (pow.f64 x -1/2) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) |
(/.f64 (pow.f64 x -1/2) (/.f64 (*.f64 x (sqrt.f64 x)) (-.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 x -1/2) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
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(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (pow.f64 x -1/2) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1)) |
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sqrt.f64 x) (pow.f64 x -1/2))) |
(*.f64 (/.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))) x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 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) x)) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)) (pow.f64 x -1/2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (*.f64 (/.f64 1 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))) x)) |
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 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) x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (pow.f64 x -1/2)) |
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sqrt.f64 x) (pow.f64 x -1/2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) -1) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.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))) x)) |
(*.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 x))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.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 x))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 x) (/.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) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 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) x)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1)) |
(*.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 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) 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))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x))) (sqrt.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 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x))) (sqrt.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))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 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) x)) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 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) x)) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 (*.f64 (/.f64 1 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 1 x) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 x (sin.f64 x))) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x) (/.f64 (-.f64 1 (*.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.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 (+.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 (*.f64 (*.f64 (/.f64 1 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 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x) (+.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))))) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) 3))) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 3) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/3) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (-.f64 1 (cos.f64 x)) 3))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 3))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(fma.f64 1 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (/.f64 (cos.f64 x) x))) |
(-.f64 (pow.f64 x -1) (/.f64 (cos.f64 x) x)) |
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (/.f64 (cos.f64 x) x))) |
(-.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2))) (/.f64 (cos.f64 x) x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (sqrt.f64 (-.f64 1 (cos.f64 x))) |
| ✓ | 0.1b | (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
| ✓ | 0.2b | (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
| 1.1b | (-.f64 1 (cos.f64 x)) |
Compiled 31 to 19 computations (38.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
| 1.0ms | x | @ | 0 | (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
| 1.0ms | x | @ | -inf | (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
| 0.0ms | x | @ | 0 | (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (-.f64 1 (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 980× | associate-*r/ |
| 904× | *-commutative |
| 762× | associate-/r* |
| 746× | associate-*l/ |
| 622× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 63 |
| 1 | 229 | 59 |
| 2 | 2799 | 59 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(sqrt.f64 (-.f64 1 (cos.f64 x))) |
| Outputs |
|---|
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(-.f64 1 (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 /.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))))) |
| 1× | egg-herbie |
| 1788× | times-frac |
| 1188× | associate-/r* |
| 854× | associate-/l/ |
| 828× | associate-*r/ |
| 818× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 673 | 14691 |
| 1 | 1917 | 13367 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 1/2) 2) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (pow.f64 (sqrt.f64 1/2) 2)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2304 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 2))) 1/720) (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 4)) (pow.f64 (sqrt.f64 1/2) 2))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2304 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 2))) 1/720) (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 4)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 1/40320 (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 x 6)) (pow.f64 (sqrt.f64 1/2) 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 1 (cos.f64 x)) (pow.f64 x 2)) |
(sqrt.f64 1/2) |
(+.f64 (sqrt.f64 1/2) (*.f64 -1/48 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2)))) |
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 4)) (sqrt.f64 1/2))) (*.f64 -1/48 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2))))) |
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 4)) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/40320 (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 x 6)) (sqrt.f64 1/2)))))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(*.f64 (sqrt.f64 1/2) x) |
(+.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 5)) (sqrt.f64 1/2))) (+.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/40320 (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 x 7)) (sqrt.f64 1/2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 5)) (sqrt.f64 1/2))) (+.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2)))))) |
(-.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 (/.f64 1 x) x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (/.f64 1 x) 2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 -1 x) (/.f64 -1 x))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) x) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 4))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 4)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x))) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(*.f64 (pow.f64 (/.f64 1 x) 2) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (neg.f64 x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 x (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) 1)) (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) x) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) x))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (pow.f64 (cbrt.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (cbrt.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (cbrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1)) (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 1 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) 1)) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 x))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (pow.f64 (-.f64 1 (cos.f64 x)) 1/4)))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4)))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) x))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (/.f64 (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4)))) |
(/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(/.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 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))) |
(/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.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))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) |
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(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (sqrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) x) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 x x) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
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(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 x))) |
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(/.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
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(/.f64 (pow.f64 1 1/2) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1/2) (/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1/2))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x (neg.f64 x))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4)) (/.f64 x (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) x) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) -1) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
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(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4)) (sqrt.f64 x)) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) x) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) (/.f64 x 1)) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1) (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 x)) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 x (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))) |
(/.f64 (*.f64 -1 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (/.f64 1 x) x)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (/.f64 1 x) x)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
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(/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 1 x) x)) (+.f64 (neg.f64 (cos.f64 x)) -1)) |
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(/.f64 (*.f64 1 (pow.f64 (/.f64 1 x) 2)) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (/.f64 1 x) 2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (/.f64 1 x) 2)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 (/.f64 1 x) 2)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (/.f64 1 x) 2)) (+.f64 (neg.f64 (cos.f64 x)) -1)) |
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(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 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))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 x (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) x) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) 1) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 x (neg.f64 x))) |
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(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) (sqrt.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
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(/.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 x (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
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(/.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 x) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))) (/.f64 (sqrt.f64 x) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))) (/.f64 (cbrt.f64 x) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) x) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) 1) (neg.f64 x)) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) -1) x) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(neg.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(neg.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 x)))) |
(neg.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 x)) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 4)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) 1) |
(*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 1) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) x)) |
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 -1 x)) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 4))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 4)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) x) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4)) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) x) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) 1)) |
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 x) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) x)) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (cbrt.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 1) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1/2) |
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 3) 1/3) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1) |
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)) |
(neg.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 x)) 1)) |
(neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 -1 x))) |
(neg.f64 (*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 x)))) |
(sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(fabs.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) 1) |
(*.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 1 1/2)) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4)) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (neg.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 (cbrt.f64 (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 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) (neg.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))) |
(*.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4)) (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))) |
(*.f64 (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1/2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1/2)) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4)) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (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 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 1 (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 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (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 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (pow.f64 1 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 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (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))) 1) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (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 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1/2) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2) 1/3) |
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(fabs.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1/2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
| Outputs |
|---|
(pow.f64 (sqrt.f64 1/2) 2) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (pow.f64 (sqrt.f64 1/2) 2)) |
(fma.f64 -1/24 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 2)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2304 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 2))) 1/720) (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 4)) (pow.f64 (sqrt.f64 1/2) 2))) |
(fma.f64 -1/24 (*.f64 x x) (fma.f64 (+.f64 (/.f64 1/2304 (pow.f64 (sqrt.f64 1/2) 2)) (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2))) (pow.f64 x 4) (pow.f64 (sqrt.f64 1/2) 2))) |
(fma.f64 -1/24 (*.f64 x x) (fma.f64 (-.f64 (+.f64 (/.f64 1/2304 (pow.f64 (sqrt.f64 1/2) 2)) 1/720) (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 4) (pow.f64 (sqrt.f64 1/2) 2))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2304 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 2))) 1/720) (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 4)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 1/40320 (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 x 6)) (pow.f64 (sqrt.f64 1/2) 2)))) |
(fma.f64 -1/24 (*.f64 x x) (fma.f64 (+.f64 (/.f64 1/2304 (pow.f64 (sqrt.f64 1/2) 2)) (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2))) (pow.f64 x 4) (fma.f64 (fma.f64 -1 (+.f64 1/40320 (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 x 6) (pow.f64 (sqrt.f64 1/2) 2)))) |
(fma.f64 -1/24 (*.f64 x x) (fma.f64 (-.f64 (+.f64 (/.f64 1/2304 (pow.f64 (sqrt.f64 1/2) 2)) 1/720) (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 4) (fma.f64 (-.f64 (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))) (+.f64 1/40320 (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (pow.f64 x 6) (pow.f64 (sqrt.f64 1/2) 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)) (*.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)) |
(sqrt.f64 1/2) |
(+.f64 (sqrt.f64 1/2) (*.f64 -1/48 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2)))) |
(+.f64 (sqrt.f64 1/2) (*.f64 -1/48 (/.f64 (*.f64 x x) (sqrt.f64 1/2)))) |
(+.f64 (sqrt.f64 1/2) (/.f64 (*.f64 -1/48 (*.f64 x x)) (sqrt.f64 1/2))) |
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 4)) (sqrt.f64 1/2))) (*.f64 -1/48 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2))))) |
(+.f64 (sqrt.f64 1/2) (fma.f64 1/2 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (pow.f64 x 4))) (*.f64 -1/48 (/.f64 (*.f64 x x) (sqrt.f64 1/2))))) |
(+.f64 (sqrt.f64 1/2) (fma.f64 1/2 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (pow.f64 x 4))) (/.f64 (*.f64 -1/48 (*.f64 x x)) (sqrt.f64 1/2)))) |
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 4)) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/40320 (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 x 6)) (sqrt.f64 1/2)))))) |
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(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)) |
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(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
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(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
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(/.f64 (/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1) (sqrt.f64 x)) x) (sqrt.f64 x)) |
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(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
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(*.f64 (/.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
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(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) x) |
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(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (sqrt.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1) (sqrt.f64 x)) x) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
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(/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
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(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) 1) (sqrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4)) (sqrt.f64 x)) |
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(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (/.f64 (*.f64 x (sqrt.f64 x)) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (sqrt.f64 (neg.f64 x))) |
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(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) (/.f64 x 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (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 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
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(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (/.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
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(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
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(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (/.f64 1 x) x)) (+.f64 1 (cos.f64 x))) |
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(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 x))) |
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(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
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(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 3) 1/3) |
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(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1) |
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(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(neg.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 x)) 1)) |
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(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(neg.f64 (*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
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(fabs.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
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(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
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(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (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 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (fabs.f64 (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 1 (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 (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 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (fabs.f64 (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (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 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (pow.f64 1 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 (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 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (fabs.f64 (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (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 (sin.f64 x) (sin.f64 x))) 1) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (fabs.f64 (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (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 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1/2) |
(sqrt.f64 (-.f64 1 (cos.f64 x))) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) |
(sqrt.f64 (-.f64 1 (cos.f64 x))) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) 2) |
(sqrt.f64 (-.f64 1 (cos.f64 x))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) 3) |
(sqrt.f64 (-.f64 1 (cos.f64 x))) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2)) |
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(sqrt.f64 (-.f64 1 (cos.f64 x))) |
(fabs.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(sqrt.f64 (-.f64 1 (cos.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(sqrt.f64 (-.f64 1 (cos.f64 x))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(sqrt.f64 (-.f64 1 (cos.f64 x))) |
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1/2)) |
