Time bar (total: 11.1s)
| 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)
| 1.3s | 2072× | body | 2048 | valid |
| 467.0ms | 1496× | body | 512 | valid |
| 409.0ms | 3486× | body | 256 | valid |
| 409.0ms | 1118× | body | 1024 | valid |
| 114.0ms | 84× | 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 |
|---|---|---|
| ▶ | 28.6b | (/.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 |
|---|---|---|
| ✓ | 2.3b | (-.f64 1 (cos.f64 x)) |
| ✓ | 14.8b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 20 to 9 computations (55% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (-.f64 1 (cos.f64 x)) |
| 0.0ms | x | @ | inf | (-.f64 1 (cos.f64 x)) |
| 1× | batch-egg-rewrite |
| 1514× | associate-*r/ |
| 1354× | associate-/r* |
| 1182× | associate-/l* |
| 1142× | associate-*l/ |
| 872× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 34 |
| 1 | 190 | 34 |
| 2 | 2636 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(-.f64 1 (cos.f64 x)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) 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(cos.f64 x)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 552× | div-sub |
| 432× | associate-/l* |
| 432× | associate-+r+ |
| 390× | associate-+l+ |
| 370× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 321 | 5119 |
| 1 | 890 | 4897 |
| 2 | 3946 | 4843 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) |
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (pow.f64 x -2)) |
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x)))) |
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(+.f64 1 (neg.f64 (cos.f64 x))) |
(+.f64 (neg.f64 (cos.f64 x)) 1) |
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(*.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) 1) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 1 (cos.f64 x))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 1 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 (*.f64 1/2 x) x) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
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(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(-.f64 1 (cos.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(-.f64 1 (cos.f64 x)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(-.f64 1 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(-.f64 1 (cos.f64 x)) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
Compiled 4007 to 2144 computations (46.5% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 183 | 15 | 198 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 183 | 16 | 199 |
| Status | Error | Program |
|---|---|---|
| 28.1b | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) | |
| ▶ | 28.6b | (/.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) (*.f64 x x)) |
| 28.6b | (/.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) | |
| 15.1b | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x))))) (*.f64 x x)) | |
| ▶ | 28.6b | (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
| ✓ | 28.6b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 28.6b | (/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) | |
| 15.7b | (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2))) | |
| ▶ | 15.0b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 28.3b | (-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) | |
| ▶ | 33.8b | (+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
| ▶ | 34.0b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 28.5b | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) | |
| 28.0b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) | |
| 28.6b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) | |
| 33.3b | 1/2 |
Compiled 409 to 294 computations (28.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| ✓ | 14.5b | (/.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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(sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))))) (#(struct:change #<rule 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x 1/2)) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))))) |
| 1× | egg-herbie |
| 1428× | associate-/r* |
| 1248× | associate-/l/ |
| 824× | distribute-rgt-in |
| 818× | distribute-lft-in |
| 728× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 284 | 5218 |
| 1 | 760 | 4964 |
| 2 | 3094 | 4964 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) |
(*.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 x -2))) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (/.f64 1 (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 4)) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))) (sin.f64 x)) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) x) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (pow.f64 (cbrt.f64 x) 4)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) 1)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 x x)) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6)) |
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2)) |
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) 1)) |
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 x (neg.f64 x))))) |
(neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x x))) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) |
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x))))) |
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(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
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(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)) |
(fabs.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))) |
(fabs.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 3) (pow.f64 x 6))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3)) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1)) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 -1/24 (*.f64 x x)) |
Compiled 19 to 10 computations (47.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 -1/24 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 -1/24 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 -1/24 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1080× | add-sqr-sqrt |
| 1058× | *-un-lft-identity |
| 1006× | pow1 |
| 990× | add-cube-cbrt |
| 982× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 122 | 13 |
| 2 | 1411 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/24 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/576 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1470× | distribute-rgt-in |
| 1446× | distribute-lft-in |
| 1164× | log-prod |
| 760× | associate-*r* |
| 696× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 299 |
| 1 | 93 | 299 |
| 2 | 348 | 299 |
| 3 | 1913 | 299 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2) |
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3) |
(sqrt.f64 (*.f64 1/576 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(sqrt.f64 (*.f64 1/576 (pow.f64 x 4))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1 (-.f64 1 (cos.f64 x))) |
| ✓ | 0.2b | (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
| 2.3b | (-.f64 1 (cos.f64 x)) | |
| ✓ | 14.8b | (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
Compiled 38 to 23 computations (39.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 1 (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 1 (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
| 1× | batch-egg-rewrite |
| 1300× | associate-/l* |
| 1008× | *-commutative |
| 664× | associate-/l/ |
| 646× | associate-/r/ |
| 580× | swap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 51 |
| 1 | 245 | 51 |
| 2 | 3076 | 51 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 1 (/.f64 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 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (/.f64 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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 1 (pow.f64 (cos.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3)))) (+.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 1 (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 (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 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))))) (#(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 (cos.f64 x) -1)))))))) |
| 1× | egg-herbie |
| 1004× | associate-+r+ |
| 772× | associate-*l* |
| 762× | associate-*r* |
| 552× | +-commutative |
| 540× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 478 | 7021 |
| 1 | 1365 | 6723 |
| 2 | 6121 | 6723 |
| 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)) |
(/.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 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2)) |
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 x -2)) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (neg.f64 (*.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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) 1) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) -1) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (+.f64 (cos.f64 x) -1))) -1) |
(*.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 (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 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 1)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) -1) 1) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) -1) -1) (-.f64 1 (cos.f64 x))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x))) 1)) |
(neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (neg.f64 (*.f64 x x))))) |
(neg.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2)) |
(log.f64 (exp.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(+.f64 1 (neg.f64 (cos.f64 x))) |
(+.f64 (neg.f64 (cos.f64 x)) 1) |
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (/.f64 (cos.f64 x) 1)) |
(-.f64 0 (-.f64 (cos.f64 x) 1)) |
(-.f64 (exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) 1) |
(-.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))) |
(-.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (*.f64 (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 -1 (+.f64 (cos.f64 x) -1)) |
(*.f64 (+.f64 (cos.f64 x) -1) -1) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (neg.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1))) (neg.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) -1) (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) -1) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) -1)) |
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) -1) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) -1)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) -1) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.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 (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 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 1)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) -1) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1))) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) -1) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(neg.f64 (+.f64 (cos.f64 x) -1)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) -1))) |
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 -1 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(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 (*.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 (cos.f64 x) -1)))) 1) |
(*.f64 1 (/.f64 -1 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 1) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -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 (cos.f64 x) -1)))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))) |
(*.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 (cos.f64 x) -1))) |
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) -1) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) -1) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) -1)) |
(*.f64 (pow.f64 (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 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (cos.f64 x)) -1)) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 -1 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 1) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) |
(*.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 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) 1) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) -1) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 -1 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) 1) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) -1) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(*.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 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3)))) (+.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 1 (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 1) |
(pow.f64 (-.f64 1 (cos.f64 x)) -1) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 2) |
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) 3) |
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3) 1/3) |
(neg.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) |
(log.f64 (exp.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))) |
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) |
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
| 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)))) |
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(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) |
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(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (/.f64 -1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) |
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) -1) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (/.f64 1 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))) |
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (/.f64 -1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
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(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) -1)) |
(*.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 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -1)) (*.f64 (/.f64 (sin.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (sin.f64 x))) |
(*.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)))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
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(/.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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.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 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (+.f64 (*.f64 1 (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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3))) (+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (pow.f64 (cos.f64 x) 6) 1))) |
(*.f64 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3))) (+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 6)))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) 1)) (-.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 1 (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 6))) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (pow.f64 (cos.f64 x) 4) 1))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 6))) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 4)))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (neg.f64 (/.f64 -1 (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 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (neg.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 1) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(pow.f64 (-.f64 1 (cos.f64 x)) -1) |
(/.f64 -1 (+.f64 (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 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) 3) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3) 1/3) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(neg.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) |
(fabs.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(log.f64 (exp.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3)) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.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 (cos.f64 x) -1)))) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 x (*.f64 x -1/24)) |
| ✓ | 0.3b | (*.f64 x -1/24) |
| ✓ | 14.0b | (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) |
Compiled 39 to 28 computations (28.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) |
| 0.0ms | x | @ | inf | (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) |
| 0.0ms | x | @ | 0 | (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) |
| 0.0ms | x | @ | -inf | (*.f64 x -1/24) |
| 0.0ms | x | @ | 0 | (*.f64 x -1/24) |
| 1× | batch-egg-rewrite |
| 1974× | add-sqr-sqrt |
| 1942× | *-un-lft-identity |
| 1822× | add-cube-cbrt |
| 1800× | add-cbrt-cube |
| 208× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 47 |
| 1 | 228 | 47 |
| 2 | 2521 | 47 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) |
(*.f64 x -1/24) |
(*.f64 x (*.f64 x -1/24)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2) (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 1/576)) (-.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x -1/24)) 3)) (+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x -1/24))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -1/24) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x -1/24) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -1/24) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x -1/24)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -1/24))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1/24)) 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 x (*.f64 x -1/24))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/24))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/24)))))))) |
| 1× | egg-herbie |
| 1068× | unswap-sqr |
| 830× | associate--r+ |
| 788× | +-commutative |
| 734× | distribute-lft-in |
| 706× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 1559 |
| 1 | 277 | 1515 |
| 2 | 1386 | 1497 |
| 3 | 6297 | 1497 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 1/720 (pow.f64 x 4)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 1/720 (pow.f64 x 4)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.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 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24))) |
(+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x -1/24))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) 1) |
(*.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1) |
(*.f64 1 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(*.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(*.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2) (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 1/576)) (-.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x -1/24)) 3)) (+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24)))))) |
(pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 3) |
(pow.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 2)) |
(log.f64 (exp.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))) |
(cbrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(exp.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/24))) 1) |
(pow.f64 (*.f64 x -1/24) 1) |
(pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3) |
(pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x -1/24) 2)) |
(log.f64 (pow.f64 (exp.f64 x) -1/24)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/24)))) |
(cbrt.f64 (pow.f64 (*.f64 x -1/24) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x -1/24))) |
(exp.f64 (log.f64 (*.f64 x -1/24))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x -1/24)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x -1/24))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) 1) |
(pow.f64 (*.f64 x (*.f64 x -1/24)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/24))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576)) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/24))))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/24)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/24))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/24)))) |
| Outputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 1/720 (pow.f64 x 4)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 1/720 (pow.f64 x 4)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x -1/24))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) 1) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 1 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2)) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2) (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 1/576)) (-.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24)))) |
(/.f64 (-.f64 (*.f64 1/518400 (*.f64 (pow.f64 x 4) (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 1/576)) (-.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x)))) |
(/.f64 (fma.f64 1/518400 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 1/720 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/24))) |
(/.f64 (pow.f64 x 4) (/.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x 1/24))) (fma.f64 (pow.f64 x 4) 1/518400 -1/576))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x -1/24)) 3)) (+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24)))))) |
(/.f64 (+.f64 (*.f64 1/373248000 (pow.f64 (pow.f64 x 4) 3)) (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) (+.f64 (*.f64 1/518400 (*.f64 (pow.f64 x 4) (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 1/720 (*.f64 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))))) |
(/.f64 (fma.f64 1/373248000 (pow.f64 (pow.f64 x 4) 3) (*.f64 -1/13824 (pow.f64 (*.f64 x x) 3))) (fma.f64 1/518400 (pow.f64 x 8) (fma.f64 (pow.f64 x 4) 1/576 (*.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 (pow.f64 x 4) -1/720))))) |
(/.f64 (fma.f64 1/373248000 (pow.f64 (*.f64 x x) 6) (*.f64 -1/13824 (pow.f64 x 6))) (fma.f64 (pow.f64 x 4) 1/576 (fma.f64 1/720 (*.f64 (pow.f64 x 6) 1/24) (*.f64 1/518400 (pow.f64 x 8))))) |
(pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(pow.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 3) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(pow.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3) 1/3) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(sqrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 2)) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(log.f64 (exp.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(cbrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3)) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(expm1.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(exp.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 1)) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(log1p.f64 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/24))) 1) |
(*.f64 -1/24 x) |
(pow.f64 (*.f64 x -1/24) 1) |
(*.f64 -1/24 x) |
(pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2) |
(*.f64 -1/24 x) |
(pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3) |
(*.f64 -1/24 x) |
(pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3) |
(*.f64 -1/24 x) |
(sqrt.f64 (pow.f64 (*.f64 x -1/24) 2)) |
(*.f64 -1/24 x) |
(log.f64 (pow.f64 (exp.f64 x) -1/24)) |
(*.f64 -1/24 x) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/24)))) |
(*.f64 -1/24 x) |
(cbrt.f64 (pow.f64 (*.f64 x -1/24) 3)) |
(*.f64 -1/24 x) |
(expm1.f64 (log1p.f64 (*.f64 x -1/24))) |
(*.f64 -1/24 x) |
(exp.f64 (log.f64 (*.f64 x -1/24))) |
(*.f64 -1/24 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x -1/24)) 1)) |
(*.f64 -1/24 x) |
(log1p.f64 (expm1.f64 (*.f64 x -1/24))) |
(*.f64 -1/24 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(pow.f64 (*.f64 x (*.f64 x -1/24)) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2) |
(*.f64 -1/24 (*.f64 x x)) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/24))) 3) |
(*.f64 -1/24 (*.f64 x x)) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3) 1/3) |
(*.f64 -1/24 (*.f64 x x)) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576)) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24))) |
(*.f64 -1/24 (*.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/24))))) |
(*.f64 -1/24 (*.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3)) |
(*.f64 -1/24 (*.f64 x x)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) |
(*.f64 -1/24 (*.f64 x x)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/24)))) |
(*.f64 -1/24 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/24))) 1)) |
(*.f64 -1/24 (*.f64 x x)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/24)))) |
(*.f64 -1/24 (*.f64 x x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
| ✓ | 0.4b | (pow.f64 (-.f64 1 (cos.f64 x)) 3) |
| 2.3b | (-.f64 1 (cos.f64 x)) | |
| ✓ | 14.8b | (/.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) (*.f64 x x)) |
Compiled 40 to 25 computations (37.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) (*.f64 x x)) |
| 1.0ms | x | @ | 0 | (/.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) (*.f64 x x)) |
| 1.0ms | x | @ | inf | (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
| 1.0ms | x | @ | -inf | (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
| 0.0ms | x | @ | -inf | (pow.f64 (-.f64 1 (cos.f64 x)) 3) |
| 1× | batch-egg-rewrite |
| 1602× | associate-*r/ |
| 1254× | associate-/r* |
| 1186× | associate-*l/ |
| 1146× | associate-/l* |
| 1006× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 51 |
| 1 | 287 | 51 |
| 2 | 3353 | 51 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) (*.f64 x x)) |
(pow.f64 (-.f64 1 (cos.f64 x)) 3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
| Outputs |
|---|
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x))) (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)) (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))) (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))))) (#(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 (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))))) (#(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 (log1p.f64 (-.f64 1 (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 |
| 1318× | associate-+l+ |
| 1040× | associate-/l* |
| 668× | associate-*l* |
| 648× | associate-*r* |
| 624× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 495 | 10735 |
| 1 | 1295 | 9131 |
| 2 | 6292 | 9131 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(*.f64 1/8 (pow.f64 x 6)) |
(+.f64 (*.f64 -1/32 (pow.f64 x 8)) (*.f64 1/8 (pow.f64 x 6))) |
(+.f64 (*.f64 7/1920 (pow.f64 x 10)) (+.f64 (*.f64 -1/32 (pow.f64 x 8)) (*.f64 1/8 (pow.f64 x 6)))) |
(+.f64 (*.f64 7/1920 (pow.f64 x 10)) (+.f64 (*.f64 -1/32 (pow.f64 x 8)) (+.f64 (*.f64 -1/3780 (pow.f64 x 12)) (*.f64 1/8 (pow.f64 x 6))))) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4)))) |
(*.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 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3) |
(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x)))) |
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(+.f64 (-.f64 1 (cos.f64 x)) (+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (cos.f64 x))))) |
(+.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (cos.f64 x)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) 1) |
(*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 3)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2) (pow.f64 (-.f64 1 (cos.f64 x)) 3/2)) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 3) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) |
(/.f64 (pow.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 3) (pow.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) 3)) |
(/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (*.f64 1 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 3)) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) |
(/.f64 (*.f64 1 (pow.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 3)) (pow.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) 3)) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
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(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 (*.f64 -1/24 x) x))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1/8 (pow.f64 x 6)) |
(*.f64 (pow.f64 x 6) 1/8) |
(+.f64 (*.f64 -1/32 (pow.f64 x 8)) (*.f64 1/8 (pow.f64 x 6))) |
(fma.f64 -1/32 (pow.f64 x 8) (*.f64 (pow.f64 x 6) 1/8)) |
(fma.f64 (pow.f64 x 6) 1/8 (*.f64 -1/32 (pow.f64 x 8))) |
(+.f64 (*.f64 7/1920 (pow.f64 x 10)) (+.f64 (*.f64 -1/32 (pow.f64 x 8)) (*.f64 1/8 (pow.f64 x 6)))) |
(fma.f64 7/1920 (pow.f64 x 10) (fma.f64 -1/32 (pow.f64 x 8) (*.f64 (pow.f64 x 6) 1/8))) |
(fma.f64 7/1920 (pow.f64 x 10) (fma.f64 (pow.f64 x 6) 1/8 (*.f64 -1/32 (pow.f64 x 8)))) |
(+.f64 (*.f64 7/1920 (pow.f64 x 10)) (+.f64 (*.f64 -1/32 (pow.f64 x 8)) (+.f64 (*.f64 -1/3780 (pow.f64 x 12)) (*.f64 1/8 (pow.f64 x 6))))) |
(fma.f64 7/1920 (pow.f64 x 10) (fma.f64 -1/32 (pow.f64 x 8) (fma.f64 -1/3780 (pow.f64 x 12) (*.f64 (pow.f64 x 6) 1/8)))) |
(fma.f64 7/1920 (pow.f64 x 10) (fma.f64 -1/32 (pow.f64 x 8) (fma.f64 (pow.f64 x 6) 1/8 (*.f64 -1/3780 (pow.f64 x 12))))) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.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)) (cbrt.f64 (*.f64 x x)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 x x)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(/.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 (-.f64 1 (cos.f64 x)) 2)) 1) (*.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 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) |
(/.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.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))) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 x x)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 x x)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x 4))) |
(*.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 (-.f64 1 (cos.f64 x))) x) (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.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)))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(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 (cos.f64 x)) (neg.f64 (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.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))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (-.f64 1 (cos.f64 x)) (+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (cos.f64 x))))) |
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(*.f64 (*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
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(/.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
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(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (sqrt.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
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(/.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.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 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 4) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 (cbrt.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 4) (/.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 3) 1) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
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(pow.f64 (-.f64 1 (cos.f64 x)) 3) |
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
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(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 3) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
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(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 -1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 3) (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) |
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(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 -1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
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(*.f64 (*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
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(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
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(/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 3) 1) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) |
(/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) |
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) |
(/.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 3) 1) (pow.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) 3)) |
(/.f64 (pow.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 3) (pow.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) 3)) |
(/.f64 (pow.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 3) (pow.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) 3)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
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(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 -1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (+.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 -1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (fabs.f64 (sin.f64 x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (fabs.f64 (sin.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (sqrt.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3)) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (pow.f64 (sin.f64 x) 3) (tan.f64 (/.f64 x 2)))) |
(/.f64 (*.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (cos.f64 x))) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (+.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) |
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (cos.f64 x))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 -1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (cos.f64 x))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))) |
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(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
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(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
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(fabs.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
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(pow.f64 (exp.f64 3) (log1p.f64 (neg.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) |
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(pow.f64 (-.f64 1 (cos.f64 x)) 3) |
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(-.f64 1 (cos.f64 x)) |
(+.f64 (neg.f64 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 0 (-.f64 (cos.f64 x) 1)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (cos.f64 x)))) 1) |
(-.f64 1 (cos.f64 x)) |
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(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2))) |
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(/.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
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(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
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(/.f64 (*.f64 (pow.f64 1 1/3) 1) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
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(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (+.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (fabs.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (fabs.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 4))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (cos.f64 x))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) 1) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6))) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(fabs.f64 (-.f64 1 (cos.f64 x))) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(-.f64 1 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(-.f64 1 (cos.f64 x)) |
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
Compiled 22886 to 13583 computations (40.6% saved)
18 alts after pruning (14 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1062 | 9 | 1071 |
| Fresh | 5 | 5 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 3 | 5 |
| Total | 1069 | 18 | 1087 |
| Status | Error | Program |
|---|---|---|
| 28.1b | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) | |
| ✓ | 28.6b | (/.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) (*.f64 x x)) |
| ▶ | 49.1b | (/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
| ✓ | 28.6b | (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
| 29.6b | (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) | |
| 29.0b | (/.f64 (/.f64 1 (expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))) (*.f64 x x)) | |
| ✓ | 28.6b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 28.5b | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| 33.8b | (+.f64 1/2 (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))) | |
| ✓ | 34.0b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| ▶ | 28.5b | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| 28.0b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) | |
| ▶ | 15.3b | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
| ▶ | 0.1b | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
| ▶ | 28.6b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 28.0b | (neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x))) | |
| 15.3b | (neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))) | |
| 33.3b | 1/2 |
Compiled 359 to 256 computations (28.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
| ✓ | 0.1b | (/.f64 (sin.f64 x) x) |
| ✓ | 0.2b | (/.f64 (tan.f64 (*.f64 x 1/2)) x) |
Compiled 33 to 18 computations (45.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (tan.f64 (*.f64 x 1/2)) x) |
| 0.0ms | x | @ | -inf | (/.f64 (sin.f64 x) x) |
| 0.0ms | x | @ | inf | (/.f64 (tan.f64 (*.f64 x 1/2)) x) |
| 0.0ms | x | @ | 0 | (/.f64 (tan.f64 (*.f64 x 1/2)) x) |
