Time bar (total: 12.9s)
| 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)
| 1.7s | 2037× | body | 2048 | valid |
| 410.0ms | 3351× | body | 256 | valid |
| 403.0ms | 1603× | body | 512 | valid |
| 384.0ms | 1165× | body | 1024 | valid |
| 56.0ms | 100× | 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 |
|---|---|---|
| ▶ | 47.01% | (/.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 |
|---|---|---|
| ✓ | 2.82% | (-.f64 1 (cos.f64 x)) |
| ✓ | 21.1% | (/.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)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 178 | 20 | 198 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 178 | 21 | 199 |
| Status | Error | Program |
|---|---|---|
| ▶ | 45.5% | (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
| 46.39% | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) | |
| 46.49% | (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) | |
| ▶ | 22.28% | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
| 47.11% | (/.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (*.f64 x x)) | |
| 47.01% | (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) | |
| ✓ | 47.01% | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 21.89% | (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) | |
| 22.89% | (/.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))) | |
| ▶ | 21.81% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 47.1% | (/.f64 (log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) | |
| 47.22% | (/.f64 (expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) (*.f64 x x)) | |
| 47.04% | (/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) | |
| 46.15% | (-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) | |
| 52.36% | (+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) | |
| 53% | (+.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))))) | |
| ▶ | 52.81% | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| ▶ | 46.07% | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| 45.41% | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) | |
| 47.03% | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) | |
| 51.12% | 1/2 |
Compiled 535 to 390 computations (27.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.28% | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| ✓ | 21.09% | (/.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 |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 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(sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) 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(sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))))) (#(struct:change #<rule 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x 1/2)) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))))) |
| 1× | egg-herbie |
| 1428× | associate-/r* |
| 1248× | associate-/l/ |
| 824× | distribute-rgt-in |
| 818× | distribute-lft-in |
| 728× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 284 | 5218 |
| 1 | 760 | 4964 |
| 2 | 3094 | 4964 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) |
(*.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 x -2))) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (/.f64 1 (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 4)) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))) (sin.f64 x)) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) x) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (pow.f64 (cbrt.f64 x) 4)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) 1)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 x x)) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6)) |
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2)) |
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) 1)) |
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 x (neg.f64 x))))) |
(neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x x))) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) |
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x))))) |
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(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
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(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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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))) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)) |
(fabs.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))) |
(fabs.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 3) (pow.f64 x 6))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3)) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1)) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.63% | (*.f64 -1/24 (*.f64 x x)) |
Compiled 19 to 10 computations (47.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 -1/24 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 -1/24 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 -1/24 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1080× | add-sqr-sqrt |
| 1058× | *-un-lft-identity |
| 1006× | pow1 |
| 990× | add-cube-cbrt |
| 982× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 122 | 13 |
| 2 | 1411 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/24 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/576 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1470× | distribute-rgt-in |
| 1446× | distribute-lft-in |
| 1164× | log-prod |
| 760× | associate-*r* |
| 696× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 299 |
| 1 | 93 | 299 |
| 2 | 348 | 299 |
| 3 | 1913 | 299 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2) |
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3) |
(sqrt.f64 (*.f64 1/576 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(sqrt.f64 (*.f64 1/576 (pow.f64 x 4))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 2.82% | (-.f64 1 (cos.f64 x)) | |
| ✓ | 20.95% | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
Compiled 21 to 13 computations (38.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | inf | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1984× | add-sqr-sqrt |
| 1956× | *-un-lft-identity |
| 1826× | add-cube-cbrt |
| 1806× | add-cbrt-cube |
| 196× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 207 | 23 |
| 2 | 2475 | 23 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))))))) |
| 1× | egg-herbie |
| 1018× | associate-*r/ |
| 886× | associate-*r* |
| 822× | associate-*l/ |
| 790× | associate-*l* |
| 682× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 847 |
| 1 | 192 | 843 |
| 2 | 604 | 825 |
| 3 | 3379 | 825 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) 1/2)) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 -1/24 (*.f64 x x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (pow.f64 x -2) (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))) (sin.f64 x)) |
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x) 1))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (pow.f64 x -2) (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))) (sin.f64 x)) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x) 1))) |
(pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.09% | (sqrt.f64 (-.f64 1 (cos.f64 x))) |
| ✓ | 0.2% | (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
| ✓ | 0.28% | (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
| 2.82% | (-.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 | (sqrt.f64 (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 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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x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (neg.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 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(#(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)))) |
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(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) (/.f64 x 1)) |
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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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(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)))) |
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(*.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) |
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(*.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)))) |
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(*.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))) |
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(*.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))))) |
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(*.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) |
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(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 1 1/2)) |
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(/.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)))))) |
(+.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))) (fma.f64 -1/48 (/.f64 (*.f64 x x) (sqrt.f64 1/2)) (*.f64 -1/2 (/.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)))) (/.f64 (sqrt.f64 1/2) (pow.f64 x 6))))))) |
(+.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))) (fma.f64 -1/48 (/.f64 (*.f64 x x) (sqrt.f64 1/2)) (/.f64 (*.f64 -1/2 (+.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))))) (/.f64 (sqrt.f64 1/2) (pow.f64 x 6)))))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 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)))) |
(fma.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))))) |
(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 5))) (fma.f64 (sqrt.f64 1/2) x (*.f64 -1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2))))) |
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (pow.f64 x 5)) (fma.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)))))) |
(fma.f64 -1/2 (/.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)))) (/.f64 (sqrt.f64 1/2) (pow.f64 x 7))) (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 5))) (fma.f64 (sqrt.f64 1/2) x (*.f64 -1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2)))))) |
(fma.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)))) (sqrt.f64 1/2)) (pow.f64 x 7)) (fma.f64 1/2 (*.f64 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (pow.f64 x 5)) (fma.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 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (/.f64 1 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 -1 x) (/.f64 -1 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 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 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(*.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 (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) |
(*.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 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.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 (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) |
(*.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 (/.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 (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 (-.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 (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 (/.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 (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 1 (cos.f64 x)) (*.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 (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) |
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)) |
(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 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(*.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 (*.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 (/.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 (pow.f64 (/.f64 1 x) 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) |
(*.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))) |
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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) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
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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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x))) |
(/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (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))))) |
(/.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) |
(/.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)) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (/.f64 (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))) |
(/.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))) |
(*.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 x))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.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))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (neg.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 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 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (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 (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)))))) |
(/.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 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 (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 (neg.f64 x))) (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.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 (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) |
(/.f64 (*.f64 -1 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.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) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (/.f64 1 x) x)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (sin.f64 x) (sin.f64 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)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (/.f64 1 (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (/.f64 1 (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (/.f64 (/.f64 1 x) x)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (/.f64 1 (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (/.f64 1 (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 1 x) x)) (+.f64 (neg.f64 (cos.f64 x)) -1)) |
(/.f64 (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 -1 (neg.f64 (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (-.f64 -1 (cos.f64 x))) (/.f64 1 (*.f64 x x))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (/.f64 1 x) x)) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 -1 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (/.f64 1 (*.f64 x x)))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (-.f64 -1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (/.f64 1 (*.f64 x x)))) |
(/.f64 (*.f64 1 (pow.f64 (/.f64 1 x) 2)) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 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 (*.f64 x x)) (*.f64 (sin.f64 x) (sin.f64 x))) (+.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 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (/.f64 1 (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (/.f64 1 (*.f64 x 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 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (/.f64 1 (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (/.f64 1 (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (/.f64 1 x) 2)) (+.f64 (neg.f64 (cos.f64 x)) -1)) |
(/.f64 (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 -1 (neg.f64 (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (-.f64 -1 (cos.f64 x))) (/.f64 1 (*.f64 x x))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (/.f64 1 x) 2)) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 -1 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (/.f64 1 (*.f64 x x)))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (-.f64 -1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (/.f64 1 (*.f64 x x)))) |
(/.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 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)))) |
(*.f64 (/.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 1 (cos.f64 x))) (*.f64 x 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 (fabs.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x 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 (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))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) x) |
(/.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) |
(/.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 (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))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (cbrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x))) |
(/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) 1) (neg.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 x (neg.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 1 (*.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 (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 (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 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (/.f64 (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))) |
(/.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 (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 (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))) |
(*.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 x))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (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 1 (cos.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.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)) (pow.f64 (cbrt.f64 x) 4)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (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))) |
(/.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)))))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (/.f64 x (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))))))) |
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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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(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
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(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
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(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
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(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) -1) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (*.f64 (sqrt.f64 x) (neg.f64 (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)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(neg.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(/.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) |
(neg.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 x)))) |
(/.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) |
(neg.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 x)) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.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) |
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.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) |
(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)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(*.f64 1 (/.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 1 x)) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 1) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(*.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 1 (cos.f64 x))) 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 (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 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 (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 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 -1 x)) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
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(*.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 (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 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) x) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4)) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) x) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) 1)) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)) |
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(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (sqrt.f64 x)) |
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(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
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(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
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(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
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(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.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))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.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 (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 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)) |
(*.f64 (/.f64 1 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
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(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 1) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1/2) |
(sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 2) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 3) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 3) 1/3) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 x))) |
(/.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)) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 -1 x))) |
(/.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) |
(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))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 3)) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) 1) |
(sqrt.f64 (-.f64 1 (cos.f64 x))) |
(*.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(sqrt.f64 (-.f64 1 (cos.f64 x))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) |
(sqrt.f64 (-.f64 1 (cos.f64 x))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 1 1/2)) |
(sqrt.f64 (-.f64 1 (cos.f64 x))) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4)) |
(sqrt.f64 (-.f64 1 (cos.f64 x))) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (neg.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4)))) |
