Time bar (total: 12.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 5 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 6 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 7 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 8 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 9 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 10 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 11 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 12 |
Compiled 10 to 7 computations (30% saved)
| 1.6s | 2048× | body | 2048 | valid |
| 441.0ms | 3454× | body | 256 | valid |
| 366.0ms | 1126× | body | 1024 | valid |
| 326.0ms | 1502× | body | 512 | valid |
| 178.0ms | 126× | 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 |
|---|---|---|
| ▶ | 52.14% | (/.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 |
|---|---|---|
| ✓ | 2.52% | (-.f64 1 (cos.f64 x)) |
| ✓ | 27.34% | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 20 to 9 computations (55% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (-.f64 1 (cos.f64 x)) |
| 0.0ms | x | @ | inf | (-.f64 1 (cos.f64 x)) |
| 1× | batch-egg-rewrite |
| 1514× | associate-*r/ |
| 1354× | associate-/r* |
| 1182× | associate-/l* |
| 1142× | associate-*l/ |
| 872× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 34 |
| 1 | 190 | 34 |
| 2 | 2636 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(-.f64 1 (cos.f64 x)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) 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(cos.f64 x)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 552× | div-sub |
| 432× | associate-/l* |
| 432× | associate-+r+ |
| 390× | associate-+l+ |
| 370× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 321 | 5119 |
| 1 | 890 | 4897 |
| 2 | 3946 | 4843 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) |
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (pow.f64 x -2)) |
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x)))) |
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(+.f64 1 (neg.f64 (cos.f64 x))) |
(+.f64 (neg.f64 (cos.f64 x)) 1) |
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(*.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) 1) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 1 (cos.f64 x))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 1 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 (*.f64 1/2 x) x) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
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(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(-.f64 1 (cos.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(-.f64 1 (cos.f64 x)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(-.f64 1 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(-.f64 1 (cos.f64 x)) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
Compiled 4007 to 2144 computations (46.5% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 186 | 12 | 198 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 186 | 13 | 199 |
| Status | Error | Program |
|---|---|---|
| 51.3% | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) | |
| 28.12% | (/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x)) | |
| ▶ | 52.2% | (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
| ✓ | 52.14% | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 52.21% | (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) | |
| ▶ | 27.86% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 52.19% | (/.f64 (log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) | |
| ▶ | 52.16% | (/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) |
| 47.19% | (+.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))))) | |
| ▶ | 47.06% | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| ▶ | 50.95% | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| 52.17% | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) | |
| 45.59% | 1/2 |
Compiled 281 to 206 computations (26.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.32% | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| ✓ | 26.89% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
Compiled 33 to 18 computations (45.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| 0.0ms | x | @ | -inf | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| 1× | batch-egg-rewrite |
| 960× | unswap-sqr |
| 834× | swap-sqr |
| 410× | sqr-pow |
| 408× | pow-sqr |
| 382× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 54 |
| 1 | 239 | 54 |
| 2 | 3327 | 54 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| Outputs |
|---|
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(sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 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(pow.f64 x -2)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))))) |
| 1× | egg-herbie |
| 1428× | associate-/r* |
| 1248× | associate-/l/ |
| 824× | distribute-rgt-in |
| 818× | distribute-lft-in |
| 728× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 284 | 5218 |
| 1 | 760 | 4964 |
| 2 | 3094 | 4964 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) |
(*.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 x -2))) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (/.f64 1 (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 4)) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))) (sin.f64 x)) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) x) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (pow.f64 (cbrt.f64 x) 4)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) 1)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 x x)) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6)) |
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2)) |
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) 1)) |
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 x (neg.f64 x))))) |
(neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x x))) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) |
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))) |
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(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
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(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
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(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) 1)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)) |
(fabs.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))) |
(fabs.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
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(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
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(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3)) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1)) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.53% | (*.f64 -1/24 (*.f64 x x)) |
Compiled 19 to 10 computations (47.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 -1/24 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 -1/24 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 -1/24 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1080× | add-sqr-sqrt |
| 1058× | *-un-lft-identity |
| 1006× | pow1 |
| 990× | add-cube-cbrt |
| 982× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 122 | 13 |
| 2 | 1411 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/24 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/576 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1470× | distribute-rgt-in |
| 1446× | distribute-lft-in |
| 1164× | log-prod |
| 760× | associate-*r* |
| 696× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 299 |
| 1 | 93 | 299 |
| 2 | 348 | 299 |
| 3 | 1913 | 299 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2) |
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3) |
(sqrt.f64 (*.f64 1/576 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(sqrt.f64 (*.f64 1/576 (pow.f64 x 4))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.15% | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| ✓ | 0.21% | (/.f64 (-.f64 1 (cos.f64 x)) x) |
| 2.52% | (-.f64 1 (cos.f64 x)) |
Compiled 28 to 16 computations (42.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/.f64 (-.f64 1 (cos.f64 x)) x) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 (cos.f64 x)) x) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 (cos.f64 x)) x) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1518× | associate-/l* |