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x))))) |
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/2) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(sqrt.f64 (-.f64 1 (cos.f64 x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
| ✓ | 0.2b | (*.f64 (sin.f64 x) (sin.f64 x)) |
| ✓ | 0.4b | (+.f64 1 (cos.f64 x)) |
| ✓ | 18.0b | (/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x)) |
Compiled 53 to 23 computations (56.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x)) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 1456× | associate-/r/ |
| 1274× | associate-/l/ |
| 790× | distribute-lft-in |
| 302× | add-sqr-sqrt |
| 292× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 88 |
| 1 | 290 | 56 |
| 2 | 4436 | 56 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x)) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (sin.f64 x) (sin.f64 x)) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (neg.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x 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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 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (pow.f64 (pow.f64 (sin.f64 x) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (/.f64 1 (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 |
| 1382× | associate-*r* |
| 1368× | associate-*l* |
| 1250× | associate-/r* |
| 1100× | associate-/l* |
| 794× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 688 | 10736 |
| 1 | 2148 | 10180 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) 1) |
(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 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x))))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1/2) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (*.f64 -1/2 (cos.f64 (+.f64 x x))))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1/2) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (neg.f64 (*.f64 1/2 (cos.f64 (+.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 (+.f64 1 (cos.f64 x))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (pow.f64 x -2) (pow.f64 (sin.f64 x) 2))) |
(*.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 (*.f64 x x) (+.f64 1 (cos.f64 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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (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 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (+.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) x)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (/.f64 1 (+.f64 x (*.f64 x (cos.f64 x))))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 1 (*.f64 x (neg.f64 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 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (*.f64 (pow.f64 x -2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 -1 (*.f64 (cbrt.f64 (pow.f64 x 4)) (-.f64 -1 (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (pow.f64 x 4))) (/.f64 -1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 -1 (cos.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (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) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(*.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 (sin.f64 x) (+.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (*.f64 (/.f64 (*.f64 x x) 1) (+.f64 1 (cos.f64 x)))) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 x (neg.f64 x))) (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) 1)) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x))) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) -1/2) (*.f64 (/.f64 x (pow.f64 (sin.f64 x) 2)) x)) (pow.f64 (+.f64 1 (cos.f64 x)) -1/2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) -2)) (*.f64 (/.f64 x (pow.f64 (sin.f64 x) 2)) x)) (/.f64 1 (cbrt.f64 (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (*.f64 x x)) (sin.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 (cos.f64 x) (-.f64 (cos.f64 x) 1))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.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)) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) (pow.f64 (+.f64 1 (cos.f64 x)) -1/2)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (-.f64 -1 (cos.f64 x))) -1) |
(*.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 (cos.f64 x) (-.f64 (cos.f64 x) 1))))) |
(*.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)) |
(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 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2)) |
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(-.f64 (+.f64 1 (cos.f64 x)) 0) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (cos.f64 x)))) 1) |
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))) |
(-.f64 (+.f64 2 (cos.f64 x)) 1) |
(*.f64 1 (+.f64 1 (cos.f64 x))) |
(*.f64 1 (neg.f64 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (+.f64 1 (cos.f64 x)) 1) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (hypot.f64 1 (sqrt.f64 (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)))) |
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(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 1 (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x)))) |
(/.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 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x))))) (*.f64 (+.f64 1 (cos.f64 x)) (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 (*.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))) |
(/.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 1/8 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 3)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (+.f64 1/4 (*.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 (pow.f64 (cos.f64 0) 3) (pow.f64 (cos.f64 (+.f64 x x)) 3)) (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) 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))))))) |
(/.f64 (*.f64 -1 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 -1 (cos.f64 x)) 2)) |
(/.f64 (*.f64 -1 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (*.f64 1 (*.f64 (-.f64 -1 (cos.f64 x)) 2))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 1) (+.f64 2 (*.f64 2 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 1) (*.f64 1 (+.f64 2 (*.f64 2 (cos.f64 x))))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) -1) (*.f64 2 (-.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) -1) (*.f64 1 (*.f64 2 (-.f64 -1 (cos.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (*.f64 (+.f64 1 (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) |
(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 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (pow.f64 (pow.f64 (sin.f64 x) 2) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (/.f64 1 (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 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 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 2 (*.f64 -1/2 (*.f64 x x))) |
(+.f64 2 (*.f64 x (*.f64 x -1/2))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/24))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/720)))) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))) |
(+.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)))) |
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x)))) |
(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 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 -1 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x)))))) |
(+.f64 (pow.f64 x -2) (*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (pow.f64 x -2) (neg.f64 (sqrt.f64 (cos.f64 x)))))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x))))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 x x)) (-.f64 1 (pow.f64 (cos.f64 x) 2))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 x x)) (-.f64 1 (pow.f64 (cos.f64 x) 2))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1/2) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (*.f64 -1/2 (cos.f64 (+.f64 x x))))) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 x x)) (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1/2) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (neg.f64 (*.f64 1/2 (cos.f64 (+.f64 x x)))))) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 x x)) (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 x -2) (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (pow.f64 x -2) (pow.f64 (sin.f64 x) 2))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 x -2) (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2)))) |
(*.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 (pow.f64 x -2) (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2)))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.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 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(/.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 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 (pow.f64 x -2) (-.f64 1 (cos.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 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 x -2) (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (+.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) x)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) 1) (+.f64 x (*.f64 x (cos.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (+.f64 x (*.f64 x (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (/.f64 1 (+.f64 x (*.f64 x (cos.f64 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)))) |
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(*.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (cos.f64 x))))) (*.f64 x x)) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
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(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 x -2) (/.f64 1 (+.f64 1 (cos.f64 x))))) |
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(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
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(/.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 (cos.f64 x) 4)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x))))) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x))))) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1/4 (*.f64 (cos.f64 (+.f64 x x)) (*.f64 (cos.f64 (+.f64 x x)) 1/4))) (*.f64 (+.f64 1 (cos.f64 x)) (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 (*.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x)))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (*.f64 2 (cos.f64 (+.f64 x x)))))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x)))) 2) (+.f64 1 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x x)))) |
(/.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 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4))))) |
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 3)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (+.f64 1/4 (*.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 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (+.f64 x x)) 3))) (+.f64 1 (cos.f64 x))) (+.f64 1/4 (+.f64 (*.f64 1/4 (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x)))) (*.f64 1/4 (cos.f64 (+.f64 x x)))))) |
(/.f64 (/.f64 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (+.f64 x x)) 3))) (+.f64 1 (cos.f64 x))) (+.f64 1/4 (+.f64 (*.f64 (cos.f64 (+.f64 x x)) (*.f64 (cos.f64 (+.f64 x x)) 1/4)) (*.f64 (cos.f64 (+.f64 x x)) 1/4)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 0) 3) (pow.f64 (cos.f64 (+.f64 x x)) 3)) (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) 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))))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 (+.f64 x x)) 3)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (*.f64 2 (*.f64 (cos.f64 (+.f64 x x)) (+.f64 1 (cos.f64 (+.f64 x x)))))))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 (+.f64 x x)) 3)) 2) (+.f64 1 (cos.f64 x))) (+.f64 1 (*.f64 (cos.f64 (+.f64 x x)) (+.f64 1 (cos.f64 (+.f64 x x)))))) |
(/.f64 (*.f64 -1 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 -1 (cos.f64 x)) 2)) |
(/.f64 (neg.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) (*.f64 2 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 -1/2 (-.f64 -1 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x)))) |
(/.f64 (*.f64 -1 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (*.f64 1 (*.f64 (-.f64 -1 (cos.f64 x)) 2))) |
(/.f64 (neg.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) (*.f64 2 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 -1/2 (-.f64 -1 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 1) (+.f64 2 (*.f64 2 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (+.f64 2 (*.f64 2 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 1) (*.f64 1 (+.f64 2 (*.f64 2 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (+.f64 2 (*.f64 2 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) -1) (*.f64 2 (-.f64 -1 (cos.f64 x)))) |
(/.f64 (neg.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) (*.f64 2 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 -1/2 (-.f64 -1 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) -1) (*.f64 1 (*.f64 2 (-.f64 -1 (cos.f64 x))))) |
(/.f64 (neg.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) (*.f64 2 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 -1/2 (-.f64 -1 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (*.f64 (+.f64 1 (cos.f64 x)) -2)) |
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (*.f64 2 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x)))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(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)) |
(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 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (pow.f64 (pow.f64 (sin.f64 x) 2) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (/.f64 1 (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))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (/.f64 1 (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))) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (/.f64 1 (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 32781 to 19143 computations (41.6% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1595 | 14 | 1609 |
| Fresh | 5 | 2 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 1604 | 18 | 1622 |
| Status | Error | Program |
|---|---|---|
| 32.9b | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) | |
| ▶ | 32.9b | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| ▶ | 37.2b | (/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
| ✓ | 33.8b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 34.0b | (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) | |
| 33.4b | (/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x))) | |
| 33.7b | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| ✓ | 29.5b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 33.5b | (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) | |
| 47.0b | (*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x)) | |
| 19.0b | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) | |
| 18.9b | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) | |
| ▶ | 33.8b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 33.0b | (*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) | |
| 18.9b | (*.f64 (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))) (sin.f64 x)) | |
| ▶ | 28.7b | (*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
| ▶ | 0.1b | (neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
| 28.7b | 1/2 |
Compiled 369 to 254 computations (31.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)) |
| ✓ | 0.1b | (/.f64 (sin.f64 x) x) |
| ✓ | 0.2b | (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) |
Compiled 52 to 25 computations (51.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) |
| 1.0ms | x | @ | inf | (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (sin.f64 x) x) |
| 1× | batch-egg-rewrite |
| 1166× | associate-/r/ |
| 870× | swap-sqr |
| 748× | associate-/l/ |
| 434× | distribute-lft-neg-in |
| 386× | distribute-rgt-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 75 |
| 1 | 257 | 71 |
| 2 | 3727 | 71 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) |
(/.f64 (sin.f64 x) x) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 -1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 -1 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 x 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 x (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 -1 (*.f64 (cos.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 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(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))))) (#(struct:change #<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 |
| 1026× | associate-/l* |
| 830× | associate-*l* |
| 798× | times-frac |
| 756× | *-commutative |
| 756× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 547 | 8748 |
| 1 | 1676 | 8652 |
| 2 | 7368 | 8652 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (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 (*.f64 1/24 (pow.f64 x 2)) 1/2) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (*.f64 1/24 (pow.f64 x 2))) 1/2) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/40320 (pow.f64 x 6)))) 1/2) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) 1) |
(-.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) 1) |
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) -1) |
(/.f64 1 (*.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x)))) |
(/.f64 1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(/.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 1 (*.f64 -1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) x) |
(/.f64 -1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 -1 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 x 1/2)) x)) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 x (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 -1 (*.f64 (cos.f64 (*.f64 x 1/2)) x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) x) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 -1 (*.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 (cos.f64 (*.f64 x 1/2)) x)) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 -1 (*.f64 (cos.f64 (*.f64 x 1/2)) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 1 (*.f64 x (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 -1 (*.f64 x (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (*.f64 x (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (*.f64 1 (*.f64 x (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (*.f64 -1 (*.f64 x (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2))))) x) |
(/.f64 (neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1)) (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 (*.f64 x 1/2)) x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (*.f64 x (cos.f64 (*.f64 x 1/2)))) |
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 3) |
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) 1/3) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))) |
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) |
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) |
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1) |
(*.f64 (sin.f64 x) (/.f64 1 x)) |
(*.f64 (sin.f64 x) (neg.f64 (/.f64 1 x))) |
(*.f64 (/.f64 (sin.f64 x) x) 1) |
(*.f64 (/.f64 (sin.f64 x) x) -1) |
(*.f64 1 (/.f64 (sin.f64 x) x)) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 -1 (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 1 x) (sin.f64 x)) |
(*.f64 (/.f64 1 x) (neg.f64 (sin.f64 x))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 1 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (sqrt.f64 x))) |
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (neg.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (neg.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (neg.f64 (/.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)) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 (*.f64 x x) 0)) x) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0)) |
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
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(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (sqrt.f64 x))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) -1)) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 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) |
(pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) -1) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 2)) |
(log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x 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)) (/.f64 (sin.f64 x) x)) 3) (pow.f64 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 |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x)) |
(fma.f64 1/2 x (*.f64 -1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/720 (pow.f64 x 5) (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 1/720 (pow.f64 x 5) (*.f64 -1/40320 (pow.f64 x 7))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) 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 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))))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6)))) |
-1/2 |
(-.f64 (*.f64 1/24 (pow.f64 x 2)) 1/2) |
(fma.f64 1/24 (*.f64 x x) -1/2) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (*.f64 1/24 (pow.f64 x 2))) 1/2) |
(+.f64 (*.f64 (pow.f64 x 4) -1/720) (fma.f64 1/24 (*.f64 x x) -1/2)) |
(fma.f64 (pow.f64 x 4) -1/720 (fma.f64 1/24 (*.f64 x x) -1/2)) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/40320 (pow.f64 x 6)))) 1/2) |
(+.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 1/24 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/40320))) -1/2) |
(fma.f64 (pow.f64 x 4) -1/720 (+.f64 (*.f64 (pow.f64 x 6) 1/40320) (fma.f64 1/24 (*.f64 x x) -1/2))) |
(+.f64 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 1/24 (*.f64 x x) -1/2)) (*.f64 (pow.f64 x 6) 1/40320)) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(neg.f64 (*.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) (cos.f64 (*.f64 1/2 x))) (neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(neg.f64 (*.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) (cos.f64 (*.f64 1/2 x))) (neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(neg.f64 (*.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) (cos.f64 (*.f64 1/2 x))) (neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(neg.f64 (*.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) (cos.f64 (*.f64 1/2 x))) (neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(neg.f64 (*.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) (cos.f64 (*.f64 1/2 x))) (neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(neg.f64 (*.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) (cos.f64 (*.f64 1/2 x))) (neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(neg.f64 (*.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) (cos.f64 (*.f64 1/2 x))) (neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(neg.f64 (*.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) (cos.f64 (*.f64 1/2 x))) (neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))) |