(sqrt.f64 (-.f64 1 (cos.f64 x))) |
(*.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))) (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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.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))))) |
(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))) |
(sqrt.f64 (-.f64 1 (cos.f64 x))) |
(*.f64 (neg.f64 (cbrt.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))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(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 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.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 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.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 (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 (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 (*.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 (neg.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4)) |
(sqrt.f64 (-.f64 1 (cos.f64 x))) |
(*.f64 (neg.f64 (neg.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))) (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 |
|---|---|---|
| ✓ | 0.3% | (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
| ✓ | 0.44% | (*.f64 (sin.f64 x) (sin.f64 x)) |
| ✓ | 0.9% | (+.f64 1 (cos.f64 x)) |
| ✓ | 21.09% | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
Compiled 43 to 15 computations (65.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
| 1.0ms | x | @ | inf | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1638× | associate-/l/ |
| 1624× | associate-/r/ |
| 848× | distribute-lft-in |
| 280× | add-sqr-sqrt |
| 272× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 88 |
| 1 | 266 | 56 |
| 2 | 4106 | 56 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (sin.f64 x) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 1 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 1788× | associate-/l* |
| 1436× | associate-/r* |
| 964× | *-commutative |
| 822× | associate-*l/ |
| 766× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 713 | 10927 |
| 1 | 2210 | 10369 |
| 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 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(-.f64 (/.f64 1/2 (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x)))))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 x (+.f64 x (*.f64 x (cos.f64 x)))))) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
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(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (-.f64 1 (cos.f64 x)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(pow.f64 (+.f64 1 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) 1/3) |
(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 (cos.f64 x))) |
(exp.f64 (*.f64 (log1p.f64 (cos.f64 x)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 x)))) |
(fma.f64 1 (cos.f64 x) 1) |
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) 1) |
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))) |
(+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (*.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))) |
(+.f64 1 (*.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x)))) |
(+.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))))) |
(+.f64 1/2 (*.f64 1 (*.f64 -1/2 (cos.f64 (+.f64 x x))))) |
(+.f64 1/2 (*.f64 1 (neg.f64 (*.f64 1/2 (cos.f64 (+.f64 x x)))))) |
(+.f64 (*.f64 -1/2 (cos.f64 (+.f64 x x))) 1/2) |
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) 1) |
(+.f64 (neg.f64 (*.f64 1/2 (cos.f64 (+.f64 x x)))) 1/2) |
(+.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) 1) |
(-.f64 1 (pow.f64 (cos.f64 x) 2)) |
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1) |
(-.f64 (/.f64 (cos.f64 0) 2) (/.f64 (cos.f64 (+.f64 x x)) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) 1) |
(/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2))) |
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2) |
(/.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) -2) |
(/.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x))))) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x)))) (*.f64 2 (+.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))) |
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 3)) (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x)))) (*.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))))) |
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 3)) (*.f64 1 (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x)))) (*.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x)))))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 1 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 0) 3) (pow.f64 (cos.f64 (+.f64 x x)) 3)) (*.f64 2 (+.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x))) (*.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))))) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (pow.f64 (sin.f64 x) 2) 1) |
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 3) |
(pow.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) 1/3) |
(sqrt.f64 (pow.f64 (sin.f64 x) 4)) |
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2)))) |
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) |
(exp.f64 (*.f64 2 (log.f64 (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 2)) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2))) |
(+.f64 1 (neg.f64 (cos.f64 x))) |
(+.f64 1 (*.f64 -1 (cos.f64 x))) |
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))) |
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))) |
(+.f64 1 (*.f64 1 (neg.f64 (cos.f64 x)))) |
(+.f64 1 (*.f64 1 (*.f64 -1 (cos.f64 x)))) |
(+.f64 1 (*.f64 1 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))) |
(+.f64 1 (*.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))) |
(+.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))) |
(+.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (neg.f64 (cos.f64 x)) 1) |
(+.f64 (*.f64 -1 (cos.f64 x)) 1) |
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))) 1) |
(+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))) 1) |
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(+.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 1/2) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 -1/2 (cos.f64 (+.f64 x x))))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 1/2) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (neg.f64 (*.f64 1/2 (cos.f64 (+.f64 x x)))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (neg.f64 (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 -1 (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) 1)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) 1) |
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 x)))) |
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(*.f64 (sin.f64 x) (/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (sin.f64 x)) |
(*.f64 (/.f64 1 (-.f64 -1 (cos.f64 x))) (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (cos.f64 x) 2) 1)) (-.f64 (cos.f64 x) 1)) |
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sin.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 -1 (cos.f64 x)))) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3))) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(exp.f64 (log.f64 (-.f64 1 (cos.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 1 (cos.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 2 (*.f64 -1/2 (*.f64 x x))) |
(+.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))) |
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(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/720)))) |
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(pow.f64 (sin.f64 x) 2) |
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(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
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(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
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(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))) |
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(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
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(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
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(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
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(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
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(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
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(*.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)) |
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(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
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(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
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(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
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(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 1 (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))) |
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(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
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(/.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (/.f64 -1 (*.f64 x (-.f64 -1 (cos.f64 x))))) |
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(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (pow.f64 x 4))) (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (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))))) |
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(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
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(*.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 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
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(pow.f64 (sin.f64 x) 2) |
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(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 3) |
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(pow.f64 (sin.f64 x) 2) |
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(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2)))) |
(pow.f64 (sin.f64 x) 2) |
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(-.f64 1 (cos.f64 x)) |
(-.f64 (exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) 1) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 x)))) |
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x))))) |
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(*.f64 1 (-.f64 1 (cos.f64 x))) |
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(*.f64 (-.f64 1 (cos.f64 x)) 1) |
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(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x))))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
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(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
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(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))) |
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(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))) |
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(*.f64 (/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (sin.f64 x)) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
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(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
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(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
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(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
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(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 x)))) |
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(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (cos.f64 x) 2) 1)) (-.f64 (cos.f64 x) 1)) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (cos.f64 x) 2) -1))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 -1 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (sin.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (sin.f64 x))) (/.f64 1 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 x))) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sin.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1) |
(-.f64 1 (cos.f64 x)) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 -1 (cos.f64 x)))) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x))) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(-.f64 1 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(-.f64 1 (cos.f64 x)) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3))) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(exp.f64 (log.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(exp.f64 (*.f64 (log.f64 (-.f64 1 (cos.f64 x))) 1)) |
(-.f64 1 (cos.f64 x)) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
Compiled 26301 to 15334 computations (41.7% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1281 | 8 | 1289 |
| Fresh | 12 | 3 | 15 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 1294 | 16 | 1310 |
| Status | Error | Program |
|---|---|---|
| ✓ | 45.5% | (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
| ▶ | 45.4% | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
| ✓ | 47.01% | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| ✓ | 21.81% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 46.99% | (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) | |
| ▶ | 47.01% | (/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x))))) |
| 52.36% | (+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) | |
| ✓ | 52.81% | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| ✓ | 46.07% | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| ▶ | 46.08% | (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) |
| 45.41% | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) | |
| ▶ | 22.14% | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
| 22.6% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))) (sin.f64 x)) | |
| 22.14% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) | |
| ▶ | 0.3% | (*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
| 51.12% | 1/2 |
Compiled 292 to 205 computations (29.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2% | (/.f64 (sin.f64 x) x) |
| ✓ | 0.27% | (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) |
| ✓ | 0.28% | (*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
Compiled 42 to 23 computations (45.2% 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 (sin.f64 x) x) |
| 0.0ms | x | @ | 0 | (/.f64 (sin.f64 x) x) |
| 0.0ms | x | @ | 0 | (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) |
| 1× | batch-egg-rewrite |
| 1616× | associate-/r* |
| 1468× | associate-/l* |
| 480× | associate-/l/ |
| 348× | associate-/r/ |
| 264× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 71 |
| 1 | 267 | 71 |
| 2 | 3390 | 71 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) |
(/.f64 (sin.f64 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (/.f64 1 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 x (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (/.f64 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x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.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 pow.f64 (/.f64 x (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1))))) (#(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 (pow.f64 (sin.f64 x) 3) (/.f64 (pow.f64 x -2) x)))))) (#(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))))))) |
| 1× | egg-herbie |
| 1406× | associate-/r* |
| 1344× | associate-/l/ |
| 1168× | associate-/r/ |
| 1034× | times-frac |
| 910× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 815 | 16033 |
| 1 | 2259 | 15677 |
| 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 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))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) 1) |
(/.f64 1 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(/.f64 1 (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (/.f64 1 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 x) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 1 x))) |
(/.f64 (sin.f64 x) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) x) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1) |
(/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 x (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (/.f64 x (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sqrt.f64 x)))) |
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 x (sin.f64 x)) (*.f64 (pow.f64 x -1/2) (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 x (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x)))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 x (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sin.f64 x)))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (sqrt.f64 (sin.f64 x))))) |
(/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (/.f64 x (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 x (sin.f64 x)) (*.f64 (/.f64 1 (cbrt.f64 x)) (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2))) |
(/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 (/.f64 x (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))) |
(/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 (/.f64 x (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (/.f64 x (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) |
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 x (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x)))) |
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 (*.f64 x x) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sin.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (cbrt.f64 (sin.f64 x))))) |
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 x (/.f64 1 x))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (*.f64 x x) 1)) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) -1)) |
(/.f64 -1 (/.f64 (neg.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) |
(/.f64 -1 (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(/.f64 -1 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (neg.f64 (sin.f64 x))))) |
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 -1 x))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (/.f64 1 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 x (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))) |
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (*.f64 (/.f64 x (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2)) (/.f64 (/.f64 x (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2)) (/.f64 (/.f64 x (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2)))) |
(/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) (/.f64 (/.f64 x (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
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(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x)) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1)) |
(neg.f64 (*.f64 (sin.f64 x) (/.f64 -1 x))) |
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (neg.f64 x)))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1)) |
(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 (pow.f64 (sin.f64 x) 3) (/.f64 (pow.f64 x -2) x))) |
(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))) |
| 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 (*.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 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (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 (*.f64 1/2 x)) x) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (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 (*.f64 1/2 x)) x) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (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 (*.f64 1/2 x)) x) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (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 (*.f64 1/2 x)) x) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (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 (*.f64 1/2 x)) x) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (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 (*.f64 1/2 x)) x) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (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 (*.f64 1/2 x)) x) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) x)) |
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 x x))) |
(+.f64 1 (*.f64 x (*.f64 x -1/6))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/120))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/120)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) 1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 1 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 1 (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 1 (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (/.f64 1 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (sin.f64 x) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 1 x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (sin.f64 x) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) x) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 x (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (/.f64 x (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 x (sqrt.f64 (*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (sin.f64 x))))) (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) x) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x))) (sqrt.f64 (tan.f64 (*.f64 1/2 x))))) |
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sqrt.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -1/2) (/.f64 x (tan.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (*.f64 (/.f64 (pow.f64 x -1/2) x) (tan.f64 (*.f64 1/2 x)))) |
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 x (sin.f64 x)) (*.f64 (pow.f64 x -1/2) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (pow.f64 x -1/2) (/.f64 x (sin.f64 x))) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -1/2))) |
(*.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -1/2)) (*.f64 (/.f64 (pow.f64 x -1/2) x) (sin.f64 x))) |
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 x (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (sin.f64 x))) (/.f64 x (sqrt.f64 (*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (sin.f64 x))))) |