| 0.0ms | x | @ | inf | (/.f64 (sin.f64 x) x) |
| 1× | batch-egg-rewrite |
| 1724× | associate-/l* |
| 1050× | unswap-sqr |
| 840× | swap-sqr |
| 400× | associate-/l/ |
| 296× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 61 |
| 1 | 235 | 61 |
| 2 | 3157 | 61 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (tan.f64 (*.f64 x 1/2)) x) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 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1/2)) (sin.f64 x)) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))))))) |
| 1× | egg-herbie |
| 1056× | associate-/r* |
| 1032× | associate-/l* |
| 918× | associate-/r/ |
| 910× | associate-*r* |
| 838× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 666 | 9490 |
| 1 | 1815 | 9352 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/240 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (+.f64 (*.f64 17/40320 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4))))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1) |
(*.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) |
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(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (neg.f64 x)))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x x) (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (neg.f64 x) (/.f64 (sin.f64 x) x))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))) 1)) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x (neg.f64 x)) (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (/.f64 1 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (/.f64 1 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 x (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 x (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) |
(/.f64 (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))) |
(/.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (sqrt.f64 (neg.f64 (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) (/.f64 x (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (cbrt.f64 (neg.f64 (sin.f64 x))))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 x (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (/.f64 x (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 x (*.f64 (cos.f64 (*.f64 x 1/2)) x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (*.f64 x (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 x)) (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x (neg.f64 x))) |
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) (/.f64 x (sin.f64 x)))) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)) (*.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) 1) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x))) |
(/.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)))) |
(/.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sqrt.f64 x)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (cbrt.f64 x)))) |
(/.f64 -1 (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (sin.f64 x))) |
(/.f64 -1 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(/.f64 -1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (neg.f64 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 -1 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (neg.f64 (sin.f64 x))))) |
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (neg.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (neg.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 x (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 x) x))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (sin.f64 x))) (/.f64 x (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (sin.f64 x))))) |
(/.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x))) |
(/.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (sqrt.f64 x)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x))) |
(/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (sin.f64 x)) x))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 (cos.f64 (*.f64 x 1/2)) x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 x (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x (*.f64 (cos.f64 (*.f64 x 1/2)) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) (*.f64 x x)) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 x)) |
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3) 1/3) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 (sin.f64 x) x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))) |
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 x (sin.f64 x)))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) |
(neg.f64 (/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)))) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 x (neg.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 1/24 (*.f64 x x))) |
(fma.f64 1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/240 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/24 (*.f64 x x) (*.f64 1/240 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/240 (pow.f64 x 4) (*.f64 x (*.f64 x 1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (+.f64 (*.f64 17/40320 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 1/24 (*.f64 x x) (fma.f64 17/40320 (pow.f64 x 6) (*.f64 1/240 (pow.f64 x 4))))) |
(+.f64 (fma.f64 1/24 (*.f64 x x) 1/2) (fma.f64 1/240 (pow.f64 x 4) (*.f64 17/40320 (pow.f64 x 6)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) |
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 x x))) |
(fma.f64 -1/6 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/120))) |
(+.f64 1 (fma.f64 (pow.f64 x 4) 1/120 (*.f64 x (*.f64 x -1/6)))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/120)))) |
(+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) -1/5040))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/720))) |
(+.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 (sin.f64 (*.f64 1/2 x)) (*.f64 x (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 1/2 x))))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
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(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3)) |
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(/.f64 (sin.f64 x) x) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
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(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (/.f64 x (tan.f64 (*.f64 1/2 x))) (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 (cos.f64 (*.f64 x 1/2)) x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 1/2 x))))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 x (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 1/2 x))))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x (*.f64 (cos.f64 (*.f64 x 1/2)) (neg.f64 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 1/2 x))))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 x) x)) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) (*.f64 x x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) 2) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) (*.f64 x x)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 3) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3) 1/3) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 (sin.f64 x) x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 x (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(neg.f64 (/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 x (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 1)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 2 (*.f64 x x)) |
| ✓ | 0.3b | (/.f64 1 (/.f64 2 (*.f64 x x))) |
| ✓ | 31.2b | (/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
Compiled 30 to 15 computations (50% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 1 (/.f64 2 (*.f64 x x))) |
| 0.0ms | x | @ | 0 | (/.f64 2 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 2 (*.f64 x x))) |
| 0.0ms | x | @ | inf | (/.f64 2 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1940× | add-sqr-sqrt |
| 1914× | *-un-lft-identity |
| 1800× | add-cube-cbrt |
| 1780× | add-cbrt-cube |
| 180× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 51 |
| 1 | 198 | 49 |
| 2 | 2653 | 49 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 1 (/.f64 2 (*.f64 x x))) |
(/.f64 2 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1/2) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (*.f64 (sqrt.f64 1/2) x) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) (/.f64 (*.f64 (sqrt.f64 1/2) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)) (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (*.f64 x x) x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 x x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) 1) (/.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 (sqrt.f64 1/2) x) (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) x) (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 (*.f64 x x) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (pow.f64 (pow.f64 x -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 2) x) -1) (pow.f64 (/.f64 (sqrt.f64 2) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) -1) (pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2)))))))) |
| 1× | egg-herbie |
| 1616× | associate-*l/ |
| 1450× | associate-/l* |
| 1180× | associate-/r* |
| 876× | unswap-sqr |
| 802× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 188 | 1716 |
| 1 | 479 | 1584 |
| 2 | 2386 | 1578 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (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 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))) 1) |
(*.f64 1 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)) |
(*.f64 (*.f64 (*.f64 x x) 1/2) (pow.f64 x -2)) |
(*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2) 1) |
(*.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (*.f64 (sqrt.f64 1/2) x) (pow.f64 x -2))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) (/.f64 (*.f64 (sqrt.f64 1/2) x) x)) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)) (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))) |
(*.f64 (*.f64 1/2 (/.f64 (*.f64 x x) x)) (/.f64 1 x)) |
(*.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 x -2))) |
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 (pow.f64 x -2) (*.f64 (*.f64 x x) 1/2)) |
(*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 1 (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) 1) (/.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 x x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 (sqrt.f64 1/2) x) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) x) (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) x)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x x)))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2) 1) |
(pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2) |
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)) 3) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2) 3) 1/3) |
(pow.f64 (*.f64 2 (/.f64 (*.f64 x x) (*.f64 x x))) -1) |
(neg.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x (neg.f64 x)))) |
(sqrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4))) |
(log.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)))) |
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/2))) 1) |
(*.f64 1 (*.f64 (*.f64 x x) 1/2)) |
(*.f64 (*.f64 x x) 1/2) |
(*.f64 (*.f64 (*.f64 x x) 1/2) 1) |
(*.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (sqrt.f64 1/2) x)) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x x) 1/2))) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 1/2 (pow.f64 (pow.f64 x -2) -1)) |
(*.f64 -1 (*.f64 -1/2 (*.f64 x x))) |
(*.f64 (*.f64 1/2 x) x) |
(*.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x))) |
(*.f64 (/.f64 1 (/.f64 2 x)) x) |
(*.f64 -1/2 (*.f64 x (neg.f64 x))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) x) -1) (pow.f64 (/.f64 (sqrt.f64 2) x) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) -1) (pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) -1)) |
(pow.f64 (*.f64 2 (pow.f64 x -2)) -1) |
(pow.f64 (*.f64 (*.f64 x x) 1/2) 1) |
(pow.f64 (*.f64 (sqrt.f64 1/2) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) 3) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) 1/2) 3) 1/3) |
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) 1/2)))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) 1/2) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/2))) |
(exp.f64 (log.f64 (*.f64 (*.f64 x x) 1/2))) |
(exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) -1)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 1/2)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) 1) |
(*.f64 1 (*.f64 2 (pow.f64 x -2))) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (*.f64 2 (pow.f64 x -2)) 1) |
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x)) |
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 (/.f64 2 x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) 2) |
(*.f64 -2 (/.f64 1 (*.f64 x (neg.f64 x)))) |
(pow.f64 (*.f64 2 (pow.f64 x -2)) 1) |
(pow.f64 (*.f64 (*.f64 x x) 1/2) -1) |
(pow.f64 (/.f64 (sqrt.f64 2) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 3) 1/3) |
(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 (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2)))) |
| Outputs |
|---|
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))) 1) |
1/2 |
(*.f64 1 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)) |
1/2 |
(*.f64 (*.f64 (*.f64 x x) 1/2) (pow.f64 x -2)) |
1/2 |
(*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2) 1) |
1/2 |
(*.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (*.f64 (sqrt.f64 1/2) x) (pow.f64 x -2))) |
1/2 |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) (/.f64 (*.f64 (sqrt.f64 1/2) x) x)) |
1/2 |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (pow.f64 x -2) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (/.f64 x (/.f64 2 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)) (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (/.f64 x x)) 2)) (cbrt.f64 (/.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 x 4))))) |
(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4)) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (/.f64 x x)) 2)) (cbrt.f64 (/.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 x 4))))) |
(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4)) |
(*.f64 (*.f64 1/2 (/.f64 (*.f64 x x) x)) (/.f64 1 x)) |
1/2 |
(*.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 x -2))) |
1/2 |
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 x x))) |
1/2 |
(*.f64 (pow.f64 x -2) (*.f64 (*.f64 x x) 1/2)) |
1/2 |
(*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 1 (*.f64 x (neg.f64 x)))) |
1/2 |
(*.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
1/2 |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (*.f64 x x)))) |
(/.f64 (*.f64 1 (/.f64 (*.f64 1/2 (*.f64 x x)) (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x x))) |
(/.f64 1/2 (*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) 1) (/.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 x x))) |
1/2 |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (*.f64 x x))) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (pow.f64 x -2) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (/.f64 x (/.f64 2 x))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 (sqrt.f64 1/2) x) (cbrt.f64 (*.f64 x x)))) |
(/.f64 (*.f64 1 (/.f64 (*.f64 1/2 (*.f64 x x)) (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x x))) |
(/.f64 1/2 (*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x x)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) x) (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) x)) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (pow.f64 x -2) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (/.f64 x (/.f64 2 x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (/.f64 x x)) 2))) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (cbrt.f64 1/2) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 1/2))) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
1/2 |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x x)))) |
(/.f64 (*.f64 1 (/.f64 (*.f64 1/2 (*.f64 x x)) (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x x))) |
(/.f64 1/2 (*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x x)))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2) 1) |
1/2 |
(pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2) |
1/2 |
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)) 3) |
1/2 |
(pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2) 3) 1/3) |
1/2 |
(pow.f64 (*.f64 2 (/.f64 (*.f64 x x) (*.f64 x x))) -1) |
1/2 |
(neg.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x (neg.f64 x)))) |
1/2 |
(sqrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4))) |
1/2 |
(log.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))) |
1/2 |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)))) |
1/2 |
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2) 3)) |
1/2 |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))) |
1/2 |
(exp.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))) |
1/2 |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)) 1)) |
1/2 |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))) |
1/2 |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/2))) 1) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(*.f64 1 (*.f64 (*.f64 x x) 1/2)) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(*.f64 (*.f64 x x) 1/2) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(*.f64 (*.f64 (*.f64 x x) 1/2) 1) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(*.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (sqrt.f64 1/2) x)) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (/.f64 x (/.f64 2 x)))) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x x) 1/2))) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (/.f64 x (/.f64 2 x)))) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(*.f64 1/2 (pow.f64 (pow.f64 x -2) -1)) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(*.f64 -1 (*.f64 -1/2 (*.f64 x x))) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(*.f64 (*.f64 1/2 x) x) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(*.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x))) |
(*.f64 1/2 (*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 1/2 (cbrt.f64 (*.f64 x x)))) |
(*.f64 (/.f64 1 (/.f64 2 x)) x) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(*.f64 -1/2 (*.f64 x (neg.f64 x))) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) x) -1) (pow.f64 (/.f64 (sqrt.f64 2) x) -1)) |
(pow.f64 (/.f64 (sqrt.f64 2) x) -2) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) -1) (pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) (/.f64 1 (cbrt.f64 (*.f64 2 (pow.f64 x -2))))) |
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) 1) (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) |
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 (/.f64 2 x) x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) |