| 1508× | associate-/r* |
| 1040× | *-commutative |
| 644× | associate-/l/ |
| 484× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 40 |
| 1 | 218 | 40 |
| 2 | 2976 | 40 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 1 (neg.f64 (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (neg.f64 (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 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 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(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 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))))) (#(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))) 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| 1× | egg-herbie |
| 1450× | associate-/l* |
| 1088× | times-frac |
| 1012× | associate-/r* |
| 738× | associate-/l/ |
| 654× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 615 | 10371 |
| 1 | 1850 | 9903 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 1 x) (*.f64 1 (neg.f64 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) |
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) 1)) |
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x))) |
(+.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
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(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (neg.f64 (*.f64 x x)) (+.f64 1 (cos.f64 x)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 x 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 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (neg.f64 (*.f64 x x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 x (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (neg.f64 (cos.f64 x))))) |
(/.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (/.f64 (cos.f64 x) x) 3)) (*.f64 x (+.f64 (+.f64 (pow.f64 x -2) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) x))) (/.f64 (cos.f64 x) (*.f64 x x))))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) -1) (*.f64 x (*.f64 (+.f64 1 (cos.f64 x)) (neg.f64 x)))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) -1) (*.f64 x (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)))) |
(/.f64 (*.f64 -1 (+.f64 -1 (cos.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x)) |
(/.f64 (pow.f64 (sqrt.f64 x) -1) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 (sqrt.f64 x) -1))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) -1))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (/.f64 1 x) (/.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 x) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (/.f64 (cbrt.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x)) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) 1) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) -1) x) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) 1) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) -1) x) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) 1) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) 1) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 -1 (+.f64 -1 (cos.f64 x))) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1) (neg.f64 x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) -1) x) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2)) |
(log.f64 (exp.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (/.f64 1 (pow.f64 x 3)))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5))))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (*.f64 x (*.f64 x -1/24))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (/.f64 1 x) (*.f64 1 (neg.f64 (/.f64 (cos.f64 x) x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (neg.f64 (/.f64 (cos.f64 x) x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (neg.f64 (/.f64 (cos.f64 x) x)))) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (pow.f64 x -1/2) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1)) |
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
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(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))))) |
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) 1) (neg.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) -1) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))))) |
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) 1) (sqrt.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x))) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) 1) (cbrt.f64 x)) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (*.f64 -1 (+.f64 -1 (cos.f64 x))) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1) (neg.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) -1) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))))) |
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) |
(*.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)) (pow.f64 x -2)) |
(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)))) |
(*.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)) (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)) (pow.f64 x -2)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (/.f64 1 (pow.f64 x 3)))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 6))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (/.f64 1 (pow.f64 x 3)))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.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)) (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.15% | (/.f64 1 (-.f64 1 (cos.f64 x))) |
| ✓ | 0.23% | (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
| 2.52% | (-.f64 1 (cos.f64 x)) | |
| ✓ | 27.34% | (/.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 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(#(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)) |
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(*.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)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6)) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (*.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (fma.f64 1/3024 (pow.f64 x 4) (/.f64 2 (*.f64 x x))))) |
(+.f64 (fma.f64 (pow.f64 x 4) 1/3024 (/.f64 2 (*.f64 x x))) (fma.f64 1/120 (*.f64 x x) 1/6)) |
(+.f64 (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 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (*.f64 (neg.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) (*.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 (/.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (*.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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.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 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (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 (cos.f64 x) -1) (/.f64 1 (neg.f64 (*.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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (+.f64 (cos.f64 x) -1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 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))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.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 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.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 (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 (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 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 x -2) 1) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 x -2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 x -2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))) |
(/.f64 (pow.f64 x -2) (/.f64 (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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (pow.f64 x -2))) |
(*.f64 (/.f64 (pow.f64 x -2) -1) (+.f64 (cos.f64 x) -1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (+.f64 (cos.f64 x) -1))) -1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (*.f64 (*.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 (sin.f64 x) (sin.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
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(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(-.f64 1 (cos.f64 x)) |
(neg.f64 (+.f64 (cos.f64 x) -1)) |
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(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(fabs.f64 (-.f64 1 (cos.f64 x))) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(-.f64 1 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(-.f64 1 (cos.f64 x)) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