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x))) 2) x) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (sqrt.f64 (tan.f64 (*.f64 1/2 x))))) |
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (*.f64 x x))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x)))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (sqrt.f64 (tan.f64 (*.f64 1/2 x))))) |
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (*.f64 x x))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 x (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (/.f64 x (sqrt.f64 (*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (sin.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))) x) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x))))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sin.f64 x)))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (sqrt.f64 (tan.f64 (*.f64 1/2 x))))) |
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (*.f64 x x))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) (*.f64 (/.f64 1 x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (sqrt.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) (*.f64 (/.f64 1 x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x))) |
(/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) |
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(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 1)) |
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1) |
(/.f64 (sin.f64 x) x) |
(*.f64 1 (/.f64 (sin.f64 x) x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 1 x) (sin.f64 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (sin.f64 x) (/.f64 1 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sin.f64 x) x) 1) |
(/.f64 (sin.f64 x) x) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (pow.f64 x -1/2) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 1 x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(/.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) (*.f64 (/.f64 1 x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -1/2)) (pow.f64 x -1/2)) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2))) |
(*.f64 (sin.f64 x) (pow.f64 x -1)) |
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 1 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (pow.f64 x -1/2)) |
(*.f64 (pow.f64 x -1/2) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) -1) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 -1 x) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 1 x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 1 x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) 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 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.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) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 1 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) 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) |
(pow.f64 (/.f64 x (sin.f64 x)) -1) |
(/.f64 (sin.f64 x) x) |
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x))) |
(/.f64 (sin.f64 x) x) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x)) |
(/.f64 (sin.f64 x) x) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1)) |
(/.f64 (sin.f64 x) x) |
(neg.f64 (*.f64 (sin.f64 x) (/.f64 -1 x))) |
(/.f64 (sin.f64 x) x) |
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (neg.f64 x)))) |
(/.f64 (sin.f64 x) x) |
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1)) |
(/.f64 (sin.f64 x) x) |
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2)) |
(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 (pow.f64 (sin.f64 x) 3) (/.f64 (pow.f64 x -2) x))) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (sin.f64 x) 3))) |
(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) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.15% | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
| ✓ | 0.21% | (/.f64 (-.f64 1 (cos.f64 x)) x) |
| 2.82% | (-.f64 1 (cos.f64 x)) |
Compiled 23 to 12 computations (47.8% 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) x) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
| 1× | batch-egg-rewrite |
| 980× | *-commutative |
| 752× | associate-/l/ |
| 716× | associate-/r/ |
| 686× | unswap-sqr |
| 610× | swap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 40 |
| 1 | 193 | 40 |
| 2 | 2715 | 40 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) 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 (pow.f64 (cbrt.f64 (-.f64 1 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3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2) (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 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)) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1284× | associate-/r/ |
| 1216× | distribute-lft-neg-out |
| 982× | distribute-rgt-neg-out |
| 564× | associate-*l* |
| 538× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 382 | 5846 |
| 1 | 1028 | 4832 |
| 2 | 4423 | 4832 |
| 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))))) |
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 1 x) (/.f64 (cos.f64 x) (neg.f64 x))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1)) |
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x)) |
(+.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 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 1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (/.f64 -1 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) 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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 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 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.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))) (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 x)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (neg.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 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)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (neg.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(*.f64 (/.f64 -1 x) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (cbrt.f64 (-.f64 1 (cos.f64 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 (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 (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 1 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.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 (sin.f64 x) (sin.f64 x)) (/.f64 1 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (+.f64 1 (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 (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 (/.f64 1 x) (-.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 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))) |
(*.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 (cos.f64 x) x))) (-.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 (cos.f64 x) x)))) |
(*.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 3/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/6)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1/2) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1/2)) |
(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 (cos.f64 x) -1) x)) |
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 1)) |
(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 (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))) |
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)))) |
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1) |
(-.f64 (/.f64 (/.f64 1 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 (/.f64 1 x) (/.f64 1 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) 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 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x)) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 1 (*.f64 x (sqrt.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 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)) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 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 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) |
(*.f64 (/.f64 1 (*.f64 x (sqrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.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)) x)) |
(*.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) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (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) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x 1)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (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 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (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)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/6)) |
(*.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2) (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2)) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3) |
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x))) |
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 1)) |
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -1 x))) |
(neg.f64 (*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))) |
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) 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 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)))) |
| 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))))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 (*.f64 -1/24 x) x))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (-.f64 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 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1)) |
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x))) |
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x))) |
(+.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x)) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x)) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (/.f64 -1 x))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 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))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.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)) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.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)) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.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 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.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))) (/.f64 1 x))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 x)) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (neg.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) |
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(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2% | (/.f64 (/.f64 1 x) x) |
| 2.82% | (-.f64 1 (cos.f64 x)) | |
| ✓ | 20.95% | (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) |
Compiled 27 to 16 computations (40.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 1 x) x) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 1 x) x) |
| 1× | batch-egg-rewrite |
| 1134× | associate-/r* |
| 954× | *-commutative |
| 948× | associate-/l* |
| 946× | unswap-sqr |
| 544× | swap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 42 |
| 1 | 213 | 30 |
| 2 | 2840 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 1 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 1 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 1 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (neg.f64 (*.f64 (/.f64 1 x) (cos.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) (-.f64 1 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (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 (pow.f64 x -1/2) (/.f64 (pow.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 (cbrt.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (*.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) x) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) x) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)) (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1)) (*.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (/.f64 -1 x))) (*.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (/.f64 -1 x)))) (*.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (neg.f64 (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 x -1/2)) (*.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 (sqrt.f64 x) -1)) (*.f64 (pow.f64 x -1/2) (pow.f64 (sqrt.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))) (*.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (/.f64 1 (cbrt.f64 x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (cbrt.f64 (pow.f64 x -2)))) (*.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (cbrt.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 -1 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 x -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2))))))) |
| 1× | egg-herbie |
| 890× | associate-/l* |
| 702× | associate-*r* |
| 654× | associate-/r* |
| 634× | associate-*l* |
| 584× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 474 | 7441 |
| 1 | 1422 | 6259 |
| 2 | 6736 | 6259 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 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) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) |
(+.f64 (pow.f64 x -2) (*.f64 1 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(+.f64 (pow.f64 x -2) (*.f64 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 1 x) (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) 1)) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (*.f64 (/.f64 1 x) (cos.f64 x))) (/.f64 1 x))) |
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) (-.f64 1 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 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 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 1 x) (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 (/.f64 1 x) (/.f64 (+.f64 x (*.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (pow.f64 x -2) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1) |
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2))) |
(/.f64 (pow.f64 x -1/2) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)))) |
(/.f64 (pow.f64 x -1/2) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x -2)))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 x)))) |
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(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3) |
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(*.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 (sqrt.f64 x) -1)) (*.f64 (pow.f64 x -1/2) (pow.f64 (sqrt.f64 x) -1))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))) (*.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (/.f64 1 (cbrt.f64 x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (cbrt.f64 (pow.f64 x -2)))) (*.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (cbrt.f64 (pow.f64 x -2))))) |
(pow.f64 x -2) |
(pow.f64 (/.f64 1 x) 2) |
(pow.f64 (pow.f64 x -2) 1) |
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3) |
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3) |
(pow.f64 (*.f64 x x) -1) |
(neg.f64 (neg.f64 (pow.f64 x -2))) |
(neg.f64 (/.f64 -1 (*.f64 x x))) |
(neg.f64 (/.f64 (/.f64 -1 x) x)) |
(neg.f64 (*.f64 (/.f64 -1 (*.f64 x x)) 1)) |
(neg.f64 (*.f64 1 (/.f64 -1 (*.f64 x x)))) |
(sqrt.f64 (pow.f64 (pow.f64 x -2) 2)) |
(log.f64 (exp.f64 (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2)))) |
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 x -2))) |
(exp.f64 (*.f64 (log.f64 x) -2)) |
(log1p.f64 (expm1.f64 (pow.f64 x -2))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(+.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 (pow.f64 x -2) (*.f64 1 (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 (pow.f64 x -2) (*.f64 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 1 x) (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (*.f64 (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 (pow.f64 x -2) (*.f64 (neg.f64 (*.f64 (/.f64 1 x) (cos.f64 x))) (/.f64 1 x))) |
(/.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 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) (-.f64 1 (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 1 (*.f64 (/.f64 x (-.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 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 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 1 (*.f64 x (*.f64 x (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x) (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 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)) (pow.f64 x -2)) |
(/.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)) |
(/.f64 (/.f64 1 x) (/.f64 (+.f64 x (*.f64 x (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 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 (/.f64 1 x) (/.f64 (+.f64 x (*.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 1 (*.f64 x (*.f64 x (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x) (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x)) |
(/.f64 (pow.f64 x -2) (/.f64 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 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 (cos.f64 x))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (pow.f64 x -1/2) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (pow.f64 x -1/2) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -1/2) (*.f64 x (sqrt.f64 x))) (-.f64 1 (cos.f64 x))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 (cbrt.f64 (pow.f64 x -2)) x)) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 (cbrt.f64 (pow.f64 x -2)) x)) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (cbrt.f64 x))))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 (cbrt.f64 (pow.f64 x -2)) x)) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 (cbrt.f64 (pow.f64 x -2)) x)) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x 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 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (+.f64 x (*.f64 x (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 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (neg.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 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))) |
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 1 (*.f64 x (*.f64 x (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x) (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) |
(*.f64 (/.f64 1 (*.f64 x (*.f64 x (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x) (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 1 (*.f64 x (*.f64 x (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x) (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) 1)) |
(*.f64 (/.f64 1 (*.f64 x (*.f64 x (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x) (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 x (*.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (/.f64 1 x))) |
(*.f64 (/.f64 1 (*.f64 x (*.f64 x (+.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 (/.f64 -1 x) (/.f64 -1 x)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2)))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -1/2) x) (pow.f64 x -1/2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2)))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 -1 (*.f64 x x)) -1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) x) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2)))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)) (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1)) (*.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 x) -1))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) -2)) |
(*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (/.f64 -1 x))) (*.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (/.f64 -1 x)))) (*.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (/.f64 -1 x)))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (neg.f64 (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 x -1/2)) (*.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 x -1/2))) |
(*.f64 (pow.f64 x -1/2) (*.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 x))))) |
(*.f64 (/.f64 1 x) (pow.f64 (sqrt.f64 x) -2)) |
(*.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 (sqrt.f64 x) -1)) (*.f64 (pow.f64 x -1/2) (pow.f64 (sqrt.f64 x) -1))) |
(*.f64 (pow.f64 x -1/2) (*.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 x))))) |
(*.f64 (/.f64 1 x) (pow.f64 (sqrt.f64 x) -2)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -2)))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))) (*.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (*.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 -1 (cbrt.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (pow.f64 (cbrt.f64 x) -2)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (/.f64 1 (cbrt.f64 x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (*.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 -1 (cbrt.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (pow.f64 (cbrt.f64 x) -2)) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (cbrt.f64 (pow.f64 x -2)))) (*.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (cbrt.f64 (pow.f64 x -2))))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 x -2) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 (/.f64 1 x) 2) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (pow.f64 x -2) 1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (*.f64 x x) -1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(neg.f64 (neg.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(neg.f64 (/.f64 -1 (*.f64 x x))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(neg.f64 (/.f64 (/.f64 -1 x) x)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(neg.f64 (*.f64 (/.f64 -1 (*.f64 x x)) 1)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(neg.f64 (*.f64 1 (/.f64 -1 (*.f64 x x)))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(sqrt.f64 (pow.f64 (pow.f64 x -2) 2)) |
(sqrt.f64 (pow.f64 x -4)) |
(log.f64 (exp.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2)))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(expm1.f64 (log1p.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(exp.f64 (*.f64 (log.f64 x) -2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(log1p.f64 (expm1.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.18% | (/.f64 1 (-.f64 1 (cos.f64 x))) |
| ✓ | 1.1% | (/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x))))) |