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) x) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) 1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (sin.f64 x) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) x)) |
(-.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (sin.f64 x) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) 1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) x) |
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) x) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) x) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) -1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (sin.f64 x) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) x)) |
(/.f64 1 (*.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) x) |
(/.f64 1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) x) |
(/.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) x))) |
(/.f64 1 (*.f64 -1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (sin.f64 x) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) x) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) x) |
(/.f64 -1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (sin.f64 x) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) x)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 -1 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 (cos.f64 (*.f64 1/2 x))))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 (cos.f64 (*.f64 1/2 x))))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 x 1/2)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 x (cos.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 -1 (*.f64 (cos.f64 (*.f64 x 1/2)) x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 (cos.f64 (*.f64 1/2 x))))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (cos.f64 (*.f64 x 1/2))) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x)) (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x)) |
(neg.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 2)) |
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2)) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (neg.f64 (/.f64 1 x)) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 x) (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 x))) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x))) (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (neg.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) x) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) 1)) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x))) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))) 2)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) -1)) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 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 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) 2) |
(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 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 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 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) -1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (/.f64 (sin.f64 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 (/.f64 (sin.f64 x) x) x)) 2)) |
(fabs.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 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 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.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)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) (pow.f64 x 3))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)) 3) (pow.f64 x 3))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) x) 3) (pow.f64 x 3))) |
(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 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.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))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.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)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 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 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
Compiled 17 to 12 computations (29.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1344× | add-sqr-sqrt |
| 1322× | *-un-lft-identity |
| 1242× | add-cube-cbrt |
| 1224× | add-cbrt-cube |
| 1210× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 164 | 1 |
| 2 | 1982 | 1 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x . 1/2))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 13 |
| 1× | saturated |
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
| Outputs |
|---|
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 -1 (*.f64 x x)) |
| ✓ | 1.1b | (+.f64 -1 (cos.f64 x)) |
| ✓ | 18.6b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
Compiled 27 to 13 computations (51.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 2.0ms | x | @ | 0 | (/.f64 -1 (*.f64 x x)) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 -1 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1048× | *-commutative |
| 902× | unswap-sqr |
| 878× | associate-/r* |
| 580× | swap-sqr |
| 498× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 53 |
| 1 | 221 | 49 |
| 2 | 3002 | 49 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(+.f64 -1 (cos.f64 x)) |
(/.f64 -1 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (+.f64 -1 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x -2)) (/.f64 1 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (+.f64 -1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) (+.f64 1 (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 -1 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) x) (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (neg.f64 (*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x -2)) (neg.f64 (sqrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2))) (neg.f64 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (neg.f64 (/.f64 (sqrt.f64 -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (pow.f64 x -2))) (sqrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (/.f64 (sqrt.f64 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2)))))))) |
| 1× | egg-herbie |
| 1136× | associate-/l* |
| 858× | associate-*r* |
| 796× | associate-*l* |
| 738× | associate-/r* |
| 634× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 583 | 9542 |
| 1 | 1712 | 8576 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8))))) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (+.f64 -1 (cos.f64 x))))) 1) |
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))) |
(/.f64 -1 (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 -1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (neg.f64 (pow.f64 x -2)) (/.f64 1 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (+.f64 -1 (cos.f64 x))) 1) |
(/.f64 1 (/.f64 (*.f64 x x) (+.f64 1 (neg.f64 (cos.f64 x))))) |
(/.f64 1 (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 -1 x) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 (/.f64 -1 x) (/.f64 (+.f64 x (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 (pow.f64 x -2)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) -1)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) 1)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (/.f64 -1 x))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 (pow.f64 x -2)))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) -1)) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) 1)) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 x (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x)) (/.f64 -1 x))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x))))) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))))) |
(/.f64 (*.f64 -1 (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) 1))) |
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (-.f64 (sqrt.f64 (cos.f64 x)) 1))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) 1) (*.f64 (*.f64 x (neg.f64 x)) (-.f64 (cos.f64 x) -1))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (-.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 x 4)))) (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1))) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (-.f64 (pow.f64 (cos.f64 x) 3) -1))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (-.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 x)) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) -1) |
(/.f64 (*.f64 (/.f64 -1 x) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x (-.f64 -1 (cos.f64 x)))) |
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(*.f64 (neg.f64 (pow.f64 x -2)) 1) |
(*.f64 1 (neg.f64 (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x)) |
(*.f64 (/.f64 (sqrt.f64 -1) x) (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (neg.f64 (*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))) |
(*.f64 (/.f64 -1 x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) -1) |
(*.f64 (sqrt.f64 (pow.f64 x -2)) (neg.f64 (sqrt.f64 (pow.f64 x -2)))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2))) (neg.f64 (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(*.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (neg.f64 (/.f64 (sqrt.f64 -1) x))) |
(*.f64 (/.f64 1 x) (/.f64 -1 x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x -2))) (sqrt.f64 (pow.f64 x -2))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (/.f64 (sqrt.f64 -1) x)) |
(*.f64 (neg.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x)))) |
(pow.f64 (neg.f64 (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) 1/3) |
(pow.f64 (*.f64 x (neg.f64 x)) -1) |
(neg.f64 (pow.f64 x -2)) |
(sqrt.f64 (/.f64 1 (pow.f64 x 4))) |
(log.f64 (exp.f64 (neg.f64 (pow.f64 x -2)))) |
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3)) |
(expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))) |
(exp.f64 (log.f64 (neg.f64 (pow.f64 x -2)))) |
(log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 (pow.f64 x 4) 1/24 (*.f64 x (*.f64 x -1/2))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6)))) |
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/720))) |
(fma.f64 (pow.f64 x 4) 1/24 (fma.f64 (pow.f64 x 6) -1/720 (*.f64 x (*.f64 x -1/2)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8))))) |
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/720 (pow.f64 x 6) (*.f64 1/40320 (pow.f64 x 8))))) |
(fma.f64 (pow.f64 x 4) 1/24 (fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 6) -1/720 (*.f64 1/40320 (pow.f64 x 8))))) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (+.f64 -1 (cos.f64 x))))) 1) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 -1 (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 x -2) (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (cos.f64 x))) |
(/.f64 -1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 -1 (*.f64 x (*.f64 x (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x))) |
(/.f64 (neg.f64 (pow.f64 x -2)) (/.f64 1 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (+.f64 -1 (cos.f64 x))) 1) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 1 (/.f64 (*.f64 x x) (+.f64 1 (neg.f64 (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 1 (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 1 (*.f64 (/.f64 (-.f64 -1 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 x)) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 1 (/.f64 (*.f64 x (neg.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 (neg.f64 x) (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x))) |
(/.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 -1 x) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 x -2) (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 -1 x) (/.f64 (+.f64 x (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 -1 (*.f64 x (*.f64 x (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x)))) |
(/.f64 1 (*.f64 (/.f64 (-.f64 -1 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 x)) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x))))) |
(/.f64 1 (*.f64 (/.f64 (-.f64 -1 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 x)) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 (pow.f64 x -2)))) |
(*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 x -2) (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) -1)) |
(*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 x -2) (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) 1)) |
(/.f64 1 (*.f64 (/.f64 (-.f64 -1 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 x)) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (/.f64 -1 x))) |
(*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 x -2) (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (cos.f64 x))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 1 (/.f64 (*.f64 x (neg.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 (neg.f64 x) (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x))) |
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(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) -1) |
(+.f64 -1 (cos.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) -1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))) 1) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 -1 (pow.f64 x -2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (neg.f64 (pow.f64 x -2)) 1) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 1 (neg.f64 (pow.f64 x -2))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x)) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (/.f64 (sqrt.f64 -1) x) (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (neg.f64 (*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (/.f64 -1 x) (/.f64 1 x)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) -1) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (sqrt.f64 (pow.f64 x -2)) (neg.f64 (sqrt.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2))) (neg.f64 (cbrt.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (neg.f64 (/.f64 (sqrt.f64 -1) x))) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (/.f64 1 x) (/.f64 -1 x)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x -2))) (sqrt.f64 (pow.f64 x -2))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x -2))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (/.f64 (sqrt.f64 -1) x)) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (neg.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (cbrt.f64 (/.f64 (sqrt.f64 -1) x)))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (cbrt.f64 (/.f64 (sqrt.f64 -1) x)))) |
(pow.f64 (neg.f64 (pow.f64 x -2)) 1) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 3) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) 1/3) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(pow.f64 (*.f64 x (neg.f64 x)) -1) |
(/.f64 1 (*.f64 x (neg.f64 x))) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (*.f64 x x)) |
(sqrt.f64 (/.f64 1 (pow.f64 x 4))) |
(log.f64 (exp.f64 (neg.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2))))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(exp.f64 (log.f64 (neg.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
Found 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)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 x (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 x (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.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 | @ | 0 | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| 1× | batch-egg-rewrite |
| 1118× | *-commutative |
| 1096× | associate-/r/ |
| 822× | associate-/l/ |
| 682× | swap-sqr |
| 426× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 46 |
| 1 | 221 | 40 |
| 2 | 3123 | 40 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| Outputs |
|---|
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x)) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(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 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (pow.f64 x -2) x) (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 |
| 782× | distribute-lft-neg-out |
| 714× | distribute-rgt-neg-out |
| 670× | *-commutative |
| 508× | associate-*l* |
| 506× | associate-*r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 457 | 6501 |
| 1 | 1350 | 6187 |
| 2 | 5093 | 6181 |
| 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))))) |
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 x (/.f64 -1 (+.f64 (cos.f64 x) -1))) |
(*.f64 x (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.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 x (neg.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 1 (/.f64 x (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1) |
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) |
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) x) |
(*.f64 (+.f64 1 (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 (cos.f64 x) -1))) |
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (cos.f64 x) -1))) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))) (neg.f64 (sqrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))) (neg.f64 (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))))) |
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 -1 (+.f64 (cos.f64 x) -1))) (sqrt.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 x) (/.f64 -1 (+.f64 (cos.f64 x) -1))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (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 1 (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 x (*.f64 x (cos.f64 x)))) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 x (*.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (neg.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (neg.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (pow.f64 x -1/2)) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 x) 1)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (cos.f64 x)) -1)) |
(*.f64 (/.f64 x (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 x (+.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 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) |
(*.f64 (/.f64 (neg.f64 x) (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (neg.f64 x) (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 x (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 (/.f64 x (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 (/.f64 x (pow.f64 (cbrt.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 (/.f64 x (pow.f64 (cbrt.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 (+.f64 (cos.f64 x) -1)) 1) x) |
(*.f64 (/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) -1) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))) (sqrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))))) (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) (cbrt.f64 (/.f64 x (-.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) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) |
(neg.f64 (/.f64 x (+.f64 (cos.f64 x) -1))) |
(neg.f64 (/.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) 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) (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))))) |
(log1p.f64 (expm1.f64 (/.f64 x (-.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 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 (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 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.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 (*.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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (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 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.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 (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 (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 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 (/.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 (/.f64 1 x) (cbrt.f64 x)) (-.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) (/.f64 (-.f64 1 (cos.f64 x)) 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 (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 (/.f64 (/.f64 1 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)) (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 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (/.f64 x (-.f64 1 (cos.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 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 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))) |
(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 (*.f64 x x) (-.f64 1 (cos.f64 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 (pow.f64 x -2) x) (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 |
|---|
(/.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)))) |
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 (*.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 x (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 (fma.f64 x (cos.f64 x) x) (*.f64 (sin.f64 x) (sin.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 x (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 (fma.f64 x (cos.f64 x) x) (*.f64 (sin.f64 x) (sin.f64 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)))) |
(*.f64 x (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (fma.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 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 x (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (fma.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 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 x (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (fma.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 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 x (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 (fma.f64 x (cos.f64 x) 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 x (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 (fma.f64 x (cos.f64 x) 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 x (/.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 (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))) |
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(/.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 (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)) |
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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 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 (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 (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 (/.f64 1 (cbrt.f64 x)) (*.f64 (/.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) (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
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(*.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2)) (/.f64 1 x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 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 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (pow.f64 x -1/2) (/.f64 (sqrt.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 (/.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 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.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 1 (cos.f64 x)) (*.f64 x x)) |
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(*.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 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2)) (/.f64 1 x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 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))) |
