Time bar (total: 12.6s)
| 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)
| 1.5s | 2103× | body | 2048 | valid |
| 570.0ms | 1124× | body | 1024 | valid |
| 425.0ms | 3346× | body | 256 | valid |
| 388.0ms | 1587× | body | 512 | valid |
| 60.0ms | 96× | body | 4096 | valid |
| 2× | egg-herbie |
| 416× | fma-def |
| 224× | associate-*r* |
| 212× | associate-+l- |
| 204× | associate-/r* |
| 182× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 18 | 23 |
| 2 | 29 | 23 |
| 3 | 43 | 23 |
| 4 | 77 | 23 |
| 5 | 130 | 23 |
| 6 | 197 | 23 |
| 7 | 347 | 23 |
| 8 | 698 | 23 |
| 9 | 1261 | 23 |
| 10 | 1950 | 23 |
| 11 | 2090 | 23 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
| 416× | fma-def |
| 224× | associate-*r* |
| 212× | associate-+l- |
| 204× | associate-/r* |
| 182× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 18 | 23 |
| 2 | 29 | 23 |
| 3 | 43 | 23 |
| 4 | 77 | 23 |
| 5 | 130 | 23 |
| 6 | 197 | 23 |
| 7 | 347 | 23 |
| 8 | 698 | 23 |
| 9 | 1261 | 23 |
| 10 | 1950 | 23 |
| 11 | 2090 | 23 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 9 to 6 computations (33.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 33.3b | (/.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 |
|---|---|---|
| ✓ | 2.2b | (-.f64 1 (cos.f64 x)) |
| ✓ | 16.0b | (/.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 neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.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 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)))))))) |
((#(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 |
| 1634× | associate-/r/ |
| 558× | div-sub |
| 432× | associate-/l* |
| 410× | associate-+r+ |
| 378× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 322 | 5281 |
| 1 | 893 | 5073 |
| 2 | 3879 | 5023 |
| 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)) (*.f64 x x)))) 1) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 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)) (*.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 (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)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.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)) (*.f64 x x)))) |
(*.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)) (*.f64 x x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 x (-.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)) (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(+.f64 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 -1/24 (*.f64 x x)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(*.f64 (*.f64 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)) (*.f64 x x)))) 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)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 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)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 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)) (*.f64 x x))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (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 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 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 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (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)))) |
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(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
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(-.f64 1 (cos.f64 x)) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
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(/.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 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 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (-.f64 -1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 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 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 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (-.f64 -1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 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 (fma.f64 (cos.f64 x) (cos.f64 x) (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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(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)) |
(fabs.f64 (-.f64 1 (cos.f64 x))) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(-.f64 1 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(-.f64 1 (cos.f64 x)) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
Compiled 4193 to 2155 computations (48.6% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 192 | 14 | 206 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 192 | 15 | 207 |
| Status | Error | Program |
|---|---|---|
| ▶ | 32.8b | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
| 33.5b | (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3) | |
| 16.8b | (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (*.f64 x x)) | |
| 33.3b | (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) | |
| ✓ | 33.3b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| ▶ | 33.4b | (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
| ▶ | 16.3b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 33.3b | (/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) | |
| ▶ | 30.2b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 32.9b | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) | |
| 32.4b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) | |
| 16.7b | (*.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)))) | |
| ▶ | 33.4b | (*.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
| 33.3b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) | |
| 29.4b | 1/2 |
Compiled 369 to 264 computations (28.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| ✓ | 15.8b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
Compiled 33 to 18 computations (45.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| 0.0ms | x | @ | -inf | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| 1× | batch-egg-rewrite |
| 960× | unswap-sqr |
| 834× | swap-sqr |
| 410× | sqr-pow |
| 408× | pow-sqr |
| 382× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 54 |
| 1 | 239 | 54 |
| 2 | 3327 | 54 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| Outputs |
|---|
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x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 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 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 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 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (neg.f64 (sin.f64 x))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 3) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x 2))) (cos.f64 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (/.f64 x 2)) (sin.f64 x)) (cos.f64 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 (/.f64 x 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 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (/.f64 x 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 (/.f64 x 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 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))))))) |
| 1× | egg-herbie |
| 1736× | associate-/r* |
| 1436× | associate-/l/ |
| 912× | associate-/r/ |
| 858× | distribute-rgt-in |
| 852× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 285 | 5208 |
| 1 | 758 | 4954 |
| 2 | 3210 | 4954 |
| 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 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2)))) |
(*.f64 (tan.f64 (/.f64 x 2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (pow.f64 x -2)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) 1) |
(*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (pow.f64 x -2))) |
(*.f64 (*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) x)) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (tan.f64 (/.f64 x 2)) (neg.f64 (sin.f64 x))) (/.f64 1 (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 4)) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(*.f64 (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2))) (sin.f64 x)) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (*.f64 (tan.f64 (/.f64 x 2)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 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 2)))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (*.f64 x x)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 2) x) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 2) (pow.f64 (cbrt.f64 x) 4)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (neg.f64 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) 1)) (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 (/.f64 x 2))))) (sqrt.f64 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2))) (cbrt.f64 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))))) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (/.f64 (tan.f64 (/.f64 x 2)) x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (/.f64 (tan.f64 (/.f64 x 2)) x))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 2) (*.f64 x x)) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) 3/2) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) 3) 1/6)) |
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (/.f64 x 2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (/.f64 x 2))) -1/2)) |
(pow.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (/.f64 x 2))) -1) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x (neg.f64 x)))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x (neg.f64 x))) 1)) |
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (/.f64 1 (*.f64 x (neg.f64 x))))) |
(neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x (neg.f64 x))))) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (/.f64 x 2))))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (neg.f64 (sin.f64 x))) (*.f64 x x))) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2))) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 3) (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) 1) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 1) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x 2))) (cos.f64 (/.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x 2)) (sin.f64 x)) (cos.f64 (/.f64 x 2))) |
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 3) 1/3) |
(neg.f64 (*.f64 (tan.f64 (/.f64 x 2)) (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (/.f64 x 2)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 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 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) 1) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (/.f64 x 2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (pow.f64 x -2)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) 1) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4))))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x)) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 (/.f64 x 2))))))) |
(*.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 x 2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) 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 2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 (/.f64 x 2))))))) |
(*.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 x 2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) 3/2) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) 3/2)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) 3) 1/6)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (/.f64 x 2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (/.f64 x 2))) -1/2)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(pow.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) 1) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 2) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) 3) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) 3) 1/3) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (/.f64 x 2))) -1) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x (neg.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x (neg.f64 x))) 1)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (/.f64 1 (*.f64 x (neg.f64 x))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x (neg.f64 x))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (/.f64 x 2))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (neg.f64 (sin.f64 x))) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4)) |
(fabs.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2))) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) 3)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 3) (pow.f64 x 6))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) 1)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) 1) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 1) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x 2))) (cos.f64 (/.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))) |
(/.f64 (sin.f64 (/.f64 x 2)) (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 (/.f64 x 2)) (sin.f64 x)) (cos.f64 (/.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))) |
(/.f64 (sin.f64 (/.f64 x 2)) (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))) (sin.f64 x)) |
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 1) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 2) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 3) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 3) 1/3) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(neg.f64 (*.f64 (tan.f64 (/.f64 x 2)) (neg.f64 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2)))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 3)) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (/.f64 x 2)) 3))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3) (pow.f64 (sin.f64 x) 3))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 1)) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (*.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 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (-.f64 1 (+.f64 1 (cos.f64 x))) |
| ✓ | 0.4b | (+.f64 1 (cos.f64 x)) |
| ✓ | 2.2b | (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
| ✓ | 16.0b | (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
Compiled 38 to 23 computations (39.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 1 (cos.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (-.f64 1 (+.f64 1 (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1732× | associate-/r* |
| 1178× | associate-/l* |
| 646× | associate-/r/ |
| 538× | associate-/l/ |
| 350× | associate-+r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 68 |
| 1 | 249 | 54 |
| 2 | 3645 | 54 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(+.f64 1 (cos.f64 x)) |
(-.f64 1 (+.f64 1 (cos.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) x) (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (*.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 1) (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (*.f64 x x)) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 2) x) (/.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 2) (*.f64 x x)) (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 2))) (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) -1) (pow.f64 x -2)) (+.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) -1)) (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) -1) (pow.f64 x -2)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) -1) (pow.f64 x -2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) -1) (pow.f64 x -2)) (-.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 3) 1)) (+.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 3)) (pow.f64 x -2)) (-.f64 (*.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2)) (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (-.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 3)) (pow.f64 x -2)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) 3))) (+.f64 (*.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2)) (-.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) (+.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)))))))) |
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1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) 1) (+.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (sqrt.f64 (+.f64 (cos.f64 x) 2))) (sqrt.f64 (+.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2)) (cbrt.f64 (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) 1) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (+.f64 1 (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (+.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 neg.f64 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (+.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 (log.f64 (-.f64 1 (+.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 1 (+.f64 1 (cos.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (+.f64 1 (cos.f64 x))))))))) |
| 1× | egg-herbie |
| 1522× | associate-*r* |
| 1338× | associate-*l* |
| 1070× | associate-/r* |
| 936× | associate-*r/ |
| 764× | associate-*l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 808 | 15082 |
| 1 | 2675 | 14612 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) 1) |
-1 |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) 1) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) 1) |
(*.f64 -1 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)))) 1) |
(*.f64 1 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))) |
(*.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (pow.f64 x -2)) |
(*.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) 1) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) x) (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) x)) |
(*.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (*.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (pow.f64 x -2))) |
(*.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 (/.f64 1 x) (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 1) (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (*.f64 x x)) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 2) x) (/.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 2) (*.f64 x x)) (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 2))) (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) -1) (pow.f64 x -2)) (+.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) -1)) (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) -1) (pow.f64 x -2)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) -1) (pow.f64 x -2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) -1) (pow.f64 x -2)) (-.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 3) 1)) (+.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 3)) (pow.f64 x -2)) (-.f64 (*.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2)) (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (-.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 3)) (pow.f64 x -2)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) 3))) (+.f64 (*.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2)) (-.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) (+.f64 1 (cos.f64 x)))))) |
(pow.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 x (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) x) -1) |
(neg.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (neg.f64 (*.f64 x x)))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) 3) (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) -1) |
(-.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) 0) |
(-.f64 0 (+.f64 (cos.f64 x) -1)) |
(-.f64 3 (+.f64 (cos.f64 x) 2)) |
(-.f64 2 (+.f64 1 (cos.f64 x))) |
(-.f64 (exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) 1) |
(-.f64 (/.f64 1 (+.f64 (cos.f64 x) 2)) (-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 (cos.f64 x) 2)) 1)) |
(-.f64 (/.f64 1 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) 1)) |
(-.f64 (/.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) (-.f64 -1 (cos.f64 x))) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(-.f64 (-.f64 2 (cos.f64 x)) 1) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 (cos.f64 x) 2))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(*.f64 1 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) |
(*.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) 1) |
(*.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1))) |
(*.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 2) (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1))) |
(*.f64 (+.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) -1) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (+.f64 1 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 3)) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2)))) |
(*.f64 (/.f64 1 (-.f64 -1 (cos.f64 x))) (+.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) -1)) |
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(/.f64 (-.f64 0 (pow.f64 (cos.f64 x) 3)) (+.f64 0 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 0 (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) 3)) (*.f64 (+.f64 (cos.f64 x) 2) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) 3)) (*.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (*.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (neg.f64 (+.f64 (cos.f64 x) 2))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (+.f64 (cos.f64 x) 2)) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (+.f64 (cos.f64 x) 2))) (sqrt.f64 (+.f64 (cos.f64 x) 2))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2)) (cbrt.f64 (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 (cos.f64 x) 2))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) 1) (+.f64 (cos.f64 x) 2)) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (sqrt.f64 (+.f64 (cos.f64 x) 2))) (sqrt.f64 (+.f64 (cos.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2)) (cbrt.f64 (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 (cos.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) 1) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (+.f64 1 (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (+.f64 1 (cos.f64 x)))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 3) 1/3) |
(neg.f64 (cos.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 1 (+.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 (log.f64 (-.f64 1 (+.f64 1 (cos.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 1 (+.f64 1 (cos.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 1 (+.f64 1 (cos.f64 x))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (*.f64 (*.f64 -1/24 x) x)) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 1/2 (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 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 2 (*.f64 -1/2 (*.f64 x x))) |
(+.f64 2 (*.f64 (*.f64 -1/2 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))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/720)))) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
-1 |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) |
(fma.f64 1/2 (*.f64 x x) -1) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) 1) |
(+.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) -1) |
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/2 (*.f64 x x) -1)) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) 1) |
(+.f64 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) -1) |
(+.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))) (fma.f64 1/2 (*.f64 x x) -1)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 1 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) x) (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (*.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x))) |
(*.f64 (/.f64 1 x) (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (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))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 1) (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (*.f64 x x)) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) (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))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 2) x) (/.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 2) (*.f64 x x)) (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) 2))) (cbrt.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) -1) (pow.f64 x -2)) (+.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) -1)) (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) -1) (pow.f64 x -2)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)) |