| 2.82% | (-.f64 1 (cos.f64 x)) | |
| ✓ | 16.35% | (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
Compiled 40 to 22 computations (45% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
| 0.0ms | x | @ | inf | (/.f64 1 (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (-.f64 1 (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1572× | associate-*r/ |
| 1180× | associate-/r* |
| 1044× | *-commutative |
| 994× | associate-*l/ |
| 626× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 69 |
| 1 | 237 | 63 |
| 2 | 3122 | 63 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 -1 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (neg.f64 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 -1 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (*.f64 (pow.f64 x -2) 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3)))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3))) (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.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 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))))) |
| 1× | egg-herbie |
| 1334× | associate-/l* |
| 952× | associate-/l/ |
| 670× | associate-*r* |
| 662× | associate-/r* |
| 644× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 657 | 10528 |
| 1 | 1845 | 10246 |
| 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 2 (pow.f64 x 2)) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (*.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) 1) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 x (/.f64 -1 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 x x) (neg.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (/.f64 -1 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))) |
(/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) |
(/.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 1) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (/.f64 1 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)) |
(/.f64 (sqrt.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 1 (*.f64 (sqrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 -1 (neg.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))) |
(/.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (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) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(/.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) (/.f64 -1 (neg.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(/.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 -1 (/.f64 (pow.f64 x -2) (/.f64 1 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (-.f64 1 (cos.f64 x))) -1) |
(/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)) (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)))) |
(/.f64 (sqrt.f64 (/.f64 (neg.f64 (*.f64 x x)) (-.f64 1 (cos.f64 x)))) (/.f64 -1 (sqrt.f64 (/.f64 (neg.f64 (*.f64 x x)) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 (*.f64 x x)) (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 (neg.f64 (*.f64 x x)) (-.f64 1 (cos.f64 x))))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 x 4))))) |
(/.f64 (*.f64 x (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(/.f64 (*.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (-.f64 1 (cos.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 (*.f64 (*.f64 x x) -1) (+.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 x (/.f64 1 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 x (/.f64 1 x)) (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)) |
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))) |
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (/.f64 1 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (pow.f64 x -2) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (neg.f64 x) (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (neg.f64 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(/.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (pow.f64 x -2) -1)) |
(/.f64 (neg.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)) (/.f64 -1 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 x 1) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 1 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 x) 2) (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 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
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(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) -1) (/.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) -1))) |
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 1 (neg.f64 (*.f64 x x))) (+.f64 -1 (cos.f64 x))) |
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(/.f64 (*.f64 x (*.f64 x -1)) (+.f64 -1 (cos.f64 x))) |
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(/.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sqrt.f64 (pow.f64 x -2))) (sqrt.f64 (pow.f64 x -2))) |
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(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) -1) 1) (+.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) -1) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
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(/.f64 (/.f64 (*.f64 (*.f64 x x) -1) -1) (-.f64 1 (cos.f64 x))) |
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(/.f64 (/.f64 (/.f64 x (/.f64 1 x)) 1) (-.f64 1 (cos.f64 x))) |
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(/.f64 (/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
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(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
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(/.f64 (/.f64 (neg.f64 (*.f64 x x)) 1) (+.f64 -1 (cos.f64 x))) |
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(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2) (pow.f64 x 4))) |
(log.f64 (exp.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 3) (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) |
(exp.f64 (log.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) |
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) |
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(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
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(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 (pow.f64 x -2) -1)) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) -1) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
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(*.f64 (*.f64 (pow.f64 x -2) -1) (+.f64 -1 (cos.f64 x))) |
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(*.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 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) -1)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) 1) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) -1)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (*.f64 x -1)) (+.f64 -1 (cos.f64 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 (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) -1) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (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) |
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x 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)))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) 1) |
(*.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 -1 (/.f64 1 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (+.f64 -1 (cos.f64 x))) -1) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) -1) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) -1)) |
(*.f64 (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3))) (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (cos.f64 x) 3))) |
(*.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 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 -1 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(pow.f64 (-.f64 1 (cos.f64 x)) -1) |
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
| 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))) |
(+.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 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 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))) |
(+.f64 1/2 (*.f64 x (*.f64 x -1/24))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/720))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/720)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (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 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 (/.f64 2 x) x) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(+.f64 1/6 (/.f64 (/.f64 2 x) x)) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
(fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x))) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (*.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (fma.f64 1/3024 (pow.f64 x 4) (/.f64 2 (*.f64 x x))))) |
(fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (fma.f64 1/3024 (pow.f64 x 4) (/.f64 (/.f64 2 x) x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) 1) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 -1 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 x (/.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 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (neg.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (/.f64 -1 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 1) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 x (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (/.f64 1 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 x (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 x (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)) |
(/.f64 (sqrt.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 x (sqrt.f64 x))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 x (sqrt.f64 x))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 1 (*.f64 (sqrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 x (sqrt.f64 x))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)) |
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 -1 (neg.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) |
(*.f64 x (/.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (/.f64 (pow.f64 x -2) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) |
(*.f64 x (/.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) |
(*.f64 x (/.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(/.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(/.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
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(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
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(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 x))) |
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x)))) |
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 4)) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 -1 (/.f64 (pow.f64 x -2) (/.f64 1 (+.f64 -1 (cos.f64 x))))) |
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(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (-.f64 1 (cos.f64 x))) -1) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))) (sqrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)) (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2)) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))) (sqrt.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) (*.f64 (/.f64 (fabs.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2)) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2))) |
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) (/.f64 (fabs.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(/.f64 (sqrt.f64 (/.f64 (neg.f64 (*.f64 x x)) (-.f64 1 (cos.f64 x)))) (/.f64 -1 (sqrt.f64 (/.f64 (neg.f64 (*.f64 x x)) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 x (neg.f64 x)) (-.f64 1 (cos.f64 x)))) -1) (sqrt.f64 (/.f64 (*.f64 x (neg.f64 x)) (-.f64 1 (cos.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))) (/.f64 (sqrt.f64 (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))) -1)) |
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (fabs.f64 (cbrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))))) |
(*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 (*.f64 x x)) (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 (neg.f64 (*.f64 x x)) (-.f64 1 (cos.f64 x))))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x (neg.f64 x)) (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 (*.f64 x (neg.f64 x)) (-.f64 1 (cos.f64 x))))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)))) |
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 x 4))))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (*.f64 x (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 x (sqrt.f64 x))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(/.f64 (*.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) |
(*.f64 x (/.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) |
(*.f64 x (/.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (-.f64 1 (cos.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 x x) -1) (+.f64 -1 (cos.f64 x))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 x (/.f64 1 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 x (/.f64 1 x)) (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 x (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)) |
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (/.f64 1 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (pow.f64 x -2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (pow.f64 x -2)) |
(/.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (pow.f64 x -2) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 x -2)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 x -2)) |
(/.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))) 1) (+.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))) |
(/.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 x x) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (neg.f64 x) (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
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(/.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
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(/.f64 (*.f64 (*.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) -1) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 x (*.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) -1)) |
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(/.f64 (*.f64 (/.f64 x (/.f64 1 x)) 1) (-.f64 1 (cos.f64 x))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
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(/.f64 (*.f64 (/.f64 x (/.f64 1 x)) 1) (neg.f64 (+.f64 -1 (cos.f64 x)))) |
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(/.f64 (*.f64 (/.f64 x (/.f64 1 x)) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 x (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)) |
(/.f64 (*.f64 (/.f64 x (/.f64 1 x)) -1) (+.f64 -1 (cos.f64 x))) |
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(/.f64 (*.f64 (/.f64 x (/.f64 1 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) |
(*.f64 x (/.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
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(/.f64 (*.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) -1) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (neg.f64 x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(/.f64 (neg.f64 x) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) |
(/.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))) (-.f64 (pow.f64 (cos.f64 x) 2) (-.f64 (cos.f64 x) 1))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(/.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) (/.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)) (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) |
(*.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) (/.f64 (+.f64 1 (-.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3)))) |
(/.f64 (/.f64 (*.f64 x x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.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 x 1) x) (-.f64 1 (cos.f64 x))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
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(/.f64 (*.f64 (/.f64 x 1) (*.f64 x -1)) (+.f64 -1 (cos.f64 x))) |
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(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
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(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (pow.f64 (cbrt.f64 x) 2)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) |
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(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) |
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(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (*.f64 x -1) x) (+.f64 -1 (cos.f64 x))) |
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(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
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(/.f64 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))) 1) (+.f64 1 (cos.f64 x))) |
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(/.f64 (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
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(/.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
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(/.f64 (*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (fabs.f64 (sin.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (/.f64 -1 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.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 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 4))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4)))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 6))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4)))) |
(pow.f64 (-.f64 1 (cos.f64 x)) -1) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 2) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 3) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 3) 1/3) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 3)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.23% | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
| ✓ | 20.73% | (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) |
Compiled 34 to 18 computations (47.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 1518× | associate-*r/ |
| 1262× | associate-/r* |
| 1162× | associate-*l/ |
| 1092× | *-commutative |
| 980× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 56 |
| 1 | 229 | 56 |
| 2 | 3000 | 56 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 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(sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))) (#(struct:change #<rule 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(*.f64 x 1/2)) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x x) 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(pow.f64 x -2)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 1312× | associate-/l* |
| 802× | distribute-lft-neg-in |
| 724× | distribute-rgt-in |
| 718× | distribute-lft-in |
| 652× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 483 | 8094 |
| 1 | 1291 | 8050 |
| 2 | 5659 | 8050 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/2 x) |
(+.f64 (*.f64 1/24 x) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/240 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 17/40320 (pow.f64 x 5)) (*.f64 1/240 (pow.f64 x 3))))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 1) |
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 -1 (*.f64 x x))) |
(*.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1)) |
(*.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) |
(*.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1)) |
(*.f64 (/.f64 1 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.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) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 x x)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 3) 1/3) |
(pow.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))) -1) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 x)))) |
(sqrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) |
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)))) 1) |
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)) 1) |
(/.f64 1 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 1 (pow.f64 x -2))) |
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x (neg.f64 x)) (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))) |
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(cbrt.f64 (pow.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)))) |
(exp.f64 (log.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)))) |
| Outputs |
|---|
(/.f64 1/2 x) |
(+.f64 (*.f64 1/24 x) (*.f64 1/2 (/.f64 1 x))) |
(fma.f64 1/24 x (/.f64 1/2 x)) |
(fma.f64 x 1/24 (/.f64 1/2 x)) |
(+.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/240 (pow.f64 x 3)))) |
(+.f64 (fma.f64 1/24 x (/.f64 1/2 x)) (*.f64 1/240 (pow.f64 x 3))) |
(fma.f64 x 1/24 (fma.f64 1/240 (pow.f64 x 3) (/.f64 1/2 x))) |
(+.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 17/40320 (pow.f64 x 5)) (*.f64 1/240 (pow.f64 x 3))))) |
(+.f64 (fma.f64 1/24 x (/.f64 1/2 x)) (fma.f64 17/40320 (pow.f64 x 5) (*.f64 1/240 (pow.f64 x 3)))) |
(+.f64 (fma.f64 x 1/24 (/.f64 1/2 x)) (fma.f64 1/240 (pow.f64 x 3) (*.f64 17/40320 (pow.f64 x 5)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 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 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 2)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 1 x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 -1 (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 x x)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) 2) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 3) 1/3) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(pow.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))) -1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(sqrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) (pow.f64 x 4))) |
(sqrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2) (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 3)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)))) 1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)) 1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 1 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x x)) (*.f64 (tan.f64 (*.f64 1/2 x)) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) 1) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) (cbrt.f64 (pow.f64 x 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 x 4))))) |