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(/.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 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) |
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(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (/.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) (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (/.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) (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.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 (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 (/.f64 1 (/.f64 x (*.f64 (cbrt.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (/.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) (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) -1) (/.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 (/.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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (/.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) (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) 1) (-.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 x -2) -1) (+.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) (/.f64 1 (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 (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 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) (pow.f64 x -1/2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (pow.f64 x -1/2) x)) |
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 x -1/2) x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.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 -1 x) -1) (/.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 (/.f64 -1 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 (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 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.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 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2))) (+.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 (sin.f64 x) (sin.f64 x))) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(*.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 (pow.f64 x -2) (/.f64 (-.f64 1 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x))) (+.f64 1 (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (*.f64 (/.f64 (pow.f64 x -2) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.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 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 1)))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) 3)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (*.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (+.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) -1)))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (fma.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 (cos.f64 x) 1)) 1)) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (/.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3)) (fma.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) -1)) 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 (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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 x) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 x) (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 (neg.f64 x))) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (sqrt.f64 (+.f64 (cos.f64 x) -1))) (sqrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (neg.f64 x)) 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) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 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)))) |
(*.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 (/.f64 1 x) (cbrt.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 (neg.f64 x))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(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 (*.f64 x 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 (pow.f64 x -2) (+.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 (pow.f64 x -2) (+.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 (pow.f64 x -2) (+.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 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.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 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3))) |
(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)))) |
(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 x (*.f64 x (neg.f64 x))) |
| ✓ | 0.1b | (*.f64 (cos.f64 x) (neg.f64 x)) |
| ✓ | 1.1b | (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) |
| ✓ | 26.6b | (/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
Compiled 44 to 8 computations (81.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
| 0.0ms | x | @ | 0 | (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
| 0.0ms | x | @ | -inf | (*.f64 x (*.f64 x (neg.f64 x))) |
| 1× | batch-egg-rewrite |
| 1642× | associate-*r/ |
| 1124× | associate-*l/ |
| 1120× | *-commutative |
| 594× | associate-/r/ |
| 264× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 104 |
| 1 | 249 | 64 |
| 2 | 4241 | 64 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
(-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) |
(*.f64 (cos.f64 x) (neg.f64 x)) |
(*.f64 x (*.f64 x (neg.f64 x))) |
| Outputs |
|---|
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(+.f64 x (*.f64 x (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 3) (/.f64 1 (+.f64 x (*.f64 x (cos.f64 x))))) (+.f64 x (*.f64 x (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))) (/.f64 1 (+.f64 x (*.f64 x (cos.f64 x))))) (*.f64 (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x))))) (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 2) (pow.f64 (+.f64 x (*.f64 x 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pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 x (*.f64 x (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (*.f64 x (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 x (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (*.f64 x (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 x (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (*.f64 x (cos.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (cos.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 x)) -1) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 x)) -1) (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) (cos.f64 x)) (+.f64 (*.f64 x x) (*.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) (neg.f64 (cos.f64 x))) (+.f64 (*.f64 x x) (*.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (cos.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 x 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3))))))) |
| 1× | egg-herbie |
| 1638× | associate-*r* |
| 1366× | associate-*l* |
| 1128× | associate-/l* |
| 890× | associate-/r* |
| 678× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 670 | 15869 |
| 1 | 1979 | 15205 |
| 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 (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 3)) |
(+.f64 (*.f64 1/24 (pow.f64 x 5)) (*.f64 -1/2 (pow.f64 x 3))) |
(+.f64 (*.f64 1/24 (pow.f64 x 5)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/720 (pow.f64 x 7)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 5)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/40320 (pow.f64 x 9)) (*.f64 -1/720 (pow.f64 x 7))))) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 -1 x) |
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 -1 x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/24 (pow.f64 x 5)) (*.f64 -1 x))) |
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/24 (pow.f64 x 5)) (+.f64 (*.f64 -1 x) (*.f64 1/720 (pow.f64 x 7))))) |
(*.f64 -1 (*.f64 (cos.f64 x) x)) |
(*.f64 -1 (*.f64 (cos.f64 x) x)) |
(*.f64 -1 (*.f64 (cos.f64 x) x)) |
(*.f64 -1 (*.f64 (cos.f64 x) x)) |
(*.f64 -1 (*.f64 (cos.f64 x) x)) |
(*.f64 -1 (*.f64 (cos.f64 x) x)) |
(*.f64 -1 (*.f64 (cos.f64 x) x)) |
(*.f64 -1 (*.f64 (cos.f64 x) x)) |
(*.f64 -1 (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(+.f64 (/.f64 x (pow.f64 x 3)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(+.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 x (pow.f64 x 3))) |
(-.f64 (/.f64 x (pow.f64 x 3)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3)))) 1) |
(-.f64 (/.f64 0 (pow.f64 x 3)) (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3))) |
(*.f64 (+.f64 x (*.f64 x (cos.f64 x))) (/.f64 1 (pow.f64 x 3))) |
(*.f64 (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3)) 1) |
(*.f64 1 (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) x)) x) (/.f64 (sqrt.f64 (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) x)) x)) |
(*.f64 (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) (pow.f64 x 3))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) x) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) x) 2)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 2) (*.f64 x x))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) x) 2) (/.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) x)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 2) (/.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) (pow.f64 x 3))) |
(*.f64 (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) x) (/.f64 x (pow.f64 x 3))) |
(*.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 x (*.f64 x (cos.f64 x)))) |
(*.f64 (/.f64 x (pow.f64 x 3)) (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) x)) |
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(/.f64 (*.f64 -1 (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 2)) (+.f64 x (*.f64 x (cos.f64 x)))) |
(/.f64 (*.f64 -1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))) (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x)))))) |
(/.f64 (*.f64 -1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x)))))) |
(/.f64 (*.f64 -1 (neg.f64 (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 2))) (+.f64 x (*.f64 x (cos.f64 x)))) |
(/.f64 (*.f64 -1 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)))) (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x)))))) |
(/.f64 (*.f64 -1 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x))))))) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 x 0))) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x) |
(/.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 x 0))) |
(/.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 x x)) x) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x))))) (+.f64 x (*.f64 x (cos.f64 x)))) (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x))))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x))))))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 2)) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 2)) (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x))))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x))))))) |
(/.f64 (*.f64 (pow.f64 x 3) (-.f64 1 (cos.f64 x))) (+.f64 (*.f64 x x) (*.f64 x 0))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) x) |
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 x) 1)) (+.f64 (*.f64 x x) (*.f64 x 0))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 (cos.f64 x) 1)) x) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 2)) 1) (+.f64 x (*.f64 x (cos.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))) 1) (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x)))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x))))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))) (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x))))))) |
(/.f64 (*.f64 (+.f64 x (*.f64 x (cos.f64 x))) (neg.f64 (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))))) (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))) (neg.f64 (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x))))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x))))))) |
(/.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 3) (/.f64 1 (+.f64 x (*.f64 x (cos.f64 x))))) (+.f64 x (*.f64 x (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))) (/.f64 1 (+.f64 x (*.f64 x (cos.f64 x))))) (*.f64 (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x))))) (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x))))))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 2) (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 2)) (/.f64 1 (+.f64 x (*.f64 x (cos.f64 x))))) (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 2)) |
(/.f64 (*.f64 (*.f64 (+.f64 x (*.f64 x (cos.f64 x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))) (/.f64 1 (+.f64 x (*.f64 x (cos.f64 x))))) (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x)))))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 2) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))) (/.f64 1 (+.f64 x (*.f64 x (cos.f64 x))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 x (cos.f64 x)) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2))) (/.f64 1 (+.f64 x (*.f64 x (cos.f64 x))))) (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 2)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 2) (pow.f64 (pow.f64 (*.f64 x (cos.f64 x)) 2) 3)) (/.f64 1 (+.f64 x (*.f64 x (cos.f64 x))))) (+.f64 (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 x (cos.f64 x)) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2))) (*.f64 (pow.f64 (*.f64 x (cos.f64 x)) 2) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 2) (*.f64 (pow.f64 (*.f64 x (cos.f64 x)) 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x))))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 x (cos.f64 x)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x))))))) (+.f64 (pow.f64 (pow.f64 x 3) 2) (+.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 x)) 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))))) |
(pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 1) |
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 3) |
(pow.f64 (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 3) 1/3) |
(neg.f64 (+.f64 x (*.f64 x (cos.f64 x)))) |
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 2)) |
(log.f64 (exp.f64 (+.f64 x (*.f64 x (cos.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x (cos.f64 x)))))) |
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x (cos.f64 x))))) |
(exp.f64 (log.f64 (+.f64 x (*.f64 x (cos.f64 x))))) |
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x (cos.f64 x))))) |
(fma.f64 1 x (*.f64 x (cos.f64 x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (cos.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (cos.f64 x))) |
(fma.f64 -1 x (*.f64 x (cos.f64 x))) |
(+.f64 0 (*.f64 x (cos.f64 x))) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 x))))) 1) |
(-.f64 0 (*.f64 x (cos.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 x)))) 1) |
(/.f64 (*.f64 x (*.f64 x (cos.f64 x))) x) |
(/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 x 0))) |
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 x 0))) |
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) x) |
(/.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 x)) -1) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 x 0))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 x)) -1) (*.f64 x x)) x) |
(/.f64 (*.f64 (pow.f64 x 3) (cos.f64 x)) (+.f64 (*.f64 x x) (*.f64 x 0))) |
(/.f64 (*.f64 (pow.f64 x 3) (neg.f64 (cos.f64 x))) (+.f64 (*.f64 x x) (*.f64 x 0))) |
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x))) x) |
(pow.f64 (*.f64 x (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (*.f64 x (cos.f64 x)) 3) 1/3) |
(neg.f64 (*.f64 x (cos.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 x)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 x)))) |
(exp.f64 (log.f64 (*.f64 x (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 x)))) |
(+.f64 0 (pow.f64 x 3)) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (pow.f64 x 3)))) 1) |
(-.f64 0 (pow.f64 x 3)) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1) |
(/.f64 (*.f64 x (pow.f64 x 3)) x) |
(/.f64 (*.f64 (pow.f64 x 3) (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 x 0))) |
(pow.f64 x 3) |
(pow.f64 (pow.f64 x 3) 1) |
(pow.f64 (*.f64 x (sqrt.f64 x)) 2) |
(pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3) |
(neg.f64 (pow.f64 x 3)) |
(sqrt.f64 (pow.f64 (pow.f64 x 3) 2)) |
(log.f64 (exp.f64 (pow.f64 x 3))) |
(log.f64 (/.f64 1 (exp.f64 (pow.f64 x 3)))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3)))) |
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 x 3))) |
(exp.f64 (log.f64 (pow.f64 x 3))) |
(exp.f64 (*.f64 (log.f64 x) 3)) |
(log1p.f64 (expm1.f64 (pow.f64 x 3))) |
| 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 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 3)) |
(+.f64 (*.f64 1/24 (pow.f64 x 5)) (*.f64 -1/2 (pow.f64 x 3))) |
(fma.f64 1/24 (pow.f64 x 5) (*.f64 -1/2 (pow.f64 x 3))) |
(+.f64 (*.f64 1/24 (pow.f64 x 5)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/720 (pow.f64 x 7)))) |
(fma.f64 1/24 (pow.f64 x 5) (fma.f64 -1/2 (pow.f64 x 3) (*.f64 -1/720 (pow.f64 x 7)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 5)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/40320 (pow.f64 x 9)) (*.f64 -1/720 (pow.f64 x 7))))) |
(fma.f64 1/24 (pow.f64 x 5) (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/40320 (pow.f64 x 9) (*.f64 -1/720 (pow.f64 x 7))))) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)) |
(neg.f64 (*.f64 x (-.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)) |
(neg.f64 (*.f64 x (-.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)) |
(neg.f64 (*.f64 x (-.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)) |
(neg.f64 (*.f64 x (-.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) |
(*.f64 -1 (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(neg.f64 (*.f64 x (-.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) |
(*.f64 -1 (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(neg.f64 (*.f64 x (-.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) |
(*.f64 -1 (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(neg.f64 (*.f64 x (-.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) |
(*.f64 -1 (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(neg.f64 (*.f64 x (-.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 -1 x)) |
(fma.f64 1/2 (pow.f64 x 3) (neg.f64 x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/24 (pow.f64 x 5)) (*.f64 -1 x))) |
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1/24 (pow.f64 x 5) (neg.f64 x))) |
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/24 (pow.f64 x 5)) (+.f64 (*.f64 -1 x) (*.f64 1/720 (pow.f64 x 7))))) |
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1/24 (pow.f64 x 5) (fma.f64 -1 x (*.f64 1/720 (pow.f64 x 7))))) |
(*.f64 -1 (*.f64 (cos.f64 x) x)) |
(*.f64 x (neg.f64 (cos.f64 x))) |
(*.f64 -1 (*.f64 (cos.f64 x) x)) |
(*.f64 x (neg.f64 (cos.f64 x))) |
(*.f64 -1 (*.f64 (cos.f64 x) x)) |
(*.f64 x (neg.f64 (cos.f64 x))) |
(*.f64 -1 (*.f64 (cos.f64 x) x)) |
(*.f64 x (neg.f64 (cos.f64 x))) |
(*.f64 -1 (*.f64 (cos.f64 x) x)) |
(*.f64 x (neg.f64 (cos.f64 x))) |
(*.f64 -1 (*.f64 (cos.f64 x) x)) |
(*.f64 x (neg.f64 (cos.f64 x))) |
(*.f64 -1 (*.f64 (cos.f64 x) x)) |
(*.f64 x (neg.f64 (cos.f64 x))) |
(*.f64 -1 (*.f64 (cos.f64 x) x)) |
(*.f64 x (neg.f64 (cos.f64 x))) |
(*.f64 -1 (pow.f64 x 3)) |
(neg.f64 (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(neg.f64 (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(neg.f64 (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(neg.f64 (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(neg.f64 (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(neg.f64 (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(neg.f64 (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(neg.f64 (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(neg.f64 (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(neg.f64 (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(neg.f64 (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(neg.f64 (pow.f64 x 3)) |
(+.f64 (/.f64 x (pow.f64 x 3)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(+.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 x (pow.f64 x 3))) |
(+.f64 (/.f64 x (pow.f64 x 3)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (/.f64 x (pow.f64 x 3)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3)))) 1) |
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3)) |
(-.f64 (/.f64 0 (pow.f64 x 3)) (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3))) |
(/.f64 (neg.f64 (fma.f64 x (cos.f64 x) x)) (pow.f64 x 3)) |
(*.f64 (+.f64 x (*.f64 x (cos.f64 x))) (/.f64 1 (pow.f64 x 3))) |
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3)) |
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(sqrt.f64 (pow.f64 x 6)) |
(log.f64 (exp.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
(log.f64 (/.f64 1 (exp.f64 (pow.f64 x 3)))) |
(neg.f64 (pow.f64 x 3)) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3)))) |
(pow.f64 x 3) |
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3)) |
(pow.f64 x 3) |
(expm1.f64 (log1p.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
(exp.f64 (log.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
(exp.f64 (*.f64 (log.f64 x) 3)) |
(pow.f64 x 3) |
(log1p.f64 (expm1.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
Compiled 33841 to 15704 computations (53.6% saved)
22 alts after pruning (15 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1515 | 7 | 1522 |
| Fresh | 3 | 8 | 11 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 1518 | 22 | 1540 |
| Status | Error | Program |
|---|---|---|
| 32.9b | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) | |
| ✓ | 32.9b | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| 47.0b | (/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x))) | |
| ▶ | 13.7b | (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
| ✓ | 37.2b | (/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
| 49.3b | (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) | |
| ✓ | 33.8b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| ▶ | 37.2b | (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
| ▶ | 34.0b | (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
| 33.4b | (/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x))) | |
| 33.7b | (+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) | |
| ✓ | 29.5b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 33.5b | (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) | |
| 19.0b | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) | |
| 18.9b | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) | |
| ✓ | 33.8b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| ▶ | 47.9b | (*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
| 33.0b | (*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) | |
| ✓ | 28.7b | (*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
| ✓ | 0.1b | (neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
| ▶ | 0.2b | (neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 x) (sin.f64 x))) (neg.f64 x))) |
| 28.7b | 1/2 |
Compiled 437 to 296 computations (32.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 x) (sin.f64 x))) (neg.f64 x)) |