(pow.f64 (*.f64 2 (pow.f64 x -2)) -1) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(pow.f64 (*.f64 (*.f64 x x) 1/2) 1) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(pow.f64 (*.f64 (sqrt.f64 1/2) x) 2) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) 3) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) 1/2) 3) 1/3) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4))) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4)) |
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x))) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) 1/2)))) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) 1/2) 3)) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/2))) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(exp.f64 (log.f64 (*.f64 (*.f64 x x) 1/2))) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) -1)) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 1/2)) 1)) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/2))) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 x (/.f64 2 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) 1) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(*.f64 1 (*.f64 2 (pow.f64 x -2))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 (/.f64 2 x) x) |
(*.f64 (*.f64 2 (pow.f64 x -2)) 1) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x)) |
(pow.f64 (/.f64 (sqrt.f64 2) x) 2) |
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 (/.f64 2 x) x))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 (/.f64 2 x) x))) |
(*.f64 (/.f64 2 x) (/.f64 1 x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(*.f64 (pow.f64 x -2) 2) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(*.f64 -2 (/.f64 1 (*.f64 x (neg.f64 x)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(pow.f64 (*.f64 2 (pow.f64 x -2)) 1) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(pow.f64 (*.f64 (*.f64 x x) 1/2) -1) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(pow.f64 (/.f64 (sqrt.f64 2) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(pow.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 3) 1/3) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(sqrt.f64 (/.f64 4 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2))))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 3)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) 1)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 -1 (*.f64 x x)) |
| ✓ | 2.3b | (+.f64 -1 (cos.f64 x)) |
| ✓ | 15.1b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
Compiled 27 to 13 computations (51.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 -1 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 -1 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1048× | *-commutative |
| 902× | unswap-sqr |
| 878× | associate-/r* |
| 580× | swap-sqr |
| 498× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 53 |
| 1 | 221 | 49 |
| 2 | 3002 | 49 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(+.f64 -1 (cos.f64 x)) |
(/.f64 -1 (*.f64 x x)) |
| Outputs |
|---|
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0 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) -1))))) |
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| 1× | egg-herbie |
| 1136× | associate-/l* |
| 858× | associate-*r* |
| 796× | associate-*l* |
| 738× | associate-/r* |
| 634× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 583 | 9542 |
| 1 | 1712 | 8576 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8))))) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (+.f64 -1 (cos.f64 x))))) 1) |
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))) |
(/.f64 -1 (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 -1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (neg.f64 (pow.f64 x -2)) (/.f64 1 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (+.f64 -1 (cos.f64 x))) 1) |
(/.f64 1 (/.f64 (*.f64 x x) (+.f64 1 (neg.f64 (cos.f64 x))))) |
(/.f64 1 (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 -1 x) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 (/.f64 -1 x) (/.f64 (+.f64 x (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 (pow.f64 x -2)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) -1)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) 1)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (/.f64 -1 x))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 (pow.f64 x -2)))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) -1)) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) 1)) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 x (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x)) (/.f64 -1 x))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
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(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (-.f64 -1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (-.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1)) |
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3))) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) 1) (-.f64 (cos.f64 x) -1)) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3))) (*.f64 (-.f64 -1 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (-.f64 (pow.f64 (cos.f64 x) 3) -1))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (-.f64 -1 (cos.f64 x)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (-.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (-.f64 -1 (cos.f64 x)))) (sqrt.f64 (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (-.f64 -1 (cos.f64 x))) (cbrt.f64 (-.f64 -1 (cos.f64 x))))) (cbrt.f64 (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (cos.f64 x))) |
(/.f64 (neg.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 (+.f64 -1 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) 1/3) |
(neg.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) 1))) |
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(sqrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (+.f64 -1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3)) |
(expm1.f64 (log.f64 (+.f64 0 (cos.f64 x)))) |
(exp.f64 (log.f64 (+.f64 -1 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (+.f64 -1 (cos.f64 x)))) |
(fma.f64 1 (cos.f64 x) -1) |
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) -1) |
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))) 1) |
(*.f64 -1 (pow.f64 x -2)) |
(*.f64 (neg.f64 (pow.f64 x -2)) 1) |
(*.f64 1 (neg.f64 (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x)) |
(*.f64 (/.f64 (sqrt.f64 -1) x) (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (neg.f64 (*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))) |
(*.f64 (/.f64 -1 x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) -1) |
(*.f64 (sqrt.f64 (pow.f64 x -2)) (neg.f64 (sqrt.f64 (pow.f64 x -2)))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2))) (neg.f64 (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(*.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (neg.f64 (/.f64 (sqrt.f64 -1) x))) |
(*.f64 (/.f64 1 x) (/.f64 -1 x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x -2))) (sqrt.f64 (pow.f64 x -2))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (/.f64 (sqrt.f64 -1) x)) |
(*.f64 (neg.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x)))) |
(pow.f64 (neg.f64 (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) 1/3) |
(pow.f64 (*.f64 x (neg.f64 x)) -1) |
(neg.f64 (pow.f64 x -2)) |
(sqrt.f64 (/.f64 1 (pow.f64 x 4))) |
(log.f64 (exp.f64 (neg.f64 (pow.f64 x -2)))) |
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3)) |
(expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))) |
(exp.f64 (log.f64 (neg.f64 (pow.f64 x -2)))) |
(log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 (pow.f64 x 4) 1/24 (*.f64 x (*.f64 x -1/2))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6)))) |
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/720))) |
(fma.f64 (pow.f64 x 4) 1/24 (fma.f64 (pow.f64 x 6) -1/720 (*.f64 x (*.f64 x -1/2)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8))))) |
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/720 (pow.f64 x 6) (*.f64 1/40320 (pow.f64 x 8))))) |
(fma.f64 (pow.f64 x 4) 1/24 (fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 6) -1/720 (*.f64 1/40320 (pow.f64 x 8))))) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (+.f64 -1 (cos.f64 x))))) 1) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 -1 (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 x -2) (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (cos.f64 x))) |
(/.f64 -1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 -1 (*.f64 x (*.f64 x (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x))) |
(/.f64 (neg.f64 (pow.f64 x -2)) (/.f64 1 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (+.f64 -1 (cos.f64 x))) 1) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 1 (/.f64 (*.f64 x x) (+.f64 1 (neg.f64 (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 1 (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 1 (*.f64 (/.f64 (-.f64 -1 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 x)) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 1 (/.f64 (*.f64 x (neg.f64 x)) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (neg.f64 x) (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x))) |
(/.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
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(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (-.f64 -1 (cos.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (-.f64 -1 (cos.f64 x)))) (sqrt.f64 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (-.f64 -1 (cos.f64 x))) (cbrt.f64 (-.f64 -1 (cos.f64 x))))) (cbrt.f64 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (neg.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) |
(pow.f64 (+.f64 -1 (cos.f64 x)) 1) |
(+.f64 -1 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) 2) |
(+.f64 -1 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 3) |
(+.f64 -1 (cos.f64 x)) |
(pow.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) 1/3) |
(+.f64 -1 (cos.f64 x)) |
(neg.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) |
(+.f64 -1 (cos.f64 x)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) 1))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1)) |
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 -1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 -1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(sqrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 2)) |
(fabs.f64 (+.f64 -1 (cos.f64 x))) |
(log.f64 (exp.f64 (+.f64 -1 (cos.f64 x)))) |
(+.f64 -1 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (cos.f64 x))))) |
(+.f64 -1 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3)) |
(+.f64 -1 (cos.f64 x)) |
(expm1.f64 (log.f64 (+.f64 0 (cos.f64 x)))) |
(+.f64 -1 (cos.f64 x)) |
(exp.f64 (log.f64 (+.f64 -1 (cos.f64 x)))) |
(+.f64 -1 (cos.f64 x)) |
(log1p.f64 (expm1.f64 (+.f64 -1 (cos.f64 x)))) |
(+.f64 -1 (cos.f64 x)) |
(fma.f64 1 (cos.f64 x) -1) |
(+.f64 -1 (cos.f64 x)) |
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) -1) |
(+.f64 -1 (cos.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) -1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))) 1) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 -1 (pow.f64 x -2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (neg.f64 (pow.f64 x -2)) 1) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 1 (neg.f64 (pow.f64 x -2))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x)) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (/.f64 (sqrt.f64 -1) x) (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (neg.f64 (*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (/.f64 -1 x) (/.f64 1 x)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) -1) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (sqrt.f64 (pow.f64 x -2)) (neg.f64 (sqrt.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2))) (neg.f64 (cbrt.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (neg.f64 (/.f64 (sqrt.f64 -1) x))) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (/.f64 1 x) (/.f64 -1 x)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x -2))) (sqrt.f64 (pow.f64 x -2))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x -2))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (/.f64 (sqrt.f64 -1) x)) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (neg.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (cbrt.f64 (/.f64 (sqrt.f64 -1) x)))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (cbrt.f64 (/.f64 (sqrt.f64 -1) x)))) |
(pow.f64 (neg.f64 (pow.f64 x -2)) 1) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 3) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) 1/3) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(pow.f64 (*.f64 x (neg.f64 x)) -1) |
(/.f64 1 (*.f64 x (neg.f64 x))) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (*.f64 x x)) |
(sqrt.f64 (/.f64 1 (pow.f64 x 4))) |
(log.f64 (exp.f64 (neg.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2))))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(exp.f64 (log.f64 (neg.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 2.3b | (-.f64 1 (cos.f64 x)) | |
| ✓ | 15.1b | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
Compiled 21 to 13 computations (38.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | inf | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1984× | add-sqr-sqrt |
| 1956× | *-un-lft-identity |
| 1826× | add-cube-cbrt |
| 1806× | add-cbrt-cube |
| 196× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 207 | 23 |
| 2 | 2475 | 23 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))))))) |
| 1× | egg-herbie |
| 1018× | associate-*r/ |
| 886× | associate-*r* |
| 822× | associate-*l/ |
| 790× | associate-*l* |
| 682× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 847 |
| 1 | 192 | 843 |
| 2 | 604 | 825 |
| 3 | 3379 | 825 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) 1/2)) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 -1/24 (*.f64 x x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (pow.f64 x -2) (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))) (sin.f64 x)) |
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x) 1))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (pow.f64 x -2) (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))) (sin.f64 x)) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x) 1))) |
(pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
| ✓ | 14.2b | (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) |
Compiled 34 to 18 computations (47.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 1518× | associate-*r/ |
| 1262× | associate-/r* |
| 1162× | associate-*l/ |
| 1092× | *-commutative |
| 980× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 56 |
| 1 | 229 | 56 |
| 2 | 3000 | 56 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 x x)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (tan.f64 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cbrt.f64 (*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 1312× | associate-/l* |
| 802× | distribute-lft-neg-in |
| 724× | distribute-rgt-in |
| 718× | distribute-lft-in |
| 652× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 483 | 8094 |
| 1 | 1291 | 8050 |
| 2 | 5659 | 8050 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/2 x) |
(+.f64 (*.f64 1/24 x) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/240 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 17/40320 (pow.f64 x 5)) (*.f64 1/240 (pow.f64 x 3))))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 1) |
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 -1 (*.f64 x x))) |
(*.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1)) |
(*.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) |
(*.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1)) |
(*.f64 (/.f64 1 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 x x)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 1) |
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(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) -1) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) 1) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) (neg.f64 x)) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) 1) (*.f64 x (neg.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) -1) (*.f64 x x)) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (neg.f64 x)) x) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(pow.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)) 2)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (sin.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)))) |
(exp.f64 (log.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)))) |
| Outputs |
|---|
(/.f64 1/2 x) |
(+.f64 (*.f64 1/24 x) (*.f64 1/2 (/.f64 1 x))) |
(fma.f64 1/24 x (/.f64 1/2 x)) |
(fma.f64 x 1/24 (/.f64 1/2 x)) |
(+.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/240 (pow.f64 x 3)))) |
(+.f64 (fma.f64 1/24 x (/.f64 1/2 x)) (*.f64 1/240 (pow.f64 x 3))) |
(fma.f64 x 1/24 (fma.f64 1/240 (pow.f64 x 3) (/.f64 1/2 x))) |
(+.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 17/40320 (pow.f64 x 5)) (*.f64 1/240 (pow.f64 x 3))))) |
(+.f64 (fma.f64 1/24 x (/.f64 1/2 x)) (fma.f64 17/40320 (pow.f64 x 5) (*.f64 1/240 (pow.f64 x 3)))) |
(+.f64 (fma.f64 x 1/24 (/.f64 1/2 x)) (fma.f64 1/240 (pow.f64 x 3) (*.f64 17/40320 (pow.f64 x 5)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x)))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 2)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 1 x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 -1 (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 x x)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) 2) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) (/.f64 x (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) (*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x)))) |
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(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
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(/.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x)))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (*.f64 x (/.f64 x (tan.f64 (*.f64 1/2 x)))))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) x)) |
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(/.f64 (*.f64 (*.f64 (sin.f64 x) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) x) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(/.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)))) |
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(/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (tan.f64 (*.f64 1/2 x))))) |
(*.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2)))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (fabs.f64 (cbrt.f64 x))) (/.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) x) (neg.f64 x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) 1) (*.f64 x (neg.f64 x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) -1) (*.f64 x x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) 1) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) (cbrt.f64 (pow.f64 x 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 x 4))))) |