(/.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) (*.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 (tan.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) (neg.f64 x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) 1) (*.f64 x (neg.f64 x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) -1) (*.f64 x x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (neg.f64 x)) x) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) |
(pow.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)) 1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) 2) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x))) 3) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)) 3) 1/3) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) 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 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (sin.f64 x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)) 3)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 3) (pow.f64 (sin.f64 x) 3))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(exp.f64 (log.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
Compiled 39858 to 23248 computations (41.7% saved)
26 alts after pruning (19 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1998 | 15 | 2013 |
| Fresh | 2 | 4 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 6 | 9 |
| Total | 2003 | 26 | 2029 |
| Status | Error | Program |
|---|---|---|
| ✓ | 45.5% | (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
| 46.12% | (/.f64 (pow.f64 x -2) (/.f64 1 (-.f64 1 (cos.f64 x)))) | |
| ✓ | 45.4% | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
| 72.12% | (/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) x) | |
| ▶ | 0.25% | (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
| ▶ | 45.57% | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
| ✓ | 47.01% | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 45.53% | (/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x) | |
| 22.05% | (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))) | |
| 46.99% | (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) | |
| 46.38% | (/.f64 1 (/.f64 (neg.f64 x) (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))))) | |
| 48.69% | (/.f64 1 (*.f64 (*.f64 x x) (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x))))) | |
| 72.48% | (/.f64 1 (*.f64 (*.f64 x x) (/.f64 (/.f64 2 x) x))) | |
| ✓ | 47.01% | (/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x))))) |
| ▶ | 46.2% | (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x)))) |
| 47.25% | (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| ✓ | 52.81% | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| ✓ | 46.08% | (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) |
| ▶ | 74.19% | (*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) |
| 73.09% | (*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 1/2 x) x)) | |
| 45.41% | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) | |
| ✓ | 22.14% | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
| 22.6% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))) (sin.f64 x)) | |
| ▶ | 51.2% | (*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
| 50.3% | (*.f64 (/.f64 1/2 x) (sin.f64 x)) | |
| 51.12% | 1/2 |
Compiled 520 to 354 computations (31.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.14% | (/.f64 x (sin.f64 x)) |
| ✓ | 0.18% | (/.f64 (tan.f64 (*.f64 x 1/2)) x) |
| ✓ | 0.22% | (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
Compiled 33 to 18 computations (45.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/.f64 (tan.f64 (*.f64 x 1/2)) x) |
| 0.0ms | x | @ | inf | (/.f64 x (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 x (sin.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 (tan.f64 (*.f64 x 1/2)) x) |
| 0.0ms | x | @ | 0 | (/.f64 x (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 1320× | associate-/r/ |
| 1268× | associate-/l/ |
| 924× | swap-sqr |
| 482× | distribute-lft-neg-in |
| 428× | distribute-rgt-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 61 |
| 1 | 240 | 61 |
| 2 | 3405 | 61 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
(/.f64 (tan.f64 (*.f64 x 1/2)) x) |
(/.f64 x (sin.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (*.f64 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(pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 1168× | times-frac |
| 992× | associate-*l* |
| 878× | associate-*r* |
| 816× | associate-/l* |
| 688× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 487 | 6096 |
| 1 | 1322 | 5994 |
| 2 | 7387 | 5994 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
1/2 |
(+.f64 1/2 (*.f64 1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/240 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (+.f64 (*.f64 17/40320 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4))))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) 1) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sin.f64 x) x))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) 1) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (/.f64 1 x)) |
(*.f64 (*.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (cbrt.f64 x) 2) x)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 x))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 -1 x) (*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (sin.f64 x)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
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(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) -1) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(pow.f64 (/.f64 x (sin.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 x) x) -1) |
(neg.f64 (/.f64 (neg.f64 x) (sin.f64 x))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) 1)) |
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 x (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 x (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -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 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
1/2 |
(+.f64 1/2 (*.f64 1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 1/24 (*.f64 x x))) |
(fma.f64 1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/240 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/240))) |
(+.f64 (fma.f64 1/24 (*.f64 x x) 1/2) (*.f64 (pow.f64 x 4) 1/240)) |
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (+.f64 (*.f64 17/40320 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 1/24 (*.f64 x x) (fma.f64 17/40320 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/240)))) |
(+.f64 (fma.f64 1/24 (*.f64 x x) 1/2) (fma.f64 (pow.f64 x 6) 17/40320 (*.f64 (pow.f64 x 4) 1/240))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x) |
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(fma.f64 1/6 (*.f64 x x) 1) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 (pow.f64 x 4) 7/360 (fma.f64 1/6 (*.f64 x x) 1)) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6))))) |
(fma.f64 7/360 (pow.f64 x 4) (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 (pow.f64 x 6) 31/15120))) |
(fma.f64 (pow.f64 x 4) 7/360 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) 31/15120 1))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) 1) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sin.f64 x) x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sin.f64 x) x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (/.f64 1 x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 1 (*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (cbrt.f64 (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(/.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) x)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x (sqrt.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (cbrt.f64 x) 2) x)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 x) 2)) x) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 x))) (neg.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (sin.f64 x)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 1 (*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 1 (*.f64 x (sqrt.f64 (/.f64 x (sin.f64 x))))))) |
(/.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) x)) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) x) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 1 (*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (cbrt.f64 (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(/.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) x)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) x) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) x) (sin.f64 x))) |
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(*.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (neg.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)) (neg.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (/.f64 -1 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) 1/3) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) -1) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) 1)) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) 2)) |
(fabs.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3)) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 x 3))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 1)) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) 1) |
(/.f64 x (sin.f64 x)) |
(*.f64 x (/.f64 1 (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(*.f64 x (neg.f64 (/.f64 -1 (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 x (sin.f64 x)) 1) |
(/.f64 x (sin.f64 x)) |
(*.f64 1 (/.f64 x (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 1 (sin.f64 x)) x) |
(/.f64 x (sin.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 -1 (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) (neg.f64 (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 -1 (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (neg.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 x)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (sqrt.f64 x)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 1) x) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 x 1)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (cbrt.f64 x)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) -1) (neg.f64 x)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (/.f64 x (sin.f64 x)) 1) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (/.f64 (sin.f64 x) x) -1) |
(/.f64 x (sin.f64 x)) |
(neg.f64 (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) 1)) |
(/.f64 x (sin.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2)) |
(fabs.f64 (/.f64 x (sin.f64 x))) |
(log.f64 (exp.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 x (sin.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3)) |
(/.f64 x (sin.f64 x)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) |
(/.f64 x (sin.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(exp.f64 (log.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) 1)) |
(/.f64 x (sin.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2% | (*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
Compiled 17 to 12 computations (29.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
| 1× | batch-egg-rewrite |
| 1504× | add-sqr-sqrt |
| 1482× | *-un-lft-identity |
| 1386× | add-cube-cbrt |
| 1368× | add-cbrt-cube |
| 1352× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 162 | 13 |
| 2 | 1904 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 x (sqrt.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (/.f64 x (cbrt.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/2) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x 1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 x)))))))) |
| 1× | egg-herbie |
| 1438× | associate-/r* |
| 1080× | associate-*r* |
| 890× | associate-*l* |
| 882× | distribute-lft-in |
| 592× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 74 |
| 1 | 178 | 74 |
| 2 | 369 | 74 |
| 3 | 1029 | 74 |
| 4 | 5688 | 74 |
| 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 (+.f64 1 (*.f64 x (/.f64 1/2 x))) 1) |
(/.f64 1 (/.f64 x (*.f64 x 1/2))) |
(/.f64 x (/.f64 x 1/2)) |
(/.f64 1/2 (/.f64 x x)) |
(/.f64 (*.f64 x 1/2) x) |
(/.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 x (sqrt.f64 (*.f64 x 1/2)))) |
(/.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (/.f64 x (cbrt.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (*.f64 x 1/2) -1) (neg.f64 x)) |
(/.f64 (*.f64 -1 (*.f64 x 1/2)) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 x 1/2) 1) x) |
(/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 x)) |
(pow.f64 (*.f64 x (/.f64 1/2 x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 x))) 3) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 1/2 x)) x)) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 x)))) |
(exp.f64 (log.f64 (*.f64 x (/.f64 1/2 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 1/2 x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 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 (+.f64 1 (*.f64 x (/.f64 1/2 x))) 1) |
1/2 |
(/.f64 1 (/.f64 x (*.f64 x 1/2))) |
1/2 |
(/.f64 x (/.f64 x 1/2)) |
1/2 |
(/.f64 1/2 (/.f64 x x)) |
1/2 |
(/.f64 (*.f64 x 1/2) x) |
1/2 |
(/.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 x (sqrt.f64 (*.f64 x 1/2)))) |
1/2 |
(/.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (/.f64 x (cbrt.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) x) (cbrt.f64 (*.f64 x 1/2))) |
(*.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) x)) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (/.f64 (cbrt.f64 (*.f64 x 1/2)) x)) |
(/.f64 (*.f64 (*.f64 x 1/2) -1) (neg.f64 x)) |
1/2 |
(/.f64 (*.f64 -1 (*.f64 x 1/2)) (neg.f64 x)) |
1/2 |
(/.f64 (/.f64 (*.f64 x 1/2) 1) x) |
1/2 |
(/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x)) |
1/2 |
(/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
1/2 |
(/.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 x)) |
1/2 |
(pow.f64 (*.f64 x (/.f64 1/2 x)) 1) |
1/2 |
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 x))) 2) |
1/2 |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 x))) 3) |
1/2 |
(pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 3) 1/3) |
1/2 |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 2)) |
1/2 |
(log.f64 (pow.f64 (exp.f64 (/.f64 1/2 x)) x)) |
1/2 |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 3)) |
1/2 |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 x)))) |
1/2 |
(exp.f64 (log.f64 (*.f64 x (/.f64 1/2 x)))) |
1/2 |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 1/2 x))) 1)) |
1/2 |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 x)))) |
1/2 |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.03% | (+.f64 1/6 (/.f64 (/.f64 2 x) x)) |
| ✓ | 0.21% | (/.f64 (/.f64 2 x) x) |
| ✓ | 0.92% | (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x)))) |
| ✓ | 21.06% | (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x))) |
Compiled 47 to 29 computations (38.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x))) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x))) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 2 x) x) |
| 0.0ms | x | @ | inf | (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x)))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x)))) |
| 1× | batch-egg-rewrite |
| 1180× | associate-/l* |
| 720× | distribute-rgt-in |
| 688× | associate-/r/ |
| 686× | distribute-lft-in |
| 518× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 100 |
| 1 | 272 | 94 |
| 2 | 3703 | 94 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x))) |
(/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x)))) |
(/.f64 (/.f64 2 x) x) |
(+.f64 1/6 (/.f64 (/.f64 2 x) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 1/6)) (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 1/6)) 1) (*.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) 1) (*.f64 (*.f64 x (*.f64 x 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 1/6 x)) (*.f64 x (*.f64 (*.f64 2 (pow.f64 x -2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (*.f64 2 (pow.f64 x -2)) x)) (*.f64 x (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 x (*.f64 x 1/6)) 1)) (*.f64 1 (*.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/6) x) (*.f64 (*.f64 x (*.f64 2 (pow.f64 x -2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 2 (pow.f64 x -2))) x) (*.f64 (*.f64 x 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x 1/6)) 1) 1) (*.f64 (*.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 1 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 1 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 -1 (*.f64 (neg.f64 x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 1 (/.f64 1 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 1 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 (/.f64 1 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 -1 (neg.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 x -2) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 2) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (/.f64 (pow.f64 x -2) (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (/.f64 1 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (/.f64 1 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (*.f64 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 1 (*.f64 (sqrt.f64 x) (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(*.f64 (cbrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 (/.f64 1 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 1 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 1 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 1 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (*.f64 (cbrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (*.f64 (cbrt.f64 x) (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 2) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) (cbrt.f64 (*.f64 x (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 2) (pow.f64 x 4))) (cbrt.f64 (/.f64 (pow.f64 x -2) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 2) (pow.f64 x 4))) (/.f64 -1 (neg.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (/.f64 1 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (/.f64 (pow.f64 x -2) (/.f64 1 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (/.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3))) (/.f64 (pow.f64 x -2) 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| 1× | egg-herbie |
| 1022× | associate-*r* |
| 764× | associate-/r* |
| 700× | *-commutative |
| 690× | associate-*l* |
| 684× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 622 | 12273 |
| 1 | 1757 | 10535 |
| 2 | 7987 | 10535 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2) |
(*.f64 1/6 (pow.f64 x 2)) |
(+.f64 2 (*.f64 1/6 (pow.f64 x 2))) |
(+.f64 2 (*.f64 1/6 (pow.f64 x 2))) |
(+.f64 2 (*.f64 1/6 (pow.f64 x 2))) |
(*.f64 1/6 (pow.f64 x 2)) |
(+.f64 2 (*.f64 1/6 (pow.f64 x 2))) |
(+.f64 2 (*.f64 1/6 (pow.f64 x 2))) |
(+.f64 2 (*.f64 1/6 (pow.f64 x 2))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/288 (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 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
1/6 |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
1/6 |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 x (*.f64 x 1/6)) (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x)))) |
(+.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) (*.f64 x (*.f64 x 1/6))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/6)) 1) (*.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) 1)) |
(+.f64 (*.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) 1) (*.f64 (*.f64 x (*.f64 x 1/6)) 1)) |
(+.f64 (*.f64 x (*.f64 1/6 x)) (*.f64 x (*.f64 (*.f64 2 (pow.f64 x -2)) x))) |
(+.f64 (*.f64 x (*.f64 (*.f64 2 (pow.f64 x -2)) x)) (*.f64 x (*.f64 1/6 x))) |
(+.f64 (*.f64 1 (*.f64 (*.f64 x (*.f64 x 1/6)) 1)) (*.f64 1 (*.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) 1))) |
(+.f64 (*.f64 (*.f64 x 1/6) x) (*.f64 (*.f64 x (*.f64 2 (pow.f64 x -2))) x)) |
(+.f64 (*.f64 (*.f64 x (*.f64 2 (pow.f64 x -2))) x) (*.f64 (*.f64 x 1/6) x)) |
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x 1/6)) 1) 1) (*.f64 (*.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) 1) 1)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) 1) |
(/.f64 x (/.f64 1 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) |
(/.f64 x (/.f64 (/.f64 1 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) 1)) |
(/.f64 x (/.f64 (/.f64 1 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) x)) |
(/.f64 x (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) |
(/.f64 x (/.f64 -1 (*.f64 (neg.f64 x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) |
(/.f64 x (*.f64 1 (/.f64 1 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))))) |
(/.f64 (*.f64 x x) (/.f64 1 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) |
(/.f64 (*.f64 x x) (/.f64 (/.f64 1 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) 1)) |
(/.f64 (*.f64 x x) (/.f64 -1 (neg.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) |
(/.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) (pow.f64 x -2)) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) 1) |
(/.f64 1 (/.f64 (pow.f64 x -2) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) |
(/.f64 1 (/.f64 (/.f64 1 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) x)) |
(/.f64 1 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 2) (pow.f64 x 4))))) |
(/.f64 (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (/.f64 (pow.f64 x -2) (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) |
(/.f64 (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) x)) |
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 1 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 1 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (*.f64 (sqrt.f64 x) x))) |
(/.f64 (sqrt.f64 x) (/.f64 1 (*.f64 (sqrt.f64 x) (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))))) |
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) (sqrt.f64 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))))) |
(/.f64 (*.f64 x (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (/.f64 1 (*.f64 x (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))))) |
(/.f64 (*.f64 x (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (/.f64 -1 (*.f64 (neg.f64 x) (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))))) |