| ✓ | 0.2b | (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 x) (sin.f64 x))) |
| ✓ | 0.3b | (*.f64 (/.f64 1 x) (sin.f64 x)) |
Compiled 64 to 39 computations (39.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 x) (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 x) (sin.f64 x))) (neg.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 x) (sin.f64 x))) (neg.f64 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 x) (sin.f64 x))) |
| 0.0ms | x | @ | inf | (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 x) (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 1094× | associate-/r/ |
| 952× | swap-sqr |
| 678× | associate-/l/ |
| 426× | distribute-lft-neg-in |
| 358× | distribute-rgt-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 75 |
| 1 | 289 | 71 |
| 2 | 3953 | 71 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 x) (sin.f64 x)) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 x) (sin.f64 x))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 x) (sin.f64 x))) (neg.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 -1 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (*.f64 -1 (/.f64 x (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (*.f64 1 (/.f64 x (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 -1 (/.f64 x (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sin.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sin.f64 x) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (/.f64 1 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 -1 (*.f64 x (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 1 (*.f64 x (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 x 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 -1 (*.f64 (cos.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (*.f64 x (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (*.f64 (cos.f64 (*.f64 x 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) 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) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.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)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 x -2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (*.f64 (pow.f64 x -2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 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(cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) x))) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (cbrt.f64 x) 2) x))) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))))) |
| 1× | egg-herbie |
| 868× | associate-/l* |
| 770× | associate-+r+ |
| 696× | associate-*r* |
| 674× | associate-*l* |
| 614× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 479 | 7832 |
| 1 | 1394 | 7776 |
| 2 | 6374 | 7776 |
| 1× | node limit |
| Inputs |
|---|
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))))) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
-1/2 |
(-.f64 (*.f64 1/24 (pow.f64 x 2)) 1/2) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (*.f64 1/24 (pow.f64 x 2))) 1/2) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/40320 (pow.f64 x 6)))) 1/2) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))) |
(*.f64 -1 (/.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 (sin.f64 x) x))) 1) |
(/.f64 1 (/.f64 x (sin.f64 x))) |
(/.f64 1 (*.f64 -1 (/.f64 x (sin.f64 x)))) |
(/.f64 (sin.f64 x) x) |
(/.f64 (/.f64 (sin.f64 x) x) 1) |
(/.f64 (/.f64 (sin.f64 x) x) -1) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 -1 (/.f64 x (sqrt.f64 (sin.f64 x))))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 1 (/.f64 x (sqrt.f64 (sin.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 -1 (/.f64 x (cbrt.f64 (sin.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x))))) |
(/.f64 -1 (/.f64 x (sin.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) 1) x) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (neg.f64 (sin.f64 x)) x) |
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) x) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) 1)) x) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(pow.f64 (/.f64 (sin.f64 x) x) 1) |
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3) |
(neg.f64 (/.f64 (sin.f64 x) x)) |
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2)) |
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3)) |
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (sin.f64 x) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (/.f64 1 (pow.f64 x 3)))) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) |
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x))) |
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) 1) |
(-.f64 0 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) 1) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 1) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) -1) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) x) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) x) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 -1 (*.f64 x (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 1 (*.f64 x (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 x 1/2)) x)) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 -1 (*.f64 (cos.f64 (*.f64 x 1/2)) x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) x))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (*.f64 x (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (*.f64 (cos.f64 (*.f64 x 1/2)) x)) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3) 1/3) |
(neg.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))) |
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) 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 (/.f64 (sin.f64 x) x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1)) |
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(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2) -1)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) x)) |
(*.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) x))) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (cbrt.f64 x) 2) x))) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x))) -1) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
| Outputs |
|---|
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 1/120 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (*.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))))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6)))) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(*.f64 1/2 x) |
(*.f64 x 1/2) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 x 1/2 (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 x 1/2 (fma.f64 1/720 (pow.f64 x 5) (*.f64 -1/40320 (pow.f64 x 7))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) x)) |
-1/2 |
(-.f64 (*.f64 1/24 (pow.f64 x 2)) 1/2) |
(fma.f64 1/24 (*.f64 x x) -1/2) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (*.f64 1/24 (pow.f64 x 2))) 1/2) |
(+.f64 (*.f64 (pow.f64 x 4) -1/720) (fma.f64 1/24 (*.f64 x x) -1/2)) |
(fma.f64 (pow.f64 x 4) -1/720 (fma.f64 1/24 (*.f64 x x) -1/2)) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/40320 (pow.f64 x 6)))) 1/2) |
(+.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 1/24 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/40320))) -1/2) |
(fma.f64 (pow.f64 x 4) -1/720 (+.f64 (fma.f64 (pow.f64 x 6) 1/40320 (*.f64 x (*.f64 x 1/24))) -1/2)) |
(fma.f64 (pow.f64 x 4) -1/720 (+.f64 -1/2 (fma.f64 (pow.f64 x 6) 1/40320 (*.f64 x (*.f64 x 1/24))))) |
(*.f64 -1 (/.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) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))) |
(*.f64 -1 (/.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) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))) |
(*.f64 -1 (/.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) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))) |
(*.f64 -1 (/.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) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))) |
(*.f64 -1 (/.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) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))) |
(*.f64 -1 (/.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) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))) |
(*.f64 -1 (/.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) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))) |
(*.f64 -1 (/.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) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1) |
(/.f64 (sin.f64 x) x) |
(/.f64 1 (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(/.f64 1 (*.f64 -1 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 -1 x) (sin.f64 x)) |
(/.f64 (sin.f64 x) (neg.f64 x)) |
(/.f64 (sin.f64 x) x) |
(/.f64 (/.f64 (sin.f64 x) x) 1) |
(/.f64 (sin.f64 x) x) |
(/.f64 (/.f64 (sin.f64 x) x) -1) |
(*.f64 (/.f64 -1 x) (sin.f64 x)) |
(/.f64 (sin.f64 x) (neg.f64 x)) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) x) |
(/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 -1 (/.f64 x (sqrt.f64 (sin.f64 x))))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (/.f64 x (sqrt.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 x)) (sqrt.f64 (sin.f64 x))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 1 (/.f64 x (sqrt.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) x) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 -1 (/.f64 x (cbrt.f64 (sin.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (neg.f64 (/.f64 x (cbrt.f64 (sin.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (neg.f64 x) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(/.f64 -1 (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 -1 x) (sin.f64 x)) |
(/.f64 (sin.f64 x) (neg.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) 1) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (sin.f64 x) x) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (sin.f64 x) x) |
(/.f64 (neg.f64 (sin.f64 x)) x) |
(*.f64 (/.f64 -1 x) (sin.f64 x)) |
(/.f64 (sin.f64 x) (neg.f64 x)) |
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(neg.f64 (/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) x)) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) x) (cbrt.f64 (sin.f64 x))) |
(neg.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (cbrt.f64 (sin.f64 x))))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 -1 x) (sin.f64 x)) |
(/.f64 (sin.f64 x) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) 1)) x) |
(*.f64 (/.f64 -1 x) (sin.f64 x)) |
(/.f64 (sin.f64 x) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 -1 x) (sin.f64 x)) |
(/.f64 (sin.f64 x) (neg.f64 x)) |
(pow.f64 (/.f64 (sin.f64 x) x) 1) |
(/.f64 (sin.f64 x) x) |
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2) |
(/.f64 (sin.f64 x) x) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3) |
(/.f64 (sin.f64 x) x) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3) |
(/.f64 (sin.f64 x) x) |
(neg.f64 (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 -1 x) (sin.f64 x)) |
(/.f64 (sin.f64 x) (neg.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2)) |
(fabs.f64 (/.f64 (sin.f64 x) x)) |
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 (sin.f64 x) x) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3)) |
(/.f64 (sin.f64 x) x) |
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (sin.f64 x) 3))) |
(/.f64 (sin.f64 x) x) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (/.f64 1 (pow.f64 x 3)))) |
(/.f64 (sin.f64 x) x) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) |
(/.f64 (sin.f64 x) x) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1)) |
(/.f64 (sin.f64 x) x) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) 1) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) x) |
(*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(-.f64 0 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) x) |
(*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
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(*.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) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) |
(*.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) (pow.f64 x -2))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3)) |
(*.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) (pow.f64 x -2))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3) (pow.f64 x 3))) |
(*.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) (pow.f64 x -2))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.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) (pow.f64 x -2))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.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) (pow.f64 x -2))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) 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) (pow.f64 x -2))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.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) (pow.f64 x -2))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (/.f64 -1 (*.f64 x x)) | |
| ✓ | 31.6b | (*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
Compiled 31 to 17 computations (45.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
| 1× | batch-egg-rewrite |
| 1014× | *-commutative |
| 1002× | associate-*r/ |
| 820× | associate-*l/ |
| 762× | unswap-sqr |
| 692× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 1 | 211 | 29 |
| 2 | 2600 | 25 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
| Outputs |
|---|
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1/2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))) 3)))) (#(struct:change #<rule 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egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))))))) |
| 1× | egg-herbie |
| 1124× | associate-/l* |
| 712× | times-frac |
| 674× | associate-+r- |
| 634× | associate-+l- |
| 530× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 298 | 1888 |
| 1 | 880 | 1812 |
| 2 | 4939 | 1750 |
| 3 | 7223 | 1750 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) 1) |
(/.f64 -1 (/.f64 x (/.f64 x (/.f64 x (*.f64 x -1/2))))) |
(/.f64 x (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x -1/2))) |
(/.f64 (*.f64 x x) (/.f64 (*.f64 x (neg.f64 x)) -1/2)) |
(/.f64 -1/2 (*.f64 x (/.f64 x (*.f64 x (neg.f64 x))))) |
(/.f64 (*.f64 x -1/2) (/.f64 (*.f64 x (neg.f64 x)) x)) |
(/.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 1) |
(/.f64 1 (/.f64 x (/.f64 (*.f64 (*.f64 x x) 1/2) x))) |
(/.f64 (sqrt.f64 (*.f64 x -1/2)) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (sqrt.f64 (*.f64 x -1/2))))) |
(/.f64 (*.f64 x (sqrt.f64 -1/2)) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (sqrt.f64 -1/2)))) |
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (*.f64 x -1/2) (sqrt.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (cbrt.f64 (*.f64 x -1/2))))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (*.f64 x -1/2) (cbrt.f64 x)))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (*.f64 x (*.f64 x -1/2))))) |
(/.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x x)) |
(/.f64 (/.f64 -1 x) (/.f64 x (*.f64 x (*.f64 x -1/2)))) |
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2)) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (*.f64 x x) 1/2)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (*.f64 (*.f64 x x) 1/2))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 (*.f64 x x) 1/2)))) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2)) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (*.f64 x -1/2)))) |
(/.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 x))) |
(/.f64 (*.f64 -1 (*.f64 x -1/2)) (/.f64 (*.f64 x x) x)) |
(/.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1/2))) (/.f64 (*.f64 x x) (*.f64 x (sqrt.f64 -1/2)))) |
(/.f64 (*.f64 -1 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x (*.f64 x -1/2))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 x))) |
(/.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (*.f64 x -1/2)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (pow.f64 x -2)) -1) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) x) |
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (neg.f64 x) (/.f64 (*.f64 x x) (*.f64 x -1/2))) |
(/.f64 (/.f64 x (/.f64 x (*.f64 x -1/2))) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 x -1/2) (/.f64 x (neg.f64 x))) x) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 -1 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 -1 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) x)) (cbrt.f64 x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 1 x)) (neg.f64 x)) |
(/.f64 (*.f64 1 (/.f64 (*.f64 (*.f64 x x) 1/2) x)) x) |
(/.f64 (*.f64 1 (/.f64 (*.f64 x (neg.f64 x)) -2)) (*.f64 x x)) |
(/.f64 (*.f64 1 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) x) (sqrt.f64 (*.f64 (*.f64 x x) 1/2))) x) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x x) 1/2))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (/.f64 1 x)) x) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) 1) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) x) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (/.f64 -1 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) -1) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) 1) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 -1 x))) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 x 4))) (*.f64 x (*.f64 x -1/2))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 (/.f64 1 x) (*.f64 x (*.f64 x -1/2))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 -1 (*.f64 x (sqrt.f64 x))) (*.f64 x (*.f64 x -1/2))) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) x) (*.f64 x (*.f64 x -1/2))) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) 1) x) |
(/.f64 (*.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) 1) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) 1) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 1 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x))) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x))) x) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) (/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) x)) x) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 (/.f64 x (neg.f64 x)) (*.f64 x -1/2)) x) |
(/.f64 (*.f64 -1 (/.f64 x (/.f64 x (*.f64 x -1/2)))) x) |
(/.f64 (*.f64 1 (/.f64 x (/.f64 x (*.f64 x -1/2)))) (neg.f64 x)) |
(/.f64 (*.f64 1 (/.f64 x (/.f64 x (*.f64 x -1/2)))) (/.f64 x -1)) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (/.f64 x (/.f64 x (*.f64 x -1/2)))) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 x (/.f64 x (*.f64 x -1/2)))) (sqrt.f64 x)) |
(/.f64 (*.f64 -1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -1/2)))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) 1) (*.f64 x (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) 1) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) 1) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 1) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 3) 1/3) |
(neg.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (pow.f64 x -2))) |
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 4))) |
(log.f64 (exp.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (neg.f64 (pow.f64 x -2)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) |
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) |
| Outputs |
|---|
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) 1) |
1/2 |
(/.f64 -1 (/.f64 x (/.f64 x (/.f64 x (*.f64 x -1/2))))) |
1/2 |
(/.f64 x (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x -1/2))) |
1/2 |
(/.f64 (*.f64 x x) (/.f64 (*.f64 x (neg.f64 x)) -1/2)) |
1/2 |
(/.f64 -1/2 (*.f64 x (/.f64 x (*.f64 x (neg.f64 x))))) |
(/.f64 (/.f64 -1/2 x) (/.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 -1/2 (/.f64 x (neg.f64 x))) |
(*.f64 (/.f64 -1/2 x) (neg.f64 x)) |
(/.f64 (*.f64 x -1/2) (/.f64 (*.f64 x (neg.f64 x)) x)) |
1/2 |
(/.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (neg.f64 x))) |
1/2 |
(/.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 1) |
1/2 |
(/.f64 1 (/.f64 x (/.f64 (*.f64 (*.f64 x x) 1/2) x))) |
1/2 |
(/.f64 (sqrt.f64 (*.f64 x -1/2)) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (sqrt.f64 (*.f64 x -1/2))))) |
1/2 |
(/.f64 (*.f64 x (sqrt.f64 -1/2)) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (sqrt.f64 -1/2)))) |
1/2 |
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (*.f64 x -1/2) (sqrt.f64 x)))) |
1/2 |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (cbrt.f64 (*.f64 x -1/2))))) |
1/2 |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (*.f64 x -1/2) (cbrt.f64 x)))) |
1/2 |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 x (neg.f64 x))) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 x 1/2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) x) (*.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 x) 2) x))) |
(/.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) |
(/.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 (/.f64 x (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (neg.f64 x))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (*.f64 x (*.f64 x -1/2))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 x (neg.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (/.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) x) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x x)) |
1/2 |
(/.f64 (/.f64 -1 x) (/.f64 x (*.f64 x (*.f64 x -1/2)))) |
1/2 |
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2)) |
1/2 |
(/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (*.f64 x x) 1/2)))) |
1/2 |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (*.f64 (*.f64 x x) 1/2))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 (*.f64 x x) 1/2)))) |
1/2 |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2)) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (*.f64 x -1/2)))) |
1/2 |
(/.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 x))) |
1/2 |
(/.f64 (*.f64 -1 (*.f64 x -1/2)) (/.f64 (*.f64 x x) x)) |
1/2 |
(/.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1/2))) (/.f64 (*.f64 x x) (*.f64 x (sqrt.f64 -1/2)))) |
1/2 |
(/.f64 (*.f64 -1 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x (*.f64 x -1/2))))) |
(*.f64 (/.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (*.f64 x x)) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (/.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (/.f64 (sqrt.f64 -1) x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) x)) |
(/.f64 x (/.f64 (/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (/.f64 (sqrt.f64 -1) x)) (*.f64 x -1/2))) |
(/.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 x))) |
1/2 |
(/.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (*.f64 x -1/2)))) |
1/2 |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (pow.f64 x -2)) -1) |
1/2 |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
1/2 |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) x) |
1/2 |
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (*.f64 x x)) |
1/2 |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (neg.f64 x) (/.f64 (*.f64 x x) (*.f64 x -1/2))) |
1/2 |
(/.f64 (/.f64 x (/.f64 x (*.f64 x -1/2))) (neg.f64 x)) |
1/2 |
(/.f64 (*.f64 (*.f64 x -1/2) (/.f64 x (neg.f64 x))) x) |