(/.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) (neg.f64 x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) 1) (*.f64 x (neg.f64 x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) -1) (*.f64 x x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (neg.f64 x)) x) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) |
(pow.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)) 1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) 2) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x))) 3) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)) 3) 1/3) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) 2)) |
(fabs.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (sin.f64 x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)) 3)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) 3) (pow.f64 (sin.f64 x) 3))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(exp.f64 (log.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
Compiled 21586 to 12630 computations (41.5% saved)
23 alts after pruning (17 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1188 | 12 | 1200 |
| Fresh | 4 | 5 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 6 | 8 |
| Total | 1195 | 23 | 1218 |
| Status | Error | Program |
|---|---|---|
| 28.1b | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) | |
| 43.5b | (/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) | |
| 28.0b | (/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) | |
| 48.7b | (/.f64 (/.f64 x (/.f64 2 x)) (*.f64 x x)) | |
| ▶ | 49.2b | (/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x)) |
| ✓ | 28.6b | (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
| 29.6b | (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) | |
| 28.0b | (/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) | |
| ✓ | 28.6b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 48.6b | (/.f64 (*.f64 (/.f64 1 (/.f64 2 x)) x) (*.f64 x x)) | |
| ▶ | 28.0b | (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
| ▶ | 0.1b | (/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) x) |
| 28.6b | (/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))) | |
| ▶ | 28.5b | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
| 33.8b | (+.f64 1/2 (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))) | |
| ✓ | 34.0b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| ✓ | 28.5b | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| ✓ | 0.1b | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
| ▶ | 48.4b | (*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
| ✓ | 28.6b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 49.1b | (*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) | |
| 28.5b | (*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (+.f64 -1 (cos.f64 x))) | |
| 33.3b | 1/2 |
Compiled 440 to 305 computations (30.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) x) |
| 0.2b | (/.f64 (tan.f64 (*.f64 x 1/2)) x) | |
| ✓ | 0.2b | (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
Compiled 38 to 23 computations (39.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
| 0.0ms | x | @ | inf | (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
| 0.0ms | x | @ | 0 | (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) x) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) x) |
| 1× | batch-egg-rewrite |
| 944× | unswap-sqr |
| 872× | swap-sqr |
| 762× | associate-/r/ |
| 560× | associate-/l/ |
| 416× | sqr-pow |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 60 |
| 1 | 233 | 60 |
| 2 | 3147 | 60 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) x) |
| Outputs |
|---|
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(pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))))))) |
| 1× | egg-herbie |
| 1348× | unswap-sqr |
| 1236× | associate-/r/ |
| 578× | distribute-rgt-in |
| 574× | distribute-lft-in |
| 334× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 283 | 4485 |
| 1 | 761 | 4481 |
| 2 | 2879 | 4481 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))))) 1) |
(/.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) 1) |
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(/.f64 1 (*.f64 1 (/.f64 x (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) x) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) x) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) 3) 1/3) |
(neg.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) 1) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (*.f64 (sin.f64 x) (/.f64 1 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 x)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) x)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (/.f64 1 (neg.f64 x)) (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) x))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 x) x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (cbrt.f64 x) 2) x)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) x) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x 1)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (/.f64 1 (/.f64 x (sin.f64 x))) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 x (/.f64 x (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2) x) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 3) 1/6)) |
(*.f64 (pow.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x))) -1/2) (pow.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x))) -1/2)) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x))) -1) |
(neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) (neg.f64 x))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (*.f64 (sin.f64 x) (/.f64 1 x)))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) 1)) |
(neg.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 x)))) |
(neg.f64 (*.f64 1 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) (neg.f64 x)))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))) |
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 x (sin.f64 x)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))) x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 2)) |
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x)) |
(fma.f64 1/2 x (*.f64 -1/24 (pow.f64 x 3))) |
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/720 (pow.f64 x 5) (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 1/720 (pow.f64 x 5) (*.f64 -1/40320 (pow.f64 x 7))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))))) 1) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) 1) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(/.f64 1 (*.f64 1 (/.f64 x (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) x) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x (cos.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) x) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) 1) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 3) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) 3) 1/3) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(neg.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) 2)) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) 3)) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) (pow.f64 (sin.f64 x) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 1)) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
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(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))) 2))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x))) 2)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))) 2))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x))) 2)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 3/2)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 3) 1/6)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (pow.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x))) -1/2) (pow.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x))) -1/2)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 3) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 3) 1/3) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(pow.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x))) -1) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) (neg.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (*.f64 (sin.f64 x) (/.f64 1 x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(neg.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) 1)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(neg.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(neg.f64 (*.f64 1 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) (neg.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 x (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 2)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 3)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 3))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 1/2 x))) 3) (pow.f64 x 3))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 1)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
| ✓ | 30.3b | (/.f64 (*.f64 x x) x) |
Compiled 23 to 9 computations (60.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (*.f64 x x) x) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 x x) x) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 x x) x) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
| 1× | batch-egg-rewrite |
| 1480× | add-sqr-sqrt |
| 1454× | *-un-lft-identity |
| 1374× | add-cube-cbrt |
| 1354× | add-cbrt-cube |
| 172× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 38 |
| 1 | 179 | 2 |
| 2 | 2642 | 2 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x x) x) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.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 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.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) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x . 1/2))))) |
| 1× | egg-herbie |
| 1352× | associate-*r/ |
| 1042× | associate-+r+ |
| 972× | *-commutative |
| 762× | associate-/r/ |
| 712× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 244 |
| 1 | 181 | 214 |
| 2 | 1240 | 162 |
| 3 | 6732 | 162 |
| 1× | node limit |
| Inputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
(-.f64 (exp.f64 (log1p.f64 x)) 1) |
(*.f64 x 1) |
(*.f64 (*.f64 x x) (/.f64 1 x)) |
(*.f64 1 x) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 x x)) |
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 x))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(pow.f64 x 1) |
(pow.f64 (*.f64 x x) 1/2) |
(pow.f64 (sqrt.f64 x) 2) |
(pow.f64 (cbrt.f64 x) 3) |
(pow.f64 (pow.f64 x 3) 1/3) |
(pow.f64 (/.f64 1 x) -1) |
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 x))) |
(sqrt.f64 (*.f64 x x)) |
(fabs.f64 x) |
(log.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 x))) |
(cbrt.f64 (pow.f64 x 3)) |
(expm1.f64 (log1p.f64 x)) |
(exp.f64 (log.f64 x)) |
(exp.f64 (*.f64 (log.f64 x) 1)) |
(log1p.f64 (expm1.f64 x)) |
1/2 |
| Outputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
(-.f64 (exp.f64 (log1p.f64 x)) 1) |
x |
(*.f64 x 1) |
x |
(*.f64 (*.f64 x x) (/.f64 1 x)) |
x |
(*.f64 1 x) |
x |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
x |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) |
x |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) |
x |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 x))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 x)) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 x (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 x)) |
(*.f64 (/.f64 1 x) (*.f64 x x)) |
x |
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 x))) |
x |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (fabs.f64 (cbrt.f64 x))) |
(*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x))) |
x |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x))) |
x |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x))) |
x |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) x)) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 x)) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 x (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 x))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 x)) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 x (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 x)) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 x (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 x)) |
(pow.f64 x 1) |
x |
(pow.f64 (*.f64 x x) 1/2) |
x |
(pow.f64 (sqrt.f64 x) 2) |
x |
(pow.f64 (cbrt.f64 x) 3) |
x |
(pow.f64 (pow.f64 x 3) 1/3) |
x |
(pow.f64 (/.f64 1 x) -1) |
x |
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 x))) |
x |
(sqrt.f64 (*.f64 x x)) |
x |
(fabs.f64 x) |
x |
(log.f64 (exp.f64 x)) |
x |
(log.f64 (+.f64 1 (expm1.f64 x))) |
x |
(cbrt.f64 (pow.f64 x 3)) |
x |
(expm1.f64 (log1p.f64 x)) |
x |
(exp.f64 (log.f64 x)) |
x |
(exp.f64 (*.f64 (log.f64 x) 1)) |
x |
(log1p.f64 (expm1.f64 x)) |
x |
1/2 |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (/.f64 2 x) x) |
| ✓ | 0.3b | (/.f64 1 (/.f64 (/.f64 2 x) x)) |
| ✓ | 31.2b | (/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x)) |
Compiled 33 to 20 computations (39.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 2 x) x) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 (/.f64 2 x) x)) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1076× | *-commutative |
| 1016× | associate-/r/ |
| 912× | associate-/l/ |
| 826× | unswap-sqr |
| 652× | swap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 63 |
| 1 | 222 | 51 |
| 2 | 3130 | 51 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x)) |
(/.f64 1 (/.f64 (/.f64 2 x) x)) |
(/.f64 (/.f64 2 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) x) (*.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) x) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) x) (/.f64 1 (*.f64 (*.f64 x x) (/.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (/.f64 (sqrt.f64 2) x))) (/.f64 1 (*.f64 x (/.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) 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| 1× | egg-herbie |
| 1154× | associate-*r/ |
| 1050× | associate-*r* |
| 1018× | *-commutative |
| 1016× | associate-*l* |
| 846× | associate-*l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 604 | 6327 |
| 1 | 1833 | 5505 |
| 2 | 7666 | 5505 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (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)) |
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(*.f64 (*.f64 x 1/2) (*.f64 x (pow.f64 x -2))) |
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(*.f64 (/.f64 1 x) (*.f64 (*.f64 x 1/2) (/.f64 x x))) |
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(*.f64 (*.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) x) (pow.f64 x -2)) (*.f64 (/.f64 1 (sqrt.f64 2)) x)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (pow.f64 x -2)) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4)))) |
(*.f64 (*.f64 x (pow.f64 x -2)) (*.f64 x 1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 x (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 2 x)))) |
(*.f64 (/.f64 x x) (/.f64 (*.f64 x 1/2) x)) |
(*.f64 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 2 x))) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
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(*.f64 (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) x) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) x)) |
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) (/.f64 (sqrt.f64 2) x))) (*.f64 (/.f64 1 (sqrt.f64 2)) x)) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) x) (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sqrt.f64 2) x)))) |
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(pow.f64 (*.f64 x (*.f64 x 1/2)) 1) |
(pow.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) 1/3) |
(neg.f64 (*.f64 x (*.f64 x -1/2))) |
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4))) |
(log.f64 (exp.f64 (*.f64 x (*.f64 x 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/2))))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/2)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x 1/2)))) |
(exp.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 2 x)))) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/2)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) 1) |
(*.f64 1 (*.f64 2 (pow.f64 x -2))) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 2 (*.f64 (/.f64 1 x) (/.f64 1 x))) |
(*.f64 (/.f64 2 x) (/.f64 1 x)) |
(*.f64 (/.f64 2 x) (neg.f64 (/.f64 -1 x))) |
(*.f64 (*.f64 2 (pow.f64 x -2)) 1) |
(*.f64 (sqrt.f64 (/.f64 2 x)) (*.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 (sqrt.f64 (/.f64 2 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x)) |
(*.f64 (/.f64 (sqrt.f64 2) x) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 2)) x))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2)))))) |
(*.f64 (/.f64 1 x) (/.f64 2 x)) |
(*.f64 (pow.f64 x -2) 2) |
(*.f64 -1 (*.f64 -2 (pow.f64 x -2))) |
(*.f64 (/.f64 -2 x) (/.f64 -1 x)) |
(*.f64 (sqrt.f64 (*.f64 -2 (pow.f64 x -2))) (neg.f64 (sqrt.f64 (*.f64 -2 (pow.f64 x -2))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))) (neg.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))))) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) 2) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 1 x)) (sqrt.f64 (/.f64 2 x))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 2 (*.f64 x (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 2 x) (cbrt.f64 x))) |
(*.f64 (/.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x))) |
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x))) |
(*.f64 (/.f64 2 (*.f64 x (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 2 x) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 2)) x) (/.f64 (neg.f64 (sqrt.f64 2)) x)) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) (neg.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))))) |
(*.f64 (/.f64 -1 x) (/.f64 -2 x)) |
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (/.f64 2 (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (/.f64 2 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) x) (sqrt.f64 (/.f64 2 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 2 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 x)) x)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 2 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (/.f64 2 x)))) (sqrt.f64 (/.f64 2 x))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 2 x)) 2))) (cbrt.f64 (/.f64 2 x))) |
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 4 (pow.f64 x 4))))) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) x) 1) (/.f64 (sqrt.f64 2) x)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) x) (sqrt.f64 -1)) (sqrt.f64 (*.f64 -2 (pow.f64 x -2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) x) (cbrt.f64 (/.f64 2 x))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) 1) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) -1) (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 2 x)) |