(/.f64 (cbrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (/.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) 2) (/.f64 (pow.f64 x -2) (cbrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) 2) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (*.f64 x x)))) |
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 1 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 1 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (cbrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 1 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 1 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (*.f64 (cbrt.f64 x) x))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (*.f64 (cbrt.f64 x) (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))))) |
(/.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 2) (pow.f64 x 4))))) |
(/.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) (cbrt.f64 (*.f64 x (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))))) |
(/.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 2) (pow.f64 x 4))) (cbrt.f64 (/.f64 (pow.f64 x -2) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 2) (pow.f64 x 4))) (/.f64 -1 (neg.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (/.f64 1 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) |
(/.f64 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (/.f64 1 x)) |
(/.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (/.f64 (pow.f64 x -2) (/.f64 1 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2)))))) |
(/.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (/.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))) (*.f64 x x))) |
(/.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))) |
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3))) (/.f64 (pow.f64 x -2) (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x))))))) |
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3))) (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x)))) (*.f64 x x))) |
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3))) (*.f64 (pow.f64 x -2) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x)))))) |
(/.f64 -1 (/.f64 -1 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) |
(/.f64 (*.f64 x (*.f64 (neg.f64 x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) -1) |
(/.f64 (neg.f64 x) (/.f64 -1 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) |
(/.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) (sqrt.f64 (*.f64 x (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (/.f64 (/.f64 1 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (sqrt.f64 (*.f64 x (*.f64 (neg.f64 x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) (/.f64 -1 (sqrt.f64 (*.f64 x (*.f64 (neg.f64 x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 2) (pow.f64 x 4)))) (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 2) (pow.f64 x 4)))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 2) (pow.f64 x 4)))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 (neg.f64 x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) (cbrt.f64 (*.f64 x (*.f64 (neg.f64 x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))))) (cbrt.f64 (/.f64 (pow.f64 x -2) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) |
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 2) (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 2) (pow.f64 x 4))))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 2) (pow.f64 x 4)))))) |
(/.f64 (*.f64 x (sqrt.f64 x)) (/.f64 (/.f64 1 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (sqrt.f64 x))) |
(/.f64 (*.f64 (*.f64 x x) (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (/.f64 1 (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) |
(/.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) 2)) (/.f64 1 (cbrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) |
(/.f64 (*.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (cbrt.f64 x))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2)))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3)))) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (*.f64 x x)) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2)))) |
(/.f64 (*.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3))) (*.f64 x x)) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x))))) |
(/.f64 (*.f64 (neg.f64 x) x) (/.f64 -1 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) |
(/.f64 (neg.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (/.f64 -1 (*.f64 x x))) |
(/.f64 (*.f64 (neg.f64 x) (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (/.f64 -1 (*.f64 x (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))))) |
(/.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 2) (pow.f64 x 4)))) (/.f64 -1 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))))) |
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (*.f64 (pow.f64 x -2) (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 1/6)) (*.f64 x (*.f64 x 1/6))) (*.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))))) (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3) (pow.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/6)) (*.f64 x (*.f64 x 1/6))) (*.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) (-.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) (*.f64 x (*.f64 x 1/6)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3) (pow.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) 3)) (*.f64 1 (+.f64 (*.f64 (*.f64 x (*.f64 x 1/6)) (*.f64 x (*.f64 x 1/6))) (*.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) (-.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) (*.f64 x (*.f64 x 1/6))))))) |
(/.f64 (neg.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))) (*.f64 (pow.f64 x -2) (neg.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2)))))) |
(/.f64 (neg.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3)))) (*.f64 (pow.f64 x -2) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x))))))) |
(pow.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) 1) |
(pow.f64 (*.f64 x (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) 3) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) 3) 1/3) |
(neg.f64 (*.f64 x (*.f64 (neg.f64 x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) |
(sqrt.f64 (*.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 2) (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 3))) |
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(/.f64 (-.f64 1/46656 (*.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) (/.f64 8 (pow.f64 (*.f64 x x) 3)))) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x)))) (-.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3))))) |
(/.f64 (-.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 4)))) (*.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36))) |
(/.f64 (+.f64 1/10077696 (pow.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) 3)) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x)))) (+.f64 1/46656 (*.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) (-.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) 1/216))))) |
(/.f64 (-.f64 1/46656 (pow.f64 (/.f64 4 (pow.f64 x 4)) 3)) (*.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))) (+.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36))))) |
(/.f64 (neg.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))) (neg.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))) |
(/.f64 (neg.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3)))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x)))))) |
(pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 1) |
(pow.f64 (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) 3) |
(pow.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 2)) |
(log.f64 (exp.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) |
(cbrt.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 3)) |
(expm1.f64 (log.f64 (+.f64 7/6 (*.f64 2 (pow.f64 x -2))))) |
(exp.f64 (log.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) |
(fma.f64 (/.f64 2 x) (/.f64 1 x) 1/6) |
(fma.f64 1 (*.f64 2 (pow.f64 x -2)) 1/6) |
(fma.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x) 1/6) |
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 1/6) |
| Outputs |
|---|
2 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2) |
(fma.f64 1/6 (*.f64 x x) 2) |
(fma.f64 x (*.f64 1/6 x) 2) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2) |
(fma.f64 1/6 (*.f64 x x) 2) |
(fma.f64 x (*.f64 1/6 x) 2) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2) |
(fma.f64 1/6 (*.f64 x x) 2) |
(fma.f64 x (*.f64 1/6 x) 2) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(+.f64 2 (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (*.f64 x x) 2) |
(fma.f64 x (*.f64 1/6 x) 2) |
(+.f64 2 (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (*.f64 x x) 2) |
(fma.f64 x (*.f64 1/6 x) 2) |
(+.f64 2 (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (*.f64 x x) 2) |
(fma.f64 x (*.f64 1/6 x) 2) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(+.f64 2 (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (*.f64 x x) 2) |
(fma.f64 x (*.f64 1/6 x) 2) |
(+.f64 2 (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (*.f64 x x) 2) |
(fma.f64 x (*.f64 1/6 x) 2) |
(+.f64 2 (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (*.f64 x x) 2) |
(fma.f64 x (*.f64 1/6 x) 2) |
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 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.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 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 6 (pow.f64 x -2)) |
(-.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))) |
(fma.f64 6 (pow.f64 x -2) (/.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 6 (*.f64 x x)) (-.f64 (/.f64 864 (pow.f64 x 6)) (/.f64 72 (pow.f64 x 4)))) |
(+.f64 (/.f64 864 (pow.f64 x 6)) (fma.f64 6 (pow.f64 x -2) (/.f64 -72 (pow.f64 x 4)))) |
(+.f64 (fma.f64 6 (pow.f64 x -2) (/.f64 -72 (pow.f64 x 4))) (/.f64 864 (pow.f64 x 6))) |
(-.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 (fma.f64 6 (pow.f64 x -2) (/.f64 864 (pow.f64 x 6))) (/.f64 10368 (pow.f64 x 8))) (/.f64 -72 (pow.f64 x 4))) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (*.f64 x x)) |
(*.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 6 (*.f64 x x)) (/.f64 72 (pow.f64 x 4))) |
(fma.f64 6 (pow.f64 x -2) (/.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 6 (*.f64 x x)) (-.f64 (/.f64 864 (pow.f64 x 6)) (/.f64 72 (pow.f64 x 4)))) |
(+.f64 (/.f64 864 (pow.f64 x 6)) (fma.f64 6 (pow.f64 x -2) (/.f64 -72 (pow.f64 x 4)))) |
(+.f64 (fma.f64 6 (pow.f64 x -2) (/.f64 -72 (pow.f64 x 4))) (/.f64 864 (pow.f64 x 6))) |
(-.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 (fma.f64 6 (pow.f64 x -2) (/.f64 864 (pow.f64 x 6))) (/.f64 10368 (pow.f64 x 8))) (/.f64 -72 (pow.f64 x 4))) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
1/6 |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
1/6 |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(+.f64 (*.f64 x (*.f64 x 1/6)) (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x)))) |
(fma.f64 1/6 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 2 x))) |
(fma.f64 1/6 (*.f64 x x) (*.f64 (/.f64 2 x) (/.f64 x (/.f64 x x)))) |
(+.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) (*.f64 x (*.f64 x 1/6))) |
(fma.f64 1/6 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 2 x))) |
(fma.f64 1/6 (*.f64 x x) (*.f64 (/.f64 2 x) (/.f64 x (/.f64 x x)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/6)) 1) (*.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) 1)) |
(fma.f64 1/6 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 2 x))) |
(fma.f64 1/6 (*.f64 x x) (*.f64 (/.f64 2 x) (/.f64 x (/.f64 x x)))) |
(+.f64 (*.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) 1) (*.f64 (*.f64 x (*.f64 x 1/6)) 1)) |
(fma.f64 1/6 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 2 x))) |
(fma.f64 1/6 (*.f64 x x) (*.f64 (/.f64 2 x) (/.f64 x (/.f64 x x)))) |
(+.f64 (*.f64 x (*.f64 1/6 x)) (*.f64 x (*.f64 (*.f64 2 (pow.f64 x -2)) x))) |
(*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 x (fma.f64 1/6 x (/.f64 2 x))) |
(+.f64 (*.f64 x (*.f64 (*.f64 2 (pow.f64 x -2)) x)) (*.f64 x (*.f64 1/6 x))) |
(*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 x (fma.f64 1/6 x (/.f64 2 x))) |
(+.f64 (*.f64 1 (*.f64 (*.f64 x (*.f64 x 1/6)) 1)) (*.f64 1 (*.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) 1))) |
(fma.f64 1/6 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 2 x))) |
(fma.f64 1/6 (*.f64 x x) (*.f64 (/.f64 2 x) (/.f64 x (/.f64 x x)))) |
(+.f64 (*.f64 (*.f64 x 1/6) x) (*.f64 (*.f64 x (*.f64 2 (pow.f64 x -2))) x)) |
(*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 x (fma.f64 1/6 x (/.f64 2 x))) |
(+.f64 (*.f64 (*.f64 x (*.f64 2 (pow.f64 x -2))) x) (*.f64 (*.f64 x 1/6) x)) |
(*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 x (fma.f64 1/6 x (/.f64 2 x))) |
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x 1/6)) 1) 1) (*.f64 (*.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) 1) 1)) |
(fma.f64 1/6 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 2 x))) |
(fma.f64 1/6 (*.f64 x x) (*.f64 (/.f64 2 x) (/.f64 x (/.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) 1) |
(*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 x (fma.f64 1/6 x (/.f64 2 x))) |
(/.f64 x (/.f64 1 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) |
(*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 x (fma.f64 1/6 x (/.f64 2 x))) |
(/.f64 x (/.f64 (/.f64 1 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) 1)) |
(*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 x (fma.f64 1/6 x (/.f64 2 x))) |
(/.f64 x (/.f64 (/.f64 1 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) x)) |
(*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 x (fma.f64 1/6 x (/.f64 2 x))) |
(/.f64 x (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) |
(*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 x (fma.f64 1/6 x (/.f64 2 x))) |
(/.f64 x (/.f64 -1 (*.f64 (neg.f64 x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) |
(*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 x (fma.f64 1/6 x (/.f64 2 x))) |
(/.f64 x (*.f64 1 (/.f64 1 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))))) |
(*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 x (fma.f64 1/6 x (/.f64 2 x))) |
(/.f64 (*.f64 x x) (/.f64 1 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) |
(*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 x (fma.f64 1/6 x (/.f64 2 x))) |
(/.f64 (*.f64 x x) (/.f64 (/.f64 1 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) 1)) |
(*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 x (fma.f64 1/6 x (/.f64 2 x))) |
(/.f64 (*.f64 x x) (/.f64 -1 (neg.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) |
(*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 x (fma.f64 1/6 x (/.f64 2 x))) |
(/.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) (pow.f64 x -2)) |
(*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 x (fma.f64 1/6 x (/.f64 2 x))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) 1) |
(*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 x (fma.f64 1/6 x (/.f64 2 x))) |
(/.f64 1 (/.f64 (pow.f64 x -2) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) |
(*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 x (fma.f64 1/6 x (/.f64 2 x))) |
(/.f64 1 (/.f64 (/.f64 1 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) x)) |
(*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 x (fma.f64 1/6 x (/.f64 2 x))) |
(/.f64 1 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 2) (pow.f64 x 4))))) |
(/.f64 1 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (cbrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/6 x (/.f64 2 x))) 2)) (/.f64 1 (cbrt.f64 (/.f64 1 (*.f64 x (fma.f64 1/6 x (/.f64 2 x))))))) |
(/.f64 (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (/.f64 (pow.f64 x -2) (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) |
(*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 x (fma.f64 1/6 x (/.f64 2 x))) |
(/.f64 (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) x)) |
(*.f64 (*.f64 x x) (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 x (fma.f64 1/6 x (/.f64 2 x))) |
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 1 (*.f64 x (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) (sqrt.f64 x))) |
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(/.f64 (sqrt.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))) (/.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))) (sqrt.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))))) |
(*.f64 (sqrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (/.f64 (sqrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (fma.f64 -2 (pow.f64 x -2) 1/6))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3)))) (cbrt.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3))))) (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x)))) (cbrt.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3)))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6)))) (cbrt.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))))) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x))))) (cbrt.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))))) |
(*.f64 (cbrt.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6)))) (/.f64 (*.f64 (cbrt.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6)))) (cbrt.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))))) (+.f64 1/36 (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 -1/3 (*.f64 x x)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))) (cbrt.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))))) (/.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))) (cbrt.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2)))) (cbrt.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))))) |
(/.f64 (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (/.f64 (fma.f64 -2 (pow.f64 x -2) 1/6) (*.f64 (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))))) |
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6)) |
(/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) -1/36) (fma.f64 2 (pow.f64 x -2) -1/6)) |
(/.f64 (-.f64 1/46656 (*.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) (/.f64 8 (pow.f64 (*.f64 x x) 3)))) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x)))) (-.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3))))) |
(/.f64 (-.f64 1/46656 (*.f64 (/.f64 8 (pow.f64 x 6)) (/.f64 8 (pow.f64 x 6)))) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x)))) (-.f64 1/216 (/.f64 8 (pow.f64 x 6))))) |
(/.f64 (-.f64 1/46656 (/.f64 (/.f64 64 (pow.f64 x 6)) (pow.f64 x 6))) (*.f64 (+.f64 1/36 (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 -1/3 (*.f64 x x)))) (+.f64 1/216 (/.f64 -8 (pow.f64 x 6))))) |
(/.f64 (-.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 4)))) (*.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36))) |
(/.f64 (-.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 4)))) (*.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))) (+.f64 1/36 (/.f64 4 (pow.f64 x 4))))) |
(/.f64 (-.f64 1/1296 (/.f64 (/.f64 16 (pow.f64 x 4)) (pow.f64 x 4))) (*.f64 (fma.f64 -2 (pow.f64 x -2) 1/6) (+.f64 1/36 (/.f64 4 (pow.f64 x 4))))) |
(/.f64 (+.f64 1/10077696 (pow.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) 3)) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x)))) (+.f64 1/46656 (*.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) (-.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) 1/216))))) |
(/.f64 (+.f64 1/10077696 (/.f64 512 (pow.f64 (pow.f64 x 6) 3))) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x)))) (+.f64 1/46656 (*.f64 (/.f64 8 (pow.f64 x 6)) (+.f64 (/.f64 8 (pow.f64 x 6)) -1/216))))) |
(/.f64 (/.f64 (+.f64 1/10077696 (/.f64 512 (pow.f64 (pow.f64 x 6) 3))) (+.f64 1/36 (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 -1/3 (*.f64 x x))))) (+.f64 1/46656 (/.f64 (+.f64 (/.f64 64 (pow.f64 x 6)) -1/27) (pow.f64 x 6)))) |
(/.f64 (-.f64 1/46656 (pow.f64 (/.f64 4 (pow.f64 x 4)) 3)) (*.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))) (+.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36))))) |
(/.f64 (-.f64 1/46656 (pow.f64 (/.f64 4 (pow.f64 x 4)) 3)) (*.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))) (+.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 4 (pow.f64 x 4))))))) |
(/.f64 (/.f64 (+.f64 1/46656 (/.f64 -64 (pow.f64 (pow.f64 x 4) 3))) (fma.f64 -2 (pow.f64 x -2) 1/6)) (+.f64 1/1296 (/.f64 (+.f64 (/.f64 16 (pow.f64 x 4)) 1/9) (pow.f64 x 4)))) |
(/.f64 (neg.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))) (neg.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))) |
(/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) -1/36) (fma.f64 2 (pow.f64 x -2) -1/6)) |
(/.f64 (neg.f64 (+.f64 1/216 (/.f64 8 (pow.f64 (*.f64 x x) 3)))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x)))))) |
(neg.f64 (/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x))))))) |
(/.f64 (+.f64 -1/216 (/.f64 -8 (pow.f64 x 6))) (-.f64 (/.f64 -4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x))))) |
(pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 1) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(pow.f64 (sqrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) 2) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(pow.f64 (cbrt.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) 3) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(pow.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 3) 1/3) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(sqrt.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 2)) |
(fabs.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) |
(log.f64 (exp.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(cbrt.f64 (pow.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))) 3)) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(expm1.f64 (log.f64 (+.f64 7/6 (*.f64 2 (pow.f64 x -2))))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(exp.f64 (log.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(exp.f64 (*.f64 (log.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2)))) 1)) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(log1p.f64 (expm1.f64 (+.f64 1/6 (*.f64 2 (pow.f64 x -2))))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(fma.f64 (/.f64 2 x) (/.f64 1 x) 1/6) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(fma.f64 1 (*.f64 2 (pow.f64 x -2)) 1/6) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(fma.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x) 1/6) |
(+.f64 (pow.f64 (/.f64 (sqrt.f64 2) x) 2) 1/6) |