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(/.f64 (-.f64 (-.f64 -1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))) 1) |
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(*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 1) |
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(*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
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(*.f64 -1 (/.f64 1 (+.f64 (cos.f64 x) -1))) |
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(/.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) -1) |
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(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) |
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
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(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
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(/.f64 (*.f64 1 (+.f64 (neg.f64 (cos.f64 x)) -1)) (+.f64 -1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 -1 (cos.f64 x)) (+.f64 -1 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (-.f64 (-.f64 -1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(*.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 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(/.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.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 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.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 (cos.f64 x)))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 1 (cbrt.f64 (+.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(*.f64 (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (*.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (pow.f64 (cos.f64 x) 6))) |
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (+.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 |
|---|---|---|
| ✓ | 0.35% | (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
| ✓ | 2.33% | (log1p.f64 (neg.f64 (cos.f64 x))) |
| ✓ | 27.34% | (/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) |
Compiled 28 to 7 computations (75% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | x | @ | -inf | (/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) |
| 28.0ms | x | @ | inf | (/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) |
| 2.0ms | x | @ | 0 | (/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
| 0.0ms | x | @ | 0 | (log1p.f64 (neg.f64 (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1856× | add-sqr-sqrt |
| 1840× | *-un-lft-identity |
| 1712× | add-cube-cbrt |
| 1690× | add-cbrt-cube |
| 200× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 59 |
| 1 | 203 | 43 |
| 2 | 2657 | 43 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) |
(log1p.f64 (neg.f64 (cos.f64 x))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) 1) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (cos.f64 x) 1)) (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 1) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) x) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) 1) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) (sqrt.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2) (cbrt.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 x))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 x)))) (sqrt.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2)) (cbrt.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) 1))))))) |
| 1× | egg-herbie |
| 1520× | associate-/l* |
| 1406× | associate-*r/ |
| 1104× | distribute-lft-in |
| 1072× | distribute-rgt-in |
| 936× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 203 | 2790 |
| 1 | 494 | 2308 |
| 2 | 2548 | 2308 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) |
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))) |
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))))) |
(+.f64 (*.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 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)) (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 (log.f64 1/2) (*.f64 2 (log.f64 x))) |
(+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) |
(+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))) |
(+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1/90720 (pow.f64 x 6)) (*.f64 2 (log.f64 x)))))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) |
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 6))) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)))))) |
(-.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 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) 1) |
(*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1) |
(*.f64 1 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) 1) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1)) |
(*.f64 (neg.f64 (+.f64 (cos.f64 x) 1)) (/.f64 1 (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) 1) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 1) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) x) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) |
(pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3) 1/3) |
(pow.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) 1) x)) -1) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 x (neg.f64 x)))) |
(sqrt.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) |
(exp.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2)))) |
(exp.f64 (*.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) |
(+.f64 0 (log1p.f64 (cos.f64 x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)))) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 x)))) 1) |
(*.f64 (log1p.f64 (cos.f64 x)) 1) |
(*.f64 1 (log1p.f64 (cos.f64 x))) |
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) (sqrt.f64 (log1p.f64 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2) (cbrt.f64 (log1p.f64 (cos.f64 x)))) |
(pow.f64 (log1p.f64 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 2)) |
(log.f64 (+.f64 (cos.f64 x) 1)) |
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 x)))) |
(exp.f64 (log.f64 (log1p.f64 (cos.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 x))) 1)) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 x) 1))) 1) |
(*.f64 (+.f64 (cos.f64 x) 1) 1) |
(*.f64 1 (+.f64 (cos.f64 x) 1)) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (+.f64 (cos.f64 x) 1))) |
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1)) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(pow.f64 (+.f64 (cos.f64 x) 1) 1) |
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 3) |
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) 1/3) |
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 x)))) (sqrt.f64 (log1p.f64 (cos.f64 x)))) |
(pow.f64 (exp.f64 1) (log1p.f64 (cos.f64 x))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2)) (cbrt.f64 (log1p.f64 (cos.f64 x)))) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2)) |
(log.f64 (exp.f64 (+.f64 (cos.f64 x) 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) 1)))) |
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) 1))) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) 1))) |
| Outputs |
|---|
(/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) |
(/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) |
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))) |
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)) (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) -1/12)) |
(+.f64 (*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) (*.f64 (*.f64 x x) -1/24)) |
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))))) |
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)) (fma.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)) (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) -1/12))) |
(+.f64 (*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) (fma.f64 1/360 (*.f64 1/2 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) (fma.f64 1/360 (*.f64 1/2 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1/24))) |
(+.f64 (*.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))))) |
(fma.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4)) (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)) (fma.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)) (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) -1/12)))) |