(/.f64 (*.f64 (*.f64 (pow.f64 x -2) (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 2))) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) -1) (pow.f64 x -2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (/.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -2))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (/.f64 (-.f64 -1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) -1) (pow.f64 x -2)) (-.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 3) 1)) (+.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (/.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) -1) (pow.f64 x -2))) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (/.f64 (-.f64 -1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2))) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 3)) (pow.f64 x -2)) (-.f64 (*.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2)) (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (-.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2) (+.f64 1 (cos.f64 x)))) |
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(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 2 (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (+.f64 (cos.f64 x) 2))) (sqrt.f64 (+.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (*.f64 (sqrt.f64 (+.f64 2 (cos.f64 x))) (sqrt.f64 (+.f64 2 (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2)) (cbrt.f64 (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 2 (cos.f64 x))) (*.f64 (cbrt.f64 (+.f64 2 (cos.f64 x))) (cbrt.f64 (+.f64 2 (cos.f64 x)))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) 1) (+.f64 (cos.f64 x) 2)) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 2 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (sqrt.f64 (+.f64 (cos.f64 x) 2))) (sqrt.f64 (+.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (*.f64 (sqrt.f64 (+.f64 2 (cos.f64 x))) (sqrt.f64 (+.f64 2 (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2)) (cbrt.f64 (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 2 (cos.f64 x))) (*.f64 (cbrt.f64 (+.f64 2 (cos.f64 x))) (cbrt.f64 (+.f64 2 (cos.f64 x)))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) 1) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))) |
(pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(neg.f64 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 1 (+.f64 1 (cos.f64 x)))) 2) |
(neg.f64 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 1 (+.f64 1 (cos.f64 x)))) 3) |
(neg.f64 (cos.f64 x)) |
(pow.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 3) 1/3) |
(neg.f64 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 2)) |
(sqrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (+.f64 1 (cos.f64 x))))) |
(neg.f64 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (+.f64 1 (cos.f64 x)))))) |
(neg.f64 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 3)) |
(neg.f64 (cos.f64 x)) |
(expm1.f64 (log1p.f64 (-.f64 1 (+.f64 1 (cos.f64 x))))) |
(neg.f64 (cos.f64 x)) |
(exp.f64 (log.f64 (-.f64 1 (+.f64 1 (cos.f64 x))))) |
(neg.f64 (cos.f64 x)) |
(exp.f64 (*.f64 (log.f64 (-.f64 1 (+.f64 1 (cos.f64 x)))) 1)) |
(neg.f64 (cos.f64 x)) |
(log1p.f64 (expm1.f64 (-.f64 1 (+.f64 1 (cos.f64 x))))) |
(neg.f64 (cos.f64 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
| ✓ | 0.1b | (/.f64 x (-.f64 1 (cos.f64 x))) |
| ✓ | 0.4b | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
| 2.2b | (-.f64 1 (cos.f64 x)) |
Compiled 34 to 19 computations (44.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/.f64 x (-.f64 1 (cos.f64 x))) |
| 1.0ms | x | @ | -inf | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
| 1.0ms | x | @ | inf | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
| 0.0ms | x | @ | inf | (/.f64 x (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
| 1× | batch-egg-rewrite |
| 1468× | associate-*r/ |
| 1244× | associate-/r* |
| 1050× | *-commutative |
| 996× | associate-*l/ |
| 880× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 69 |
| 1 | 235 | 63 |
| 2 | 3007 | 63 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)) 2) (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))))))) |
| 1× | egg-herbie |
| 1482× | times-frac |
| 1192× | associate-/r* |
| 992× | associate-/l/ |
| 926× | associate-*r* |
| 848× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 807 | 16077 |
| 1 | 2275 | 15127 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 2 x) |
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/3024 (pow.f64 x 5))))) |
2 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1))) 1) |
(*.f64 1 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x))) |
(*.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) 1) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)) 2) (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) 2) -1)) |
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) 1)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) -1) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x 1)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 (neg.f64 x))) (neg.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.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)) (/.f64 (*.f64 x x) 1)) |
(/.f64 -1 (neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) |
(/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) 1) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) 2)) |
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)) 2) (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1))) |
(/.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (sqrt.f64 (/.f64 1 x)))) |
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 1 x)))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)) 2)) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1))))) |
(/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 (/.f64 1 x)))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1/4) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1/4))) |
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1/2))) |
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2))) |
(/.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1/2) (/.f64 x (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1/2))) |
(/.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1/2) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 x -1/2))) |
(/.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x (cbrt.f64 x)) (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))) |
(/.f64 (pow.f64 1 -1/2) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1/2) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1/2))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) 2) -1/2) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) -1/2))) |
(/.f64 (pow.f64 (sqrt.f64 x) -1) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 (sqrt.f64 x) -1))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) -1))) |
(/.f64 (pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) -1) (/.f64 x (pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) -1))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) -1) (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) -1))) |
(/.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 x (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
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(/.f64 (sqrt.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) (/.f64 1 (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))) |
(/.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 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 (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 (*.f64 x (cbrt.f64 x)) (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (neg.f64 x) (/.f64 (+.f64 -1 (cos.f64 x)) x)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.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 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x))) |
(/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x))) |
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 x x) 1) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 x x) 1) (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)) |
(/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.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 1) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) (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 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x (/.f64 x 1)) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 x (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x (neg.f64 (neg.f64 x))) (neg.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 1 (*.f64 x (neg.f64 x))) (+.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 1 (/.f64 (*.f64 x x) 1)) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 1 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 1 (neg.f64 (*.f64 x x))) (+.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 x x) -1) (+.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) 1) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) 1) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 x 1) x) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 x 1) 1) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 (/.f64 x 1) -1) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (*.f64 (/.f64 x 1) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 x 1) (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 x 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (*.f64 (/.f64 x 1) (neg.f64 x)) (+.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 x 1) (/.f64 x 1)) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 x 1) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 x 1) (neg.f64 (neg.f64 x))) (neg.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 x (/.f64 (-.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 (neg.f64 (neg.f64 x)) x) (neg.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 x (neg.f64 x)) 1) (+.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 (*.f64 x x) 1) 1) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 1) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) 1) (+.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 1 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(/.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 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 (/.f64 x (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (/.f64 x (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1/2)) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1/2)) |
(/.f64 (/.f64 x (/.f64 1 (sqrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 x (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) |
(/.f64 (/.f64 x (/.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 x (/.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 x (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x))) |
(/.f64 (/.f64 x (pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) -1)) (pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) -1)) |
(/.f64 (/.f64 x (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) -1)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) -1)) |
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) 1) (+.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) -1) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) 1) 1) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 1) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) 1) (+.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) -1) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) 1) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) |
(exp.f64 (log.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 2 x) |
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) |
(fma.f64 1/6 x (/.f64 2 x)) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 1/6 x (/.f64 2 x))) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/3024 (pow.f64 x 5))))) |
(fma.f64 1/120 (pow.f64 x 3) (+.f64 (fma.f64 1/6 x (/.f64 2 x)) (*.f64 1/3024 (pow.f64 x 5)))) |
(+.f64 (fma.f64 1/120 (pow.f64 x 3) (fma.f64 1/6 x (/.f64 2 x))) (*.f64 1/3024 (pow.f64 x 5))) |
2 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2) |
(fma.f64 1/6 (*.f64 x x) 2) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (*.f64 (pow.f64 x 4) 1/120)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (fma.f64 1/3024 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/120))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 1 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -2) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)) 2)) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))) 3) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)) 2) (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1))) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))) 3) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2)) (/.f64 1 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))) |
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) 2) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2)) (/.f64 1 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))) |
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2)) |
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (+.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) 1)) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -2) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (+.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -2) |
(*.f64 (/.f64 (/.f64 1 x) -1) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -2) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x 1)) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 (neg.f64 x))) (neg.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x x) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 -1 (neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -2) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -2) |
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) 2)) |
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2)) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2)) |
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)) 2) (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))) 2) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 x (*.f64 x (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (+.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.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 (pow.f64 (cos.f64 x) 3)) (*.f64 x (*.f64 x (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (*.f64 x (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.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 x) (/.f64 x (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (sqrt.f64 (/.f64 1 x)))) |
(/.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 x (*.f64 (sqrt.f64 (/.f64 1 x)) (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 x)) x) (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (/.f64 1 x)))) |
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)) 2)) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1))))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))) 2)) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
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(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 x (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))) |
(*.f64 (/.f64 x (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 x (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) |
(*.f64 x (/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 x (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 x (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))))) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) 1) (+.f64 -1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) -1) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 x (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 x (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) |
(*.f64 x (/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (sqrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 x (sqrt.f64 (+.f64 (cos.f64 x) -1))) (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 (cos.f64 x) -1)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 x (cbrt.f64 (+.f64 (cos.f64 x) -1))) (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 x (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 x (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) |
(*.f64 x (/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) 1) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 x (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) 3) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) 3) 1/3) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) 2)) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (log.f64 (exp.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) 3)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3) (pow.f64 x 3))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(exp.f64 (log.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
| ✓ | 0.5b | (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
| 2.2b | (-.f64 1 (cos.f64 x)) | |
| ✓ | 12.7b | (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
Compiled 74 to 45 computations (39.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
| 3.0ms | x | @ | inf | (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
| 2.0ms | x | @ | -inf | (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
| 2.0ms | x | @ | inf | (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
| 1.0ms | x | @ | inf | (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
| 1× | batch-egg-rewrite |
| 1752× | associate-*l/ |
| 1586× | associate-/r* |
| 1142× | associate-/l* |
| 512× | associate-/r/ |
| 274× | add-sqr-sqrt |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 93 |
| 1 | 276 | 81 |
| 2 | 3534 | 75 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (neg.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (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)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) 1) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (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)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 1 1/3) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.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 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sqrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (*.f64 2 (log1p.f64 (neg.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 2 (log1p.f64 (neg.f64 (cos.f64 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))))) |
| 1× | egg-herbie |
| 1332× | distribute-rgt-in |
| 1320× | distribute-lft-in |
| 772× | distribute-lft-neg-in |
| 664× | distribute-rgt-neg-in |
| 544× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 333 | 6544 |
| 1 | 823 | 6440 |
| 2 | 3951 | 6440 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (pow.f64 x 2)) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (pow.f64 x 2)) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (pow.f64 x 2)) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (pow.f64 x 2)) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (pow.f64 x 2)) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (pow.f64 x 2)) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (pow.f64 x 2)) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (pow.f64 x 2)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (/.f64 1 (pow.f64 x 2))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (/.f64 1 (pow.f64 x 2))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (/.f64 1 (pow.f64 x 2))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (/.f64 1 (pow.f64 x 2))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (/.f64 1 (pow.f64 x 2))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (/.f64 1 (pow.f64 x 2))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (/.f64 1 (pow.f64 x 2))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (/.f64 1 (pow.f64 x 2))) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) 1) |
(*.f64 x (*.f64 x (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (*.f64 x x) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 1 (neg.f64 (neg.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(*.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 1) |
(*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 2) (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 x x)) |
(*.f64 -1 (neg.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 -1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 x (/.f64 1 x)) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)))) (/.f64 (*.f64 x x) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) x) |
(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 x (neg.f64 x))) |
(*.f64 (/.f64 x 1) (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 x (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)))) (/.f64 x (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)))) (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -2))) (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) 1) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 2) 1) (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 x (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (neg.f64 x)) |
(*.f64 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 2) -1) (cbrt.f64 (neg.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) (cbrt.f64 x)) |
(*.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) |
(pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 1) |
(pow.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) 2) -1) |
(pow.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 3) |
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 3) 1/3) |
(neg.f64 (/.f64 x (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) x))) |
(sqrt.f64 (/.f64 (pow.f64 x 4) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)))) |
(log.f64 (exp.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(exp.f64 (log.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) 1) |
(*.f64 1 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 1) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -2)) (cbrt.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(*.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (pow.f64 x -2) (pow.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -1)) |
(*.f64 -1 (*.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) -1)) |
(*.f64 -1 (neg.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) -1) -1) |
(*.f64 (/.f64 1 x) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) x) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) x)) |
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) 1) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 x x))) |
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x) (cbrt.f64 x))) |
(*.f64 (pow.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) -1)) |
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x))) |
(*.f64 (/.f64 -1 (neg.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -2)) 1) (cbrt.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 x (neg.f64 x)))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x))) |
(*.f64 (/.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 (pow.f64 x -2) -1) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 -1 (neg.f64 (*.f64 x (neg.f64 x)))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -2)) (cbrt.f64 x)) (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -2)) (cbrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -1) |
(pow.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 1) |
(pow.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(exp.f64 (log.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(exp.f64 (-.f64 (*.f64 1/3 (*.f64 2 (log1p.f64 (neg.f64 (cos.f64 x))))) (*.f64 2 (log.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) -1)) |
(exp.f64 (*.f64 (log.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 1) |
(*.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 -1 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) 1) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))))) |