(+.f64 1/6 (pow.f64 (/.f64 (sqrt.f64 2) x) 2)) |
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 1/6) |
(fma.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))) 1/6) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.14% | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
| ✓ | 0.21% | (/.f64 (cos.f64 x) x) |
| ✓ | 3.06% | (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
Compiled 30 to 13 computations (56.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | x | @ | -inf | (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
| 0.0ms | x | @ | inf | (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
| 0.0ms | x | @ | 0 | (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
| 1× | batch-egg-rewrite |
| 1224× | associate-/l/ |
| 1130× | associate-/r/ |
| 656× | distribute-rgt-in |
| 624× | distribute-lft-in |
| 488× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 51 |
| 1 | 223 | 51 |
| 2 | 3376 | 51 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
(/.f64 (cos.f64 x) x) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1386× | associate-*r* |
| 1250× | associate-*l* |
| 912× | associate-/l* |
| 866× | *-commutative |
| 652× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 687 | 12660 |
| 1 | 2089 | 12058 |
| 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 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 1 x) |
(+.f64 (*.f64 -1/2 x) (/.f64 1 x)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (*.f64 1/24 (pow.f64 x 3))))) |
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 (*.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 x) (/.f64 (cos.f64 x) (neg.f64 x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
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(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 x)))) (*.f64 (neg.f64 x) x)) |
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) (*.f64 (neg.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 x)) (-.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (pow.f64 (/.f64 (cos.f64 x) x) 2))) |
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 x)) (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (-.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 x -2))))) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3) |
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (neg.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 x -3))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(exp.f64 (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)))) |
| 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)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5))))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 1 x) |
(+.f64 (*.f64 -1/2 x) (/.f64 1 x)) |
(fma.f64 -1/2 x (/.f64 1 x)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (fma.f64 -1/2 x (/.f64 1 x)) (*.f64 (pow.f64 x 3) 1/24)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (*.f64 1/24 (pow.f64 x 3))))) |
(fma.f64 -1/2 x (fma.f64 -1/720 (pow.f64 x 5) (+.f64 (/.f64 1 x) (*.f64 (pow.f64 x 3) 1/24)))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (*.f64 x (*.f64 x -1/24))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.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 (*.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 x) (/.f64 (cos.f64 x) (neg.f64 x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))) |
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))) |
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))) |
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))) |
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)))) |
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(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 x)))) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 (neg.f64 x) (*.f64 x (neg.f64 (cos.f64 x)))) (/.f64 1 x)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (*.f64 x (neg.f64 x)))) x) (*.f64 (+.f64 1 (cos.f64 x)) (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) (*.f64 (neg.f64 x) (neg.f64 x))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (*.f64 x x))) x) (+.f64 x (*.f64 (cos.f64 x) (*.f64 x 1)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 x)) (-.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (pow.f64 (/.f64 (cos.f64 x) x) 2))) |
(/.f64 (*.f64 (*.f64 (/.f64 1 x) (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (pow.f64 (/.f64 (cos.f64 x) x) 2))) (-.f64 (pow.f64 x -4) (*.f64 (*.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))) |
(/.f64 (*.f64 (pow.f64 x -3) (*.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (pow.f64 (/.f64 (cos.f64 x) x) 2)))) (-.f64 (pow.f64 x -4) (*.f64 (*.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 x)) (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (-.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 x -2))))) |
(/.f64 (*.f64 (*.f64 (/.f64 1 x) (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 (pow.f64 x -4) (*.f64 (*.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (+.f64 1 (cos.f64 x)) (neg.f64 (pow.f64 x -2)))))) (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) 3))) |
(*.f64 (+.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (*.f64 (+.f64 1 (cos.f64 x)) (-.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x)))) (pow.f64 x -2)))))) (*.f64 (/.f64 (pow.f64 x -3) (/.f64 (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x)))) 3)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 1 x))) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (neg.f64 x) x))) |
(/.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)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x -3))) |
(cbrt.f64 (*.f64 (pow.f64 x -3) (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1% | (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) |
| 0.2% | (/.f64 (/.f64 1 x) x) | |
| ✓ | 0.51% | (fma.f64 -1/24 (*.f64 x x) 1/2) |
| ✓ | 54.57% | (*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) |
Compiled 48 to 25 computations (47.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) |
| 1× | batch-egg-rewrite |
| 1624× | associate-*l/ |
| 1082× | *-commutative |
| 1000× | associate-/r* |
| 848× | associate-/l* |
| 324× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 117 |
| 1 | 271 | 57 |
| 2 | 3412 | 57 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 x (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/24)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -2) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24)))) (*.f64 (pow.f64 x -2) (/.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (pow.f64 x -2)) (*.f64 x (*.f64 x (*.f64 x -1/24)))) (*.f64 (*.f64 x (pow.f64 x -2)) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24))) (pow.f64 x -2)) (*.f64 (/.f64 1/2 (pow.f64 x -2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x -1/24))) (*.f64 x (pow.f64 x -2))) (*.f64 (*.f64 x 1/2) (*.f64 x (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 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#<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (fma.f64 -1/24 (*.f64 x x) 1/2)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (fma.f64 -1/24 (*.f64 x x) 1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (cbrt.f64 (pow.f64 x -2))) (fma.f64 -1/24 (*.f64 x x) 1/2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) (neg.f64 x)) (*.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) (sqrt.f64 x)) (*.f64 x x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x (*.f64 x -1/24))) 1/4) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x -1/24)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x (*.f64 x -1/24))) (-.f64 1/4 (*.f64 1/2 (*.f64 x (*.f64 x -1/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (*.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 -1/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)))))))) |
| 1× | egg-herbie |
| 1304× | associate-*l* |
| 1174× | associate-/r* |
| 802× | associate-/l/ |
| 708× | *-commutative |
| 546× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 481 | 10785 |
| 1 | 1429 | 9799 |
| 2 | 7398 | 9799 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(*.f64 -1/24 (pow.f64 x 2)) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(*.f64 -1/24 (pow.f64 x 2)) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(*.f64 -1/24 (pow.f64 x 2)) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(*.f64 -1/24 (pow.f64 x 2)) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(*.f64 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 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(*.f64 -1/24 (pow.f64 x 4)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(*.f64 -1/24 (pow.f64 x 4)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 1/2 (*.f64 x (*.f64 x -1/24))) |
(+.f64 (*.f64 x (*.f64 x -1/24)) 1/2) |
(+.f64 (*.f64 (pow.f64 x -2) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24)))) (*.f64 (pow.f64 x -2) (/.f64 1/2 (pow.f64 x -2)))) |
(+.f64 (*.f64 (*.f64 x (pow.f64 x -2)) (*.f64 x (*.f64 x (*.f64 x -1/24)))) (*.f64 (*.f64 x (pow.f64 x -2)) (*.f64 x 1/2))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24))) (pow.f64 x -2)) (*.f64 (/.f64 1/2 (pow.f64 x -2)) (pow.f64 x -2))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x -1/24))) (*.f64 x (pow.f64 x -2))) (*.f64 (*.f64 x 1/2) (*.f64 x (pow.f64 x -2)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 1) |
(/.f64 1 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))) |
(/.f64 1 (*.f64 (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (neg.f64 (neg.f64 x)))) |
(/.f64 x (/.f64 (*.f64 x x) (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))) |
(/.f64 (/.f64 1 x) (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))) |
(/.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) |
(/.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) (*.f64 (neg.f64 x) (neg.f64 x))) |
(/.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (/.f64 x (*.f64 x (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))) |
(/.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))) |
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (pow.f64 x -1/2))) |
(/.f64 (pow.f64 x -1/2) (/.f64 x (/.f64 (*.f64 x x) (/.f64 (sqrt.f64 x) (fma.f64 -1/24 (*.f64 x x) 1/2))))) |
(/.f64 (pow.f64 x -1/2) (*.f64 (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (sqrt.f64 x))) |
(/.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) (/.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))) |
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 x) (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))) |
(/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (cbrt.f64 (pow.f64 x -2)))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (/.f64 1 (cbrt.f64 x)))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (/.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (/.f64 (cbrt.f64 x) (*.f64 x x))))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (cbrt.f64 x))) |
(/.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) 2) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))))) |
(/.f64 (*.f64 x (cbrt.f64 x)) (/.f64 (*.f64 x x) (*.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 x x) (*.f64 (cbrt.f64 x) (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))))) |
(/.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) x) |
(/.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) (/.f64 (*.f64 x x) x)) |
(/.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) (neg.f64 (neg.f64 x))) |
(/.f64 -1 (/.f64 (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (/.f64 -1 x))) |
(/.f64 -1 (*.f64 (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (neg.f64 x))) |
(/.f64 (/.f64 -1 x) (/.f64 (neg.f64 x) (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)))) |
(/.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (sqrt.f64 (neg.f64 x)))) |
(/.f64 (sqrt.f64 (/.f64 1 (*.f64 x (cbrt.f64 x)))) (/.f64 (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (sqrt.f64 (cbrt.f64 (pow.f64 x -2))))) |
(/.f64 (sqrt.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (/.f64 x (sqrt.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (cbrt.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))) (/.f64 x (cbrt.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))))) |
(/.f64 (/.f64 x x) (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))) |
(/.f64 (/.f64 (*.f64 x x) x) (/.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) |
(/.f64 (/.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) x) (*.f64 x (pow.f64 x -2))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) 2) x) (/.f64 x (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))))) |
(/.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) |
(/.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) |
(/.f64 (*.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.f64 x (cbrt.f64 x))) (*.f64 (*.f64 x x) (cbrt.f64 (pow.f64 x -2)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) (/.f64 1 (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (*.f64 x x) (/.f64 (sqrt.f64 x) (fma.f64 -1/24 (*.f64 x x) 1/2))) (*.f64 x (sqrt.f64 x))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) (cbrt.f64 (pow.f64 x -2))) (*.f64 x (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) -1) (*.f64 x (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) -1) (neg.f64 (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) (sqrt.f64 x)) (/.f64 x (/.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) (sqrt.f64 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x (*.f64 x -1/24))) 1/4) (-.f64 (*.f64 x (*.f64 x -1/24)) 1/2)) |
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x (*.f64 x -1/24))) (-.f64 1/4 (*.f64 1/2 (*.f64 x (*.f64 x -1/24)))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (neg.f64 x)) |
(/.f64 (pow.f64 (sqrt.f64 x) -1) (/.f64 (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (pow.f64 (sqrt.f64 x) -1))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (/.f64 (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (pow.f64 (cbrt.f64 x) -1))) |
(/.f64 (*.f64 1 (*.f64 (pow.f64 x -2) (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))) (/.f64 1 x)) |
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 x -2) (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))) (pow.f64 x -1/2)) |
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(/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) (*.f64 x x)) |
(/.f64 (*.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (sqrt.f64 x)) (/.f64 (pow.f64 x -1/2) x)) |
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (pow.f64 x -1/2)) |
(/.f64 (*.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (/.f64 1 (cbrt.f64 x))) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) -1) |
(/.f64 (*.f64 (neg.f64 x) (fma.f64 -1/24 (*.f64 x x) 1/2)) (/.f64 -1 x)) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (fma.f64 -1/24 (*.f64 x x) 1/2)) (pow.f64 x -1/2)) |
(/.f64 (*.f64 (/.f64 x (cbrt.f64 (pow.f64 x -2))) (fma.f64 -1/24 (*.f64 x x) 1/2)) (/.f64 1 (cbrt.f64 x))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) (*.f64 x x)) x) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) (neg.f64 x)) (*.f64 x x)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) (sqrt.f64 x)) (*.f64 x x)) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x x)) (cbrt.f64 x)) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x (*.f64 x -1/24))) 1/4) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x -1/24)) 1/2)) |
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x (*.f64 x -1/24))) (-.f64 1/4 (*.f64 1/2 (*.f64 x (*.f64 x -1/24)))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (*.f64 x x)) (neg.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) (sqrt.f64 x)) |
(pow.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) 3) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 2) (pow.f64 x 4))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 -1/24 (*.f64 x x) 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3) (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)))) |
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 x (*.f64 1/2 x)) |
(*.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 -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 -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 -1/24 (pow.f64 x 4)) |
(+.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 -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 -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 -1/24 (pow.f64 x 4)) |
(+.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 -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 -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 1/2 (*.f64 x (*.f64 x -1/24))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 (*.f64 x (*.f64 x -1/24)) 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 (*.f64 (pow.f64 x -2) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24)))) (*.f64 (pow.f64 x -2) (/.f64 1/2 (pow.f64 x -2)))) |
(*.f64 (pow.f64 x -2) (fma.f64 (*.f64 x x) (*.f64 -1/24 (*.f64 x x)) (/.f64 1/2 (pow.f64 x -2)))) |
(fma.f64 x (*.f64 -1/24 x) (*.f64 (pow.f64 x -2) (/.f64 1/2 (pow.f64 x -2)))) |
(+.f64 (*.f64 (*.f64 x (pow.f64 x -2)) (*.f64 x (*.f64 x (*.f64 x -1/24)))) (*.f64 (*.f64 x (pow.f64 x -2)) (*.f64 x 1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24))) (pow.f64 x -2)) (*.f64 (/.f64 1/2 (pow.f64 x -2)) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (fma.f64 (*.f64 x x) (*.f64 -1/24 (*.f64 x x)) (/.f64 1/2 (pow.f64 x -2)))) |
(fma.f64 x (*.f64 -1/24 x) (*.f64 (pow.f64 x -2) (/.f64 1/2 (pow.f64 x -2)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x -1/24))) (*.f64 x (pow.f64 x -2))) (*.f64 (*.f64 x 1/2) (*.f64 x (pow.f64 x -2)))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 1) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 1 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 1 (*.f64 (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (neg.f64 (neg.f64 x)))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 x (/.f64 (*.f64 x x) (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (/.f64 1 x) (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) (*.f64 x x)) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) (*.f64 (neg.f64 x) (neg.f64 x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (/.f64 x (*.f64 x (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (pow.f64 x -1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (pow.f64 x -1/2) (/.f64 x (/.f64 (*.f64 x x) (/.f64 (sqrt.f64 x) (fma.f64 -1/24 (*.f64 x x) 1/2))))) |
(*.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 x)) (fma.f64 -1/24 (*.f64 x x) 1/2)) (/.f64 (pow.f64 x -1/2) x)) |
(/.f64 (*.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (pow.f64 x 1/2)) (sqrt.f64 x)) |
(/.f64 (pow.f64 x -1/2) (*.f64 (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (sqrt.f64 x))) |
(*.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 x)) (fma.f64 -1/24 (*.f64 x x) 1/2)) (/.f64 (pow.f64 x -1/2) x)) |
(/.f64 (*.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (pow.f64 x 1/2)) (sqrt.f64 x)) |
(/.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) (/.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 x) (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) (*.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 x) (/.f64 x (*.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (sqrt.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (/.f64 1 x) (fma.f64 -1/24 (*.f64 x x) 1/2))) (cbrt.f64 (pow.f64 x -2))) |
(/.f64 1 (/.f64 (/.f64 (cbrt.f64 x) (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (cbrt.f64 (pow.f64 x -2)))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (fma.f64 -1/24 (*.f64 x x) 1/2))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (/.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (/.f64 (cbrt.f64 x) (*.f64 x x))))) |
(*.f64 (*.f64 (/.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (cbrt.f64 x)) (*.f64 x x)) (/.f64 (cbrt.f64 (pow.f64 x -2)) x)) |
(*.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (cbrt.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x -2)) x)) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (fma.f64 -1/24 (*.f64 x x) 1/2))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x))) |
(/.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) 2) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (*.f64 x (cbrt.f64 x)) (/.f64 (*.f64 x x) (*.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (pow.f64 (cbrt.f64 x) 2)))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 x x) (*.f64 (cbrt.f64 x) (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x x)) (*.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.f64 x (cbrt.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) (cbrt.f64 x))) |
(/.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) x) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) (/.f64 (*.f64 x x) x)) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) (neg.f64 (neg.f64 x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 -1 (/.f64 (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (/.f64 -1 x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 -1 (*.f64 (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (neg.f64 x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (/.f64 -1 x) (/.f64 (neg.f64 x) (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (sqrt.f64 (neg.f64 x)))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 (/.f64 1 x) (fma.f64 -1/24 (*.f64 x x) 1/2))) (sqrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (sqrt.f64 (neg.f64 x))) (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) |
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(pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 3) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3) 1/3) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(sqrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 2)) |
(fabs.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(log.f64 (exp.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3)) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) 3) (pow.f64 (pow.f64 x -2) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) 3) (pow.f64 (pow.f64 x -2) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3) (*.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x -2) 3)))) |
(expm1.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(exp.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(log1p.f64 (expm1.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 (/.f64 1/2 (pow.f64 x -2)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24)))) |