(+.f64 (fma.f64 1/360 (*.f64 1/2 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x))) (fma.f64 (*.f64 -1/40320 (*.f64 x x)) (pow.f64 x 4) (*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)))) |
(+.f64 (fma.f64 1/360 (*.f64 1/2 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1/24)) (fma.f64 (*.f64 (*.f64 x x) -1/40320) (pow.f64 x 4) (*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))) |
(fma.f64 2 (log.f64 x) (log.f64 1/2)) |
(+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) |
(fma.f64 -1/12 (*.f64 x x) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) |
(fma.f64 (*.f64 x x) -1/12 (fma.f64 2 (log.f64 x) (log.f64 1/2))) |
(+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))) |
(fma.f64 -1/1440 (pow.f64 x 4) (fma.f64 -1/12 (*.f64 x x) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))) |
(fma.f64 (pow.f64 x 4) -1/1440 (fma.f64 (*.f64 x x) -1/12 (fma.f64 2 (log.f64 x) (log.f64 1/2)))) |
(+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1/90720 (pow.f64 x 6)) (*.f64 2 (log.f64 x)))))) |
(fma.f64 -1/1440 (pow.f64 x 4) (fma.f64 -1/12 (*.f64 x x) (+.f64 (log.f64 1/2) (fma.f64 -1/90720 (pow.f64 x 6) (*.f64 2 (log.f64 x)))))) |
(fma.f64 (pow.f64 x 4) -1/1440 (+.f64 (fma.f64 (*.f64 x x) -1/12 (fma.f64 2 (log.f64 x) (log.f64 1/2))) (*.f64 -1/90720 (pow.f64 x 6)))) |
(+.f64 (fma.f64 (pow.f64 x 4) -1/1440 (fma.f64 (*.f64 x x) -1/12 (fma.f64 2 (log.f64 x) (log.f64 1/2)))) (*.f64 -1/90720 (pow.f64 x 6))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log1p.f64 (neg.f64 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log1p.f64 (neg.f64 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log1p.f64 (neg.f64 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log1p.f64 (neg.f64 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log1p.f64 (neg.f64 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log1p.f64 (neg.f64 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log1p.f64 (neg.f64 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log1p.f64 (neg.f64 (cos.f64 x))) |
(exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)))) |
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/12 (*.f64 1/2 (pow.f64 x 4)))) |
(+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))))) |
(fma.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4)) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x))))) |
(fma.f64 (*.f64 1/720 (*.f64 x x)) (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/12 (*.f64 1/2 (pow.f64 x 4))))) |
(fma.f64 (*.f64 (*.f64 x x) 1/720) (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/12 (*.f64 1/2 (pow.f64 x 4))))) |
(+.f64 (*.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 6))) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)))))) |
(fma.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 6)) (fma.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4)) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)))))) |
(fma.f64 (*.f64 -1/40320 (*.f64 x x)) (pow.f64 x 6) (fma.f64 (*.f64 1/720 (*.f64 x x)) (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/12 (*.f64 1/2 (pow.f64 x 4)))))) |
(fma.f64 (*.f64 (*.f64 x x) -1/40320) (pow.f64 x 6) (fma.f64 (*.f64 (*.f64 x x) 1/720) (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/12 (*.f64 1/2 (pow.f64 x 4)))))) |
(-.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 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) 1) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x)) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2)) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) 1) x) (/.f64 1 x)) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1)) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (neg.f64 (+.f64 (cos.f64 x) 1)) (/.f64 1 (*.f64 x (neg.f64 x)))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) 1) x)) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 1) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) x) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) x)) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -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)))) |
(pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) 2) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 3) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3) 1/3) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) 1) x)) -1) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 x (neg.f64 x)))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(sqrt.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (pow.f64 x 4))) |
(sqrt.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3)) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(exp.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2)))) |
(exp.f64 (+.f64 (log1p.f64 (cos.f64 x)) (*.f64 -2 (log.f64 x)))) |
(*.f64 (pow.f64 x -2) (exp.f64 (log1p.f64 (cos.f64 x)))) |
(exp.f64 (*.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2))) 1)) |
(exp.f64 (+.f64 (log1p.f64 (cos.f64 x)) (*.f64 -2 (log.f64 x)))) |
(*.f64 (pow.f64 x -2) (exp.f64 (log1p.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 0 (log1p.f64 (cos.f64 x))) |
(log1p.f64 (cos.f64 x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)))) |
(log1p.f64 (cos.f64 x)) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)))) |
(log1p.f64 (cos.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 x)))) 1) |
(log1p.f64 (cos.f64 x)) |
(*.f64 (log1p.f64 (cos.f64 x)) 1) |
(log1p.f64 (cos.f64 x)) |
(*.f64 1 (log1p.f64 (cos.f64 x))) |
(log1p.f64 (cos.f64 x)) |
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) (sqrt.f64 (log1p.f64 (cos.f64 x)))) |
(log1p.f64 (cos.f64 x)) |
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2)) |
(log1p.f64 (cos.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2) (cbrt.f64 (log1p.f64 (cos.f64 x)))) |
(log1p.f64 (cos.f64 x)) |
(pow.f64 (log1p.f64 (cos.f64 x)) 1) |
(log1p.f64 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) 2) |
(log1p.f64 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 3) |
(log1p.f64 (cos.f64 x)) |
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3) 1/3) |
(log1p.f64 (cos.f64 x)) |
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 2)) |
(fabs.f64 (log1p.f64 (cos.f64 x))) |
(log.f64 (+.f64 (cos.f64 x) 1)) |
(log1p.f64 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3)) |
(log1p.f64 (cos.f64 x)) |
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 x)))) |
(log1p.f64 (cos.f64 x)) |
(exp.f64 (log.f64 (log1p.f64 (cos.f64 x)))) |
(log1p.f64 (cos.f64 x)) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 x))) 1)) |
(log1p.f64 (cos.f64 x)) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(+.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 x) 1))) 1) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (+.f64 (cos.f64 x) 1) 1) |
(+.f64 1 (cos.f64 x)) |
(*.f64 1 (+.f64 (cos.f64 x) 1)) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (+.f64 (cos.f64 x) 1))) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1))) |
(+.f64 1 (cos.f64 x)) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1)) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(pow.f64 (+.f64 (cos.f64 x) 1) 1) |
(+.f64 1 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 2) |
(+.f64 1 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 3) |
(+.f64 1 (cos.f64 x)) |
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) 1/3) |
(+.f64 1 (cos.f64 x)) |
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 x)))) (sqrt.f64 (log1p.f64 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (cos.f64 x))) |
(pow.f64 (exp.f64 1) (log1p.f64 (cos.f64 x))) |
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 x)))) (sqrt.f64 (log1p.f64 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (cos.f64 x))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2)) (cbrt.f64 (log1p.f64 (cos.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 x)))) (sqrt.f64 (log1p.f64 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (cos.f64 x))) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2)) |
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) |
(fabs.f64 (+.f64 1 (cos.f64 x))) |
(log.f64 (exp.f64 (+.f64 (cos.f64 x) 1))) |
(+.f64 1 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) 1)))) |
(+.f64 1 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3)) |
(+.f64 1 (cos.f64 x)) |
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) 1))) |
(+.f64 1 (cos.f64 x)) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) 1))) |
(+.f64 1 (cos.f64 x)) |
Compiled 23300 to 13650 computations (41.4% saved)