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(/.f64 (pow.f64 1 1/3) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 1 (sqrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2/3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) |
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 3) |
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) |
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(exp.f64 (*.f64 1/3 (*.f64 2 (log1p.f64 (neg.f64 (cos.f64 x)))))) |
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3)) |
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 2 (log1p.f64 (neg.f64 (cos.f64 x))))) 1)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (pow.f64 x 2)) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 x x)) |
(*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (pow.f64 x 2)) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 x x)) |
(*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (pow.f64 x 2)) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 x x)) |
(*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (pow.f64 x 2)) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 x x)) |
(*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (pow.f64 x 2)) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 x x)) |
(*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (pow.f64 x 2)) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 x x)) |
(*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (pow.f64 x 2)) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 x x)) |
(*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (pow.f64 x 2)) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 x x)) |
(*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (/.f64 1 (pow.f64 x 2))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (/.f64 1 (pow.f64 x 2))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (/.f64 1 (pow.f64 x 2))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (/.f64 1 (pow.f64 x 2))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (/.f64 1 (pow.f64 x 2))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (/.f64 1 (pow.f64 x 2))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (/.f64 1 (pow.f64 x 2))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/3) (/.f64 1 (pow.f64 x 2))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) 1) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 x (*.f64 x (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (*.f64 x x) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 1 (neg.f64 (neg.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 1) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(pow.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 2)) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 2) (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 x x)) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 -1 (neg.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 -1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 x (/.f64 1 x)) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(pow.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)))) (/.f64 (*.f64 x x) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)))) (/.f64 x (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) x))) |
(*.f64 (/.f64 x (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)))) (/.f64 x (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) x) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 x (neg.f64 x))) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 x 1) (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 x (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)))) (/.f64 x (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)))) (/.f64 x (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)))) (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -2))) (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) -2)))) |
(/.f64 (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -2))) |
(/.f64 (cbrt.f64 (*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) -2))) |
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) 1) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(pow.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 2) 1) (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) (sqrt.f64 x)) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 x (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (neg.f64 x)) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(*.f64 (/.f64 x (*.f64 (sqrt.f64 -1) (cbrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 x (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 -1))) (sqrt.f64 (*.f64 x (/.f64 (neg.f64 x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 2) -1) (cbrt.f64 (neg.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) 2) -1) (cbrt.f64 (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 2) -1) (cbrt.f64 (*.f64 x (/.f64 (neg.f64 x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) 2) (cbrt.f64 (*.f64 x (/.f64 (neg.f64 x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) -1) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) (cbrt.f64 x)) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) x) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 (*.f64 x (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) |
(/.f64 (*.f64 (*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) x) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(/.f64 (*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 1) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(pow.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) 2) -1) |
(pow.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(pow.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 3) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 3) 1/3) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(neg.f64 (/.f64 x (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) x))) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(sqrt.f64 (/.f64 (pow.f64 x 4) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)))) |
(log.f64 (exp.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 3)) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
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(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
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(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
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(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) 1) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
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(*.f64 1 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
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(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
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(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 1) |
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(pow.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
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(pow.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) -2) |
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(*.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) -1) -1) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 x) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(pow.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) -2) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) x) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) x)) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 x x))) |
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) 1) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 x x))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 x x))) |
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x))) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x) (sqrt.f64 x))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x) (cbrt.f64 x))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(*.f64 (pow.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) -1)) |
(*.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(pow.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) -1)) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(*.f64 (/.f64 -1 (neg.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -2)) 1) (cbrt.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
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(*.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -2)) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)))) |
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(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -2)) (pow.f64 (cbrt.f64 x) 2))) |
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(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 x x))) |
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(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x))) |
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -2)) (cbrt.f64 x)) (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) -2)) (cbrt.f64 x)) (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -2)) (cbrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) -2)) (cbrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -1) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(pow.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 1) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(pow.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) 3) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(pow.f64 (pow.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 3) 1/3) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -2)) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) -2)) |
(fabs.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2))) |
(log.f64 (exp.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 3)) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(exp.f64 (log.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(exp.f64 (-.f64 (*.f64 1/3 (*.f64 2 (log1p.f64 (neg.f64 (cos.f64 x))))) (*.f64 2 (log.f64 x)))) |
(exp.f64 (+.f64 (*.f64 2/3 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 -2 (log.f64 x)))) |
(/.f64 (pow.f64 (exp.f64 2/3) (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) -1)) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(exp.f64 (*.f64 (log.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) 1)) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 1) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 -1 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) 1) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (pow.f64 1 1/3) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) |
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 1 (sqrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2/3) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 3) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) |
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(exp.f64 (*.f64 1/3 (*.f64 2 (log1p.f64 (neg.f64 (cos.f64 x)))))) |
(exp.f64 (*.f64 2/3 (log1p.f64 (neg.f64 (cos.f64 x))))) |
(pow.f64 (exp.f64 2/3) (log1p.f64 (neg.f64 (cos.f64 x)))) |
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3)) |
(exp.f64 (*.f64 2/3 (log1p.f64 (neg.f64 (cos.f64 x))))) |
(pow.f64 (exp.f64 2/3) (log1p.f64 (neg.f64 (cos.f64 x)))) |
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 2 (log1p.f64 (neg.f64 (cos.f64 x))))) 1)) |
(exp.f64 (*.f64 2/3 (log1p.f64 (neg.f64 (cos.f64 x))))) |
(pow.f64 (exp.f64 2/3) (log1p.f64 (neg.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
Compiled 43923 to 26812 computations (39% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1817 | 11 | 1828 |
| Fresh | 8 | 1 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 1828 | 15 | 1843 |
| Status | Error | Program |
|---|---|---|
| 32.4b | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) | |
| ▶ | 33.3b | (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
| ▶ | 32.4b | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| 33.4b | (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) | |
| ✓ | 33.3b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| ▶ | 48.5b | (/.f64 (+.f64 -1 1) (*.f64 x x)) |
| 32.4b | (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 x)) | |
| ✓ | 16.3b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| ▶ | 33.3b | (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
| 33.3b | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| ✓ | 30.2b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 16.4b | (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) | |
| ▶ | 0.1b | (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) |
| 0.2b | (*.f64 (/.f64 1 x) (*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) x))) | |
| 29.4b | 1/2 |
Compiled 279 to 198 computations (29% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) |
| ✓ | 0.1b | (/.f64 (tan.f64 (/.f64 x 2)) x) |
| ✓ | 0.1b | (/.f64 (sin.f64 x) x) |
Compiled 33 to 18 computations (45.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (/.f64 (tan.f64 (/.f64 x 2)) x) |
| 0.0ms | x | @ | -inf | (/.f64 (sin.f64 x) x) |
| 0.0ms | x | @ | inf | (/.f64 (tan.f64 (/.f64 x 2)) x) |
| 0.0ms | x | @ | inf | (/.f64 (sin.f64 x) x) |
| 0.0ms | x | @ | 0 | (/.f64 (sin.f64 x) x) |
| 1× | batch-egg-rewrite |
| 1874× | associate-/l* |
| 1046× | unswap-sqr |
| 832× | swap-sqr |
| 446× | associate-/l/ |
| 348× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 61 |
| 1 | 242 | 61 |
| 2 | 3268 | 61 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) x) |
(/.f64 (tan.f64 (/.f64 x 2)) x) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1114× | associate-/l* |
| 1104× | associate-/r* |
| 1018× | associate-*r* |
| 944× | associate-/r/ |
| 858× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 666 | 9666 |
| 1 | 1817 | 9492 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
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)) |
1/2 |
(+.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 (sin.f64 x) x))) 1) |
(*.f64 (sin.f64 x) (/.f64 1 x)) |
(*.f64 (/.f64 (sin.f64 x) x) 1) |
(*.f64 1 (/.f64 (sin.f64 x) x)) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 1 x) (sin.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (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 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
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(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (/.f64 x (tan.f64 (/.f64 x 2))) (/.f64 1 (neg.f64 x)))) |
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 x x) (neg.f64 (tan.f64 (/.f64 x 2))))) |
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) x))) |
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 (neg.f64 x) (/.f64 x (tan.f64 (/.f64 x 2)))) 1)) |
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (/.f64 x 2)))) |
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x))) |
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (neg.f64 x)))) |
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) (/.f64 (*.f64 x (neg.f64 x)) (sin.f64 x))) |
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) (/.f64 (neg.f64 x) (/.f64 (sin.f64 x) x))) |
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) (/.f64 (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))) 1)) |
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) (/.f64 (*.f64 x x) (neg.f64 (sin.f64 x)))) |
(/.f64 (sin.f64 (/.f64 x 2)) (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (/.f64 1 (cos.f64 (/.f64 x 2))))) |
(/.f64 (sin.f64 (/.f64 x 2)) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (/.f64 1 (cos.f64 (/.f64 x 2))))) |
(/.f64 (sin.f64 (/.f64 x 2)) (*.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (cos.f64 (/.f64 x 2)))) |
(/.f64 (sin.f64 (/.f64 x 2)) (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (/.f64 x 2)))) |
(/.f64 (sin.f64 (/.f64 x 2)) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 x (cos.f64 (/.f64 x 2))))) |
(/.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (/.f64 (*.f64 (/.f64 x (tan.f64 (/.f64 x 2))) (neg.f64 x)) (sqrt.f64 (neg.f64 (sin.f64 x))))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2)))) (/.f64 x (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2)))))) |
(/.f64 (sqrt.f64 (neg.f64 (tan.f64 (/.f64 x 2)))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (sqrt.f64 (neg.f64 (tan.f64 (/.f64 x 2)))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (/.f64 (*.f64 (/.f64 x (tan.f64 (/.f64 x 2))) (neg.f64 x)) (cbrt.f64 (neg.f64 (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2)))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2))))) (/.f64 x (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2)))))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 (/.f64 x 2)))) (cbrt.f64 (neg.f64 (tan.f64 (/.f64 x 2))))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (cbrt.f64 (neg.f64 (tan.f64 (/.f64 x 2)))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))))) |
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 x (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (/.f64 x (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (/.f64 x 2)))) (*.f64 x (neg.f64 x))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x 2)) (sin.f64 x)) (*.f64 (*.f64 x x) (cos.f64 (/.f64 x 2)))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x 2)) (sin.f64 x)) (*.f64 x (*.f64 (cos.f64 (/.f64 x 2)) x))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) x)) (*.f64 x (cos.f64 (/.f64 x 2)))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x 2)) (/.f64 1 x)) (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (/.f64 x 2)))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 (sqrt.f64 x) (tan.f64 (/.f64 x 2)))) (sqrt.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (tan.f64 (/.f64 x 2)) x))) (cbrt.f64 x)) |
(/.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 x (tan.f64 (/.f64 x 2))) (/.f64 (sin.f64 x) (sqrt.f64 x)))) |
(/.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 x)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (tan.f64 (/.f64 x 2))) (/.f64 (sin.f64 x) (cbrt.f64 x)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (/.f64 x 2)) (cbrt.f64 x)))) |
(/.f64 (/.f64 (sin.f64 x) 1) (*.f64 (/.f64 x (tan.f64 (/.f64 x 2))) x)) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (*.f64 (/.f64 x (tan.f64 (/.f64 x 2))) (sqrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 x (tan.f64 (/.f64 x 2))) (cbrt.f64 x))) |
(/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 x)) (*.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 x))) |
(/.f64 -1 (/.f64 (*.f64 (/.f64 x (tan.f64 (/.f64 x 2))) (neg.f64 x)) (sin.f64 x))) |
(/.f64 -1 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (tan.f64 (/.f64 x 2)))) |
(/.f64 -1 (*.f64 (/.f64 x (tan.f64 (/.f64 x 2))) (/.f64 x (neg.f64 (sin.f64 x))))) |
(/.f64 -1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (neg.f64 (tan.f64 (/.f64 x 2)))))) |
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 (/.f64 x (tan.f64 (/.f64 x 2))) (neg.f64 x)) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (/.f64 x (tan.f64 (/.f64 x 2))) (neg.f64 x)) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (sqrt.f64 (tan.f64 (/.f64 x 2)))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (sqrt.f64 (tan.f64 (/.f64 x 2))))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2)) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (cbrt.f64 (tan.f64 (/.f64 x 2))))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x 2))) (*.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 (/.f64 x 2))))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x 2))) (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (neg.f64 (cos.f64 (/.f64 x 2))))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x 2))) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (cos.f64 (/.f64 x 2)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)) (sqrt.f64 (sin.f64 x))) (/.f64 x (*.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)) (sqrt.f64 (sin.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 (sin.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 x (*.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 (/.f64 (sin.f64 x) x))))) |
(/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (/.f64 x (tan.f64 (/.f64 x 2))) (/.f64 (sqrt.f64 (sin.f64 x)) x))) |
(/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (tan.f64 (/.f64 x 2))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (/.f64 x (tan.f64 (/.f64 x 2))) (/.f64 (cbrt.f64 (sin.f64 x)) x))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (/.f64 x (tan.f64 (/.f64 x 2))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (tan.f64 (/.f64 x 2))) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) 1) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) x))) |
(/.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (cbrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) 1) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) x))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) (sqrt.f64 x)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (/.f64 x 2)))) (*.f64 x x)) |
(/.f64 (*.f64 (sin.f64 (/.f64 x 2)) 1) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 (cos.f64 (/.f64 x 2)) x))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x 2)) 1) (*.f64 x (*.f64 (cos.f64 (/.f64 x 2)) (/.f64 x (sin.f64 x))))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x 2)) (neg.f64 (sin.f64 x))) (*.f64 x (*.f64 (cos.f64 (/.f64 x 2)) (neg.f64 x)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (tan.f64 (/.f64 x 2)))) (neg.f64 x)) |
(pow.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) 3) 1/3) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (/.f64 x 2)) x))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (neg.f64 x)) (/.f64 (sin.f64 x) x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) (neg.f64 x)))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 x (tan.f64 (/.f64 x 2))))) |
(neg.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (neg.f64 x)) (/.f64 x (sin.f64 x)))) |
(neg.f64 (/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (/.f64 x 2))) (neg.f64 x)))) |
(neg.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)))) |
(neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2))) (neg.f64 x))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x (neg.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) (/.f64 (tan.f64 (/.f64 x 2)) x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 x x))) |
(fma.f64 -1/6 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (*.f64 1/120 (pow.f64 x 4))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6)))) |
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 1/2 (fma.f64 (pow.f64 x 4) 1/240 (*.f64 x (*.f64 x 1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (+.f64 (*.f64 17/40320 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 1/24 (*.f64 x x) (fma.f64 17/40320 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/240)))) |
(+.f64 (fma.f64 1/24 (*.f64 x x) 1/2) (fma.f64 (pow.f64 x 4) 1/240 (*.f64 (pow.f64 x 6) 17/40320))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2)))) |
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 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/720))) |
(+.f64 1/2 (fma.f64 (pow.f64 x 4) 1/720 (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/720)))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 (pow.f64 x 4) 1/720 (*.f64 (pow.f64 x 6) -1/40320))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x))) |
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(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) (neg.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 x (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (neg.f64 x)) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (/.f64 x 2))) (neg.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2))) (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) 2)) |
(fabs.f64 (*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) (/.f64 (tan.f64 (/.f64 x 2)) x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x))))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) 3)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) 3))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x))) 1)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 15.5b | (/.f64 (+.f64 -1 1) (*.f64 x x)) |