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 2 (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -2) |
(*.f64 (/.f64 (/.f64 1 x) -1) (/.f64 -2 x)) |
(*.f64 (/.f64 (/.f64 1 x) 1/2) (/.f64 1 x)) |
(*.f64 (/.f64 (/.f64 1 x) (*.f64 1 (sqrt.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 2 x))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2))) (cbrt.f64 (/.f64 2 x))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 -2 (pow.f64 x -2)))) (sqrt.f64 (*.f64 -2 (pow.f64 x -2)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))))) (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))) |
(*.f64 (neg.f64 (/.f64 (neg.f64 (sqrt.f64 2)) x)) (/.f64 (sqrt.f64 2) x)) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))))) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) x)) (sqrt.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) x)) (sqrt.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4)))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))))) (*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 2) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 2) x)))) |
(pow.f64 (*.f64 2 (pow.f64 x -2)) 1) |
(pow.f64 (*.f64 x (*.f64 x 1/2)) -1) |
(pow.f64 (/.f64 (sqrt.f64 2) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 3) 1/3) |
(neg.f64 (*.f64 -2 (pow.f64 x -2))) |
(sqrt.f64 (/.f64 4 (pow.f64 x 4))) |
(log.f64 (exp.f64 (*.f64 2 (pow.f64 x -2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 2 x) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2)))) |
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2)))) |
| Outputs |
|---|
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2)))) 1) |
1/2 |
(*.f64 1 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2))) |
1/2 |
(*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2)) |
1/2 |
(*.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2)) 1) |
1/2 |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) x) (*.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) x) (pow.f64 x -2))) |
(*.f64 (pow.f64 (*.f64 x (/.f64 1 (sqrt.f64 2))) 2) (pow.f64 x -2)) |
(pow.f64 (/.f64 x (*.f64 x (sqrt.f64 2))) 2) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) x) (/.f64 1 (*.f64 (*.f64 x x) (/.f64 (sqrt.f64 2) x)))) |
(*.f64 (pow.f64 (*.f64 x (/.f64 1 (sqrt.f64 2))) 2) (pow.f64 x -2)) |
(pow.f64 (/.f64 x (*.f64 x (sqrt.f64 2))) 2) |
(*.f64 (/.f64 1 (*.f64 x (/.f64 (sqrt.f64 2) x))) (/.f64 1 (*.f64 x (/.f64 (sqrt.f64 2) x)))) |
(*.f64 (pow.f64 (*.f64 x (/.f64 1 (sqrt.f64 2))) 2) (pow.f64 x -2)) |
(pow.f64 (/.f64 x (*.f64 x (sqrt.f64 2))) 2) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 1/2 x) (*.f64 x (pow.f64 x -2)))) (cbrt.f64 (/.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 x 4))))) |
(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4)) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 1/2 x) (*.f64 x (pow.f64 x -2))))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 1/2))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 1/2 x) (*.f64 x (pow.f64 x -2)))) (cbrt.f64 (/.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 x 4))))) |
(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4)) |
(*.f64 (*.f64 (*.f64 x 1/2) (/.f64 x x)) (/.f64 1 x)) |
1/2 |
(*.f64 (*.f64 x 1/2) (*.f64 x (pow.f64 x -2))) |
1/2 |
(*.f64 (*.f64 x 1/2) (/.f64 x (*.f64 x x))) |
1/2 |
(*.f64 (/.f64 1 x) (*.f64 (*.f64 x 1/2) (/.f64 x x))) |
1/2 |
(*.f64 (pow.f64 x -2) (*.f64 x (*.f64 x 1/2))) |
1/2 |
(*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 1 (*.f64 x (neg.f64 x)))) |
1/2 |
(*.f64 (*.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) x) (pow.f64 x -2)) (*.f64 (/.f64 1 (sqrt.f64 2)) x)) |
(*.f64 (pow.f64 (*.f64 x (/.f64 1 (sqrt.f64 2))) 2) (pow.f64 x -2)) |
(pow.f64 (/.f64 x (*.f64 x (sqrt.f64 2))) 2) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (pow.f64 x -2)) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (*.f64 x (pow.f64 x -2)) (*.f64 x 1/2)) |
1/2 |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 x (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 2 x)))) |
(/.f64 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 2 x))) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 x x) (/.f64 (*.f64 x 1/2) x)) |
1/2 |
(*.f64 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 2 x))) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 x (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 2 x)))) |
(/.f64 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 2 x))) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (*.f64 x (*.f64 x -1/2))) |
1/2 |
(*.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sqrt.f64 2) x))) (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) x) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) x) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) x))) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (sqrt.f64 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (*.f64 x x))) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) x) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) x)) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) (/.f64 (sqrt.f64 2) x))) (*.f64 (/.f64 1 (sqrt.f64 2)) x)) |
(*.f64 (pow.f64 (*.f64 x (/.f64 1 (sqrt.f64 2))) 2) (pow.f64 x -2)) |
(pow.f64 (/.f64 x (*.f64 x (sqrt.f64 2))) 2) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) x) (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sqrt.f64 2) x)))) |
(*.f64 (/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) x) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) x))) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (sqrt.f64 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (*.f64 x x)) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) 1)) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) x) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) x)) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 1/2 x) (*.f64 x (pow.f64 x -2))))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 1/2))) |
(*.f64 (/.f64 x (*.f64 x x)) (*.f64 x 1/2)) |
1/2 |
(*.f64 (/.f64 (*.f64 x 1/2) x) (/.f64 x x)) |
1/2 |
(*.f64 (/.f64 x (*.f64 (cbrt.f64 (pow.f64 x 4)) 2)) (/.f64 x (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 x (*.f64 2 (cbrt.f64 (pow.f64 x 4)))) (/.f64 x (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (*.f64 1/2 x) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (*.f64 (cbrt.f64 (pow.f64 x 4)) 2))) |
(*.f64 (/.f64 x (*.f64 2 (cbrt.f64 (pow.f64 x 4)))) (/.f64 x (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (*.f64 1/2 x) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (*.f64 (/.f64 2 x) (*.f64 x x))) x) |
1/2 |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 x x))) (*.f64 x x)) |
1/2 |
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) (/.f64 -2 x))) (neg.f64 x)) |
1/2 |
(*.f64 (/.f64 1 (*.f64 (/.f64 (*.f64 x x) 1) (/.f64 (sqrt.f64 2) x))) (*.f64 (/.f64 1 (sqrt.f64 2)) x)) |
(*.f64 (pow.f64 (*.f64 x (/.f64 1 (sqrt.f64 2))) 2) (pow.f64 x -2)) |
(pow.f64 (/.f64 x (*.f64 x (sqrt.f64 2))) 2) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))))) (cbrt.f64 (*.f64 x (*.f64 x 1/2)))) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (*.f64 x 1/2))) x) |
1/2 |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 x x)) (cbrt.f64 (*.f64 x (*.f64 x 1/2)))) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 x 1/2) (*.f64 x x)) x) |
1/2 |
(*.f64 (/.f64 (pow.f64 x -2) 1) (*.f64 x (*.f64 x 1/2))) |
1/2 |
(*.f64 (/.f64 (pow.f64 x -2) 1) (/.f64 (*.f64 x x) 2)) |
1/2 |
(*.f64 (/.f64 (pow.f64 x -2) 2) (*.f64 x x)) |
1/2 |
(*.f64 (/.f64 (pow.f64 x -2) 2) (*.f64 (/.f64 x 1) x)) |
1/2 |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 2 x)) x) |
1/2 |
(*.f64 (/.f64 (pow.f64 x -2) (sqrt.f64 (/.f64 2 x))) (/.f64 x (sqrt.f64 (/.f64 2 x)))) |
1/2 |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 2) x)) (*.f64 (/.f64 1 (sqrt.f64 2)) x)) |
(*.f64 (pow.f64 (*.f64 x (/.f64 1 (sqrt.f64 2))) 2) (pow.f64 x -2)) |
(pow.f64 (/.f64 x (*.f64 x (sqrt.f64 2))) 2) |
(*.f64 (/.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (/.f64 x (cbrt.f64 (/.f64 2 x)))) |
1/2 |
(*.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) (cbrt.f64 (*.f64 x (*.f64 x 1/2)))) |
(*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (/.f64 (pow.f64 x -2) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))) |
(/.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))) (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 x)) (*.f64 x 1/2)) |
1/2 |
(*.f64 (/.f64 (pow.f64 x -2) -2) (*.f64 x (neg.f64 x))) |
1/2 |
(*.f64 (/.f64 (pow.f64 x -2) -1) (*.f64 x (*.f64 x -1/2))) |
1/2 |
(*.f64 (/.f64 (pow.f64 x -2) (*.f64 -2 (pow.f64 x -2))) -1) |
1/2 |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 -2 x)) (neg.f64 x)) |
1/2 |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 2 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 (pow.f64 x -2) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1/2 (*.f64 x x))) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 2 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) |
1/2 |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 (/.f64 2 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
1/2 |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) -1) -2) (*.f64 x x)) |
1/2 |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) -1) -1) (*.f64 x (*.f64 x 1/2))) |
1/2 |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) -1) (/.f64 -2 x)) x) |
1/2 |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) -1) (/.f64 2 x)) (neg.f64 x)) |
1/2 |
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 2 x))) (sqrt.f64 (pow.f64 x -2))) (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 2 x))) (sqrt.f64 (pow.f64 x -2)))) |
1/2 |
(*.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 2) x) -1) (sqrt.f64 (pow.f64 x -2))) (*.f64 (pow.f64 (/.f64 (sqrt.f64 2) x) -1) (sqrt.f64 (pow.f64 x -2)))) |
(*.f64 (pow.f64 (*.f64 x (/.f64 1 (sqrt.f64 2))) 2) (pow.f64 x -2)) |
(pow.f64 (/.f64 x (*.f64 x (sqrt.f64 2))) 2) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2)))) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2)))) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2))))) |
1/2 |
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x (/.f64 (sqrt.f64 2) x)))) (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x (/.f64 (sqrt.f64 2) x)))) (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4)))))) |
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x (/.f64 (sqrt.f64 2) x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x (/.f64 (sqrt.f64 2) x)))) (sqrt.f64 (cbrt.f64 (/.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 x 4)))))))) |
(*.f64 (cbrt.f64 (/.f64 x (*.f64 x (sqrt.f64 2)))) (*.f64 (cbrt.f64 (/.f64 x (*.f64 x (sqrt.f64 2)))) (cbrt.f64 1/4))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2))))) (*.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2)))))) |
1/2 |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4)))) (cbrt.f64 (/.f64 1 (*.f64 x (/.f64 (sqrt.f64 2) x))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4)))) (cbrt.f64 (/.f64 1 (*.f64 x (/.f64 (sqrt.f64 2) x)))))) |
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x (/.f64 (sqrt.f64 2) x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x (/.f64 (sqrt.f64 2) x)))) (sqrt.f64 (cbrt.f64 (/.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 x 4)))))))) |
(*.f64 (cbrt.f64 (/.f64 x (*.f64 x (sqrt.f64 2)))) (*.f64 (cbrt.f64 (/.f64 x (*.f64 x (sqrt.f64 2)))) (cbrt.f64 1/4))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x 1/2) (/.f64 x x))) (sqrt.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 (*.f64 (*.f64 x 1/2) (/.f64 x x))) (sqrt.f64 (/.f64 1 x)))) |
1/2 |
(*.f64 (*.f64 (/.f64 1 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 2) x))) (sqrt.f64 (/.f64 1 x))) (*.f64 (/.f64 1 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 2) x))) (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) x) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) x) (sqrt.f64 x)))))) |
(*.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (sqrt.f64 x)) (/.f64 (/.f64 x (sqrt.f64 2)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (*.f64 (*.f64 x 1/2) (/.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (*.f64 (*.f64 x 1/2) (/.f64 x x))))) |
1/2 |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 2) x)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 2) x))))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) x) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) x) (sqrt.f64 x)))))) |
(*.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (sqrt.f64 x)) (/.f64 (/.f64 x (sqrt.f64 2)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 2 x)))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 2 x))))) |
1/2 |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (pow.f64 (/.f64 (sqrt.f64 2) x) -1)) (*.f64 (sqrt.f64 (pow.f64 x -2)) (pow.f64 (/.f64 (sqrt.f64 2) x) -1))) |
(*.f64 (pow.f64 (*.f64 x (/.f64 1 (sqrt.f64 2))) 2) (pow.f64 x -2)) |
(pow.f64 (/.f64 x (*.f64 x (sqrt.f64 2))) 2) |
(pow.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2)) 1) |
1/2 |
(pow.f64 (/.f64 1 (*.f64 x (/.f64 (sqrt.f64 2) x))) 2) |
(*.f64 (pow.f64 (*.f64 x (/.f64 1 (sqrt.f64 2))) 2) (pow.f64 x -2)) |
(pow.f64 (/.f64 x (*.f64 x (sqrt.f64 2))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2))) 3) |
1/2 |
(pow.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2)) 3) 1/3) |
1/2 |
(pow.f64 (*.f64 (/.f64 2 x) (/.f64 (*.f64 x x) x)) -1) |
1/2 |
(neg.f64 (/.f64 x (*.f64 (*.f64 x (neg.f64 x)) (/.f64 2 x)))) |
1/2 |
(neg.f64 (*.f64 (/.f64 x (*.f64 (*.f64 x (neg.f64 x)) (/.f64 2 x))) 1)) |
1/2 |
(neg.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (/.f64 1 (*.f64 x (neg.f64 x))))) |
1/2 |
(neg.f64 (*.f64 1 (/.f64 x (*.f64 (*.f64 x (neg.f64 x)) (/.f64 2 x))))) |
1/2 |
(neg.f64 (/.f64 (*.f64 (*.f64 x 1/2) (/.f64 x x)) (neg.f64 x))) |
1/2 |
(neg.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x x))) |
1/2 |
(sqrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4))) |
1/2 |
(log.f64 (pow.f64 (exp.f64 (*.f64 x (*.f64 x 1/2))) (pow.f64 x -2))) |
1/2 |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2))))) |
1/2 |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2)) 3)) |
1/2 |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (*.f64 x x) 3))) |
1/2 |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2)))) |
1/2 |
(exp.f64 (log.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2)))) |
1/2 |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (pow.f64 x -2)))) |
1/2 |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/2)))) 1) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 1 (*.f64 x (*.f64 x 1/2))) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 1 (/.f64 (*.f64 x x) 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x 1/2)) 1) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 (*.f64 x x) 1/2) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) x) (*.f64 (/.f64 1 (sqrt.f64 2)) x)) |
(pow.f64 (*.f64 x (/.f64 1 (sqrt.f64 2))) 2) |
(pow.f64 (/.f64 x (sqrt.f64 2)) 2) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) x) (neg.f64 (/.f64 -1 (/.f64 (sqrt.f64 2) x)))) |
(pow.f64 (*.f64 x (/.f64 1 (sqrt.f64 2))) 2) |
(pow.f64 (/.f64 x (sqrt.f64 2)) 2) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 1/2))) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x 1/2)))) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2)))))) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))) |
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x 1/2))) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 (*.f64 x 1/2) x) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 (*.f64 x 1/2) (/.f64 x 1)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 (*.f64 x 1/2) (pow.f64 (/.f64 1 x) -1)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 (neg.f64 x) (*.f64 x -1/2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 -1 (*.f64 x (*.f64 x -1/2))) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x -1/2)) -1) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (neg.f64 (sqrt.f64 (*.f64 x (*.f64 x -1/2))))) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))))) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x 1/2)) (cbrt.f64 x)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 (/.f64 x 1) (*.f64 x 1/2)) |
(*.f64 1/2 (*.f64 x x)) |
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(pow.f64 (/.f64 (sqrt.f64 2) x) 2) |
(*.f64 (/.f64 (sqrt.f64 2) x) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 2)) x))) |
(pow.f64 (/.f64 (sqrt.f64 2) x) 2) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 1 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2)))))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 (/.f64 1 x) (/.f64 2 x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) 2) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 -1 (*.f64 -2 (pow.f64 x -2))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 -2 x) (/.f64 -1 x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (sqrt.f64 (*.f64 -2 (pow.f64 x -2))) (neg.f64 (sqrt.f64 (*.f64 -2 (pow.f64 x -2))))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))) (neg.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) 2) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 1 x)) (sqrt.f64 (/.f64 2 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 2 (*.f64 x (sqrt.f64 x)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 2 x) (cbrt.f64 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 2 (*.f64 x (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 2 x) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 2)) x) (/.f64 (neg.f64 (sqrt.f64 2)) x)) |
(pow.f64 (/.f64 (sqrt.f64 2) x) 2) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) (neg.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 (/.f64 -1 x) (/.f64 -2 x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (/.f64 2 (sqrt.f64 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (/.f64 2 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) x) (sqrt.f64 (/.f64 2 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 2 x)) (cbrt.f64 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 x)) x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) 1)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 2 x)) (sqrt.f64 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (sqrt.f64 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (/.f64 2 x)))) (sqrt.f64 (/.f64 2 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 2 x)) 2))) (cbrt.f64 (/.f64 2 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 4 (pow.f64 x 4))))) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) x) 1) (/.f64 (sqrt.f64 2) x)) |
(pow.f64 (/.f64 (sqrt.f64 2) x) 2) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) x) (sqrt.f64 -1)) (sqrt.f64 (*.f64 -2 (pow.f64 x -2)))) |