21 alts after pruning (16 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1181 | 14 | 1195 |
| Fresh | 5 | 2 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 1187 | 21 | 1208 |
| Status | Error | Program |
|---|---|---|
| 50.94% | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) | |
| 74.19% | (/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) | |
| ✓ | 52.2% | (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
| 47.53% | (/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6))) (*.f64 x x)) | |
| ▶ | 45.53% | (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
| 50.95% | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) | |
| 57.13% | (/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) | |
| ✓ | 52.14% | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| ▶ | 52.21% | (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
| ✓ | 52.16% | (/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) |
| ▶ | 51.3% | (/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) |
| 47.06% | (+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) | |
| ✓ | 47.06% | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| ✓ | 50.95% | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| 27.99% | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) | |
| ▶ | 0.18% | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
| 51.1% | (*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) | |
| 51.03% | (*.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) (/.f64 1 x)) | |
| ▶ | 45.71% | (*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
| 28% | (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) | |
| 45.59% | 1/2 |
Compiled 429 to 295 computations (31.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.12% | (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
| ✓ | 0.19% | (/.f64 (sin.f64 x) x) |
| ✓ | 0.23% | (/.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 | @ | inf | (/.f64 (sin.f64 x) x) |
| 0.0ms | x | @ | 0 | (/.f64 (tan.f64 (*.f64 x 1/2)) 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 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 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))) x))))) (#(struct:change #<rule egg-rr> (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)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (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))))))) (#(struct:change #<rule egg-rr> (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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.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)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) 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(*.f64 x 1/2)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (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))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1) |
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) 1/3) |
(pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) -1) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) 1)) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 (neg.f64 x)))) |
(neg.f64 (*.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))) |
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) 1)) |
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 2)) |
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1) |
(*.f64 (sin.f64 x) (/.f64 1 x)) |
(*.f64 (/.f64 (sin.f64 x) x) 1) |
(*.f64 1 (/.f64 (sin.f64 x) x)) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 1 x) (sin.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
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(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (*.f64 x (/.f64 x (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (*.f64 x (/.f64 x (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (neg.f64 (cbrt.f64 (sin.f64 x))))) |
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(/.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)))) |
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(/.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)))) |
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(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) (/.f64 x (sin.f64 x)))) (sqrt.f64 x)) |
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(/.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))) |
(/.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))) |
(/.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))) |
(/.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))) |
(/.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))) |
(/.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))) |
(/.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))) |
(/.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 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 x)) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 x))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) 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 (tan.f64 (*.f64 1/2 x)) 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))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) 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 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (/.f64 1 x) (tan.f64 (*.f64 x 1/2))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 x))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (tan.f64 (*.f64 1/2 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (sqrt.f64 x)) (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 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (tan.f64 (*.f64 1/2 x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
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(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 x (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 1)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.27% | (*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
Compiled 17 to 12 computations (29.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1344× | add-sqr-sqrt |
| 1322× | *-un-lft-identity |
| 1242× | add-cube-cbrt |
| 1224× | add-cbrt-cube |
| 1210× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 164 | 1 |
| 2 | 1982 | 1 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x . 1/2))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 13 |
| 1× | saturated |
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
| Outputs |
|---|
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4% | (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
| ✓ | 0.57% | (/.f64 2 (*.f64 x x)) |
| ✓ | 26.96% | (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
Compiled 42 to 24 computations (42.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 2 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 2 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
| 1× | batch-egg-rewrite |
| 1268× | associate-/l* |
| 1058× | *-commutative |
| 616× | swap-sqr |
| 468× | associate-/l/ |
| 464× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 75 |
| 1 | 247 | 61 |
| 2 | 3299 | 61 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) x) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) 2) (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6)) (/.f64 1 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (pow.f64 x -2)) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 (*.f64 x (fma.f64 2 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1/6) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1/6) (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 -1 (fma.f64 2 (pow.f64 x -2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (*.f64 x x)) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (cbrt.f64 (pow.f64 x 4))) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) 1) (/.f64 1 (*.f64 (*.f64 x x) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 x x) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) x) (/.f64 1 (*.f64 x (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (*.f64 x x)) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)))) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) 1) (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (+.f64 -1/36 (neg.f64 (/.f64 -4 (pow.f64 x 4))))) (+.f64 -1/6 (neg.f64 (*.f64 (pow.f64 x -2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (+.f64 -1/216 (neg.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36)) (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -2) -1) (+.f64 -1/36 (neg.f64 (/.f64 -4 (pow.f64 x 4))))) (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -2) -1) (+.f64 -1/216 (neg.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 2 (pow.f64 x -2) 1/6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (*.f64 x (*.f64 x (fma.f64 2 (pow.f64 x -2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 -1 (*.f64 x (*.f64 x (fma.f64 2 (pow.f64 x -2) 1/6)))) 1))))) (#(struct:change #<rule egg-rr> (2) 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| 1× | egg-herbie |