Compiled 17 to 11 computations (35.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 -1 1) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 -1 1) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 -1 1) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 932× | add-sqr-sqrt |
| 916× | *-un-lft-identity |
| 872× | pow1 |
| 848× | add-cube-cbrt |
| 842× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 1 |
| 1 | 156 | 1 |
| 2 | 1336 | 1 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x . 0))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 13 |
| 1× | saturated |
| Inputs |
|---|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
| Outputs |
|---|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
| 2.2b | (-.f64 1 (cos.f64 x)) | |
| ✓ | 12.6b | (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
Compiled 30 to 14 computations (53.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1620× | associate-*l/ |
| 1590× | associate-/r* |
| 1106× | associate-/l* |
| 994× | *-commutative |
| 680× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 52 |
| 1 | 216 | 46 |
| 2 | 2962 | 46 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))) (#(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 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (cos.f64 x)) (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 1 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x)) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 x x) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 1) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) 1) (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (/.f64 1 x)) 1) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 x (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (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 (*.f64 x x) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (-.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 (*.f64 x x) (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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| 1× | egg-herbie |
| 620× | distribute-lft-neg-out |
| 538× | distribute-rgt-neg-out |
| 522× | *-commutative |
| 508× | associate-*r/ |
| 460× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 393 | 6024 |
| 1 | 1216 | 5836 |
| 2 | 4862 | 5828 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) 1) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 1) |
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(pow.f64 (pow.f64 (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))) |
(exp.f64 (log.f64 (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 (log.f64 x) 2))) |
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 (*.f64 x x) (-.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))) |
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/120 (pow.f64 x 4) 2)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (fma.f64 1/3024 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/3024 (pow.f64 x 6)))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/720))) |
(+.f64 1/2 (fma.f64 (pow.f64 x 4) 1/720 (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (fma.f64 (pow.f64 x 4) 1/720 (*.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 (pow.f64 x 4) 1/720)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 (pow.f64 x 4) 1/720 (*.f64 (pow.f64 x 6) -1/40320)))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 (pow.f64 x 4) 1/720 (*.f64 (pow.f64 x 6) -1/40320))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) 1) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 1) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1) (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x)))) |
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x))) |
(/.f64 (*.f64 x (+.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (/.f64 x (sin.f64 x)))) |
(*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x))) |
(*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) x)) |
(*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (*.f64 x (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x)))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1) (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 x (/.f64 1 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x 1)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 x (+.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (/.f64 x (sin.f64 x)))) |
(*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x (*.f64 (sin.f64 x) (sin.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 (cos.f64 x) (+.f64 1 (cos.f64 x))))) |
(*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) x)) |
(*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (*.f64 x (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x (+.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (/.f64 x (sin.f64 x)))) |
(*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 x x) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) |
(*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) x)) |
(*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (*.f64 x (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (/.f64 1 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x 1) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1) (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x 4)) 1)) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1) (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
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(/.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4)))) |
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(/.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 (*.f64 x 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 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
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(*.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (-.f64 -1 (cos.f64 x))) |
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(*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) x)) |
(*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (*.f64 x (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
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(*.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (-.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) (+.f64 -1 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (/.f64 x (/.f64 1 x)) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) |
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(*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))))) |
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(*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) x)) |
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(*.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
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(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) 2) (cbrt.f64 x)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 x)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 x)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 x x) (-.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 (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) 2) (cbrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (/.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (neg.f64 (*.f64 x x)))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 x x) (-.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 1 (/.f64 (*.f64 x x) (-.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 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -2)) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -2)) |
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(log.f64 (exp.f64 (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 (*.f64 x x) (-.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 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(exp.f64 (log.f64 (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 (log.f64 x) 2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| 0.1b | (/.f64 x (-.f64 1 (cos.f64 x))) | |
| 2.2b | (-.f64 1 (cos.f64 x)) |
Compiled 28 to 16 computations (42.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| 1× | batch-egg-rewrite |
| 1116× | *-commutative |
| 1092× | associate-/r/ |
| 828× | associate-/l/ |
| 676× | swap-sqr |
| 426× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 1 | 221 | 23 |
| 2 | 3123 | 23 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| Outputs |
|---|
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(cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (-.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) 1) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -1/2) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.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 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))))))) |
| 1× | egg-herbie |
| 1290× | associate-/r* |
| 1216× | distribute-lft-in |
| 1104× | distribute-rgt-in |
| 1044× | *-commutative |
| 840× | unswap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 257 | 3640 |
| 1 | 770 | 3446 |
| 2 | 2936 | 3446 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 1 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x))) |
(+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1)) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2)) |
(+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) 1) |
(*.f64 1 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -1/2) (*.f64 (/.f64 (pow.f64 x -1/2) x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) 2) (cbrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 x -2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (/.f64 1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (*.f64 (pow.f64 x -1/2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 (pow.f64 x -1/2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x)) |
(*.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -1/2) x) (*.f64 (pow.f64 x -1/2) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 (pow.f64 x -1/2) x) (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2)) |
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (*.f64 (pow.f64 x -1/2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(*.f64 (*.f64 (pow.f64 x -1/2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) |
(*.f64 (*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x -2)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) 1) (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) 1) (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x -2)) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 1 (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (cbrt.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) -1) (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) 1) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) -1) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) (pow.f64 x -1/2)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)) -1) |
(*.f64 (/.f64 (/.f64 -1 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (-.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 1)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) 1) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (*.f64 (pow.f64 x -1/2) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 x -1/2) x)) |
(pow.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) 3) 1/3) |
(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1) |
(neg.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))) |
(neg.f64 (*.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) 1)) |
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(neg.f64 (*.f64 1 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)))) |
(neg.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.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 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))))) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) 3)) |
(cbrt.f64 (/.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(exp.f64 (log.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(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 -1/24 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))))) |
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(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (cbrt.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) -1) (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) 1) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 x -2) -1) (+.f64 (cos.f64 x) -1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) (pow.f64 x -1/2)) |
(*.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 x -1/2) x) (sqrt.f64 x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)) -1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 -1 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (cos.f64 x) -1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x))))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (*.f64 (/.f64 (-.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)))))) (pow.f64 x -2)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (-.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 1)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (-.f64 (pow.f64 (cos.f64 x) 2) 1))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3)) (pow.f64 x -2))) (fma.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (+.f64 -1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) 1)) |
(*.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3)))) (fma.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) -1)) 1)) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) x) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 x) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
(/.f64 (*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (+.f64 (cos.f64 x) -1))) (sqrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (neg.f64 x)) x)) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 (neg.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) 1) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)))) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (/.f64 1 x) (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (*.f64 (pow.f64 x -1/2) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 x -1/2) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (sqrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.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 (/.f64 1 x) (/.f64 x (-.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)) |
(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(neg.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(neg.f64 (*.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(neg.f64 (*.f64 1 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(neg.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.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 (/.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)) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.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)) |
(cbrt.f64 (/.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (/.f64 x (-.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 (/.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)) |
(exp.f64 (log.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1 (-.f64 1 (cos.f64 x))) |
| ✓ | 0.5b | (/.f64 1 (*.f64 x x)) |
| 2.2b | (-.f64 1 (cos.f64 x)) | |
| ✓ | 16.1b | (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
Compiled 35 to 19 computations (45.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 150.0ms | x | @ | -inf | (/.f64 (/.f64 1 (*.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))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
| 1× | batch-egg-rewrite |
| 1410× | associate-/r* |
| 1060× | *-commutative |
| 1046× | associate-/l* |
| 716× | associate-/r/ |
| 522× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 65 |
| 1 | 242 | 47 |
| 2 | 3362 | 47 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
| Outputs |
|---|
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(#(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 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (+.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)))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 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 *.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 (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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(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 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 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 (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) -1)))) (#(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 (/.f64 1 (pow.f64 (-.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 |
| 1596× | associate-/r/ |
| 632× | associate-*l* |
| 628× | associate-*r* |
| 544× | associate-+r+ |
| 494× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 369 | 5594 |
| 1 | 1088 | 5032 |
| 2 | 5001 | 5008 |
| 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 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 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 1 (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (neg.f64 (/.f64 1 (*.f64 x x))) (neg.f64 (neg.f64 (cos.f64 x))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x))) 1)) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (/.f64 1 (*.f64 x x))))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x))) (/.f64 1 (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x x)))) (-.f64 1 (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))) 1) |
(*.f64 1 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 1) |
(*.f64 (*.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 (/.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))) 2) (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (-.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x))) |
(*.f64 -1 (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))) |
(*.f64 (neg.f64 (/.f64 1 (*.f64 x x))) (+.f64 -1 (cos.f64 x))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (/.f64 1 (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2)) |
(*.f64 (*.f64 (/.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (*.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 1) (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) |
(*.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 1) (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 1 (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) 1) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 1 (*.f64 x x)))) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2))) (cbrt.f64 (/.f64 1 (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))) -1) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) -1) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (*.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 (/.f64 1 (*.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 (/.f64 1 (*.f64 x x)) (-.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 (/.f64 1 (*.f64 x 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 (*.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 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 1) |
(pow.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 3) 1/3) |
(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1) |
(neg.f64 (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 1 (*.f64 x x))) (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))))) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 3) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3)))) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))) |
(exp.f64 (log.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x x)))) 1) |
(*.f64 1 (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 1 (*.f64 x x)) 1) |
(*.f64 (/.f64 1 x) (/.f64 1 x)) |
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2) (cbrt.f64 (/.f64 1 (*.f64 x x)))) |
(*.f64 -1 (neg.f64 (/.f64 1 (*.f64 x x)))) |
(*.f64 (neg.f64 (/.f64 1 (*.f64 x x))) -1) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 1 (*.f64 x x)))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1)) |
(pow.f64 x -2) |
(pow.f64 (*.f64 x x) -1) |
(pow.f64 (/.f64 1 (*.f64 x x)) 1) |
(pow.f64 (/.f64 1 x) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x x) -2)) |
(log.f64 (exp.f64 (/.f64 1 (*.f64 x x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 1 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) 1)) |
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1)) |
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cos.f64 x))) |
(+.f64 (*.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (cos.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(+.f64 (*.f64 (cos.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(+.f64 (*.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(+.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(+.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (cos.f64 x) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) 1) |
(*.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.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 (cbrt.f64 (/.f64 1 (-.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 (-.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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) 1) (cbrt.f64 (/.f64 1 (-.f64 1 (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 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 (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 (+.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))))) |
(*.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 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 (+.f64 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 1 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) |
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) 1/3) |
(pow.f64 (-.f64 1 (cos.f64 x)) -1) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (-.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 -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 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 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
(fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (*.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (fma.f64 1/3024 (pow.f64 x 4) (/.f64 2 (*.f64 x x))))) |
(+.f64 (fma.f64 (pow.f64 x 4) 1/3024 (/.f64 2 (*.f64 x x))) (fma.f64 1/120 (*.f64 x x) 1/6)) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 1 (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (neg.f64 (/.f64 1 (*.f64 x x))) (neg.f64 (neg.f64 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x))) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (/.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 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x))) (/.f64 1 (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x x)))) (-.f64 1 (*.f64 (/.f64 1 (*.f64 x x)) (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 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.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 1 (/.f64 (/.f64 1 (*.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 (*.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 1 (*.f64 x x)) (neg.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 (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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 x) (*.f64 (/.f64 1 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 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.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)) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 1 (*.f64 x x)) 1) (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))) 2) (cbrt.f64 (/.f64 (/.f64 1 (*.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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2) (*.f64 (cbrt.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 1 (cos.f64 x)) (/.f64 1 (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
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(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