1/2 |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 -1 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 -1 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) |
1/2 |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) x)) (cbrt.f64 x)) |
(/.f64 (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) x) (/.f64 (cbrt.f64 x) (*.f64 x (*.f64 x -1/2)))) |
(/.f64 (*.f64 x -1/2) (/.f64 (cbrt.f64 x) (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (*.f64 (/.f64 (cbrt.f64 x) x) -2)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 1 x)) (neg.f64 x)) |
1/2 |
(/.f64 (*.f64 1 (/.f64 (*.f64 (*.f64 x x) 1/2) x)) x) |
1/2 |
(/.f64 (*.f64 1 (/.f64 (*.f64 x (neg.f64 x)) -2)) (*.f64 x x)) |
1/2 |
(/.f64 (*.f64 1 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) x) (sqrt.f64 (*.f64 (*.f64 x x) 1/2))) x) |
1/2 |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x x) 1/2))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 x 4) 1/4))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) 1/4))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 1/4)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (/.f64 1 x)) x) |
1/2 |
(/.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) 1) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (/.f64 (sqrt.f64 -1) x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) x)) |
(/.f64 x (/.f64 (/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (/.f64 (sqrt.f64 -1) x)) (*.f64 x -1/2))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) x) |
1/2 |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (/.f64 -1 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 x (*.f64 (*.f64 x -1/2) (/.f64 (sqrt.f64 -1) x))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 -1 x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 -1 x))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 -1/2 (/.f64 (sqrt.f64 -1) x)))) (sqrt.f64 x)) (sqrt.f64 (/.f64 -1 x))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) -1) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 x (*.f64 (*.f64 x -1/2) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) -1)) |
(/.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 (*.f64 x (*.f64 1/2 x)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) 1) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 x (*.f64 (*.f64 x -1/2) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 -1 x))) (cbrt.f64 x)) |
(/.f64 (*.f64 x (*.f64 (*.f64 x -1/2) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 -1 x)))) |
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 -1 x))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) |
(/.f64 (*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 x 4))) (*.f64 x (*.f64 x -1/2))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (*.f64 (/.f64 1 x) (*.f64 x (*.f64 x -1/2))) (neg.f64 x)) |
1/2 |
(/.f64 (*.f64 (/.f64 -1 (*.f64 x (sqrt.f64 x))) (*.f64 x (*.f64 x -1/2))) (sqrt.f64 x)) |
1/2 |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) x) (*.f64 x (*.f64 x -1/2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) x) (/.f64 (cbrt.f64 x) (*.f64 x (*.f64 x -1/2)))) |
(/.f64 (*.f64 x -1/2) (/.f64 (cbrt.f64 x) (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (*.f64 (/.f64 (cbrt.f64 x) x) -2)) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) 1) x) |
1/2 |
(/.f64 (*.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) 1) (*.f64 x x)) |
1/2 |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) 1) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (*.f64 1 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x))) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (/.f64 (sqrt.f64 -1) x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) x)) |
(/.f64 x (/.f64 (/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (/.f64 (sqrt.f64 -1) x)) (*.f64 x -1/2))) |
(/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x))) x) |
1/2 |
(/.f64 (*.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x))) (sqrt.f64 x)) |
(/.f64 (*.f64 x (*.f64 (*.f64 x -1/2) (/.f64 (sqrt.f64 -1) x))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 -1 x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 -1 x))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 -1/2 (/.f64 (sqrt.f64 -1) x)))) (sqrt.f64 x)) (sqrt.f64 (/.f64 -1 x))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) (/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) x)) x) |
1/2 |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 x 4) 1/4))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) 1/4))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 1/4)) |
(/.f64 (*.f64 (/.f64 x (neg.f64 x)) (*.f64 x -1/2)) x) |
1/2 |
(/.f64 (*.f64 -1 (/.f64 x (/.f64 x (*.f64 x -1/2)))) x) |
1/2 |
(/.f64 (*.f64 1 (/.f64 x (/.f64 x (*.f64 x -1/2)))) (neg.f64 x)) |
1/2 |
(/.f64 (*.f64 1 (/.f64 x (/.f64 x (*.f64 x -1/2)))) (/.f64 x -1)) |
1/2 |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (/.f64 x (/.f64 x (*.f64 x -1/2)))) (cbrt.f64 x)) |
(/.f64 (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) x) (/.f64 (cbrt.f64 x) (*.f64 x (*.f64 x -1/2)))) |
(/.f64 (*.f64 x -1/2) (/.f64 (cbrt.f64 x) (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (*.f64 (/.f64 (cbrt.f64 x) x) -2)) |
(/.f64 (*.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 x (/.f64 x (*.f64 x -1/2)))) (sqrt.f64 x)) |
1/2 |
(/.f64 (*.f64 -1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -1/2)))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) 1) (*.f64 x (neg.f64 x))) |
1/2 |
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
1/2 |
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
1/2 |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
1/2 |
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
1/2 |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) (sqrt.f64 x)) (sqrt.f64 x)) |
1/2 |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
1/2 |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
1/2 |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 x 1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) 1/2) (fabs.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 1/2 x) (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))))) |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) 1) (*.f64 x x)) |
1/2 |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
1/2 |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
1/2 |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
1/2 |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
1/2 |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) 1) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 x x) (/.f64 (cbrt.f64 (pow.f64 x 4)) 1/2)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 x 4))))) |
(*.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4))))) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2)) |
(pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 1) |
1/2 |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) x) 2) |
1/2 |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))) 3) |
1/2 |
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 3) 1/3) |
1/2 |
(neg.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (pow.f64 x -2))) |
1/2 |
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 4))) |
1/2 |
(log.f64 (exp.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) |
1/2 |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))))) |
1/2 |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 3)) |
1/2 |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (neg.f64 (pow.f64 x -2)) 3))) |
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8) (pow.f64 (neg.f64 (pow.f64 x -2)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -2) 3) (*.f64 1/8 (pow.f64 x 6)))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) |
1/2 |
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) |
1/2 |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) |
1/2 |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) |
| ✓ | 0.1b | (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
| ✓ | 0.4b | (*.f64 1/6 x) |
Compiled 38 to 29 computations (23.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
| 0.0ms | x | @ | inf | (*.f64 1/6 x) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
| 0.0ms | x | @ | -inf | (*.f64 1/6 x) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
| 1× | batch-egg-rewrite |
| 1428× | associate-*l/ |
| 1166× | associate-/r* |
| 1092× | *-commutative |
| 802× | associate-/l* |
| 544× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 49 |
| 1 | 243 | 49 |
| 2 | 3150 | 49 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 x) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/6 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (sqrt.f64 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/216 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/216 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 x (fma.f64 1/6 x (/.f64 2 x)))) (*.f64 (/.f64 1 (*.f64 x (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)))) (fma.f64 (neg.f64 (/.f64 2 x)) 1 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 x (fma.f64 1/6 x (/.f64 2 x)))) (*.f64 (/.f64 1 (*.f64 x (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)))) (fma.f64 -2 (/.f64 1 x) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 x (fma.f64 1/6 x (/.f64 2 x)))) (*.f64 (/.f64 1 (*.f64 x (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)))) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 x (fma.f64 1/6 x (/.f64 2 x)))) (*.f64 (/.f64 1 (*.f64 x (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 2 x))) (sqrt.f64 (/.f64 2 x)) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 x (fma.f64 1/6 x (/.f64 2 x)))) (*.f64 (/.f64 1 (*.f64 x (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 x (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)))) (*.f64 1/6 x)) (*.f64 (/.f64 1 (*.f64 x (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)))) (neg.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 x (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)))) (*.f64 1/6 x)) (*.f64 (/.f64 1 (*.f64 x (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)))) (*.f64 (/.f64 2 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 x (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)))) (*.f64 1/6 x)) (*.f64 (/.f64 1 (*.f64 x (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)))) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> 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| 1× | egg-herbie |
| 710× | associate-*r* |
| 668× | +-commutative |
| 556× | associate-*l* |
| 552× | *-commutative |
| 526× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 455 | 9020 |
| 1 | 1363 | 8708 |
| 2 | 6547 | 8708 |
| 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 1/288 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/3456 (pow.f64 x 6)) (*.f64 1/288 (pow.f64 x 4))))) |
(/.f64 6 (pow.f64 x 2)) |
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 10368 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))) |
(/.f64 6 (pow.f64 x 2)) |
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 10368 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))) |
(/.f64 2 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 x))) 1) |
(/.f64 1/6 (/.f64 1 x)) |
(/.f64 (*.f64 1/6 x) 1) |
(/.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x))) |
(/.f64 (*.f64 1/6 (sqrt.f64 x)) (pow.f64 x -1/2)) |
(/.f64 (*.f64 (neg.f64 x) 1/6) -1) |
(pow.f64 (*.f64 1/6 x) 1) |
(pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3) |
(pow.f64 (*.f64 1/216 (pow.f64 x 3)) 1/3) |
(sqrt.f64 (*.f64 1/36 (*.f64 x x))) |
(log.f64 (pow.f64 (exp.f64 1/6) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 x)))) |
(cbrt.f64 (*.f64 1/216 (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 1/6 x))) |
(exp.f64 (log.f64 (*.f64 1/6 x))) |
(log1p.f64 (expm1.f64 (*.f64 1/6 x))) |
(+.f64 (/.f64 1 (*.f64 x (fma.f64 1/6 x (/.f64 2 x)))) (*.f64 (/.f64 1 (*.f64 x (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)))) (fma.f64 (neg.f64 (/.f64 2 x)) 1 (/.f64 2 x)))) |
(+.f64 (/.f64 1 (*.f64 x (fma.f64 1/6 x (/.f64 2 x)))) (*.f64 (/.f64 1 (*.f64 x (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)))) (fma.f64 -2 (/.f64 1 x) (/.f64 2 x)))) |
(+.f64 (/.f64 1 (*.f64 x (fma.f64 1/6 x (/.f64 2 x)))) (*.f64 (/.f64 1 (*.f64 x (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)))) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))) |
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(/.f64 (sqrt.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2))) (/.f64 (+.f64 (*.f64 1/6 x) (/.f64 -2 x)) (sqrt.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))))) (/.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x)))) (cbrt.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2))) (cbrt.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)))) (/.f64 (+.f64 (*.f64 1/6 x) (/.f64 -2 x)) (cbrt.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2))) (neg.f64 (+.f64 (*.f64 1/6 x) (/.f64 -2 x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2))) (*.f64 1 (neg.f64 (+.f64 (*.f64 1/6 x) (/.f64 -2 x))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (*.f64 1 (neg.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/216 (pow.f64 x 3)) (*.f64 1/216 (pow.f64 x 3))) (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (*.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x)))) (-.f64 (*.f64 1/216 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 2 x) 2) (*.f64 1/36 (*.f64 x x))) (-.f64 (/.f64 2 x) (*.f64 1/6 x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 2 x) 2) (*.f64 1/36 (*.f64 x x))) (*.f64 1 (-.f64 (/.f64 2 x) (*.f64 1/6 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 1/36 (*.f64 x x))) (*.f64 (pow.f64 (/.f64 2 x) 2) (pow.f64 (/.f64 2 x) 2))) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 -2 x)) (+.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/216 (pow.f64 x 3)) 3) (pow.f64 (/.f64 8 (pow.f64 x 3)) 3)) (*.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x)))) (+.f64 (*.f64 (*.f64 1/216 (pow.f64 x 3)) (*.f64 1/216 (pow.f64 x 3))) (-.f64 (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (*.f64 (*.f64 1/216 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 1/36 (*.f64 x x)) 3) (pow.f64 (pow.f64 (/.f64 2 x) 2) 3)) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 -2 x)) (+.f64 (*.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 1/36 (*.f64 x x))) (+.f64 (*.f64 (pow.f64 (/.f64 2 x) 2) (pow.f64 (/.f64 2 x) 2)) (*.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2))) 1) (neg.f64 (+.f64 (*.f64 1/6 x) (/.f64 -2 x)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) 1) (neg.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 2 x) 2) (*.f64 1/36 (*.f64 x x))) 1) (-.f64 (/.f64 2 x) (*.f64 1/6 x))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/6 x (/.f64 2 x)))) (sqrt.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2))) (sqrt.f64 (fma.f64 1/6 x (/.f64 2 x)))) (sqrt.f64 (+.f64 (*.f64 1/6 x) (/.f64 -2 x)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2))) (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 (*.f64 1/6 x) (/.f64 -2 x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 1/36 (*.f64 x x))) (*.f64 (pow.f64 (/.f64 2 x) 2) (pow.f64 (/.f64 2 x) 2))) (/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 -2 x)))) (+.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 1/36 (*.f64 x x)) 3) (pow.f64 (pow.f64 (/.f64 2 x) 2) 3)) (/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 -2 x)))) (+.f64 (*.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 1/36 (*.f64 x x))) (+.f64 (*.f64 (pow.f64 (/.f64 2 x) 2) (pow.f64 (/.f64 2 x) 2)) (*.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 1/216 (pow.f64 x 3)) (*.f64 1/216 (pow.f64 x 3))) (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (/.f64 1 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x)))))) (-.f64 (*.f64 1/216 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/216 (pow.f64 x 3)) 3) (pow.f64 (/.f64 8 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x)))))) (+.f64 (*.f64 (*.f64 1/216 (pow.f64 x 3)) (*.f64 1/216 (pow.f64 x 3))) (-.f64 (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (*.f64 (*.f64 1/216 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)) 1) (+.f64 (*.f64 1/6 x) (/.f64 -2 x))) |
(/.f64 (/.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)) (sqrt.f64 (+.f64 (*.f64 1/6 x) (/.f64 -2 x)))) (sqrt.f64 (+.f64 (*.f64 1/6 x) (/.f64 -2 x)))) |
(/.f64 (/.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/6 x) (/.f64 -2 x))) (cbrt.f64 (+.f64 (*.f64 1/6 x) (/.f64 -2 x))))) (cbrt.f64 (+.f64 (*.f64 1/6 x) (/.f64 -2 x)))) |
(/.f64 (/.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)) (+.f64 (sqrt.f64 (*.f64 1/6 x)) (sqrt.f64 (/.f64 2 x)))) (-.f64 (sqrt.f64 (*.f64 1/6 x)) (sqrt.f64 (/.f64 2 x)))) |
(/.f64 (/.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) 1) (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x))))) |
(/.f64 (/.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x)))))) (sqrt.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x))))) (cbrt.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x))))))) (cbrt.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x)))))) |
(pow.f64 (fma.f64 1/6 x (/.f64 2 x)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 2 x))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 2 x))) 3) |
(pow.f64 (pow.f64 (fma.f64 1/6 x (/.f64 2 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 2 x)) 2)) |
(log.f64 (exp.f64 (fma.f64 1/6 x (/.f64 2 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 x (/.f64 2 x))))) |
(cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 2 x)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 1/6 x (/.f64 2 x)))) |
(exp.f64 (log.f64 (fma.f64 1/6 x (/.f64 2 x)))) |
(log1p.f64 (expm1.f64 (fma.f64 1/6 x (/.f64 2 x)))) |
(fma.f64 1/6 x (/.f64 2 x)) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(fma.f64 1 (*.f64 1/6 x) (/.f64 2 x)) |
(fma.f64 1 (/.f64 2 x) (*.f64 1/6 x)) |
(fma.f64 (/.f64 1 x) 2 (*.f64 1/6 x)) |
(fma.f64 2 (/.f64 1 x) (*.f64 1/6 x)) |
(fma.f64 (sqrt.f64 (*.f64 1/6 x)) (sqrt.f64 (*.f64 1/6 x)) (/.f64 2 x)) |
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 1/6 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2) (cbrt.f64 (*.f64 1/6 x)) (/.f64 2 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 1/6 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 1/288 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/288 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/288 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/3456 (pow.f64 x 6)) (*.f64 1/288 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/3456 (pow.f64 x 6) (*.f64 1/288 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/288 (pow.f64 x 4) (*.f64 -1/3456 (pow.f64 x 6)))) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (*.f64 x x)) |
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (/.f64 6 (*.f64 x x)) (/.f64 72 (pow.f64 x 4))) |
(+.f64 (/.f64 6 (*.f64 x x)) (/.f64 -72 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 864 (pow.f64 x 6))) (/.f64 72 (pow.f64 x 4))) |
(+.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 864 (pow.f64 x 6)) (/.f64 -72 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 10368 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 6 (*.f64 x x)) (-.f64 (/.f64 864 (pow.f64 x 6)) (+.f64 (/.f64 72 (pow.f64 x 4)) (/.f64 10368 (pow.f64 x 8))))) |
(+.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 864 (pow.f64 x 6)) (-.f64 (/.f64 -72 (pow.f64 x 4)) (/.f64 10368 (pow.f64 x 8))))) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (*.f64 x x)) |
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (/.f64 6 (*.f64 x x)) (/.f64 72 (pow.f64 x 4))) |
(+.f64 (/.f64 6 (*.f64 x x)) (/.f64 -72 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 864 (pow.f64 x 6))) (/.f64 72 (pow.f64 x 4))) |
(+.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 864 (pow.f64 x 6)) (/.f64 -72 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 10368 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 6 (*.f64 x x)) (-.f64 (/.f64 864 (pow.f64 x 6)) (+.f64 (/.f64 72 (pow.f64 x 4)) (/.f64 10368 (pow.f64 x 8))))) |
(+.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 864 (pow.f64 x 6)) (-.f64 (/.f64 -72 (pow.f64 x 4)) (/.f64 10368 (pow.f64 x 8))))) |
(/.f64 2 x) |
(*.f64 1/6 x) |
(*.f64 x 1/6) |
(*.f64 1/6 x) |
(*.f64 x 1/6) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 x))) 1) |
(*.f64 x 1/6) |
(/.f64 1/6 (/.f64 1 x)) |
(*.f64 x 1/6) |
(/.f64 (*.f64 1/6 x) 1) |
(*.f64 x 1/6) |
(/.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x))) |
(/.f64 1/6 (/.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 x) (*.f64 1/6 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 1/6 (sqrt.f64 x)) (pow.f64 x -1/2)) |
(/.f64 1/6 (/.f64 (pow.f64 x -1/2) (sqrt.f64 x))) |
(*.f64 (/.f64 1/6 (pow.f64 x -1/2)) (sqrt.f64 x)) |
(/.f64 (*.f64 (neg.f64 x) 1/6) -1) |
(/.f64 (neg.f64 x) -6) |
(pow.f64 (*.f64 1/6 x) 1) |
(*.f64 x 1/6) |
(pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2) |
(*.f64 x 1/6) |
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3) |
(*.f64 x 1/6) |
(pow.f64 (*.f64 1/216 (pow.f64 x 3)) 1/3) |
(cbrt.f64 (*.f64 1/216 (pow.f64 x 3))) |
(sqrt.f64 (*.f64 1/36 (*.f64 x x))) |
(sqrt.f64 (*.f64 x (*.f64 x 1/36))) |
(log.f64 (pow.f64 (exp.f64 1/6) x)) |
(*.f64 x 1/6) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 x)))) |
(*.f64 x 1/6) |
(cbrt.f64 (*.f64 1/216 (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 1/6 x))) |
(*.f64 x 1/6) |
(exp.f64 (log.f64 (*.f64 1/6 x))) |
(*.f64 x 1/6) |
(log1p.f64 (expm1.f64 (*.f64 1/6 x))) |
(*.f64 x 1/6) |
(+.f64 (/.f64 1 (*.f64 x (fma.f64 1/6 x (/.f64 2 x)))) (*.f64 (/.f64 1 (*.f64 x (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)))) (fma.f64 (neg.f64 (/.f64 2 x)) 1 (/.f64 2 x)))) |
(+.f64 (/.f64 (/.f64 1 x) (fma.f64 x 1/6 (/.f64 2 x))) (*.f64 (/.f64 (/.f64 1 x) (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2))) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))) |
(+.f64 (/.f64 (/.f64 1 x) (fma.f64 x 1/6 (/.f64 2 x))) (/.f64 (*.f64 0 (/.f64 2 x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 (/.f64 2 x) 2))))) |
(*.f64 (/.f64 1 x) (+.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 2 x))) (/.f64 (*.f64 (/.f64 1 x) 0) (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 (/.f64 2 x) 2))))) |
(+.f64 (/.f64 1 (*.f64 x (fma.f64 1/6 x (/.f64 2 x)))) (*.f64 (/.f64 1 (*.f64 x (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)))) (fma.f64 -2 (/.f64 1 x) (/.f64 2 x)))) |
(+.f64 (/.f64 (/.f64 1 x) (fma.f64 x 1/6 (/.f64 2 x))) (*.f64 (/.f64 (/.f64 1 x) (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2))) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))) |
(+.f64 (/.f64 (/.f64 1 x) (fma.f64 x 1/6 (/.f64 2 x))) (/.f64 (*.f64 0 (/.f64 2 x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 (/.f64 2 x) 2))))) |
(*.f64 (/.f64 1 x) (+.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 2 x))) (/.f64 (*.f64 (/.f64 1 x) 0) (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 (/.f64 2 x) 2))))) |
(+.f64 (/.f64 1 (*.f64 x (fma.f64 1/6 x (/.f64 2 x)))) (*.f64 (/.f64 1 (*.f64 x (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)))) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))) |