| 1810× | distribute-lft-in |
| 1074× | associate-/l/ |
| 538× | associate-/r/ |
| 514× | associate-*l* |
| 496× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 412 | 6770 |
| 1 | 1226 | 6314 |
| 2 | 4682 | 6286 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/288 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/3456 (pow.f64 x 6)) (*.f64 1/288 (pow.f64 x 4))))) |
(/.f64 6 (pow.f64 x 2)) |
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 10368 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))) |
(/.f64 6 (pow.f64 x 2)) |
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 10368 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/288 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))) |
(+.f64 (*.f64 1/288 (pow.f64 x 6)) (+.f64 (*.f64 -1/3456 (pow.f64 x 8)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))) |
6 |
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (*.f64 72 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6))))) |
6 |
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (*.f64 72 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)))) 1) |
(*.f64 1 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) |
(*.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) 1) |
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(*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (pow.f64 x -2))) |
(*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (*.f64 x x))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (cbrt.f64 (pow.f64 x 4)))) |
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(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (pow.f64 x -2))) |
(*.f64 (/.f64 1 (*.f64 x (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))) |
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(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2))) |
(*.f64 (/.f64 1 x) (/.f64 1 (*.f64 x (fma.f64 2 (pow.f64 x -2) 1/6)))) |
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(*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)))) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (/.f64 (pow.f64 x -2) 1) (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(*.f64 (/.f64 (pow.f64 x -2) (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2)) |
(*.f64 (/.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (+.f64 1/6 (*.f64 (pow.f64 x -2) -2))) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3)))) |
(*.f64 (/.f64 (pow.f64 x -2) (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) -1) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 -1/36 (neg.f64 (/.f64 -4 (pow.f64 x 4))))) (+.f64 -1/6 (neg.f64 (*.f64 (pow.f64 x -2) -2)))) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 -1/216 (neg.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))) |
(*.f64 (/.f64 (pow.f64 x -2) (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36)) (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) -1) (+.f64 -1/36 (neg.f64 (/.f64 -4 (pow.f64 x 4))))) (+.f64 1/6 (*.f64 (pow.f64 x -2) -2))) |
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(pow.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) 1) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) 3) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) 3) 1/3) |
(pow.f64 (*.f64 x (*.f64 x (fma.f64 2 (pow.f64 x -2) 1/6))) -1) |
(neg.f64 (/.f64 -1 (*.f64 x (*.f64 x (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(neg.f64 (/.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6)) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 -1 (*.f64 x (*.f64 x (fma.f64 2 (pow.f64 x -2) 1/6)))) 1)) |
(neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) (/.f64 1 (neg.f64 (*.f64 x x))))) |
(neg.f64 (*.f64 1 (/.f64 -1 (*.f64 x (*.f64 x (fma.f64 2 (pow.f64 x -2) 1/6)))))) |
(neg.f64 (/.f64 (/.f64 1 (*.f64 x (fma.f64 2 (pow.f64 x -2) 1/6))) (neg.f64 x))) |
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2) (pow.f64 x 4))) |
(log.f64 (exp.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) 3)) |
(cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3)) (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(exp.f64 (log.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(-.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 (neg.f64 (*.f64 x x)))) |
(*.f64 (/.f64 1 x) (/.f64 2 x)) |
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(*.f64 (/.f64 1 (neg.f64 (*.f64 x x))) -2) |
(pow.f64 (*.f64 2 (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 2) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3) |
(pow.f64 (*.f64 (*.f64 x x) 1/2) -1) |
(pow.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) 1/3) |
(neg.f64 (/.f64 (/.f64 2 x) (neg.f64 x))) |
(sqrt.f64 (/.f64 4 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2))))) |
(cbrt.f64 (*.f64 8 (pow.f64 (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)))) |
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(+.f64 (*.f64 (/.f64 1 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) 1/36) (*.f64 (/.f64 1 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 -1/3 (pow.f64 x -2))))) |
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(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) 1) |
(*.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(*.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 1) |
(*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2)) |
(*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))) |
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(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
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(*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (/.f64 1 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) |
(*.f64 -1 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6))) |
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(*.f64 (/.f64 1 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36)) (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (sqrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (sqrt.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (sqrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (cbrt.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))) |
(*.f64 (/.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (+.f64 1/1296 (*.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 4))))) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36)) |
(*.f64 (/.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (-.f64 1/46656 (pow.f64 (/.f64 4 (pow.f64 x 4)) 3))) (+.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36)))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6)))) (sqrt.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6))))) (cbrt.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2)) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)))) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1) |
(pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 1) |
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3)) 1/3) |
(neg.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) |
(log.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/288 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/288 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/288 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/3456 (pow.f64 x 6)) (*.f64 1/288 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/3456 (pow.f64 x 6) (*.f64 1/288 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/288 (pow.f64 x 4) (*.f64 -1/3456 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/288 (pow.f64 x 4) (*.f64 -1/3456 (pow.f64 x 6)))) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (/.f64 6 (*.f64 x x)) (/.f64 72 (pow.f64 x 4))) |
(+.f64 (/.f64 (/.f64 6 x) x) (/.f64 -72 (pow.f64 x 4))) |
(+.f64 (/.f64 6 (*.f64 x x)) (/.f64 -72 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 864 (pow.f64 x 6))) (/.f64 72 (pow.f64 x 4))) |