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(/.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) x) |
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(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))) -1) |
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(*.f64 (*.f64 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (*.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)))) |
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(pow.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.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 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.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)) |
(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(neg.f64 (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))) |
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(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 1 (*.f64 x x)) 1) (-.f64 1 (cos.f64 x))) 2)) |
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(log.f64 (pow.f64 (exp.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)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 (*.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)) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.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)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 3) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
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(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 (*.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)) |
(exp.f64 (log.f64 (/.f64 (/.f64 1 (*.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)) |
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(/.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 1 (*.f64 x x)))) 1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 1 (/.f64 1 (*.f64 x x))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (/.f64 1 (*.f64 x x)) 1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (/.f64 1 x) (/.f64 1 x)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2) (cbrt.f64 (/.f64 1 (*.f64 x x)))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 -1 (neg.f64 (/.f64 1 (*.f64 x x)))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (neg.f64 (/.f64 1 (*.f64 x x))) -1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 1 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(pow.f64 x -2) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 (*.f64 x x) -1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (/.f64 1 (*.f64 x x)) 1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (/.f64 1 x) 2) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 3) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 3) 1/3) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(sqrt.f64 (pow.f64 (*.f64 x x) -2)) |
(fabs.f64 (pow.f64 x -2)) |
(log.f64 (exp.f64 (/.f64 1 (*.f64 x x)))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x x))))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 3)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x x)))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(exp.f64 (log.f64 (/.f64 1 (*.f64 x x)))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x x)))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x))) |
(*.f64 (/.f64 1 (*.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 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) 1)) |
(*.f64 (/.f64 1 (*.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 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 1 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1)) |
(/.f64 (*.f64 1 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cos.f64 x))) |
(/.f64 (*.f64 1 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(+.f64 (*.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (cos.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (/.f64 1 (*.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 (cos.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (/.f64 1 (*.f64 (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 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 1 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(+.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 1 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(+.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (cos.f64 x) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 1 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) 1) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 1 (-.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 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.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 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (*.f64 1 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 -1 (/.f64 -1 (-.f64 1 (cos.f64 x)))) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) -1) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(/.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.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 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 1 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) 1) (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) -1) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) -1)) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) -2) |
(*.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 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.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 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (+.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)))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 1 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.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 1 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.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 1 (pow.f64 (cos.f64 x) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 4)))) |
(*.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 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4)))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))) |
(/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 4)))) (-.f64 1 (pow.f64 (cos.f64 x) 6))) |
(*.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 (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 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (*.f64 1 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.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 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 1 (*.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 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.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)))))) |
(*.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 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (pow.f64 (cos.f64 x) 6))) |
(*.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 (pow.f64 (cos.f64 x) 6)))) |
(*.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 1 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6)))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 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 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6)))) |
(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 (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) 3) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) 1/3) |
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) |
(pow.f64 (-.f64 1 (cos.f64 x)) -1) |
(/.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 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) |
(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))) |
Compiled 28256 to 16204 computations (42.7% saved)
19 alts after pruning (13 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1392 | 9 | 1401 |
| Fresh | 3 | 4 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 6 | 7 |
| Total | 1397 | 19 | 1416 |
| Status | Error | Program |
|---|---|---|
| 32.4b | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) | |
| ▶ | 30.1b | (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
| ✓ | 32.4b | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| ▶ | 45.3b | (/.f64 (/.f64 1 x) (/.f64 x (*.f64 1/2 (*.f64 x x)))) |
| 13.9b | (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) | |
| 32.4b | (/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)) | |
| ▶ | 33.4b | (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
| ✓ | 33.3b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 33.0b | (/.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) | |
| 32.4b | (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 x)) | |
| ✓ | 16.3b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| ▶ | 0.5b | (/.f64 1 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x 2)))) |
| ✓ | 33.3b | (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
| ▶ | 33.3b | (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
| 32.9b | (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x)))) | |
| ✓ | 30.2b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| ✓ | 0.1b | (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) |
| 29.4b | 1/2 | |
| 48.0b | 0 |
Compiled 353 to 254 computations (28% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 x (/.f64 (sin.f64 x) x)) |
| ✓ | 0.1b | (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x 2))) |
| 0.1b | (/.f64 (sin.f64 x) x) | |
| ✓ | 0.4b | (/.f64 1 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x 2)))) |
Compiled 47 to 21 computations (55.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x 2))) |
| 1.0ms | x | @ | inf | (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x 2))) |
| 0.0ms | x | @ | inf | (/.f64 x (/.f64 (sin.f64 x) x)) |
| 0.0ms | x | @ | -inf | (/.f64 x (/.f64 (sin.f64 x) x)) |
| 0.0ms | x | @ | 0 | (/.f64 x (/.f64 (sin.f64 x) x)) |
| 1× | batch-egg-rewrite |
| 1146× | associate-/l/ |
| 1006× | swap-sqr |
| 668× | distribute-lft-neg-in |
| 610× | distribute-rgt-neg-in |
| 288× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 89 |
| 1 | 287 | 83 |
| 2 | 3947 | 83 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x 2)))) |
(/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x 2))) |
(/.f64 x (/.f64 (sin.f64 x) x)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (tan.f64 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (/.f64 1 (tan.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 -1 (tan.f64 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) (/.f64 1 (tan.f64 (/.f64 x 2)))))))) 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| 1× | egg-herbie |
| 1634× | distribute-rgt-in |
| 1610× | distribute-lft-in |
| 692× | associate-*l* |
| 610× | associate-*r* |
| 514× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 417 | 6349 |
| 1 | 1117 | 6041 |
| 2 | 5227 | 6041 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
2 |
(+.f64 (*.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 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
x |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 7/360 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 7/360 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 31/15120 (pow.f64 x 7)) x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
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(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 x (/.f64 1 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 x (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (/.f64 x (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 x 1) (/.f64 x (sin.f64 x))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) (neg.f64 (sqrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 2)) (neg.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))))) |
(*.f64 (/.f64 x (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (/.f64 (sqrt.f64 x) (/.f64 1 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (/.f64 (cbrt.f64 x) (/.f64 1 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 x (neg.f64 (sin.f64 x)))))) (sqrt.f64 (*.f64 x (/.f64 x (neg.f64 (sin.f64 x)))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 x (neg.f64 (sin.f64 x))))) (cbrt.f64 (*.f64 x (/.f64 x (neg.f64 (sin.f64 x))))))) (cbrt.f64 (*.f64 x (/.f64 x (neg.f64 (sin.f64 x)))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))))) (sqrt.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 2))) (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) |
(pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 3) |
(pow.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 x) (*.f64 x x)) -1) |
(neg.f64 (*.f64 x (/.f64 x (neg.f64 (sin.f64 x))))) |
(neg.f64 (/.f64 (*.f64 x (/.f64 x (neg.f64 (sin.f64 x)))) 1)) |
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (sin.f64 x) x))))) |
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) |
(exp.f64 (log.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (/.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))) |
(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 (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 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) (*.f64 x x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) (*.f64 x x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) (*.f64 x x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) (*.f64 x x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) (*.f64 x x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) (*.f64 x x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) (*.f64 x x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) (*.f64 x x)) |
2 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2) |
(fma.f64 1/6 (*.f64 x x) 2) |
(fma.f64 (*.f64 x x) 1/6 2) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (*.f64 (pow.f64 x 4) 1/120)) |
(fma.f64 (*.f64 x x) 1/6 (fma.f64 (pow.f64 x 4) 1/120 2)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (fma.f64 1/3024 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/120))) |
(+.f64 (fma.f64 (*.f64 x x) 1/6 2) (fma.f64 (pow.f64 x 6) 1/3024 (*.f64 (pow.f64 x 4) 1/120))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
x |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x) |
(fma.f64 1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 7/360 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x)) |
(fma.f64 7/360 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) x)) |
(+.f64 (*.f64 7/360 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 31/15120 (pow.f64 x 7)) x))) |
(fma.f64 7/360 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 31/15120 (pow.f64 x 7) x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x 2)))))) 1) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x 2)))) |
(*.f64 1 (/.f64 1 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x 2)))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 1 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x 2)))) 1) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x 2)))) |
(*.f64 (sqrt.f64 (/.f64 1 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x 2))))) (sqrt.f64 (/.f64 1 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x 2)))))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x 2)))) |
(*.f64 (cbrt.f64 (/.f64 1 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x 2))))) (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x 2))))) 2)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x 2))))) 2) (cbrt.f64 (/.f64 1 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x 2)))))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) -1)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 1 x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x 2)))) |
(*.f64 -1 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x 2)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) 1) (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x 2)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (sqrt.f64 (tan.f64 (/.f64 x 2)))) (sqrt.f64 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x 2)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2)) (cbrt.f64 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 2)) (/.f64 (tan.f64 (/.f64 x 2)) (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x 2)))) |
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(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 x (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 (/.f64 x (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 x (neg.f64 (sin.f64 x)))))) (sqrt.f64 (*.f64 x (/.f64 x (neg.f64 (sin.f64 x)))))) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (sin.f64 x))) |
(/.f64 x (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 x (neg.f64 (sin.f64 x))))) (cbrt.f64 (*.f64 x (/.f64 x (neg.f64 (sin.f64 x))))))) (cbrt.f64 (*.f64 x (/.f64 x (neg.f64 (sin.f64 x)))))) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (sin.f64 x))) |
(/.f64 x (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))))) (sqrt.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 2))) (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 1) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 2) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 3) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(pow.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 3) 1/3) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(pow.f64 (/.f64 (sin.f64 x) (*.f64 x x)) -1) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(neg.f64 (*.f64 x (/.f64 x (neg.f64 (sin.f64 x))))) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (sin.f64 x))) |
(/.f64 x (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))) |
(neg.f64 (/.f64 (*.f64 x (/.f64 x (neg.f64 (sin.f64 x)))) 1)) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (sin.f64 x))) |
(/.f64 x (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (sin.f64 x)) 2)) |
(fabs.f64 (*.f64 x (/.f64 x (sin.f64 x)))) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (sin.f64 x) x))))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 3)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(exp.f64 (log.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 1)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 28.4b | (/.f64 x (*.f64 1/2 (*.f64 x x))) |
Compiled 33 to 17 computations (48.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 x (*.f64 1/2 (*.f64 x x))) |
| 0.0ms | x | @ | inf | (/.f64 x (*.f64 1/2 (*.f64 x x))) |
| 0.0ms | x | @ | -inf | (/.f64 x (*.f64 1/2 (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 1586× | add-sqr-sqrt |
| 1564× | *-un-lft-identity |
| 1470× | add-cube-cbrt |
| 1456× | add-cbrt-cube |
| 146× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 150 | 19 |
| 2 | 2007 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (*.f64 1/2 (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) x) (/.f64 (sqrt.f64 (*.f64 x 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (*.f64 1/2 (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 1/2 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 1/2 (*.f64 x x)))) 2) (cbrt.f64 (/.f64 x (*.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 2) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (sqrt.f64 1/2))) (/.f64 x (*.f64 x (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (/.f64 x (cbrt.f64 (*.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x 1/2)) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1/2) (/.f64 (sqrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) (/.f64 (sqrt.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (*.f64 x 1/2)) (/.f64 (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (/.f64 (cbrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x x)) (/.f64 (cbrt.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (sqrt.f64 1/2))) (/.f64 (cbrt.f64 x) (*.f64 x (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (cbrt.f64 (/.f64 x (*.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x 1/2)) (/.f64 (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 1/2 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) (*.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 1/2 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))))))))) |
| 1× | egg-herbie |
| 1252× | associate-/l* |
| 888× | associate-+l- |
| 848× | associate-+r- |
| 792× | associate-/r* |
| 612× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 594 |
| 1 | 330 | 558 |
| 2 | 1125 | 552 |
| 3 | 4919 | 552 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))))) 1) |
(*.f64 x (/.f64 2 (*.f64 x x))) |
(*.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))) 1) |
(*.f64 1 (/.f64 x (*.f64 1/2 (*.f64 x x)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 2 (*.f64 x x)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) x) (/.f64 (sqrt.f64 (*.f64 x 2)) x)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 2 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 x (*.f64 1/2 (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 1/2 (*.f64 x x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 1/2 (*.f64 x x)))) 2) (cbrt.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (*.f64 x 2) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 2 (*.f64 x x)) x) |
(*.f64 (neg.f64 x) (/.f64 1 (*.f64 (*.f64 x x) -1/2))) |
(*.f64 2 (/.f64 x (*.f64 x x))) |
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 x 2)) |
(*.f64 (/.f64 1 (*.f64 x (sqrt.f64 1/2))) (/.f64 x (*.f64 x (sqrt.f64 1/2)))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (/.f64 x (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (/.f64 1 (*.f64 x 1/2)) (/.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1/2) (/.f64 (sqrt.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) (/.f64 (sqrt.f64 x) 1/2)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 x x)))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 x 1/2)) (/.f64 (sqrt.f64 x) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (/.f64 (cbrt.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x x)) (/.f64 (cbrt.f64 x) 1/2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 1/2 (*.f64 x x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (sqrt.f64 1/2))) (/.f64 (cbrt.f64 x) (*.f64 x (sqrt.f64 1/2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (cbrt.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x 1/2)) (/.f64 (cbrt.f64 x) x)) |
(pow.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))) 1) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 1/2 (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))) 3) 1/3) |
(pow.f64 (/.f64 (*.f64 x x) (*.f64 x 2)) -1) |
(neg.f64 (/.f64 x (*.f64 (*.f64 x x) -1/2))) |
(sqrt.f64 (/.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/4))) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (*.f64 x x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 1/2 (*.f64 x x)))))) |
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))))) |
(exp.f64 (log.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 1/2 (*.f64 x x)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))))) |
| Outputs |
|---|
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(/.f64 2 x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))))) 1) |
(/.f64 2 x) |
(*.f64 x (/.f64 2 (*.f64 x x))) |
(/.f64 2 x) |
(*.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))) 1) |
(/.f64 2 x) |
(*.f64 1 (/.f64 x (*.f64 1/2 (*.f64 x x)))) |
(/.f64 2 x) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 2 (*.f64 x x)))) |
(/.f64 2 x) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) x) (/.f64 (sqrt.f64 (*.f64 x 2)) x)) |
(/.f64 2 x) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 2 (*.f64 x x)))) |
(/.f64 2 x) |
(*.f64 (cbrt.f64 (/.f64 x (*.f64 1/2 (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 1/2 (*.f64 x x)))) 2)) |
(/.f64 2 x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 1/2 (*.f64 x x)))) 2) (cbrt.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))))) |
(/.f64 2 x) |
(*.f64 (*.f64 x 2) (/.f64 1 (*.f64 x x))) |
(/.f64 2 x) |
(*.f64 (/.f64 2 (*.f64 x x)) x) |
(/.f64 2 x) |
(*.f64 (neg.f64 x) (/.f64 1 (*.f64 (*.f64 x x) -1/2))) |
(/.f64 2 x) |
(*.f64 2 (/.f64 x (*.f64 x x))) |
(/.f64 2 x) |
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 x 2)) |
(/.f64 2 x) |
(*.f64 (/.f64 1 (*.f64 x (sqrt.f64 1/2))) (/.f64 x (*.f64 x (sqrt.f64 1/2)))) |