(+.f64 (/.f64 (/.f64 1 x) (fma.f64 x 1/6 (/.f64 2 x))) (*.f64 (/.f64 (/.f64 1 x) (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2))) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))) |
(+.f64 (/.f64 (/.f64 1 x) (fma.f64 x 1/6 (/.f64 2 x))) (/.f64 (*.f64 0 (/.f64 2 x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 (/.f64 2 x) 2))))) |
(*.f64 (/.f64 1 x) (+.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 2 x))) (/.f64 (*.f64 (/.f64 1 x) 0) (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 (/.f64 2 x) 2))))) |
(+.f64 (/.f64 1 (*.f64 x (fma.f64 1/6 x (/.f64 2 x)))) (*.f64 (/.f64 1 (*.f64 x (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 2 x))) (sqrt.f64 (/.f64 2 x)) (/.f64 2 x)))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 2 x) 2) (*.f64 1/36 (*.f64 x x))) (-.f64 (/.f64 2 x) (*.f64 1/6 x))) |
(/.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)) (fma.f64 1/6 x (/.f64 -2 x))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 (/.f64 2 x) 2)) (fma.f64 x 1/6 (/.f64 -2 x))) |
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(/.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)) (fma.f64 1/6 x (/.f64 -2 x))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 (/.f64 2 x) 2)) (fma.f64 x 1/6 (/.f64 -2 x))) |
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 1/36 (*.f64 x x))) (*.f64 (pow.f64 (/.f64 2 x) 2) (pow.f64 (/.f64 2 x) 2))) (/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 -2 x)))) (+.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2))) |
(/.f64 (/.f64 (-.f64 (*.f64 1/1296 (pow.f64 x 4)) (pow.f64 (/.f64 2 x) 4)) (fma.f64 1/6 x (/.f64 -2 x))) (fma.f64 1/36 (*.f64 x x) (pow.f64 (/.f64 2 x) 2))) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/1296) (pow.f64 (/.f64 2 x) 4)) (fma.f64 x 1/6 (/.f64 -2 x))) (fma.f64 1/36 (*.f64 x x) (pow.f64 (/.f64 2 x) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 1/36 (*.f64 x x)) 3) (pow.f64 (pow.f64 (/.f64 2 x) 2) 3)) (/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 -2 x)))) (+.f64 (*.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 1/36 (*.f64 x x))) (+.f64 (*.f64 (pow.f64 (/.f64 2 x) 2) (pow.f64 (/.f64 2 x) 2)) (*.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 1/36 (*.f64 x x)) 3) (pow.f64 (pow.f64 (/.f64 2 x) 2) 3)) (*.f64 (fma.f64 1/6 x (/.f64 -2 x)) (+.f64 (*.f64 1/1296 (pow.f64 x 4)) (*.f64 (pow.f64 (/.f64 2 x) 2) (fma.f64 1/36 (*.f64 x x) (pow.f64 (/.f64 2 x) 2)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/46656) (pow.f64 (pow.f64 (/.f64 2 x) 2) 3)) (*.f64 (fma.f64 x 1/6 (/.f64 -2 x)) (fma.f64 1/1296 (pow.f64 x 4) (fma.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 (/.f64 2 x) 2) (pow.f64 (/.f64 2 x) 4))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 1/216 (pow.f64 x 3)) (*.f64 1/216 (pow.f64 x 3))) (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (/.f64 1 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x)))))) (-.f64 (*.f64 1/216 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) |
(/.f64 (-.f64 (*.f64 1/46656 (pow.f64 x 6)) (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (*.f64 (fma.f64 1/36 (*.f64 x x) (*.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 -1/6 x)))) (-.f64 (*.f64 1/216 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/46656) (pow.f64 (pow.f64 (/.f64 2 x) 2) 3)) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 x -1/6)) (*.f64 x (*.f64 x 1/36)))) (fma.f64 1/216 (pow.f64 x 3) (/.f64 -8 (pow.f64 x 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/216 (pow.f64 x 3)) 3) (pow.f64 (/.f64 8 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x)))))) (+.f64 (*.f64 (*.f64 1/216 (pow.f64 x 3)) (*.f64 1/216 (pow.f64 x 3))) (-.f64 (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (*.f64 (*.f64 1/216 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 1/10077696 (pow.f64 (pow.f64 x 3) 3)) (/.f64 512 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 1/36 (*.f64 x x) (*.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 -1/6 x))))) (+.f64 (*.f64 1/46656 (pow.f64 x 6)) (*.f64 (/.f64 8 (pow.f64 x 3)) (-.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 1/216 (pow.f64 x 3)))))) |
(/.f64 (fma.f64 1/10077696 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 2 x) 3) 3)) (*.f64 (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 x -1/6)) (*.f64 x (*.f64 x 1/36))) (-.f64 (fma.f64 1/46656 (pow.f64 x 6) (pow.f64 (pow.f64 (/.f64 2 x) 2) 3)) (/.f64 (*.f64 (pow.f64 x 3) 1/27) (pow.f64 x 3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)) 1) (+.f64 (*.f64 1/6 x) (/.f64 -2 x))) |
(/.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)) (fma.f64 1/6 x (/.f64 -2 x))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 (/.f64 2 x) 2)) (fma.f64 x 1/6 (/.f64 -2 x))) |
(/.f64 (/.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)) (sqrt.f64 (+.f64 (*.f64 1/6 x) (/.f64 -2 x)))) (sqrt.f64 (+.f64 (*.f64 1/6 x) (/.f64 -2 x)))) |
(/.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)) (fma.f64 1/6 x (/.f64 -2 x))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 (/.f64 2 x) 2)) (fma.f64 x 1/6 (/.f64 -2 x))) |
(/.f64 (/.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/6 x) (/.f64 -2 x))) (cbrt.f64 (+.f64 (*.f64 1/6 x) (/.f64 -2 x))))) (cbrt.f64 (+.f64 (*.f64 1/6 x) (/.f64 -2 x)))) |
(/.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)) (fma.f64 1/6 x (/.f64 -2 x))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 (/.f64 2 x) 2)) (fma.f64 x 1/6 (/.f64 -2 x))) |
(/.f64 (/.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)) (+.f64 (sqrt.f64 (*.f64 1/6 x)) (sqrt.f64 (/.f64 2 x)))) (-.f64 (sqrt.f64 (*.f64 1/6 x)) (sqrt.f64 (/.f64 2 x)))) |
(/.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (/.f64 2 x) 2)) (*.f64 (-.f64 (sqrt.f64 (*.f64 x 1/6)) (sqrt.f64 (/.f64 2 x))) (+.f64 (sqrt.f64 (*.f64 x 1/6)) (sqrt.f64 (/.f64 2 x))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 (/.f64 2 x) 2)) (*.f64 (+.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (*.f64 x 1/6))) (-.f64 (sqrt.f64 (*.f64 x 1/6)) (sqrt.f64 (/.f64 2 x))))) |
(/.f64 (/.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) 1) (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x))))) |
(/.f64 (fma.f64 1/216 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 1/36 (*.f64 x x) (*.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 -1/6 x))))) |
(/.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3)) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 x -1/6)) (*.f64 x (*.f64 x 1/36)))) |
(/.f64 (/.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x)))))) (sqrt.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 1/36 (*.f64 x x) (*.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 -1/6 x))))) |
(/.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3)) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 x -1/6)) (*.f64 x (*.f64 x 1/36)))) |
(/.f64 (/.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x))))) (cbrt.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x))))))) (cbrt.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 1/6 x)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 1/36 (*.f64 x x) (*.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 -1/6 x))))) |
(/.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3)) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 x -1/6)) (*.f64 x (*.f64 x 1/36)))) |
(pow.f64 (fma.f64 1/6 x (/.f64 2 x)) 1) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 2 x))) 2) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 2 x))) 3) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(pow.f64 (pow.f64 (fma.f64 1/6 x (/.f64 2 x)) 3) 1/3) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(sqrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 2 x)) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 x 1/6 (/.f64 2 x)) 2)) |
(fabs.f64 (fma.f64 x 1/6 (/.f64 2 x))) |
(log.f64 (exp.f64 (fma.f64 1/6 x (/.f64 2 x)))) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 x (/.f64 2 x))))) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 2 x)) 3)) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(expm1.f64 (log1p.f64 (fma.f64 1/6 x (/.f64 2 x)))) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(exp.f64 (log.f64 (fma.f64 1/6 x (/.f64 2 x)))) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(log1p.f64 (expm1.f64 (fma.f64 1/6 x (/.f64 2 x)))) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(fma.f64 1/6 x (/.f64 2 x)) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(fma.f64 1 (*.f64 1/6 x) (/.f64 2 x)) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(fma.f64 1 (/.f64 2 x) (*.f64 1/6 x)) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(fma.f64 (/.f64 1 x) 2 (*.f64 1/6 x)) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(fma.f64 2 (/.f64 1 x) (*.f64 1/6 x)) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(fma.f64 (sqrt.f64 (*.f64 1/6 x)) (sqrt.f64 (*.f64 1/6 x)) (/.f64 2 x)) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 1/6 x)) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2) (cbrt.f64 (*.f64 1/6 x)) (/.f64 2 x)) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 1/6 x)) |
(fma.f64 x 1/6 (/.f64 2 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
| 1.1b | (-.f64 1 (cos.f64 x)) | |
| ✓ | 14.4b | (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
Compiled 30 to 14 computations (53.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
| 0.0ms | x | @ | inf | (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
| 1× | batch-egg-rewrite |
| 1620× | associate-*l/ |
| 1590× | associate-/r* |
| 1106× | associate-/l* |
| 994× | *-commutative |
| 680× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 52 |
| 1 | 216 | 46 |
| 2 | 2962 | 46 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> 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1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 x)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1)))) (#(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)) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.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)))))))) |
| 1× | egg-herbie |
| 1480× | associate-/r/ |
| 588× | distribute-lft-neg-out |
| 542× | distribute-rgt-neg-out |
| 540× | *-commutative |
| 480× | associate-*r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 389 | 5930 |
| 1 | 1217 | 5772 |
| 2 | 4765 | 5770 |
| 1× | node limit |
| Inputs |
|---|
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))) |
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 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) 1) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 1) |
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2)) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x))) |
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x))) |
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x)))) |
(*.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 x (/.f64 1 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x 1)) |
(*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x)) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 x x) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 1 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x))) |
(*.f64 (/.f64 x 1) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x 4)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 1) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2) 1) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (/.f64 x (/.f64 1 x)) 1) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 x (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (neg.f64 x)) |
(*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 x x) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (*.f64 x x) (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2) -1) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)) |
(*.f64 (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 x (/.f64 1 x)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 x (/.f64 1 x)) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (/.f64 x (/.f64 1 x)) (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 x (/.f64 1 x)) (+.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 (/.f64 (*.f64 x x) (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 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (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 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) |
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 1) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) -1) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 3) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 3) 1/3) |
(neg.f64 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))) |
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(log.f64 (exp.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(exp.f64 (log.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2)) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (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 (pow.f64 (cbrt.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 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (pow.f64 x -2) (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 -1 (neg.f64 (*.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(*.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 (cos.f64 x)) (*.f64 x x)) -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 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.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 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (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 (pow.f64 (cbrt.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))) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1)) |
(*.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 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1) (pow.f64 x -2)) |
(*.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 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) -1) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2) -1)) |
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 -1 (neg.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 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 (neg.f64 x)))) (neg.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) -1) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (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 -1 (neg.f64 (*.f64 x (neg.f64 x)))) (+.f64 -1 (cos.f64 x))) |
(*.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 (+.f64 1 (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 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (*.f64 (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) (+.f64 1 (cos.f64 x))) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) 1) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 x)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (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) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -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)) |
(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 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 (log.f64 x) 2))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
| Outputs |
|---|
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 1/120 (pow.f64 x 4))) |
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/120 (pow.f64 x 4) 2)) |
(+.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 1/120 (pow.f64 x 4)))) |
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/3024 (pow.f64 x 6)))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.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 (pow.f64 x 4) 1/720))) |
(+.f64 1/2 (fma.f64 (pow.f64 x 4) 1/720 (*.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 (pow.f64 x 4) 1/720)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 (pow.f64 x 4) 1/720 (*.f64 (pow.f64 x 6) -1/40320)))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 (pow.f64 x 4) 1/720 (*.f64 (pow.f64 x 6) -1/40320))) |
(/.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 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) 1) |
(*.f64 x (/.f64 x (-.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 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 1) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(/.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x)))) |
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x))) |
(*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) x)) |
(*.f64 (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) x) |
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 x (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 x)))) |
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x))) |
(*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) x)) |
(*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (*.f64 x (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x)))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 x (/.f64 1 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x 1)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x)) (+.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) x)) |
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(*.f64 (*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (-.f64 -1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.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) (+.f64 1 (cos.f64 x))) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) |
(/.f64 (*.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 3))) |
(*.f64 (*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) 3))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (-.f64 (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3)) (pow.f64 x -2))) (+.f64 1 (*.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 x)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) 1) (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 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 x)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 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)) (pow.f64 x -2))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (/.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(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)) |
(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 (sqrt.f64 (-.f64 1 (cos.f64 x))) 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)) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -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)) |
(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 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 (log.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 x (*.f64 x (neg.f64 x))) | |
| ✓ | 0.1b | (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) |
| 1.1b | (-.f64 1 (cos.f64 x)) | |
| ✓ | 26.6b | (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
Compiled 42 to 15 computations (64.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) |
| 0.0ms | x | @ | 0 | (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
| 1× | batch-egg-rewrite |
| 672× | associate-/l/ |
| 616× | associate-/r/ |
| 590× | distribute-rgt-in |
| 548× | distribute-lft-in |
| 520× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 64 |
| 1 | 259 | 40 |
| 2 | 4189 | 40 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1356× | associate-/r/ |
| 990× | unswap-sqr |
| 480× | associate-+r+ |
| 434× | associate-/l* |
| 430× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 369 | 4702 |
| 1 | 1056 | 4298 |
| 2 | 3933 | 4298 |
| 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 3)) |
(+.f64 (*.f64 1/24 (pow.f64 x 5)) (*.f64 -1/2 (pow.f64 x 3))) |
(+.f64 (*.f64 1/24 (pow.f64 x 5)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/720 (pow.f64 x 7)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 5)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/40320 (pow.f64 x 9)) (*.f64 -1/720 (pow.f64 x 7))))) |
(*.f64 -1 (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(+.f64 (*.f64 x (/.f64 1 (pow.f64 x 3))) (*.f64 (*.f64 x (neg.f64 (cos.f64 x))) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 x (/.f64 1 (pow.f64 x 3))) (*.f64 (*.f64 (neg.f64 (cos.f64 x)) x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 x (neg.f64 (cos.f64 x))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 (neg.f64 (cos.f64 x)) x))) |
(+.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3)) 0) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(+.f64 (*.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1) |
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (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 (/.f64 1 (pow.f64 x 3)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (pow.f64 x 3))) |
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (/.f64 1 (*.f64 x x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x (/.f64 1 (pow.f64 x 3))))) |
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (/.f64 x (pow.f64 x 3)))) |
(*.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (pow.f64 x 3)))) |
(*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))) |
(*.f64 x (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3)))) |
(*.f64 x (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (pow.f64 x 3))))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 (pow.f64 x 3))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 (/.f64 1 (pow.f64 x 3)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) -1) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 x x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (neg.f64 (/.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (neg.f64 (/.f64 (sqrt.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)) (/.f64 1 (pow.f64 x 3)))) |
(*.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 (pow.f64 x 3))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) x) (pow.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) x) 2)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) x) (neg.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) x) 2))) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) x) 2) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) x)) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) x) 2) (neg.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) x))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 (pow.f64 x 3)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 2) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 (pow.f64 x 3))))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 x x)) (/.f64 1 (*.f64 x x))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 x x)) (neg.f64 (/.f64 1 (*.f64 x x)))) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 1 (cos.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 x) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 1 (*.f64 x (sqrt.f64 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 x (sqrt.f64 x))) (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x (sqrt.f64 x))))) |
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 x x))) |
(*.f64 (/.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 x (pow.f64 x 3)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (*.f64 x (sqrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (/.f64 x (*.f64 x (sqrt.f64 x))) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3)) x) |