(+.f64 (/.f64 864 (pow.f64 x 6)) (+.f64 (/.f64 (/.f64 6 x) x) (/.f64 -72 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 -72 (pow.f64 x 4))) (/.f64 864 (pow.f64 x 6))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 10368 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 6 (*.f64 x x)) (-.f64 (/.f64 864 (pow.f64 x 6)) (+.f64 (/.f64 72 (pow.f64 x 4)) (/.f64 10368 (pow.f64 x 8))))) |
(+.f64 (/.f64 864 (pow.f64 x 6)) (-.f64 (/.f64 (/.f64 6 x) x) (+.f64 (/.f64 72 (pow.f64 x 4)) (/.f64 10368 (pow.f64 x 8))))) |
(+.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 864 (pow.f64 x 6)) (-.f64 (/.f64 -72 (pow.f64 x 4)) (/.f64 10368 (pow.f64 x 8))))) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (/.f64 6 (*.f64 x x)) (/.f64 72 (pow.f64 x 4))) |
(+.f64 (/.f64 (/.f64 6 x) x) (/.f64 -72 (pow.f64 x 4))) |
(+.f64 (/.f64 6 (*.f64 x x)) (/.f64 -72 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 864 (pow.f64 x 6))) (/.f64 72 (pow.f64 x 4))) |
(+.f64 (/.f64 864 (pow.f64 x 6)) (+.f64 (/.f64 (/.f64 6 x) x) (/.f64 -72 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 -72 (pow.f64 x 4))) (/.f64 864 (pow.f64 x 6))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 10368 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 6 (*.f64 x x)) (-.f64 (/.f64 864 (pow.f64 x 6)) (+.f64 (/.f64 72 (pow.f64 x 4)) (/.f64 10368 (pow.f64 x 8))))) |
(+.f64 (/.f64 864 (pow.f64 x 6)) (-.f64 (/.f64 (/.f64 6 x) x) (+.f64 (/.f64 72 (pow.f64 x 4)) (/.f64 10368 (pow.f64 x 8))))) |
(+.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 864 (pow.f64 x 6)) (-.f64 (/.f64 -72 (pow.f64 x 4)) (/.f64 10368 (pow.f64 x 8))))) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 x (*.f64 1/2 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 x (*.f64 1/2 x))) |
(+.f64 (*.f64 1/288 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))) |
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) |
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))) |
(+.f64 (*.f64 1/288 (pow.f64 x 6)) (+.f64 (*.f64 -1/3456 (pow.f64 x 8)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))) |
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 -1/3456 (pow.f64 x 8) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) |
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 -1/3456 (pow.f64 x 8) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x))))) |
6 |
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6 (/.f64 72 (*.f64 x x))) |
(+.f64 6 (/.f64 -72 (*.f64 x x))) |
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (*.f64 72 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 6 (-.f64 (/.f64 864 (pow.f64 x 4)) (/.f64 72 (*.f64 x x)))) |
(+.f64 6 (+.f64 (/.f64 864 (pow.f64 x 4)) (/.f64 -72 (*.f64 x x)))) |
(+.f64 (+.f64 6 (/.f64 -72 (*.f64 x x))) (/.f64 864 (pow.f64 x 4))) |
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6))))) |
(-.f64 (+.f64 6 (/.f64 864 (pow.f64 x 4))) (+.f64 (/.f64 72 (*.f64 x x)) (/.f64 10368 (pow.f64 x 6)))) |
(+.f64 6 (-.f64 (-.f64 (/.f64 864 (pow.f64 x 4)) (/.f64 10368 (pow.f64 x 6))) (/.f64 (/.f64 72 x) x))) |
(+.f64 6 (-.f64 (-.f64 (/.f64 864 (pow.f64 x 4)) (/.f64 10368 (pow.f64 x 6))) (/.f64 72 (*.f64 x x)))) |
6 |
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6 (/.f64 72 (*.f64 x x))) |
(+.f64 6 (/.f64 -72 (*.f64 x x))) |
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (*.f64 72 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 6 (-.f64 (/.f64 864 (pow.f64 x 4)) (/.f64 72 (*.f64 x x)))) |
(+.f64 6 (+.f64 (/.f64 864 (pow.f64 x 4)) (/.f64 -72 (*.f64 x x)))) |
(+.f64 (+.f64 6 (/.f64 -72 (*.f64 x x))) (/.f64 864 (pow.f64 x 4))) |
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6))))) |
(-.f64 (+.f64 6 (/.f64 864 (pow.f64 x 4))) (+.f64 (/.f64 72 (*.f64 x x)) (/.f64 10368 (pow.f64 x 6)))) |
(+.f64 6 (-.f64 (-.f64 (/.f64 864 (pow.f64 x 4)) (/.f64 10368 (pow.f64 x 6))) (/.f64 (/.f64 72 x) x))) |
(+.f64 6 (-.f64 (-.f64 (/.f64 864 (pow.f64 x 4)) (/.f64 10368 (pow.f64 x 6))) (/.f64 72 (*.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)))) 1) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(*.f64 1 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(*.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) (pow.f64 x -2)) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(*.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) 1) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) x) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) x)) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (pow.f64 x -2))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (*.f64 x x))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) 2)) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) 2) (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (/.f64 (*.f64 1 (pow.f64 x -2)) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (pow.f64 x -2) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (/.f64 (pow.f64 x -2) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (/.f64 1 (*.f64 x (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 1 x)) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(*.f64 (pow.f64 x -2) (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(*.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6)) (/.f64 1 (neg.f64 (*.f64 x x)))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(*.f64 (*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (pow.f64 x -2)) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2)) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (/.f64 (*.f64 1 (pow.f64 x -2)) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (pow.f64 x -2) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (/.f64 (pow.f64 x -2) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (/.f64 1 x) (/.f64 1 (*.f64 x (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1/6) (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1/6) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1/6) (pow.f64 (cbrt.f64 x) 2))) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1/6) (pow.f64 (cbrt.f64 x) 2)))) |
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(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))) |
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))) (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -2) (cbrt.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216))) (cbrt.f64 (+.f64 1/36 (fma.f64 (pow.f64 x -2) -1/3 (/.f64 4 (pow.f64 x 4)))))) |
(*.f64 (/.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (+.f64 1/1296 (*.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 4))))) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36)) |
(*.f64 (/.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))) (+.f64 1/1296 (*.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 4))))) (+.f64 1/36 (/.f64 4 (pow.f64 x 4)))) |
(*.f64 (/.f64 (fma.f64 -2 (pow.f64 x -2) 1/6) (+.f64 1/1296 (/.f64 (/.f64 -16 (pow.f64 x 4)) (pow.f64 x 4)))) (+.f64 1/36 (/.f64 4 (pow.f64 x 4)))) |
(*.f64 (/.f64 (fma.f64 -2 (pow.f64 x -2) 1/6) (+.f64 1/1296 (/.f64 -16 (pow.f64 x 8)))) (+.f64 1/36 (/.f64 4 (pow.f64 x 4)))) |
(*.f64 (/.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (-.f64 1/46656 (pow.f64 (/.f64 4 (pow.f64 x 4)) 3))) (+.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36)))) |
(*.f64 (/.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))) (-.f64 1/46656 (/.f64 64 (pow.f64 (pow.f64 x 4) 3)))) (+.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 4 (pow.f64 x 4)))))) |
(*.f64 (/.f64 (fma.f64 -2 (pow.f64 x -2) 1/6) (-.f64 1/46656 (/.f64 64 (pow.f64 (pow.f64 x 4) 3)))) (fma.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 4 (pow.f64 x 4))) 1/1296)) |
(*.f64 (/.f64 (fma.f64 -2 (pow.f64 x -2) 1/6) (+.f64 1/46656 (/.f64 -64 (pow.f64 (pow.f64 x 4) 3)))) (fma.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 4 (pow.f64 x 4))) 1/1296)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6)))) (sqrt.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6))))) (cbrt.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) |
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2)) |
(*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (/.f64 1 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)))) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) |
(pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 1) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) |
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) 2) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) |