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 1/2)) (/.f64 1 (sqrt.f64 1/2))) |
(/.f64 (/.f64 1 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)) |
(/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2)))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (/.f64 x (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(/.f64 (/.f64 x (cbrt.f64 (*.f64 x (*.f64 x 1/2)))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) |
(/.f64 x (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(/.f64 x (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))) |
(*.f64 (/.f64 1 (*.f64 x 1/2)) (/.f64 x x)) |
(/.f64 2 x) |
(*.f64 (/.f64 (sqrt.f64 x) 1/2) (/.f64 (sqrt.f64 x) (*.f64 x x))) |
(/.f64 2 x) |
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) (/.f64 (sqrt.f64 x) 1/2)) |
(/.f64 2 x) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 x x)))) |
(/.f64 2 x) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (/.f64 x (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(/.f64 (/.f64 x (cbrt.f64 (*.f64 x (*.f64 x 1/2)))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) |
(/.f64 x (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(/.f64 x (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))) |
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 x 1/2)) (/.f64 (sqrt.f64 x) x)) |
(/.f64 2 x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (/.f64 (cbrt.f64 x) (*.f64 x x))) |
(/.f64 2 x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x x)) (/.f64 (cbrt.f64 x) 1/2)) |
(/.f64 2 x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 1/2 (*.f64 x x)))) |
(/.f64 2 x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (sqrt.f64 1/2))) (/.f64 (cbrt.f64 x) (*.f64 x (sqrt.f64 1/2)))) |
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 1/2)) (/.f64 1 (sqrt.f64 1/2))) |
(/.f64 (/.f64 1 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)) |
(/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (cbrt.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (/.f64 x (*.f64 1/2 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))) |
(*.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x 1/2)) (/.f64 (cbrt.f64 x) x)) |
(/.f64 2 x) |
(pow.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))) 1) |
(/.f64 2 x) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) x) 2) |
(/.f64 2 x) |
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 1/2 (*.f64 x x)))) 3) |
(/.f64 2 x) |
(pow.f64 (pow.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))) 3) 1/3) |
(/.f64 2 x) |
(pow.f64 (/.f64 (*.f64 x x) (*.f64 x 2)) -1) |
(/.f64 2 x) |
(neg.f64 (/.f64 x (*.f64 (*.f64 x x) -1/2))) |
(/.f64 2 x) |
(sqrt.f64 (/.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/4))) |
(sqrt.f64 (*.f64 (/.f64 x (pow.f64 x 4)) (/.f64 x 1/4))) |
(sqrt.f64 (/.f64 1 (*.f64 (*.f64 x x) 1/4))) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (*.f64 x x)))) |
(/.f64 2 x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 1/2 (*.f64 x x)))))) |
(/.f64 2 x) |
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))) 3)) |
(/.f64 2 x) |
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))))) |
(/.f64 2 x) |
(exp.f64 (log.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))))) |
(/.f64 2 x) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 1/2 (*.f64 x x)))) 1)) |
(/.f64 2 x) |
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 1/2 (*.f64 x x))))) |
(/.f64 2 x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1/6 (/.f64 2 (*.f64 x x))) |
| 0.5b | (/.f64 1 (*.f64 x x)) | |
| ✓ | 0.5b | (/.f64 2 (*.f64 x x)) |
| ✓ | 15.9b | (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
Compiled 38 to 20 computations (47.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
| 0.0ms | x | @ | 0 | (/.f64 2 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 2 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
| 1× | batch-egg-rewrite |
| 1036× | *-commutative |
| 1028× | associate-/l* |
| 636× | associate-/r/ |
| 614× | associate-/l/ |
| 596× | swap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 69 |
| 1 | 247 | 55 |
| 2 | 3273 | 55 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
(/.f64 2 (*.f64 x x)) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1/6 (*.f64 (pow.f64 x -2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 (*.f64 x x)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (pow.f64 x -2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 2 (*.f64 x x))) 1/6))))) |
| 1× | egg-herbie |
| 818× | distribute-lft-neg-in |
| 628× | associate-*r* |
| 576× | +-commutative |
| 538× | *-commutative |
| 514× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 457 | 8138 |
| 1 | 1323 | 6684 |
| 2 | 6396 | 6564 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/288 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/3456 (pow.f64 x 6)) (*.f64 1/288 (pow.f64 x 4))))) |
(/.f64 6 (pow.f64 x 2)) |
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 10368 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))) |
(/.f64 6 (pow.f64 x 2)) |
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 10368 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))) |
(/.f64 2 (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 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) 1/6) (*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (*.f64 (/.f64 1 (*.f64 x x)) -2))) |
(+.f64 (*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/216 (*.f64 8 (pow.f64 (/.f64 1 (*.f64 x x)) 3)))) 1/36) (*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/216 (*.f64 8 (pow.f64 (/.f64 1 (*.f64 x x)) 3)))) (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 -1/3 (/.f64 1 (*.f64 x x)))))) |
(+.f64 (*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/216 (*.f64 8 (pow.f64 (/.f64 1 (*.f64 x x)) 3)))) (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 -1/3 (/.f64 1 (*.f64 x x))))) (*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/216 (*.f64 8 (pow.f64 (/.f64 1 (*.f64 x x)) 3)))) 1/36)) |
(+.f64 (*.f64 1/6 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (*.f64 (*.f64 (/.f64 1 (*.f64 x x)) -2) (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))))) |
(+.f64 (*.f64 1/36 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/216 (*.f64 8 (pow.f64 (/.f64 1 (*.f64 x x)) 3))))) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 -1/3 (/.f64 1 (*.f64 x x)))) (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/216 (*.f64 8 (pow.f64 (/.f64 1 (*.f64 x x)) 3)))))) |
(+.f64 (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 -1/3 (/.f64 1 (*.f64 x x)))) (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/216 (*.f64 8 (pow.f64 (/.f64 1 (*.f64 x x)) 3))))) (*.f64 1/36 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/216 (*.f64 8 (pow.f64 (/.f64 1 (*.f64 x x)) 3)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))))) 1) |
(*.f64 1 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) |
(*.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 1) |
(*.f64 (/.f64 1 (*.f64 x (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))))) (/.f64 1 (*.f64 x (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))))) |
(*.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2) (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) 2) (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))))) |
(*.f64 (+.f64 1/6 (*.f64 (/.f64 1 (*.f64 x x)) -2)) (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) |
(*.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (/.f64 1 (*.f64 x x))) |
(*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 -1/3 (/.f64 1 (*.f64 x x))))) (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/216 (*.f64 8 (pow.f64 (/.f64 1 (*.f64 x x)) 3))))) |
(*.f64 (neg.f64 (/.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 -1/6 (*.f64 (/.f64 1 (*.f64 x x)) -2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2)) |
(*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (/.f64 1 (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (/.f64 (/.f64 1 (*.f64 x x)) (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 2)) (/.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))))) |
(*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 2))) |
(*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (+.f64 1/6 (*.f64 (/.f64 1 (*.f64 x x)) -2))) |
(*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/216 (*.f64 8 (pow.f64 (/.f64 1 (*.f64 x x)) 3)))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 -1/3 (/.f64 1 (*.f64 x x)))))) |
(*.f64 (/.f64 1 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (*.f64 (/.f64 1 (*.f64 x x)) -2)))) |
(*.f64 (/.f64 1 (+.f64 1/216 (*.f64 8 (pow.f64 (/.f64 1 (*.f64 x x)) 3)))) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 -1/3 (/.f64 1 (*.f64 x x))))))) |
(*.f64 (/.f64 1 (+.f64 -1/6 (*.f64 (/.f64 1 (*.f64 x x)) -2))) (neg.f64 (/.f64 1 (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 1 x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (/.f64 1 x)) |
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) x))) |
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) x)) (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2) (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2) (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2) (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 2)) (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (cbrt.f64 (/.f64 1 (*.f64 x x)))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 2))) (cbrt.f64 (/.f64 1 (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (+.f64 -1/6 (/.f64 2 (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1/216 (neg.f64 (*.f64 8 (pow.f64 (/.f64 1 (*.f64 x x)) 3))))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 -1/3 (/.f64 1 (*.f64 x x))))))) |
(*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36)) (-.f64 (/.f64 2 (*.f64 x x)) 1/6)) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 1) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) x) (/.f64 1 x)) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 1 (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x (neg.f64 x))) -1) |
(*.f64 (/.f64 (neg.f64 (/.f64 1 (*.f64 x x))) (neg.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (+.f64 1/6 (*.f64 (/.f64 1 (*.f64 x x)) -2))) |
(*.f64 (/.f64 (neg.f64 (/.f64 1 (*.f64 x x))) (+.f64 -1/216 (neg.f64 (*.f64 8 (pow.f64 (/.f64 1 (*.f64 x x)) 3))))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 -1/3 (/.f64 1 (*.f64 x x)))))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 (*.f64 x x)) (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (sqrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (sqrt.f64 (+.f64 1/6 (*.f64 (/.f64 1 (*.f64 x x)) -2)))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 (*.f64 x x)) (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (sqrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (/.f64 1 (*.f64 x x)) 3))))) (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 -1/3 (/.f64 1 (*.f64 x x))))))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 2)) (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (cbrt.f64 (+.f64 1/6 (*.f64 (/.f64 1 (*.f64 x x)) -2)))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 2)) (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (/.f64 1 (*.f64 x x)) 3))))) (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 -1/3 (/.f64 1 (*.f64 x x))))))) |
(pow.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 1) |
(pow.f64 (/.f64 1 (*.f64 x (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 3) 1/3) |
(pow.f64 (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) -1) |
(neg.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1/6 (*.f64 (/.f64 1 (*.f64 x x)) -2)))) |
(neg.f64 (/.f64 (neg.f64 (/.f64 1 (*.f64 x x))) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) |
(neg.f64 (*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1/6 (*.f64 (/.f64 1 (*.f64 x x)) -2))) 1)) |
(neg.f64 (*.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1/6 (*.f64 (/.f64 1 (*.f64 x x)) -2))))) |
(neg.f64 (*.f64 1 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1/6 (*.f64 (/.f64 1 (*.f64 x x)) -2))))) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 2)) |
(log.f64 (exp.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x))))))) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 3) (pow.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))))) |
(exp.f64 (log.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))))) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (*.f64 x x)))) 1) |
(*.f64 1 (/.f64 2 (*.f64 x x))) |
(*.f64 (pow.f64 x -2) 2) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 2 (*.f64 x x)) 1) |
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x)) |
(*.f64 (/.f64 1 x) (/.f64 2 x)) |
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 2 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 2 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))) |
(*.f64 (/.f64 2 x) (/.f64 1 x)) |
(*.f64 -2 (neg.f64 (pow.f64 x -2))) |
(*.f64 (neg.f64 (pow.f64 x -2)) -2) |
(*.f64 (*.f64 2 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (/.f64 2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 2 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (*.f64 (pow.f64 x -2) -2) -1) |
(pow.f64 (/.f64 2 (*.f64 x x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 2) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 3) |
(pow.f64 (*.f64 x (/.f64 x 2)) -1) |
(pow.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) 1/3) |
(neg.f64 (*.f64 (pow.f64 x -2) -2)) |
(neg.f64 (/.f64 (/.f64 2 x) (neg.f64 x))) |
(sqrt.f64 (/.f64 4 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (*.f64 x x))))) |
(cbrt.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) |
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 2 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (*.f64 x x)))) 5/6) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))) 1) |
(-.f64 (/.f64 1/36 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2))) (/.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)))) |
(-.f64 (+.f64 1/6 (exp.f64 (log1p.f64 (/.f64 2 (*.f64 x x))))) 1) |
(*.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
(*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) 1) |
(*.f64 (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))))) |
(*.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 2) (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))))) |
(*.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (/.f64 1 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)))) |
(*.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 -1/3 (pow.f64 x -2)))))) |
(*.f64 -1 (+.f64 -1/6 (*.f64 (pow.f64 x -2) -2))) |
(*.f64 (sqrt.f64 (+.f64 -1/6 (*.f64 (pow.f64 x -2) -2))) (neg.f64 (sqrt.f64 (+.f64 -1/6 (*.f64 (pow.f64 x -2) -2))))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 -1/6 (*.f64 (pow.f64 x -2) -2))) (cbrt.f64 (+.f64 -1/6 (*.f64 (pow.f64 x -2) -2)))) (neg.f64 (cbrt.f64 (+.f64 -1/6 (*.f64 (pow.f64 x -2) -2))))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (neg.f64 (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 2)) (neg.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))))) |
(*.f64 (/.f64 1 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2))) (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 -1/3 (pow.f64 x -2))))) (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) |
(*.f64 (/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 1/216 (*.f64 -8 (pow.f64 (pow.f64 x -2) 3)))) (+.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (*.f64 (pow.f64 x -2) 1/3))) |
(*.f64 (/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (-.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 (-.f64 (/.f64 2 (*.f64 x x)) 1/6) (-.f64 (/.f64 2 (*.f64 x x)) 1/6))))) (+.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) 1/3))) |
(*.f64 (/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (+.f64 1/46656 (pow.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 -1/3 (pow.f64 x -2))) 3))) (+.f64 1/1296 (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 -1/3 (pow.f64 x -2))) (-.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 -1/3 (pow.f64 x -2))) 1/36)))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 -1/6 (*.f64 (pow.f64 x -2) -2)))) (sqrt.f64 (+.f64 -1/6 (*.f64 (pow.f64 x -2) -2)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 -1/6 (*.f64 (pow.f64 x -2) -2))) (cbrt.f64 (+.f64 -1/6 (*.f64 (pow.f64 x -2) -2))))) (cbrt.f64 (+.f64 -1/6 (*.f64 (pow.f64 x -2) -2)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))))) (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 2))) (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))) |
(/.f64 1 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))) |
(/.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) 1) |
(/.f64 (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (/.f64 1 (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))))) |
(/.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 2) (/.f64 1 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))))) |
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 (pow.f64 x -2) -2))) |
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (/.f64 1 (/.f64 1 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2))))) |
(/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 -1/3 (pow.f64 x -2))))) |
(/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (/.f64 1 (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 -1/3 (pow.f64 x -2))))))) |
(/.f64 (sqrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (/.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (sqrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))))) |
(/.f64 (sqrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 -1/3 (pow.f64 x -2)))) (sqrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))))) |
(/.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 (pow.f64 x -2) -2)) (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 -1/3 (pow.f64 x -2)))) (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))))) |
(/.f64 (neg.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (+.f64 -1/6 (/.f64 2 (*.f64 x x)))) |
(/.f64 (+.f64 -1/216 (neg.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 -1/3 (pow.f64 x -2)))))) |
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (-.f64 (/.f64 2 (*.f64 x x)) 1/6)) |
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (*.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) 1/6))) |
(/.f64 (-.f64 1/46656 (*.f64 64 (*.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 x -2) 3)))) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 -1/3 (pow.f64 x -2)))) (+.f64 1/216 (*.f64 -8 (pow.f64 (pow.f64 x -2) 3))))) |
(/.f64 (+.f64 1/1296 (*.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 4)))) (*.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36))) |
(/.f64 (+.f64 1/10077696 (pow.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) 3)) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 -1/3 (pow.f64 x -2)))) (+.f64 1/46656 (*.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) (-.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) 1/216))))) |
(/.f64 (-.f64 1/46656 (pow.f64 (/.f64 4 (pow.f64 x 4)) 3)) (*.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (+.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (+.f64 1/6 (*.f64 (pow.f64 x -2) -2))) |
(/.f64 (neg.f64 (+.f64 -1/216 (neg.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 -1/3 (pow.f64 x -2))))) |
(pow.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) 1) |
(pow.f64 (sqrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) 3) 1/3) |
(neg.f64 (+.f64 -1/6 (*.f64 (pow.f64 x -2) -2))) |
(neg.f64 (/.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) -1)) |
(sqrt.f64 (pow.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) 2)) |
(log.f64 (exp.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x)))))) |
(cbrt.f64 (pow.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))) |
(exp.f64 (log.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))) |
(log1p.f64 (expm1.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))) |
(fma.f64 1 (/.f64 2 (*.f64 x x)) 1/6) |
(fma.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 (*.f64 x x))) 1/6) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/288 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/288 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/288 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/3456 (pow.f64 x 6)) (*.f64 1/288 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/3456 (pow.f64 x 6) (*.f64 1/288 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/288 (pow.f64 x 4) (*.f64 -1/3456 (pow.f64 x 6)))) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (*.f64 x x)) |
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (/.f64 6 (*.f64 x x)) (/.f64 72 (pow.f64 x 4))) |
(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 (fma.f64 6 (pow.f64 x -2) (/.f64 864 (pow.f64 x 6))) (fma.f64 72 (pow.f64 x -4) (/.f64 10368 (pow.f64 x 8)))) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (*.f64 x x)) |
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (/.f64 6 (*.f64 x x)) (/.f64 72 (pow.f64 x 4))) |
(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 (fma.f64 6 (pow.f64 x -2) (/.f64 864 (pow.f64 x 6))) (fma.f64 72 (pow.f64 x -4) (/.f64 10368 (pow.f64 x 8)))) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(+.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) |
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(+.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)))) |
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(fma.f64 2 (pow.f64 x -2) 1/6) |
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(fma.f64 2 (pow.f64 x -2) 1/6) |
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(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
1/6 |
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(fma.f64 2 (pow.f64 x -2) 1/6) |
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(fma.f64 2 (pow.f64 x -2) 1/6) |
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(fma.f64 2 (pow.f64 x -2) 1/6) |
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(/.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 (pow.f64 x -2) -2 1/6) (+.f64 1/36 (/.f64 4 (pow.f64 x 4))))) |
(/.f64 (+.f64 1/10077696 (pow.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) 3)) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 -1/3 (pow.f64 x -2)))) (+.f64 1/46656 (*.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) (-.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) 1/216))))) |
(/.f64 (/.f64 (+.f64 1/10077696 (*.f64 512 (pow.f64 (pow.f64 (pow.f64 x -2) 3) 3))) (+.f64 (+.f64 1/36 (/.f64 4 (pow.f64 x 4))) (*.f64 -1/3 (pow.f64 x -2)))) (+.f64 1/46656 (*.f64 8 (*.f64 (pow.f64 (pow.f64 x -2) 3) (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) -1/216))))) |
(/.f64 (+.f64 1/10077696 (pow.f64 (/.f64 8 (pow.f64 x 6)) 3)) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (fma.f64 (pow.f64 x -2) -1/3 1/36)) (fma.f64 (/.f64 8 (pow.f64 x 6)) (+.f64 -1/216 (/.f64 8 (pow.f64 x 6))) 1/46656))) |
(/.f64 (-.f64 1/46656 (pow.f64 (/.f64 4 (pow.f64 x 4)) 3)) (*.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (+.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36))))) |
(/.f64 (/.f64 (-.f64 1/46656 (/.f64 64 (pow.f64 (pow.f64 x 4) 3))) (+.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 (pow.f64 x -2) -2 1/6)) (fma.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 4 (pow.f64 x 4))) 1/1296)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (+.f64 1/6 (*.f64 (pow.f64 x -2) -2))) |
(-.f64 (/.f64 1/36 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2)))) (/.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))) |
(+.f64 (/.f64 1/36 (fma.f64 (pow.f64 x -2) -2 1/6)) (/.f64 -4 (*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x -2) -2 1/6)))) |
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (fma.f64 (pow.f64 x -2) -2 1/6)) |
(/.f64 (neg.f64 (+.f64 -1/216 (neg.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 -1/3 (pow.f64 x -2))))) |
(*.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (/.f64 1 (+.f64 (+.f64 1/36 (/.f64 4 (pow.f64 x 4))) (*.f64 -1/3 (pow.f64 x -2))))) |
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (+.f64 (/.f64 4 (pow.f64 x 4)) (fma.f64 (pow.f64 x -2) -1/3 1/36))) |