(*.f64 (sqrt.f64 (*.f64 -2 (pow.f64 x -2))) (/.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) x))) |
(*.f64 (sqrt.f64 (*.f64 -2 (pow.f64 x -2))) (/.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 -1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) x) (cbrt.f64 (/.f64 2 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) 1) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) -1) (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (/.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) -1)) |
(*.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (neg.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 2 x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 2 (cbrt.f64 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -2) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 1 x) -1) (/.f64 -2 x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 1 x) 1/2) (/.f64 1 x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 1 x) (*.f64 1 (sqrt.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 2 x))) |
(*.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 (/.f64 1 x) (sqrt.f64 (*.f64 1/2 x)))) |
(/.f64 (sqrt.f64 (/.f64 2 x)) (*.f64 x (sqrt.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2))) (cbrt.f64 (/.f64 2 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 -2 (pow.f64 x -2)))) (sqrt.f64 (*.f64 -2 (pow.f64 x -2)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))))) (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (neg.f64 (/.f64 (neg.f64 (sqrt.f64 2)) x)) (/.f64 (sqrt.f64 2) x)) |
(pow.f64 (/.f64 (sqrt.f64 2) x) 2) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))))) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) x)) (sqrt.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) x)) (sqrt.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4)))))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) x)) (sqrt.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))))))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) x)) (cbrt.f64 (/.f64 (sqrt.f64 2) x)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))))) (*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2)))))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 2) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 2) x)))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) x)) (sqrt.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))))))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) x)) (cbrt.f64 (/.f64 (sqrt.f64 2) x)))) |
(pow.f64 (*.f64 2 (pow.f64 x -2)) 1) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(pow.f64 (*.f64 x (*.f64 x 1/2)) -1) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 2) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(pow.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 3) 1/3) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(neg.f64 (*.f64 -2 (pow.f64 x -2))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(sqrt.f64 (/.f64 4 (pow.f64 x 4))) |
(log.f64 (exp.f64 (*.f64 2 (pow.f64 x -2)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2))))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 3)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 2 x) 3) (pow.f64 x 3))) |
(cbrt.f64 (/.f64 (/.f64 8 (pow.f64 x 3)) (pow.f64 x 3))) |
(cbrt.f64 (/.f64 8 (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
| ✓ | 0.2b | (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) |
| 2.3b | (+.f64 -1 (cos.f64 x)) |
Compiled 30 to 18 computations (40% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
| 1× | batch-egg-rewrite |
| 1724× | associate-/l* |
| 1122× | *-commutative |
| 718× | associate-/r/ |
| 588× | associate-/l/ |
| 486× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 52 |
| 1 | 219 | 48 |
| 2 | 3010 | 48 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
| Outputs |
|---|
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x))) 2) (*.f64 x (neg.f64 x))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1160× | unswap-sqr |
| 564× | associate-/r* |
| 518× | distribute-lft-neg-in |
| 518× | associate-/l* |
| 452× | distribute-rgt-neg-out |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 406 | 5859 |
| 1 | 1203 | 5075 |
| 2 | 4802 | 5075 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(+.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x))) |
(+.f64 (/.f64 1 x) (*.f64 1 (*.f64 (cos.f64 x) (/.f64 -1 x)))) |
(+.f64 (/.f64 1 x) (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 x)) 1)) |
(+.f64 (*.f64 (cos.f64 x) (/.f64 -1 x)) (/.f64 1 x)) |
(+.f64 (*.f64 1 (*.f64 (cos.f64 x) (/.f64 -1 x))) (/.f64 1 x)) |
(+.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 x)) 1) (/.f64 1 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) 1) |
(/.f64 -1 (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(/.f64 -1 (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 -1 (/.f64 (+.f64 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 -1 x) (/.f64 1 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 1) |
(/.f64 1 (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) |
(/.f64 1 (/.f64 (neg.f64 x) (+.f64 -1 (cos.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 1 (*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 1 (*.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (/.f64 -1 x))))) |
(/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 x (*.f64 -1 (sqrt.f64 (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 1 (*.f64 (/.f64 -1 x) (sqrt.f64 (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 1 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (cbrt.f64 x))))) |
(/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (/.f64 1 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))))) |
(/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 (neg.f64 x) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 x (*.f64 -1 (cbrt.f64 (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 1 (*.f64 (/.f64 -1 x) (cbrt.f64 (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) |
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (/.f64 x 1)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) -1)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 -1 (cos.f64 x)) (/.f64 -1 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) 1)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 1 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (neg.f64 x) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) -1)) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 -1 x))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)) 1)) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 1 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (/.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x))))) (/.f64 x (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (/.f64 -1 x))) (*.f64 1 (sqrt.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (/.f64 1 (/.f64 -1 (cbrt.f64 x)))) |
(/.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (/.f64 1 (sqrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (*.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 x (-.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 x) (neg.f64 (-.f64 -1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 1 (*.f64 x (-.f64 -1 (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (*.f64 (neg.f64 x) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (*.f64 1 (+.f64 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (*.f64 (/.f64 -1 x) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 -1 x) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 (neg.f64 x) (-.f64 (sqrt.f64 (cos.f64 x)) 1))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)) (-.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) 1) (*.f64 (neg.f64 x) (-.f64 (cos.f64 x) -1))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (-.f64 (pow.f64 (cos.f64 x) 3) -1))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) -1)) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (/.f64 -1 (cbrt.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) (sin.f64 x))) |
(pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 x) 3) (pow.f64 (+.f64 -1 (cos.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 x)) (/.f64 1 x))) |
(+.f64 (*.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x))) (/.f64 1 (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 x)) (/.f64 1 x)) (/.f64 1 (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) 1) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x)) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) (/.f64 1 x)) |
(*.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 1) |
(*.f64 1 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) x) (/.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(*.f64 (/.f64 1 x) (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 -1 x)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 x)) (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (neg.f64 x) (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (cbrt.f64 x) (neg.f64 x)))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (neg.f64 x) (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (cbrt.f64 x) (neg.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 x)) (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 -1 (*.f64 x (cbrt.f64 x))) (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 -1 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) x) (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) x)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (sqrt.f64 (/.f64 -1 x)))) (sqrt.f64 (/.f64 -1 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) x) (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) (/.f64 -1 (cbrt.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2))) (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (*.f64 x (neg.f64 x))) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 3) 1/3) |
(pow.f64 (*.f64 x (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) -1) |
(neg.f64 (neg.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 1 x))) |
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x))) |
(neg.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) 1)) |
(neg.f64 (*.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x)) |
(fma.f64 1/2 x (*.f64 -1/24 (pow.f64 x 3))) |
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/720 (pow.f64 x 5) (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 1/720 (pow.f64 x 5) (*.f64 -1/40320 (pow.f64 x 7))))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
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(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 1 x) (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 -1 x)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 x)) (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (neg.f64 x) (sqrt.f64 x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (cbrt.f64 x) (neg.f64 x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (neg.f64 x) (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (cbrt.f64 x) (neg.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 x)) (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 -1 (*.f64 x (cbrt.f64 x))) (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 -1 x) (sqrt.f64 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (*.f64 x (cbrt.f64 x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) x) (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (cbrt.f64 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) x)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) 1)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (sqrt.f64 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (sqrt.f64 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (sqrt.f64 (/.f64 -1 x)))) (sqrt.f64 (/.f64 -1 x))) |
(*.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (sqrt.f64 (/.f64 -1 x))))) |
(*.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 (+.f64 -1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) x) (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) (/.f64 -1 (cbrt.f64 x))) |
(*.f64 (/.f64 -1 (cbrt.f64 x)) (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2))) (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (*.f64 x (neg.f64 x))) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 1) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) x) 2) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) 3) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(pow.f64 (*.f64 x (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) -1) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(neg.f64 (neg.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(neg.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 1 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(neg.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) 1)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(neg.f64 (*.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2)) |
(fabs.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) |
(log.f64 (exp.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 3)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 3) (pow.f64 x 3))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(exp.f64 (log.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 (cos.f64 x) (*.f64 x x)) |
| ✓ | 16.9b | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
Compiled 27 to 10 computations (63% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
| 1.0ms | x | @ | inf | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
| 0.0ms | x | @ | 0 | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
| 0.0ms | x | @ | 0 | (/.f64 (cos.f64 x) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 (cos.f64 x) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1582× | associate-*r/ |
| 1176× | associate-/r* |
| 1026× | associate-*l/ |
| 996× | *-commutative |
| 952× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 46 |
| 1 | 222 | 46 |
| 2 | 3112 | 46 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) (/.f64 (sqrt.f64 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x) (/.f64 (cbrt.f64 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (cos.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 x x)) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (cos.f64 x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 1268× | associate-+r+ |
| 1264× | associate-+l+ |
| 798× | +-commutative |
| 772× | associate-/r/ |
| 488× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 386 | 10308 |
| 1 | 1096 | 9180 |
| 2 | 5067 | 9006 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 2)) 1/2) |
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) 1/2) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 1/2) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2)) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (+.f64 (pow.f64 x -2) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (+.f64 (pow.f64 x -2) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
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(/.f64 (/.f64 (-.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x -6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) 1) (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x -6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x -6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4))))) |
(pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 1) |
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))) 3) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 2)) |
(log.f64 (exp.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))) |
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(exp.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(fma.f64 1 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(fma.f64 (/.f64 1 x) (/.f64 1 x) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) 1) |
(*.f64 (pow.f64 x -2) (cos.f64 x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1) |
(*.f64 1 (*.f64 (pow.f64 x -2) (cos.f64 x))) |
(*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) (/.f64 (sqrt.f64 (cos.f64 x)) x)) |
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x)) |
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))) |
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1)) |
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) |
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x) (/.f64 (cbrt.f64 (cos.f64 x)) x)) |
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 x x)) (cbrt.f64 (cos.f64 x))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x))) |
(pow.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3) |
(pow.f64 (*.f64 (/.f64 x (cos.f64 x)) x) -1) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)) 1/3) |
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) |
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1 x) x) |
(-.f64 (/.f64 1 (pow.f64 x 2)) 1/2) |
(+.f64 (/.f64 1 (*.f64 x x)) -1/2) |
(+.f64 (/.f64 (/.f64 1 x) x) -1/2) |
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) 1/2) |
(+.f64 (fma.f64 1/24 (*.f64 x x) (/.f64 1 (*.f64 x x))) -1/2) |
(+.f64 (fma.f64 (*.f64 x x) 1/24 (/.f64 (/.f64 1 x) x)) -1/2) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 1/2) |
(+.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 1/24 (*.f64 x x) (/.f64 1 (*.f64 x x)))) -1/2) |
(+.f64 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 (*.f64 x x) 1/24 (/.f64 (/.f64 1 x) x))) -1/2) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (pow.f64 x -2))) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (pow.f64 x -2))) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
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(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(pow.f64 (*.f64 (/.f64 x (cos.f64 x)) x) -1) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 x -6) (pow.f64 (cos.f64 x) 3))) |
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2))) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) |
(cbrt.f64 (*.f64 (pow.f64 x -6) (pow.f64 (cos.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
Compiled 24331 to 15158 computations (37.7% saved)
27 alts after pruning (17 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1199 | 8 | 1207 |
| Fresh | 3 | 9 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 10 | 10 |
| Total | 1203 | 27 | 1230 |
| Status | Error | Program |
|---|---|---|
| 28.1b | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) | |
| 28.0b | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) | |
| 43.5b | (/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) | |
| 48.7b | (/.f64 (/.f64 x (/.f64 2 x)) (*.f64 x x)) | |
| ✓ | 49.2b | (/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x)) |
| ✓ | 28.6b | (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
| 29.6b | (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) | |
| 28.0b | (/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) | |
| ✓ | 28.6b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 28.1b | (/.f64 (+.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x))) x) | |