(fma.f64 (*.f64 x x) (*.f64 -1/24 (*.f64 x x)) (/.f64 1/2 (pow.f64 x -2))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (/.f64 1/2 (pow.f64 x -2))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24))) (/.f64 1/2 (pow.f64 x -2))) |
(fma.f64 (*.f64 x x) (*.f64 -1/24 (*.f64 x x)) (/.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 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24)))) (*.f64 1 (/.f64 1/2 (pow.f64 x -2)))) |
(fma.f64 (*.f64 x x) (*.f64 -1/24 (*.f64 x x)) (/.f64 1/2 (pow.f64 x -2))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (/.f64 1/2 (pow.f64 x -2))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x -1/24)))) (*.f64 x (*.f64 x 1/2))) |
(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 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24))) 1) (*.f64 (/.f64 1/2 (pow.f64 x -2)) 1)) |
(fma.f64 (*.f64 x x) (*.f64 -1/24 (*.f64 x x)) (/.f64 1/2 (pow.f64 x -2))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (/.f64 1/2 (pow.f64 x -2))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x -1/24))) x) (*.f64 (*.f64 x 1/2) x)) |
(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 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)))) 1) |
(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 x x) (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))) |
(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 (fma.f64 -1/24 (*.f64 x x) 1/2) (pow.f64 x -2)) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) 1) |
(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 x (fma.f64 -1/24 (*.f64 x x) 1/2)) (/.f64 1 x)) |
(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 (*.f64 x x) x) (/.f64 1 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))) |
(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 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) (*.f64 x x)) |
(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 (fma.f64 -1/24 (*.f64 x x) 1/2) (sqrt.f64 x)) (/.f64 (pow.f64 x -1/2) x)) |
(/.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (/.f64 (/.f64 (pow.f64 x -1/2) x) (sqrt.f64 x))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 x)) (pow.f64 x -1/2)) (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (pow.f64 x -1/2)) |
(/.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (/.f64 (/.f64 (pow.f64 x -1/2) x) (sqrt.f64 x))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 x)) (pow.f64 x -1/2)) (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(/.f64 (*.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(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 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (/.f64 1 (cbrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))) |
(*.f64 (cbrt.f64 x) (*.f64 x (*.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) -1) |
(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 (neg.f64 x) (fma.f64 -1/24 (*.f64 x x) 1/2)) (/.f64 -1 x)) |
(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 (*.f64 x (sqrt.f64 x)) (fma.f64 -1/24 (*.f64 x x) 1/2)) (pow.f64 x -1/2)) |
(/.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (/.f64 (/.f64 (pow.f64 x -1/2) x) (sqrt.f64 x))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 x)) (pow.f64 x -1/2)) (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(/.f64 (*.f64 (/.f64 x (cbrt.f64 (pow.f64 x -2))) (fma.f64 -1/24 (*.f64 x x) 1/2)) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 (*.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (/.f64 x (cbrt.f64 (pow.f64 x -2)))) 1) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (*.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (/.f64 x (cbrt.f64 (pow.f64 x -2))))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) (*.f64 x x)) x) |
(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 (/.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) (neg.f64 x)) (*.f64 x x)) (neg.f64 x)) |
(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 (/.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) (sqrt.f64 x)) (*.f64 x x)) (sqrt.f64 x)) |
(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 (/.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x x)) (cbrt.f64 x)) |
(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 (-.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x (*.f64 x -1/24))) 1/4) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x -1/24)) 1/2)) |
(/.f64 (fma.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 -1/24 (*.f64 x x)) -1/4) (/.f64 (fma.f64 x (*.f64 -1/24 x) -1/2) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) -1/4) (fma.f64 -1/24 (*.f64 x x) -1/2)) (*.f64 x x)) |
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x (*.f64 x -1/24))) (-.f64 1/4 (*.f64 1/2 (*.f64 x (*.f64 x -1/24)))))) |
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) (/.f64 (fma.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 -1/24 (*.f64 x x)) (-.f64 1/4 (*.f64 (*.f64 1/2 x) (*.f64 -1/24 x)))) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 1/8 (*.f64 (pow.f64 x 6) -1/13824)) (+.f64 (*.f64 (pow.f64 x 4) 1/576) (-.f64 1/4 (*.f64 (*.f64 x x) -1/48)))) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (*.f64 x x)) (neg.f64 x)) |
(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 (sqrt.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) (sqrt.f64 x)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (*.f64 x x)) (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))) (sqrt.f64 x)) (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) |
(pow.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) 1) |
(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)) |
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2) |
(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)) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) 3) |
(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)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) 3) 1/3) |
(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)) |
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 2) (pow.f64 x 4))) |
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 2))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 -1/24 (*.f64 x x) 1/2))) |
(*.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (log.f64 (pow.f64 (exp.f64 x) x))) |
(*.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.f64 x (log.f64 (exp.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))))) |
(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)) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) 3)) |
(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)) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3) (pow.f64 (*.f64 x x) 3))) |
(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)) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)))) |
(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)) |
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)))) |
(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)) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)))) |
(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)) |
Compiled 30411 to 18169 computations (40.3% saved)
25 alts after pruning (15 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1465 | 6 | 1471 |
| Fresh | 5 | 9 | 14 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 9 | 11 |
| Total | 1472 | 25 | 1497 |
| Status | Error | Program |
|---|---|---|
| 46.12% | (/.f64 (pow.f64 x -2) (/.f64 1 (-.f64 1 (cos.f64 x)))) | |
| 47.13% | (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x) | |
| ✓ | 45.4% | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
| ✓ | 0.25% | (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
| ✓ | 45.57% | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
| 45.53% | (/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x))) x) | |
| ✓ | 47.01% | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 45.57% | (/.f64 (*.f64 (/.f64 1 x) (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x)) x) | |
| 22.05% | (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))) | |
| 70.4% | (/.f64 6 (*.f64 x x)) | |
| 46.99% | (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) | |
| 46.38% | (/.f64 1 (/.f64 (neg.f64 x) (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))))) | |
| 69.46% | (/.f64 1 (+.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) (*.f64 x (*.f64 x 1/6)))) | |
| 48.69% | (/.f64 1 (*.f64 (*.f64 x x) (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x))))) | |
| ✓ | 47.01% | (/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x))))) |
| ✓ | 46.2% | (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x)))) |
| 47.25% | (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| ✓ | 52.81% | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| ✓ | 46.08% | (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) |
| ✓ | 74.19% | (*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) |
| 45.41% | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) | |
| ✓ | 22.14% | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
| 50.3% | (*.f64 (/.f64 1/2 x) (sin.f64 x)) | |
| 70.53% | (*.f64 6 (pow.f64 x -2)) | |
| 51.12% | 1/2 |
Compiled 287 to 196 computations (31.7% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) x) |
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 1/2 x) x)) |
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 (/.f64 2 x) x))) |
(/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x)))) |
(/.f64 1 (+.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) (*.f64 x (*.f64 x 1/6)))) |
(*.f64 6 (pow.f64 x -2)) |
(*.f64 (/.f64 1/2 x) (sin.f64 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 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x))) x) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x) |
(/.f64 1 (/.f64 (neg.f64 x) (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x) |
(/.f64 (*.f64 (/.f64 1 x) (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x)) x) |
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) |
(/.f64 1 (*.f64 (*.f64 x x) (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x))))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x -2) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(/.f64 (expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))) (sin.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.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))))) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) |
(/.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2))) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
| Outputs |
|---|
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
2 calls:
| 25.0ms | x |
| 8.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.25% | 1 | x |
| 0.25% | 1 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 589 to 329 computations (44.1% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) x) |
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 1/2 x) x)) |
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 (/.f64 2 x) x))) |
(/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x)))) |
(/.f64 1 (+.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) (*.f64 x (*.f64 x 1/6)))) |
(*.f64 6 (pow.f64 x -2)) |
(*.f64 (/.f64 1/2 x) (sin.f64 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 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x))) x) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x) |
(/.f64 1 (/.f64 (neg.f64 x) (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x) |
(/.f64 (*.f64 (/.f64 1 x) (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x)) x) |
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) |
(/.f64 1 (*.f64 (*.f64 x x) (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x))))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x -2) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
2 calls:
| 45.0ms | x |
| 12.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.58% | 3 | x |
| 1.5% | 2 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 376 to 208 computations (44.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.0006078777629778142 | 1755.3225421405514 |
| 2.0ms | -0.01358648797606551 | -9.628258342532e-17 |
| 20.0ms | 160× | body | 256 | valid |
Compiled 206 to 160 computations (22.3% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) x) |
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 1/2 x) x)) |
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 (/.f64 2 x) x))) |
(/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x)))) |
(/.f64 1 (+.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) (*.f64 x (*.f64 x 1/6)))) |
(*.f64 6 (pow.f64 x -2)) |
(*.f64 (/.f64 1/2 x) (sin.f64 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 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x))) x) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x) |
(/.f64 1 (/.f64 (neg.f64 x) (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x) |
(/.f64 (*.f64 (/.f64 1 x) (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x)) x) |
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) |
(/.f64 1 (*.f64 (*.f64 x x) (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x))))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x -2) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
2 calls:
| 41.0ms | x |
| 15.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.62% | 3 | x |
| 2.48% | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 332 to 188 computations (43.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.0006078777629778142 | 1755.3225421405514 |
| 22.0ms | -0.01358648797606551 | -9.628258342532e-17 |
| 36.0ms | 304× | body | 256 | valid |
Compiled 394 to 304 computations (22.8% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) x) |
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 1/2 x) x)) |
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 (/.f64 2 x) x))) |
(/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x)))) |
(/.f64 1 (+.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) (*.f64 x (*.f64 x 1/6)))) |
(*.f64 6 (pow.f64 x -2)) |
(*.f64 (/.f64 1/2 x) (sin.f64 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 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x))) x) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x) |
(/.f64 1 (/.f64 (neg.f64 x) (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x) |
(/.f64 (*.f64 (/.f64 1 x) (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x)) x) |
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) |
(/.f64 1 (*.f64 (*.f64 x x) (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x))))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
2 calls:
| 35.0ms | x |
| 13.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.63% | 3 | x |
| 2.48% | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 304 to 170 computations (44.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.0006078777629778142 | 1755.3225421405514 |
| 22.0ms | -0.01358648797606551 | -9.628258342532e-17 |
| 35.0ms | 304× | body | 256 | valid |
Compiled 394 to 295 computations (25.1% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) x) |
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 1/2 x) x)) |
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 (/.f64 2 x) x))) |
(/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x)))) |
(/.f64 1 (+.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) (*.f64 x (*.f64 x 1/6)))) |
(*.f64 6 (pow.f64 x -2)) |
(*.f64 (/.f64 1/2 x) (sin.f64 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:
| 21.0ms | x |
| 9.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.64% | 3 | x |
| 2.48% | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 130 to 78 computations (40% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.0006078777629778142 | 1755.3225421405514 |
| 21.0ms | -0.01358648797606551 | -9.628258342532e-17 |
| 35.0ms | 304× | body | 256 | valid |
Compiled 374 to 275 computations (26.5% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) x) |
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 1/2 x) x)) |
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 (/.f64 2 x) x))) |
(/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x)))) |
(/.f64 1 (+.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) (*.f64 x (*.f64 x 1/6)))) |
(*.f64 6 (pow.f64 x -2)) |
(*.f64 (/.f64 1/2 x) (sin.f64 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:
| 19.0ms | x |
| 9.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 1.6% | 3 | x |
| 2.49% | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 112 to 69 computations (38.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.0006078777629778142 | 1755.3225421405514 |
| 21.0ms | -0.01358648797606551 | -9.628258342532e-17 |
| 35.0ms | 304× | body | 256 | valid |
Compiled 374 to 275 computations (26.5% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) x) |
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 1/2 x) x)) |
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 (/.f64 2 x) x))) |
(/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x)))) |
(/.f64 1 (+.f64 (/.f64 (*.f64 x x) (/.f64 x (/.f64 2 x))) (*.f64 x (*.f64 x 1/6)))) |
(*.f64 6 (pow.f64 x -2)) |
(*.f64 (/.f64 1/2 x) (sin.f64 x)) |
| Outputs |
|---|
(/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x)))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x)))) |
1 calls:
| 19.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 24.99% | 3 | x |
Compiled 95 to 59 computations (37.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.0006078777629778142 | 1755.3225421405514 |
| 17.0ms | -15.110089974270094 | -0.01358648797606551 |
| 31.0ms | 272× | body | 256 | valid |
Compiled 421 to 315 computations (25.2% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) x) |
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 1/2 x) x)) |
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 (/.f64 2 x) x))) |
| Outputs |
|---|
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 6 (*.f64 x x)) |
1 calls:
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 24.99% | 3 | x |
Compiled 54 to 33 computations (38.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.0006078777629778142 | 1755.3225421405514 |
| 16.0ms | -15.110089974270094 | -0.01358648797606551 |
| 31.0ms | 272× | body | 256 | valid |
Compiled 285 to 213 computations (25.3% saved)
Total -45.4b remaining (-281.1%)
Threshold costs -45.4b (-281.1%)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
| Outputs |
|---|
(/.f64 6 (*.f64 x x)) |
1/2 |
(/.f64 6 (*.f64 x x)) |
1 calls:
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 25.26% | 3 | x |
Compiled 16 to 11 computations (31.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.0006078777629778142 | 1755.3225421405514 |
| 17.0ms | -15.110089974270094 | -0.01358648797606551 |
| 32.0ms | 272× | body | 256 | valid |
Compiled 183 to 145 computations (20.8% saved)
| 1× | egg-herbie |
| 14× | *-commutative |
| 10× | if-if-or-not |
| 8× | +-commutative |
| 4× | sub-neg |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 616 |
| 1 | 99 | 616 |
| 2 | 103 | 616 |
| 3 | 105 | 616 |
| 4 | 106 | 616 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
(if (<=.f64 x -5764607523034235/576460752303423488) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(if (<=.f64 x -1498797955988901/288230376151711744) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(if (<=.f64 x -1498797955988901/288230376151711744) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(if (<=.f64 x -2) (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x)))) (if (<=.f64 x 2) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x)))))) |
(if (<=.f64 x -3602879701896397/1125899906842624) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3715469692580659/1125899906842624) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 6 (*.f64 x x)))) |
(if (<=.f64 x -3884354678607053/1125899906842624) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 7656119366529843/2251799813685248) 1/2 (/.f64 6 (*.f64 x x)))) |
1/2 |
| Outputs |
|---|
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
(if (<=.f64 x -5764607523034235/576460752303423488) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(if (<=.f64 x -5764607523034235/576460752303423488) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 (*.f64 x x) -1/24)) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(if (<=.f64 x -1498797955988901/288230376151711744) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(if (<=.f64 x -1498797955988901/288230376151711744) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 (*.f64 x x) -1/24)) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(if (<=.f64 x -1498797955988901/288230376151711744) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -1498797955988901/288230376151711744) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 (*.f64 x x) -1/24)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (or (<=.f64 x -1498797955988901/288230376151711744) (not (<=.f64 x 5534023222112865/1152921504606846976))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (+.f64 1/2 (*.f64 (*.f64 x x) -1/24))) |
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(if (or (<=.f64 x -1498797955988901/288230376151711744) (not (<=.f64 x 5534023222112865/1152921504606846976))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (+.f64 1/2 (*.f64 (*.f64 x x) -1/24))) |
(if (<=.f64 x -2) (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x)))) (if (<=.f64 x 2) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x)))))) |
(if (or (<=.f64 x -2) (not (<=.f64 x 2))) (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 (/.f64 2 x) x)))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/24))) |
(if (<=.f64 x -3602879701896397/1125899906842624) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3715469692580659/1125899906842624) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 6 (*.f64 x x)))) |
(if (or (<=.f64 x -3602879701896397/1125899906842624) (not (<=.f64 x 3715469692580659/1125899906842624))) (/.f64 6 (*.f64 x x)) (+.f64 1/2 (*.f64 (*.f64 x x) -1/24))) |
(if (<=.f64 x -3884354678607053/1125899906842624) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 7656119366529843/2251799813685248) 1/2 (/.f64 6 (*.f64 x x)))) |
(if (or (<=.f64 x -3884354678607053/1125899906842624) (not (<=.f64 x 7656119366529843/2251799813685248))) (/.f64 6 (*.f64 x x)) 1/2) |
1/2 |
Compiled 235 to 164 computations (30.2% 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 226 to 143 computations (36.7% saved)
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