(pow.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) 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 (*.f64 x x)))) 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 (*.f64 x x)))) 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 (*.f64 x x))) 3) 1/3) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(neg.f64 (+.f64 -1/6 (*.f64 (pow.f64 x -2) -2))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(neg.f64 (/.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) -1)) |
(+.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 (*.f64 x x))) 2)) |
(fabs.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) |
(log.f64 (exp.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))) |
(+.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 (*.f64 x x)))))) |
(+.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 (*.f64 x x))) 3)) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(expm1.f64 (log1p.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))))) |
(+.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 (*.f64 x x))))) |
(+.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 (*.f64 x x))))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(fma.f64 1 (/.f64 2 (*.f64 x x)) 1/6) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(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 (*.f64 x x))) 1/6) |
(fma.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))) 1/6) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (-.f64 2 (cos.f64 x)) |
| ✓ | 2.5b | (-.f64 (-.f64 2 (cos.f64 x)) 1) |
| ✓ | 16.0b | (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
Compiled 29 to 16 computations (44.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 2 (cos.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (-.f64 2 (cos.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (-.f64 (-.f64 2 (cos.f64 x)) 1) |
| 1× | batch-egg-rewrite |
| 1590× | associate-/r* |
| 1386× | associate-/l* |
| 1080× | *-commutative |
| 616× | distribute-lft-in |
| 568× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 57 |
| 1 | 245 | 57 |
| 2 | 3418 | 45 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
(-.f64 (-.f64 2 (cos.f64 x)) 1) |
(-.f64 2 (cos.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)) (*.f64 1 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)) (*.f64 (pow.f64 x -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x -2)) (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -2) 2) (*.f64 (pow.f64 x -2) (+.f64 -1 (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -2) 2) (*.f64 (pow.f64 x -2) (neg.f64 (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -2) -1) (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 x -2))))) (#(struct:change 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(sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (*.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) 2)) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) 2)) (*.f64 (cbrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) 1) (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (*.f64 x x)) (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (*.f64 x x)) (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) 2)) 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(-.f64 3 (cos.f64 x))))) (-.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 2) (-.f64 3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -2) (+.f64 -1 (pow.f64 (-.f64 2 (cos.f64 x)) 3))) (+.f64 (pow.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 2) 3) (pow.f64 (-.f64 3 (cos.f64 x)) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 2) (pow.f64 (-.f64 2 (cos.f64 x)) 2)) (*.f64 (-.f64 3 (cos.f64 x)) (-.f64 3 (cos.f64 x)))) (*.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 2) (-.f64 3 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) 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(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 8 (pow.f64 (cos.f64 x) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (+.f64 2 (cos.f64 x)) (+.f64 16 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2))) (*.f64 1 (neg.f64 (+.f64 2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3))) (*.f64 1 (neg.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) 1) (+.f64 2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (+.f64 2 (cos.f64 x)))) (sqrt.f64 (+.f64 2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 2 (cos.f64 x))) (cbrt.f64 (+.f64 2 (cos.f64 x))))) (cbrt.f64 (+.f64 2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))))) (sqrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))))) (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 2 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 2 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 2 (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 1024× | +-commutative |
| 646× | distribute-lft-in |
| 628× | associate-*r* |
| 608× | associate-*l* |
| 578× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 531 | 8616 |
| 1 | 1603 | 8378 |
| 2 | 7832 | 8378 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
1 |
(+.f64 1 (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))) |
(+.f64 (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)) (neg.f64 (pow.f64 x -2))) |
(+.f64 (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)) (*.f64 1 (neg.f64 (pow.f64 x -2)))) |
(+.f64 (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)) (*.f64 (pow.f64 x -2) -1)) |
(+.f64 (neg.f64 (pow.f64 x -2)) (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (pow.f64 x -2) 2) (*.f64 (pow.f64 x -2) (+.f64 -1 (neg.f64 (cos.f64 x))))) |
(+.f64 (*.f64 (pow.f64 x -2) 2) (*.f64 (pow.f64 x -2) (neg.f64 (+.f64 (cos.f64 x) 1)))) |
(+.f64 (*.f64 (pow.f64 x -2) -1) (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2))) |
(-.f64 (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)))) 1) |
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 x x))) |
(-.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (neg.f64 (pow.f64 x -2)))) |
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (pow.f64 x -2))) |
(*.f64 1 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x))) |
(*.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (pow.f64 x -2)) |
(*.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) 1) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) x) (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) x)) |
(*.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (*.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) 2)) (*.f64 (cbrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (pow.f64 x -2))) |
(*.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (-.f64 (-.f64 2 (cos.f64 x)) 1)) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (pow.f64 x -2)) (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) 2))) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (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 (-.f64 2 (cos.f64 x)) 1)) 1) (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (*.f64 x x)) (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (*.f64 x x)) (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) 1)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) 2)) x) (/.f64 (cbrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) x)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) x) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) 2)) x)) |
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(*.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (-.f64 4 (pow.f64 (cos.f64 x) 2))) (-.f64 2 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (+.f64 8 (pow.f64 (cos.f64 x) 3))) (+.f64 4 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 2 (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (-.f64 16 (*.f64 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))) (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))))) (-.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (+.f64 64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))) 3))) (+.f64 16 (-.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))) (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))) (*.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))))) |
(/.f64 (-.f64 2 (cos.f64 x)) 1) |
(/.f64 1 (/.f64 1 (-.f64 2 (cos.f64 x)))) |
(/.f64 1 (*.f64 1 (/.f64 1 (-.f64 2 (cos.f64 x))))) |
(/.f64 (sqrt.f64 (-.f64 2 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 2 (cos.f64 x))))) |
(/.f64 (cbrt.f64 (-.f64 2 (cos.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 2)))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 2 (cos.f64 x))))) |
(/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (+.f64 2 (cos.f64 x))) |
(/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (+.f64 2 (cos.f64 x))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))) 1)) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (/.f64 1 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))))) |
(/.f64 (sqrt.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))) (sqrt.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 2 (cos.f64 x)) (sqrt.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))) (cbrt.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 2 (cos.f64 x)) (cbrt.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 4 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 2 (cos.f64 x))) |
(/.f64 (-.f64 64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))) (+.f64 8 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 16 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 2 (cos.f64 x)) (+.f64 (pow.f64 (cos.f64 x) 2) 4))) |
(/.f64 (+.f64 8 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 4 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 2 (neg.f64 (cos.f64 x)))))) |
(/.f64 (+.f64 8 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (*.f64 1 (+.f64 4 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 2 (neg.f64 (cos.f64 x))))))) |
(/.f64 (-.f64 512 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))) (+.f64 64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 8 (pow.f64 (cos.f64 x) 3)))))) |
(/.f64 (-.f64 64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (+.f64 2 (cos.f64 x)) (+.f64 16 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) 4))))) |
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 2 (cos.f64 x)))) |
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2))) (*.f64 1 (neg.f64 (+.f64 2 (cos.f64 x))))) |
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3))) (*.f64 1 (neg.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))))) |
(/.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) 1) (+.f64 2 (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (+.f64 2 (cos.f64 x)))) (sqrt.f64 (+.f64 2 (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 2 (cos.f64 x))) (cbrt.f64 (+.f64 2 (cos.f64 x))))) (cbrt.f64 (+.f64 2 (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))))) (sqrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))))) |
(/.f64 (/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))))) (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))))) |
(pow.f64 (-.f64 2 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 2 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 2 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (-.f64 2 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 3)) |
(expm1.f64 (log.f64 (-.f64 3 (cos.f64 x)))) |
(exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 2 (cos.f64 x)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
1 |
(+.f64 1 (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 1/2 (*.f64 x x))) |
(fma.f64 1/2 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))) (fma.f64 1/2 (*.f64 x x) 1)) |
(+.f64 (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)) (neg.f64 (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)) (*.f64 1 (neg.f64 (pow.f64 x -2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)) (*.f64 (pow.f64 x -2) -1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 (neg.f64 (pow.f64 x -2)) (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 (*.f64 (pow.f64 x -2) 2) (*.f64 (pow.f64 x -2) (+.f64 -1 (neg.f64 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 (*.f64 (pow.f64 x -2) 2) (*.f64 (pow.f64 x -2) (neg.f64 (+.f64 (cos.f64 x) 1)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 (*.f64 (pow.f64 x -2) -1) (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (*.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (neg.f64 (pow.f64 x -2)))) |
(+.f64 (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) (neg.f64 (pow.f64 x -2))) |
(-.f64 (/.f64 (-.f64 2 (cos.f64 x)) (*.f64 x x)) (pow.f64 x -2)) |
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (pow.f64 x -2))) |
(+.f64 (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) (neg.f64 (pow.f64 x -2))) |
(-.f64 (/.f64 (-.f64 2 (cos.f64 x)) (*.f64 x x)) (pow.f64 x -2)) |
(*.f64 1 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) x) (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (*.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x))) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) 2)) (*.f64 (cbrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (pow.f64 x -2) (-.f64 (-.f64 2 (cos.f64 x)) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (pow.f64 x -2)) (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1)) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) x)) |
(/.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 8 (pow.f64 (cos.f64 x) 3)) (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)) 4)) |
(/.f64 (/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))))) (sqrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)) 4)) |
(/.f64 (/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))))) (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (+.f64 4 (*.f64 (cos.f64 x) (+.f64 2 (cos.f64 x))))) |
(/.f64 (-.f64 8 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 2 (cos.f64 x)) 4)) |
(pow.f64 (-.f64 2 (cos.f64 x)) 1) |
(-.f64 2 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 2 (cos.f64 x))) 2) |
(-.f64 2 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 2 (cos.f64 x))) 3) |
(-.f64 2 (cos.f64 x)) |
(pow.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 3) 1/3) |
(-.f64 2 (cos.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 2)) |
(fabs.f64 (-.f64 2 (cos.f64 x))) |
(log.f64 (exp.f64 (-.f64 2 (cos.f64 x)))) |
(-.f64 2 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (cos.f64 x))))) |
(-.f64 2 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (-.f64 2 (cos.f64 x)) 3)) |
(-.f64 2 (cos.f64 x)) |
(expm1.f64 (log.f64 (-.f64 3 (cos.f64 x)))) |
(exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(-.f64 2 (cos.f64 x)) |
(log1p.f64 (expm1.f64 (-.f64 2 (cos.f64 x)))) |
(-.f64 2 (cos.f64 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 1 (-.f64 1 (cos.f64 x))) | |
| ✓ | 0.4b | (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
| 2.2b | (-.f64 1 (cos.f64 x)) | |
| ✓ | 12.7b | (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)) |
Compiled 40 to 22 computations (45% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
| 0.0ms | x | @ | inf | (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 1572× | associate-*r/ |
| 1152× | associate-/r* |
| 1148× | associate-*l/ |
| 1028× | *-commutative |
| 706× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 52 |
| 1 | 235 | 46 |
| 2 | 3098 | 46 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 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(*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))))))))) |
| 1× | egg-herbie |
| 1466× | distribute-lft-in |
| 994× | associate-/l* |
| 950× | associate-/l/ |
| 594× | associate-/r/ |
| 564× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 555 | 10185 |
| 1 | 1477 | 9557 |
| 2 | 6495 | 9557 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))) 1) |
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 x (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))) |
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 x) x)) |
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (*.f64 x x) -1)) |
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 -1 (neg.f64 (*.f64 x x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 x x) (neg.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)) 1) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (/.f64 1 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) x)) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (/.f64 (/.f64 (/.f64 1 x) x) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 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 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 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 (/.f64 (/.f64 1 x) x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (/.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (/.f64 1 (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (/.f64 (/.f64 1 x) (/.f64 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 (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 (cbrt.f64 (pow.f64 x 4)) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.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 (-.f64 1 (cos.f64 x))) (*.f64 x x))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))) |
(/.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 -1 (neg.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))))) |
(/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 -1 (neg.f64 x))) |
(/.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 -1 (/.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)) -1) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) (/.f64 -1 (sqrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))))) |
(/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(/.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 x) (sqrt.f64 (/.f64 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 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 1 x) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.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 (sqrt.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 x) (sqrt.f64 x))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 x) (cbrt.f64 x))) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.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 (*.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 (*.f64 x (sqrt.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 1 (cbrt.f64 x))) |
(/.f64 (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) (cbrt.f64 (pow.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (/.f64 1 x) x) (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (/.f64 (/.f64 1 x) x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) (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 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 -1 (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(/.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 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 -1 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))))) |
(/.f64 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 -1 x)) |
(/.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 x) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 x 1) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (/.f64 x (cbrt.f64 (pow.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)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) -1) (/.f64 (/.f64 (/.f64 1 x) x) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) -1))) |
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) -1) (/.f64 (/.f64 (/.f64 1 x) x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) -1))) |
(/.f64 (*.f64 1 (neg.f64 (*.f64 x x))) (+.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) 1) (+.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 1 (*.f64 (*.f64 x x) -1)) (+.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 1 (/.f64 x (/.f64 1 x))) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 1 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 1 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x (*.f64 x -1)) (+.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 1) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 -1)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.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 (*.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) -1) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (/.f64 x 1) x) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 x 1) (*.f64 x -1)) (+.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (pow.f64 (cbrt.f64 x) 2)) (-.f64 1 (cos.f64 x))) |
(/.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 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) -1) 1) (+.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 x (/.f64 1 x)) 1) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 x -1) x) (+.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 1 (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(/.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 x (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) 1) (+.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) -1) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 1 (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 (pow.f64 (*.f64 x x) -1)) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 1 (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 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -1)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))) -1)) |
(/.f64 (/.f64 1 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1)) (pow.f64 x -1)) |
(/.f64 (/.f64 (*.f64 x x) -1) (+.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 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 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 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 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 1) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (sqrt.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 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 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))))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) -1) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (neg.f64 (cbrt.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)))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) -1) (*.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 (*.f64 x x) -1) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) -1) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (/.f64 x (/.f64 1 x)) 1) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (/.f64 x (/.f64 1 x)) -1) (+.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 1) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(pow.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)) 1) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x 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 (/.f64 x (-.f64 1 (cos.f64 x)))) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x 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 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))))) 1) |
(*.f64 1 (/.f64 1 (*.f64 (/.f64 1 (-.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 x x) -1)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))) 1) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))) 2) (cbrt.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))))) |
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) -1) |
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) x) (neg.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (pow.f64 (*.f64 x x) -1) (-.f64 1 (cos.f64 x))) |
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -1) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -1)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1) (pow.f64 x -1)) |
(*.f64 (pow.f64 x -1) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 -1 (neg.f64 (*.f64 x x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) x) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) x) -1) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) -1)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 1 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(pow.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)) -1) |