| ✓ | 28.0b | (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
| ✓ | 0.1b | (/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) x) |
| 28.6b | (/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))) | |
| 28.8b | (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x)))) | |
| 33.8b | (+.f64 1/2 (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))) | |
| ✓ | 34.0b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| ✓ | 28.5b | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| 31.5b | (*.f64 (/.f64 (*.f64 x 1/2) (*.f64 x x)) x) | |
| ✓ | 0.1b | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
| 31.5b | (*.f64 (/.f64 1 (*.f64 (/.f64 2 x) (*.f64 x x))) x) | |
| 49.1b | (*.f64 (/.f64 1 (*.f64 2 (*.f64 x x))) (*.f64 x x)) | |
| ✓ | 48.4b | (*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
| 48.4b | (*.f64 (/.f64 1/2 x) (*.f64 (/.f64 1 x) (*.f64 x x))) | |
| 33.4b | (*.f64 (/.f64 1/2 x) x) | |
| ✓ | 28.6b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 28.5b | (*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (+.f64 -1 (cos.f64 x))) | |
| 33.3b | 1/2 |
Compiled 298 to 206 computations (30.9% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1/2 x) x) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
(*.f64 (/.f64 (*.f64 x 1/2) (*.f64 x x)) x) |
(/.f64 (/.f64 x (/.f64 2 x)) (*.f64 x x)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 (/.f64 1/2 x) (*.f64 (/.f64 1 x) (*.f64 x x))) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 x x))) (*.f64 x x)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 2 x) (*.f64 x x))) x) |
(/.f64 (*.f64 (/.f64 1 (/.f64 2 x)) x) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 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 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (+.f64 -1 (cos.f64 x))) |
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x))) x) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(+.f64 1/2 (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x)))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) x) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))) |
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(/.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) |
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 1 (expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x))))) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
2 calls:
| 21.0ms | x |
| 9.0ms | (/.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 521 to 292 computations (44% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1/2 x) x) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
(*.f64 (/.f64 (*.f64 x 1/2) (*.f64 x x)) x) |
(/.f64 (/.f64 x (/.f64 2 x)) (*.f64 x x)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 (/.f64 1/2 x) (*.f64 (/.f64 1 x) (*.f64 x x))) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 x x))) (*.f64 x x)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 2 x) (*.f64 x x))) x) |
(/.f64 (*.f64 (/.f64 1 (/.f64 2 x)) x) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 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 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (+.f64 -1 (cos.f64 x))) |
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x))) x) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(+.f64 1/2 (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x)))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x))) x) |
(+.f64 1/2 (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
2 calls:
| 40.0ms | x |
| 32.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
| 0.6b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 320 to 179 computations (44.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.003639837391381872 | 0.23563782032484967 |
| 22.0ms | -4098.511986542399 | -0.0015454835870861994 |
| 31.0ms | 256× | body | 256 | valid |
Compiled 463 to 354 computations (23.5% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1/2 x) x) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
(*.f64 (/.f64 (*.f64 x 1/2) (*.f64 x x)) x) |
(/.f64 (/.f64 x (/.f64 2 x)) (*.f64 x x)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 (/.f64 1/2 x) (*.f64 (/.f64 1 x) (*.f64 x x))) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 x x))) (*.f64 x x)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 2 x) (*.f64 x x))) x) |
(/.f64 (*.f64 (/.f64 1 (/.f64 2 x)) x) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 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 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (+.f64 -1 (cos.f64 x))) |
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x))) x) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x))) x) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
2 calls:
| 69.0ms | x |
| 16.0ms | (/.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 263 to 145 computations (44.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.003639837391381872 | 0.23563782032484967 |
| 19.0ms | -4098.511986542399 | -0.0015454835870861994 |
| 29.0ms | 256× | body | 256 | valid |
Compiled 367 to 274 computations (25.3% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1/2 x) x) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
(*.f64 (/.f64 (*.f64 x 1/2) (*.f64 x x)) x) |
(/.f64 (/.f64 x (/.f64 2 x)) (*.f64 x x)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 (/.f64 1/2 x) (*.f64 (/.f64 1 x) (*.f64 x x))) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 x x))) (*.f64 x x)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 2 x) (*.f64 x x))) x) |
(/.f64 (*.f64 (/.f64 1 (/.f64 2 x)) x) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 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 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (+.f64 -1 (cos.f64 x))) |
| Outputs |
|---|
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
2 calls:
| 62.0ms | x |
| 11.0ms | (/.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 239 to 131 computations (45.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 0.003639837391381872 | 0.23563782032484967 |
| 20.0ms | -4098.511986542399 | -0.0015454835870861994 |
| 29.0ms | 256× | body | 256 | valid |
Compiled 349 to 265 computations (24.1% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1/2 x) x) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
(*.f64 (/.f64 (*.f64 x 1/2) (*.f64 x x)) x) |
(/.f64 (/.f64 x (/.f64 2 x)) (*.f64 x x)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 (/.f64 1/2 x) (*.f64 (/.f64 1 x) (*.f64 x x))) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 x x))) (*.f64 x x)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 2 x) (*.f64 x x))) x) |
(/.f64 (*.f64 (/.f64 1 (/.f64 2 x)) x) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 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 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
| Outputs |
|---|
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
2 calls:
| 28.0ms | 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 217 to 117 computations (46.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.003639837391381872 | 0.23563782032484967 |
| 18.0ms | -4098.511986542399 | -0.0015454835870861994 |
| 28.0ms | 256× | body | 256 | valid |
Compiled 349 to 265 computations (24.1% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1/2 x) x) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
(*.f64 (/.f64 (*.f64 x 1/2) (*.f64 x x)) x) |
(/.f64 (/.f64 x (/.f64 2 x)) (*.f64 x x)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 (/.f64 1/2 x) (*.f64 (/.f64 1 x) (*.f64 x x))) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 x x))) (*.f64 x x)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 2 x) (*.f64 x x))) x) |
(/.f64 (*.f64 (/.f64 1 (/.f64 2 x)) x) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 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)))) |
| Outputs |
|---|
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
2 calls:
| 48.0ms | 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 207 to 111 computations (46.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.003639837391381872 | 0.23563782032484967 |
| 18.0ms | -4098.511986542399 | -0.0015454835870861994 |
| 28.0ms | 256× | body | 256 | valid |
Compiled 349 to 265 computations (24.1% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1/2 x) x) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
(*.f64 (/.f64 (*.f64 x 1/2) (*.f64 x x)) x) |
(/.f64 (/.f64 x (/.f64 2 x)) (*.f64 x x)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 (/.f64 1/2 x) (*.f64 (/.f64 1 x) (*.f64 x x))) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 x x))) (*.f64 x x)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 2 x) (*.f64 x x))) x) |
(/.f64 (*.f64 (/.f64 1 (/.f64 2 x)) x) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| Outputs |
|---|
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
2 calls:
| 25.0ms | x |
| 9.0ms | (/.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 187 to 100 computations (46.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.003639837391381872 | 0.23563782032484967 |
| 18.0ms | -4098.511986542399 | -0.0015454835870861994 |
| 28.0ms | 256× | body | 256 | valid |
Compiled 335 to 251 computations (25.1% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1/2 x) x) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
(*.f64 (/.f64 (*.f64 x 1/2) (*.f64 x x)) x) |
(/.f64 (/.f64 x (/.f64 2 x)) (*.f64 x x)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 (/.f64 1/2 x) (*.f64 (/.f64 1 x) (*.f64 x x))) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 x x))) (*.f64 x x)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 2 x) (*.f64 x x))) x) |
(/.f64 (*.f64 (/.f64 1 (/.f64 2 x)) x) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x))) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 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 |
| 9.0ms | (/.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 177 to 95 computations (46.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.003639837391381872 | 0.23563782032484967 |
| 18.0ms | -4098.511986542399 | -0.0015454835870861994 |
| 33.0ms | 256× | body | 256 | valid |
Compiled 317 to 233 computations (26.5% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1/2 x) x) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
(*.f64 (/.f64 (*.f64 x 1/2) (*.f64 x x)) x) |
(/.f64 (/.f64 x (/.f64 2 x)) (*.f64 x x)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 (/.f64 1/2 x) (*.f64 (/.f64 1 x) (*.f64 x x))) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 x x))) (*.f64 x x)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 2 x) (*.f64 x x))) x) |
(/.f64 (*.f64 (/.f64 1 (/.f64 2 x)) x) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.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 |
| 10.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 3 | x |
| 0.7b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 150 to 80 computations (46.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.003639837391381872 | 0.23563782032484967 |
| 19.0ms | -4098.511986542399 | -0.0015454835870861994 |
| 28.0ms | 256× | body | 256 | valid |
Compiled 317 to 233 computations (26.5% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1/2 x) x) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
(*.f64 (/.f64 (*.f64 x 1/2) (*.f64 x x)) x) |
(/.f64 (/.f64 x (/.f64 2 x)) (*.f64 x x)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 (/.f64 1/2 x) (*.f64 (/.f64 1 x) (*.f64 x x))) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 x x))) (*.f64 x x)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 2 x) (*.f64 x x))) x) |
(/.f64 (*.f64 (/.f64 1 (/.f64 2 x)) x) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
1 calls:
| 21.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 14.3b | 3 | x |
Compiled 133 to 70 computations (47.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.835441939090781 | 39548.56960489015 |
| 20.0ms | -4098.511986542399 | -0.0015454835870861994 |
| 32.0ms | 272× | body | 256 | valid |
Compiled 421 to 298 computations (29.2% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1/2 x) x) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
(*.f64 (/.f64 (*.f64 x 1/2) (*.f64 x x)) x) |
(/.f64 (/.f64 x (/.f64 2 x)) (*.f64 x x)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2))) |
(*.f64 (/.f64 1/2 x) (*.f64 (/.f64 1 x) (*.f64 x x))) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 x x))) (*.f64 x x)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 2 x) (*.f64 x x))) x) |
(/.f64 (*.f64 (/.f64 1 (/.f64 2 x)) x) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 x 1/2) (*.f64 x x)) x) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 x 1/2) (*.f64 x x)) x) |
1 calls:
| 21.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 16.1b | 3 | x |
Compiled 120 to 63 computations (47.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.835441939090781 | 39548.56960489015 |
| 19.0ms | -4098.511986542399 | -0.0015454835870861994 |
| 31.0ms | 272× | body | 256 | valid |
Compiled 353 to 247 computations (30% saved)
Total -15.7b remaining (-47.1%)
Threshold costs -15.7b (-47.1%)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1/2 x) x) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
| Outputs |
|---|
1/2 |
1 calls:
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 33.3b | 1 | x |
Compiled 25 to 15 computations (40% saved)
| 1× | egg-herbie |
| 24× | *-commutative |
| 16× | +-commutative |
| 6× | if-if-or-not |
| 4× | sub-neg |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 928 |
| 1 | 122 | 928 |
| 2 | 125 | 928 |
| 3 | 127 | 928 |
| 4 | 128 | 928 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(if (<=.f64 x -1116892707587883/36028797018963968) (/.f64 (+.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x))) x) (if (<=.f64 x 1224979098644775/36028797018963968) (+.f64 1/2 (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))) (/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))))) |
(if (<=.f64 x -5534023222112865/1152921504606846976) (/.f64 (+.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x))) x) (if (<=.f64 x 1498797955988901/288230376151711744) (+.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 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) (if (<=.f64 x 1498797955988901/288230376151711744) (+.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 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x))) |
(if (<=.f64 x -6110483974416289/1152921504606846976) (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))) |
(if (<=.f64 x -6110483974416289/1152921504606846976) (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -6110483974416289/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -6110483974416289/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(if (<=.f64 x -2) (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) (if (<=.f64 x 4728779608739021/2251799813685248) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)))) |
(if (<=.f64 x -3602879701896397/1125899906842624) (*.f64 (/.f64 (*.f64 x 1/2) (*.f64 x x)) x) (if (<=.f64 x 3602879701896397/1125899906842624) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (/.f64 (*.f64 x 1/2) (*.f64 x x)) x))) |
1/2 |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(if (<=.f64 x -1116892707587883/36028797018963968) (/.f64 (+.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x))) x) (if (<=.f64 x 1224979098644775/36028797018963968) (+.f64 1/2 (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))) (/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))))) |
(if (<=.f64 x -1116892707587883/36028797018963968) (/.f64 (+.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x))) x) (if (<=.f64 x 1224979098644775/36028797018963968) (+.f64 1/2 (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))) (/.f64 (/.f64 -1 x) (/.f64 x (+.f64 (cos.f64 x) -1))))) |
(if (<=.f64 x -5534023222112865/1152921504606846976) (/.f64 (+.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x))) x) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))))) |
(if (<=.f64 x -5534023222112865/1152921504606846976) (/.f64 (+.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x))) x) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 -1 x) (/.f64 x (+.f64 (cos.f64 x) -1))))) |
(if (<=.f64 x -6110483974416289/1152921504606846976) (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) (if (<=.f64 x 1498797955988901/288230376151711744) (+.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 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x))) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 -1 x) (/.f64 x (+.f64 (cos.f64 x) -1))))) |
(if (<=.f64 x -6110483974416289/1152921504606846976) (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x))) |
(if (<=.f64 x -6110483974416289/1152921504606846976) (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x))) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (*.f64 (/.f64 -1 x) (+.f64 (cos.f64 x) -1)) x))) |
(if (<=.f64 x -6110483974416289/1152921504606846976) (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))) |
(if (<=.f64 x -6110483974416289/1152921504606846976) (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x))) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(if (<=.f64 x -6110483974416289/1152921504606846976) (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -6110483974416289/1152921504606846976) (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x))) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -6110483974416289/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -6110483974416289/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(if (or (<=.f64 x -6110483974416289/1152921504606846976) (not (<=.f64 x 1498797955988901/288230376151711744))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(if (<=.f64 x -2) (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) (if (<=.f64 x 4728779608739021/2251799813685248) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)))) |
(if (or (<=.f64 x -2) (not (<=.f64 x 4728779608739021/2251799813685248))) (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(if (<=.f64 x -3602879701896397/1125899906842624) (*.f64 (/.f64 (*.f64 x 1/2) (*.f64 x x)) x) (if (<=.f64 x 3602879701896397/1125899906842624) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (/.f64 (*.f64 x 1/2) (*.f64 x x)) x))) |
(if (or (<=.f64 x -3602879701896397/1125899906842624) (not (<=.f64 x 3602879701896397/1125899906842624))) (*.f64 x (/.f64 (*.f64 x 1/2) (*.f64 x x))) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
1/2 |
Compiled 351 to 235 computations (33% saved)
| 1× | egg-herbie |
| 552× | div-sub |
| 432× | associate-/l* |
| 432× | associate-+r+ |
| 390× | associate-+l+ |
| 370× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 321 | 5119 |
| 1 | 890 | 4897 |
| 2 | 3946 | 4843 |
| 1× | node limit |
Compiled 74 to 35 computations (52.7% saved)
Compiled 340 to 209 computations (38.5% saved)
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