(*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (/.f64 1 (pow.f64 x 3)))) |
(*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 x x))) |
(*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (pow.f64 x 3))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (/.f64 x (*.f64 x (sqrt.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (neg.f64 (/.f64 x (*.f64 x (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 x 3))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 1) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 x 3)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 x 3)) (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) x) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) x) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x x)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x x)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x x)) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 x 3))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1) (neg.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 x 3)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 2) x) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 2) x) (neg.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 x (sqrt.f64 x))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 x (sqrt.f64 x))) (neg.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 x x)) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 x x)) (neg.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) x))) |
(*.f64 (/.f64 1 (/.f64 (pow.f64 x 3) (-.f64 1 (cos.f64 x)))) x) |
(*.f64 (/.f64 1 (/.f64 (pow.f64 x 3) (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)))) (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 x 3) 1)) x) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 x 3) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 x 3) -1)) x) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 x 3)) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 x 3)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x x)) x) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 1)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 x 3))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1)) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 x 3))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (neg.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) x)) (pow.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) x) 2)) |
(*.f64 (neg.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) x) 2)) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) x)) |
(*.f64 (neg.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)) |
(*.f64 (neg.f64 (/.f64 1 (*.f64 x (sqrt.f64 x)))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (neg.f64 (/.f64 1 (*.f64 x x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 x x))) |
(*.f64 (neg.f64 (/.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (neg.f64 (/.f64 x (*.f64 x (sqrt.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))) x) |
(*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) (/.f64 x (*.f64 x (sqrt.f64 x)))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) x)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x x))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x x))) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) x)) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 2) x)) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x x))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 x (sqrt.f64 x)))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 x x))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) x)) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) x) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3) |
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 (pow.f64 x 3) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(+.f64 x (*.f64 x (neg.f64 (cos.f64 x)))) |
(+.f64 x (*.f64 (neg.f64 (cos.f64 x)) x)) |
(+.f64 x (*.f64 1 (*.f64 x (neg.f64 (cos.f64 x))))) |
(+.f64 x (*.f64 1 (*.f64 (neg.f64 (cos.f64 x)) x))) |
(+.f64 x (*.f64 -1 (*.f64 x (neg.f64 (cos.f64 x))))) |
(+.f64 x (*.f64 -1 (*.f64 (neg.f64 (cos.f64 x)) x))) |
(+.f64 x (*.f64 (*.f64 x (neg.f64 (cos.f64 x))) 1)) |
(+.f64 x (*.f64 (*.f64 (neg.f64 (cos.f64 x)) x) 1)) |
(+.f64 x (*.f64 (*.f64 x (neg.f64 (cos.f64 x))) -1)) |
(+.f64 x (*.f64 (*.f64 (neg.f64 (cos.f64 x)) x) -1)) |
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(+.f64 (*.f64 x (neg.f64 (cos.f64 x))) x) |
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) x) x) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)))) 1) |
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) 0) (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(+.f64 (*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) 0) (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(+.f64 (*.f64 0 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(+.f64 (*.f64 0 (neg.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(-.f64 x (*.f64 x (neg.f64 (cos.f64 x)))) |
(-.f64 x (*.f64 (neg.f64 (cos.f64 x)) x)) |
(-.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x (neg.f64 (cos.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) x))) 1) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) x) 1) |
(/.f64 (*.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) x) 1) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/3) |
(neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) x) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) x) 3)) |
(cbrt.f64 (*.f64 (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 (-.f64 1 (cos.f64 x)) x))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.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 1/720 (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 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)) |
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(fma.f64 x (neg.f64 (cos.f64 x)) x) |
(*.f64 x (-.f64 1 (cos.f64 x))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(-.f64 x (*.f64 x (neg.f64 (cos.f64 x)))) |
(+.f64 x (*.f64 (cos.f64 x) x)) |
(fma.f64 x (cos.f64 x) x) |
(-.f64 x (*.f64 (neg.f64 (cos.f64 x)) x)) |
(+.f64 x (*.f64 (cos.f64 x) x)) |
(fma.f64 x (cos.f64 x) x) |
(-.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) |
(*.f64 x (+.f64 -1 (cos.f64 x))) |
(-.f64 (*.f64 x (cos.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x (neg.f64 (cos.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 x)) (+.f64 1 (*.f64 (cos.f64 x) x))) |
(-.f64 (expm1.f64 (log1p.f64 x)) (*.f64 x (cos.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) x))) |
(-.f64 (exp.f64 (log1p.f64 x)) (+.f64 1 (*.f64 (cos.f64 x) x))) |
(-.f64 (expm1.f64 (log1p.f64 x)) (*.f64 x (cos.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) x))) 1) |
(fma.f64 x (neg.f64 (cos.f64 x)) x) |
(*.f64 x (-.f64 1 (cos.f64 x))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) x) 1) |
(fma.f64 x (neg.f64 (cos.f64 x)) x) |
(*.f64 x (-.f64 1 (cos.f64 x))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(/.f64 (*.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (*.f64 x (sin.f64 x)) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 x (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (sin.f64 x)) |
(/.f64 (*.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 x (/.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 x (+.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)) x) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (*.f64 x (sin.f64 x)) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 x (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (sin.f64 x)) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 x (/.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 x (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) x) 1) |
(fma.f64 x (neg.f64 (cos.f64 x)) x) |
(*.f64 x (-.f64 1 (cos.f64 x))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 2) |
(fma.f64 x (neg.f64 (cos.f64 x)) x) |
(*.f64 x (-.f64 1 (cos.f64 x))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 3) |
(fma.f64 x (neg.f64 (cos.f64 x)) x) |
(*.f64 x (-.f64 1 (cos.f64 x))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/3) |
(fma.f64 x (neg.f64 (cos.f64 x)) x) |
(*.f64 x (-.f64 1 (cos.f64 x))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) |
(*.f64 x (+.f64 -1 (cos.f64 x))) |
(-.f64 (*.f64 x (cos.f64 x)) x) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) x) 2)) |
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 (cos.f64 x))) 2)) |
(fabs.f64 (*.f64 x (-.f64 1 (cos.f64 x)))) |
(fabs.f64 (-.f64 x (*.f64 x (cos.f64 x)))) |
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 (cos.f64 x)))) |
(fma.f64 x (neg.f64 (cos.f64 x)) x) |
(*.f64 x (-.f64 1 (cos.f64 x))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)))) |
(fma.f64 x (neg.f64 (cos.f64 x)) x) |
(*.f64 x (-.f64 1 (cos.f64 x))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) x) 3)) |
(fma.f64 x (neg.f64 (cos.f64 x)) x) |
(*.f64 x (-.f64 1 (cos.f64 x))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 3))) |
(fma.f64 x (neg.f64 (cos.f64 x)) x) |
(*.f64 x (-.f64 1 (cos.f64 x))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3))) |
(fma.f64 x (neg.f64 (cos.f64 x)) x) |
(*.f64 x (-.f64 1 (cos.f64 x))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) x))) |
(fma.f64 x (neg.f64 (cos.f64 x)) x) |
(*.f64 x (-.f64 1 (cos.f64 x))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) x))) |
(fma.f64 x (neg.f64 (cos.f64 x)) x) |
(*.f64 x (-.f64 1 (cos.f64 x))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) x)) 1)) |
(fma.f64 x (neg.f64 (cos.f64 x)) x) |
(*.f64 x (-.f64 1 (cos.f64 x))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) x))) |
(fma.f64 x (neg.f64 (cos.f64 x)) x) |
(*.f64 x (-.f64 1 (cos.f64 x))) |
(-.f64 x (*.f64 x (cos.f64 x))) |
Compiled 29530 to 17760 computations (39.9% saved)
24 alts after pruning (16 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1438 | 8 | 1446 |
| Fresh | 2 | 8 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 8 | 11 |
| Total | 1444 | 24 | 1468 |
| Status | Error | Program |
|---|---|---|
| 32.9b | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) | |
| ✓ | 32.9b | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| 13.7b | (/.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 x) -6) (*.f64 2 (/.f64 1 x)))) | |
| ✓ | 13.7b | (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
| 47.2b | (/.f64 (/.f64 1 x) (*.f64 x 1/6)) | |
| 37.2b | (/.f64 (-.f64 (*.f64 x (cos.f64 x)) x) (*.f64 x (*.f64 x (neg.f64 x)))) | |
| 49.3b | (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) | |
| ✓ | 33.8b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 47.0b | (/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2)) | |
| 47.1b | (/.f64 6 (*.f64 x x)) | |
| ✓ | 34.0b | (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
| 33.4b | (/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x))) | |
| 33.8b | (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| ✓ | 29.5b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 37.1b | (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x x)) x) | |
| 33.5b | (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) | |
| 19.0b | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) | |
| 18.9b | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) | |
| 28.7b | (*.f64 (/.f64 -1/2 x) (neg.f64 x)) | |
| ✓ | 33.8b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 33.0b | (*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) | |
| ✓ | 0.1b | (neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
| ✓ | 0.2b | (neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 x) (sin.f64 x))) (neg.f64 x))) |
| 28.7b | 1/2 |
Compiled 265 to 182 computations (31.3% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(*.f64 (/.f64 -1/2 x) (neg.f64 x)) |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (*.f64 x 1/6)) |
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x))) |
(/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 x) -6) (*.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 1 x) x) (-.f64 1 (cos.f64 x))) |
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x x)) x) |
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 x (cos.f64 x)) x) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
(+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x 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)) (*.f64 (/.f64 1 x) (sin.f64 x))) (neg.f64 x))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(*.f64 (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))) (sin.f64 x)) |
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2))) |
(/.f64 (/.f64 (/.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 x x)) |
| Outputs |
|---|
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
2 calls:
| 20.0ms | x |
| 8.0ms | (/.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 503 to 259 computations (48.5% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(*.f64 (/.f64 -1/2 x) (neg.f64 x)) |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (*.f64 x 1/6)) |
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x))) |
(/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 x) -6) (*.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 1 x) x) (-.f64 1 (cos.f64 x))) |
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x x)) x) |
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 x (cos.f64 x)) x) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
(+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
2 calls:
| 75.0ms | x |
| 13.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
| 0.6b | 2 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 349 to 177 computations (49.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 8.014449104125506e-7 | 0.16579013141996987 |
| 16.0ms | -0.1020883750901842 | -8.403757712368372e-5 |
| 32.0ms | 272× | body | 256 | valid |
Compiled 354 to 273 computations (22.9% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(*.f64 (/.f64 -1/2 x) (neg.f64 x)) |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (*.f64 x 1/6)) |
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x))) |
(/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 x) -6) (*.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 1 x) x) (-.f64 1 (cos.f64 x))) |
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x x)) x) |
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 x (cos.f64 x)) x) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
(+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) |
| Outputs |
|---|
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
2 calls:
| 54.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 38.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
| 0.5b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 298 to 153 computations (48.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 8.014449104125506e-7 | 0.16579013141996987 |
| 17.0ms | -0.1020883750901842 | -8.403757712368372e-5 |
| 30.0ms | 272× | body | 256 | valid |
Compiled 370 to 281 computations (24.1% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(*.f64 (/.f64 -1/2 x) (neg.f64 x)) |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (*.f64 x 1/6)) |
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x))) |
(/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 x) -6) (*.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 1 x) x) (-.f64 1 (cos.f64 x))) |
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
2 calls:
| 46.0ms | x |
| 33.0ms | (/.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 183 to 107 computations (41.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 8.014449104125506e-7 | 0.16579013141996987 |
| 19.0ms | -0.1020883750901842 | -8.403757712368372e-5 |
| 30.0ms | 272× | body | 256 | valid |
Compiled 370 to 281 computations (24.1% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(*.f64 (/.f64 -1/2 x) (neg.f64 x)) |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (*.f64 x 1/6)) |
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x))) |
(/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 x) -6) (*.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)) |
| 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:
| 61.0ms | 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 163 to 96 computations (41.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 8.014449104125506e-7 | 0.16579013141996987 |
| 19.0ms | -0.1020883750901842 | -8.403757712368372e-5 |
| 32.0ms | 272× | body | 256 | valid |
Compiled 354 to 265 computations (25.1% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(*.f64 (/.f64 -1/2 x) (neg.f64 x)) |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (*.f64 x 1/6)) |
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x))) |
(/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 x) -6) (*.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:
| 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 153 to 90 computations (41.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 8.014449104125506e-7 | 0.16579013141996987 |
| 16.0ms | -0.1020883750901842 | -8.403757712368372e-5 |
| 45.0ms | 272× | body | 256 | valid |
Compiled 336 to 247 computations (26.5% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(*.f64 (/.f64 -1/2 x) (neg.f64 x)) |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (*.f64 x 1/6)) |
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x))) |
(/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 x) -6) (*.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:
| 21.0ms | x |
| 10.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 3 | x |
| 0.6b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 135 to 81 computations (40% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 8.014449104125506e-7 | 0.16579013141996987 |
| 17.0ms | -0.1020883750901842 | -8.403757712368372e-5 |
| 33.0ms | 272× | body | 256 | valid |
Compiled 336 to 247 computations (26.5% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(*.f64 (/.f64 -1/2 x) (neg.f64 x)) |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (*.f64 x 1/6)) |
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x))) |
(/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 x) -6) (*.f64 2 (/.f64 1 x)))) |
| Outputs |
|---|
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
1 calls:
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.7b | 1 | x |
Compiled 118 to 71 computations (39.8% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(*.f64 (/.f64 -1/2 x) (neg.f64 x)) |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (*.f64 x 1/6)) |
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x))) |
(/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 6 (*.f64 x x)) |
1 calls:
| 20.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.7b | 3 | x |
Compiled 91 to 51 computations (44% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 0.16579013141996987 | 553060675297.8357 |
| 22.0ms | -7536.098248982267 | -0.1020883750901842 |
| 43.0ms | 304× | body | 256 | valid |
Compiled 317 to 237 computations (25.2% saved)
Total -48.0b remaining (-344.9%)
Threshold costs -48.0b (-344.9%)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(*.f64 (/.f64 -1/2 x) (neg.f64 x)) |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
| Outputs |
|---|
(/.f64 6 (*.f64 x x)) |
1/2 |
(/.f64 6 (*.f64 x x)) |
1 calls:
| 12.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.9b | 3 | x |
Compiled 22 to 15 computations (31.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 0.16579013141996987 | 553060675297.8357 |
| 19.0ms | -7536.098248982267 | -0.1020883750901842 |
| 36.0ms | 304× | body | 256 | valid |
Compiled 203 to 161 computations (20.7% saved)
| 1× | egg-herbie |
| 30× | *-commutative |
| 20× | +-commutative |
| 14× | sub-neg |
| 14× | neg-mul-1 |
| 14× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 655 |
| 1 | 103 | 655 |
| 2 | 118 | 655 |
| 3 | 130 | 655 |
| 4 | 138 | 655 |
| 5 | 142 | 655 |
| 6 | 143 | 655 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(if (<=.f64 x -5072854620270127/1152921504606846976) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(if (<=.f64 x -5072854620270127/1152921504606846976) (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(if (<=.f64 x -5072854620270127/1152921504606846976) (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))) |
(if (<=.f64 x -5072854620270127/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))) |
(if (<=.f64 x -5072854620270127/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -5072854620270127/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 3170534137668829/576460752303423488) (+.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 -13/4) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 13/4) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 6 (*.f64 x x)))) |
(if (<=.f64 x -7/2) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 7/2) 1/2 (/.f64 6 (*.f64 x x)))) |
1/2 |
| Outputs |
|---|
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (neg.f64 x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (/.f64 (sin.f64 x) x))) (neg.f64 x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 (sin.f64 x)) x)) (neg.f64 x)) |
(if (<=.f64 x -5072854620270127/1152921504606846976) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(if (<=.f64 x -5072854620270127/1152921504606846976) (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(if (or (<=.f64 x -5072854620270127/1152921504606846976) (not (<=.f64 x 3170534137668829/576460752303423488))) (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(if (<=.f64 x -5072854620270127/1152921504606846976) (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))) |
(if (<=.f64 x -5072854620270127/1152921504606846976) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x)) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(if (<=.f64 x -5072854620270127/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))) |
(if (<=.f64 x -5072854620270127/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(if (<=.f64 x -5072854620270127/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (or (<=.f64 x -5072854620270127/1152921504606846976) (not (<=.f64 x 3170534137668829/576460752303423488))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(if (<=.f64 x -5072854620270127/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(if (or (<=.f64 x -5072854620270127/1152921504606846976) (not (<=.f64 x 3170534137668829/576460752303423488))) (/.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 -13/4) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 13/4) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 6 (*.f64 x x)))) |
(if (or (<=.f64 x -13/4) (not (<=.f64 x 13/4))) (/.f64 6 (*.f64 x x)) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(if (<=.f64 x -7/2) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 7/2) 1/2 (/.f64 6 (*.f64 x x)))) |
(if (or (<=.f64 x -7/2) (not (<=.f64 x 7/2))) (/.f64 6 (*.f64 x x)) 1/2) |
1/2 |
Compiled 249 to 177 computations (28.9% 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 239 to 155 computations (35.1% saved)
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