(pow.f64 (/.f64 1 (*.f64 (/.f64 1 (-.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 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))) 3) 1/3) |
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4))) |
(log.f64 (exp.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))))) |
(exp.f64 (log.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x 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))) |
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/120 (pow.f64 x 4) 2)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (fma.f64 1/3024 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/3024 (pow.f64 x 6)))) |
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (-.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 (/.f64 x (-.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 (/.f64 x (-.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 (/.f64 x (-.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 (/.f64 x (-.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 (/.f64 x (-.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 (/.f64 x (-.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 (/.f64 x (-.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))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/720))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.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 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 (pow.f64 x 4) 1/720 (*.f64 (pow.f64 x 6) -1/40320))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))) 1) |
(*.f64 (/.f64 x (-.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 (/.f64 x (-.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 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))) |
(*.f64 (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 x) x)) |
(*.f64 (/.f64 x (-.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 (*.f64 x x) -1)) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 -1 (neg.f64 (*.f64 x x)))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x x) (neg.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)) 1) |
(*.f64 (/.f64 x (-.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 1 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(*.f64 (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) x)) |
(*.f64 (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (/.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) x) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))) |
(*.f64 (/.f64 x (-.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 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 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 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (-.f64 1 (cos.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 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(/.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 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (/.f64 1 x) x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (*.f64 x x))) (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 (/.f64 (/.f64 1 x) x) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (*.f64 x x))) (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 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (*.f64 x x))) (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 (/.f64 1 x) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (*.f64 x x))) (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 (/.f64 (cbrt.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 (cbrt.f64 x) (-.f64 1 (cos.f64 x))) 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 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 (cbrt.f64 x) (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x)))) |
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(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
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(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
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(/.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 x) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
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(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
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(/.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
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(/.f64 (*.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 1) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
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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 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (*.f64 x x))) (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 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) -1) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) -1)) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (*.f64 x (neg.f64 x))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 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 (sin.f64 x) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 x x) (*.f64 (sin.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 x (sin.f64 x)) (/.f64 x (sin.f64 x))) (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))) (/.f64 (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (*.f64 (/.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))) |
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(/.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) x) (+.f64 1 (pow.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(/.f64 (+.f64 x (*.f64 x (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (*.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 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x))) |
(/.f64 (*.f64 (/.f64 x 1) x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
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(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
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(/.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
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(/.f64 (*.f64 (*.f64 (*.f64 x x) -1) 1) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
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(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
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(/.f64 (*.f64 (*.f64 x -1) x) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
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(/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
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(*.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (sin.f64 x))) 1) (+.f64 1 (cos.f64 x))) |
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(/.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(/.f64 (*.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 x (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(pow.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)) 1) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))) 3) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(pow.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)) 3) 1/3) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) -2))) |
(log.f64 (pow.f64 (exp.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) x)) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)) 3)) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 3) (pow.f64 (*.f64 x x) 3))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (*.f64 x x) -1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))) 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)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))) 2) (cbrt.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.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 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) -1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 1 x) x) (neg.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 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 (pow.f64 (*.f64 x x) -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 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -1) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 1 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)))) |
(/.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 1 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)))) |
(/.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1) (pow.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) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.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 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(*.f64 (/.f64 -1 (neg.f64 (*.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 (/.f64 (/.f64 1 x) x) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 x) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) x))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 x -2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) x) -1) (+.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (neg.f64 (*.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 1 (*.f64 (*.f64 x x) -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 (/.f64 x (/.f64 1 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 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(pow.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)) -1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x 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 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x 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 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4))) |
(log.f64 (exp.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x 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 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x 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 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x 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 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x 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 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
Compiled 32451 to 20486 computations (36.9% saved)
25 alts after pruning (16 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1492 | 8 | 1500 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 8 | 10 |
| Total | 1494 | 25 | 1519 |
| Status | Error | Program |
|---|---|---|
| 32.4b | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) | |
| 46.4b | (/.f64 (/.f64 1 (*.f64 x x)) 1/6) | |
| ✓ | 32.4b | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| 13.9b | (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) | |
| 32.4b | (/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)) | |
| ✓ | 33.4b | (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
| ✓ | 33.3b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 33.0b | (/.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) | |
| 30.3b | (/.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) | |
| 32.4b | (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 x)) | |
| ✓ | 16.3b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 46.4b | (/.f64 6 (*.f64 x x)) | |
| ✓ | 0.5b | (/.f64 1 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x 2)))) |
| 33.3b | (/.f64 1 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 x) x))) | |
| ✓ | 33.3b | (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
| ✓ | 33.3b | (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
| 30.1b | (/.f64 1 (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) (*.f64 x x))) | |
| 32.9b | (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x)))) | |
| ✓ | 30.2b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 29.7b | (*.f64 (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) x) (/.f64 1 x)) | |
| 29.7b | (*.f64 (/.f64 (/.f64 1 x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (/.f64 1 x)) | |
| ✓ | 0.1b | (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) |
| 30.1b | (*.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (/.f64 1 (*.f64 x x))) | |
| 29.4b | 1/2 | |
| 48.0b | 0 |
Compiled 291 to 212 computations (27.1% saved)
| Inputs |
|---|
0 |
1/2 |
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 x x)) 1/6) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 1/2 (*.f64 x x)))) |
(/.f64 1 (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) (*.f64 x x))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
(*.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 1 x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (/.f64 1 x)) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) x) (/.f64 1 x)) |
(/.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (+.f64 1/6 (/.f64 2 (*.f64 x 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 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 x)) |
(/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 1 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 x) x))) |
(/.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x)))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) x))) |
(/.f64 1 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x 2)))) |
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3) |
(*.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)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (*.f64 x 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)))) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) |
2 calls:
| 18.0ms | x |
| 8.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 503 to 290 computations (42.3% saved)
| Inputs |
|---|
0 |
1/2 |
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 x x)) 1/6) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 1/2 (*.f64 x x)))) |
(/.f64 1 (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) (*.f64 x x))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
(*.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 1 x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (/.f64 1 x)) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) x) (/.f64 1 x)) |
(/.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (+.f64 1/6 (/.f64 2 (*.f64 x 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 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 x)) |
(/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 1 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 x) x))) |
(/.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x)))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
2 calls:
| 38.0ms | x |
| 13.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 3 | x |
| 0.7b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 358 to 214 computations (40.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 7.659988578222722e-6 | 67128.32618436305 |
| 18.0ms | -56.79771218097214 | -6.157617704526474e-5 |
| 33.0ms | 304× | body | 256 | valid |
Compiled 394 to 295 computations (25.1% saved)
| Inputs |
|---|
0 |
1/2 |
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 x x)) 1/6) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 1/2 (*.f64 x x)))) |
(/.f64 1 (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) (*.f64 x x))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
(*.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 1 x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (/.f64 1 x)) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) x) (/.f64 1 x)) |
(/.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (+.f64 1/6 (/.f64 2 (*.f64 x 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 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
2 calls:
| 25.0ms | x |
| 10.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 3 | x |
| 0.7b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 206 to 123 computations (40.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 7.659988578222722e-6 | 67128.32618436305 |
| 18.0ms | -56.79771218097214 | -6.157617704526474e-5 |
| 39.0ms | 304× | body | 256 | valid |
Compiled 374 to 275 computations (26.5% saved)
| Inputs |
|---|
0 |
1/2 |
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 x x)) 1/6) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 1/2 (*.f64 x x)))) |
(/.f64 1 (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) (*.f64 x x))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
(*.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 1 x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (/.f64 1 x)) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) x) (/.f64 1 x)) |
(/.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
2 calls:
| 21.0ms | x |
| 8.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 3 | x |
| 0.7b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 158 to 98 computations (38% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 7.659988578222722e-6 | 67128.32618436305 |
| 18.0ms | -56.79771218097214 | -6.157617704526474e-5 |
| 34.0ms | 304× | body | 256 | valid |
Compiled 374 to 275 computations (26.5% saved)
| Inputs |
|---|
0 |
1/2 |
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 x x)) 1/6) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 1/2 (*.f64 x x)))) |
(/.f64 1 (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) (*.f64 x x))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
(*.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 1 x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (/.f64 1 x)) |
(*.f64 (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) x) (/.f64 1 x)) |
(/.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
| Outputs |
|---|
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
1 calls:
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.9b | 1 | x |
Compiled 141 to 88 computations (37.6% saved)
| Inputs |
|---|
0 |
1/2 |
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 x x)) 1/6) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 1/2 (*.f64 x x)))) |
(/.f64 1 (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) (*.f64 x x))) |
| Outputs |
|---|
(/.f64 1 (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) (*.f64 x x))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 1 (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) (*.f64 x x))) |
1 calls:
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.8b | 3 | x |
Compiled 55 to 32 computations (41.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 8.26452527167237e-8 | 7.659988578222722e-6 |
| 19.0ms | -56.79771218097214 | -6.157617704526474e-5 |
| 19.0ms | 160× | body | 256 | valid |
Compiled 253 to 179 computations (29.2% saved)
| Inputs |
|---|
0 |
1/2 |
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 x x)) 1/6) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 1/2 (*.f64 x x)))) |
| Outputs |
|---|
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 6 (*.f64 x x)) |
1 calls:
| 12.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.8b | 3 | x |
Compiled 42 to 25 computations (40.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 7.659988578222722e-6 | 67128.32618436305 |
| 19.0ms | -56.79771218097214 | -6.157617704526474e-5 |
| 34.0ms | 304× | body | 256 | valid |
Compiled 317 to 237 computations (25.2% saved)
| Inputs |
|---|
0 |
1/2 |
(/.f64 6 (*.f64 x x)) |
| Outputs |
|---|
(/.f64 6 (*.f64 x x)) |
1/2 |
(/.f64 6 (*.f64 x x)) |
1 calls:
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 14.0b | 3 | x |
Compiled 10 to 7 computations (30% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 7.659988578222722e-6 | 67128.32618436305 |
| 18.0ms | -56.79771218097214 | -6.157617704526474e-5 |
| 34.0ms | 304× | body | 256 | valid |
Compiled 203 to 161 computations (20.7% saved)
Total -46.4b remaining (-299.1%)
Threshold costs -46.4b (-299.1%)
| Inputs |
|---|
0 |
1/2 |
| Outputs |
|---|
0 |
1/2 |
0 |
1 calls:
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 15.5b | 3 | x |
Compiled 5 to 4 computations (20% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 6.77705434660993e+70 | 1.8344939933817364e+77 |
| 30.0ms | -2.187125875565316e+83 | -4.8345307549761345e+75 |
| 27.0ms | 96× | body | 512 | valid |
| 22.0ms | 192× | body | 256 | valid |
Compiled 121 to 117 computations (3.3% saved)
| 1× | egg-herbie |
| 12× | if-if-or-not |
| 12× | *-commutative |
| 10× | +-commutative |
| 4× | sub-neg |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 492 |
| 1 | 103 | 492 |
| 2 | 107 | 492 |
| 3 | 109 | 492 |
| 4 | 110 | 492 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) |
(if (<=.f64 x -6110483974416289/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 734987459186865/144115188075855872) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(if (<=.f64 x -6110483974416289/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 734987459186865/144115188075855872) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -6110483974416289/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 734987459186865/144115188075855872) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(if (<=.f64 x -2) (/.f64 1 (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) (*.f64 x x))) (if (<=.f64 x 944473296573929/9444732965739290427392) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 1 (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) (*.f64 x x))))) |
(if (<=.f64 x -13/4) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 13/4) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 6 (*.f64 x x)))) |
(if (<=.f64 x -7/2) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3884354678607053/1125899906842624) 1/2 (/.f64 6 (*.f64 x x)))) |
(if (<=.f64 x -38000000000000002431060328548003954604711322286358237913140293745730482339840) 0 (if (<=.f64 x 62000000000000002274953121042543004310884691792308069729646801603252012974080) 1/2 0)) |
0 |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) |
(if (<=.f64 x -6110483974416289/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 734987459186865/144115188075855872) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(if (<=.f64 x -6110483974416289/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 734987459186865/144115188075855872) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (or (<=.f64 x -6110483974416289/1152921504606846976) (not (<=.f64 x 734987459186865/144115188075855872))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(if (<=.f64 x -6110483974416289/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 734987459186865/144115188075855872) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(if (or (<=.f64 x -6110483974416289/1152921504606846976) (not (<=.f64 x 734987459186865/144115188075855872))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (*.f64 2 (/.f64 1 x)))) |
(if (<=.f64 x -2) (/.f64 1 (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) (*.f64 x x))) (if (<=.f64 x 944473296573929/9444732965739290427392) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 1 (*.f64 (+.f64 1/6 (/.f64 2 (*.f64 x x))) (*.f64 x x))))) |
(if (or (<=.f64 x -2) (not (<=.f64 x 944473296573929/9444732965739290427392))) (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(if (<=.f64 x -13/4) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 13/4) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 6 (*.f64 x x)))) |
(if (or (<=.f64 x -13/4) (not (<=.f64 x 13/4))) (/.f64 6 (*.f64 x x)) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(if (<=.f64 x -7/2) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3884354678607053/1125899906842624) 1/2 (/.f64 6 (*.f64 x x)))) |
(if (or (<=.f64 x -7/2) (not (<=.f64 x 3884354678607053/1125899906842624))) (/.f64 6 (*.f64 x x)) 1/2) |
(if (<=.f64 x -38000000000000002431060328548003954604711322286358237913140293745730482339840) 0 (if (<=.f64 x 62000000000000002274953121042543004310884691792308069729646801603252012974080) 1/2 0)) |
0 |
Compiled 192 to 136 computations (29.2% saved)
| 1× | egg-herbie |
| 1634× | associate-/r/ |
| 558× | div-sub |
| 432× | associate-/l* |
| 410× | associate-+r+ |
| 378× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 322 | 5281 |
| 1 | 893 | 5073 |
| 2 | 3879 | 5023 |
| 1× | node limit |
Compiled 86 to 36 computations (58.1% saved)
Compiled 183 to 120 computations (34.4% saved)
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