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 3) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) |
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3)) 1/3) |
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3))) |
(neg.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) |
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) |
(log.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) |
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) |
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.07% | (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)) |
| ✓ | 0.18% | (/.f64 x (-.f64 1 (cos.f64 x))) |
| ✓ | 0.45% | (/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) |
| 2.52% | (-.f64 1 (cos.f64 x)) |
Compiled 38 to 20 computations (47.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 x (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 x (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 x (-.f64 1 (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1570× | associate-/l* |
| 1040× | *-commutative |
| 770× | associate-/r/ |
| 464× | associate-/l/ |
| 406× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 77 |
| 1 | 256 | 63 |
| 2 | 3503 | 63 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))))))) |
| 1× | egg-herbie |
| 1070× | associate-/l* |
| 878× | *-commutative |
| 866× | associate-*r* |
| 802× | associate-*l* |
| 778× | associate-*l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 676 | 10866 |
| 1 | 2045 | 9572 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 2 x) |
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/3024 (pow.f64 x 5))))) |
-2 |
(-.f64 (*.f64 -1/6 (pow.f64 x 2)) 2) |
(-.f64 (+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 -1/6 (pow.f64 x 2))) 2) |
(-.f64 (+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/3024 (pow.f64 x 6)))) 2) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 x x)) 1) (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x))) (*.f64 (/.f64 1 (*.f64 x x)) 1)) |
(+.f64 (*.f64 (/.f64 -1 (*.f64 x x)) 1) (*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (cos.f64 x))) (*.f64 (/.f64 -1 (*.f64 x x)) 1)) |
(+.f64 (*.f64 1 (/.f64 1 (*.f64 x x))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (*.f64 x x))) (*.f64 1 (/.f64 1 (*.f64 x x)))) |
(+.f64 (*.f64 1 (/.f64 -1 (*.f64 x x))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) (*.f64 1 (/.f64 -1 (*.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))) 1) |
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) -1) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) 1) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (*.f64 (/.f64 -1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -1 x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2)) (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (/.f64 -1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 -1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2)) (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 (/.f64 -1 x) 1) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 (/.f64 -1 x) x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 -1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 -1 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 -1 (/.f64 x (/.f64 1 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 -1 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 -1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 1 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (-.f64 0 (*.f64 x x))) x) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (-.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0)) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 x)) (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.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 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.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 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) 2)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (neg.f64 (/.f64 1 (*.f64 x x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (neg.f64 (/.f64 -1 (*.f64 x x))) (-.f64 1 (cos.f64 x))) |
(pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) -1) |
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(/.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 1) |
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 -1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 -1 (*.f64 (/.f64 -1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 1 (*.f64 (/.f64 -1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) (/.f64 (/.f64 -1 x) (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) (/.f64 -1 (*.f64 x (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))))) |
(/.f64 (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) (/.f64 1 (*.f64 x (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))))) |
(/.f64 (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) (/.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 -1 x) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x)))) |
(/.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2))) |
(/.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) (/.f64 -1 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2))) |
(/.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) (/.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))) |
(/.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2) (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2) (/.f64 (/.f64 -1 x) (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2) (/.f64 -1 (*.f64 x (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2) (/.f64 1 (*.f64 x (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))))) |
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 -1 x) (*.f64 (cbrt.f64 x) (/.f64 -1 (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 -1 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (cbrt.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (cbrt.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (cbrt.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 -1 x) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x)))) |
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 x x) (/.f64 -1 (/.f64 -1 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) (/.f64 (/.f64 -1 x) x)) |
(/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2)) (/.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2)) (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2))) (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 x (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(/.f64 (*.f64 x (sqrt.f64 x)) (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x))) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x))) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2)) (/.f64 -1 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x))) |
(/.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (cbrt.f64 x))) |
(/.f64 (*.f64 x (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))) (*.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(/.f64 (*.f64 x (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) |
(/.f64 (/.f64 x (/.f64 1 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 x (/.f64 1 x)) (+.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 -1 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (*.f64 (/.f64 -1 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 -1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (/.f64 -1 x) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x)) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x)) (/.f64 -1 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 x x) (-.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 (*.f64 x x) (-.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 x (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (/.f64 -1 x) (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (/.f64 -1 x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (-.f64 0 (*.f64 x x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) |
(/.f64 (-.f64 0 (pow.f64 x 3)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (*.f64 x x) 0))) |
(/.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (/.f64 -1 x) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (/.f64 -1 x) (/.f64 (cbrt.f64 x) (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 -1 x) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (/.f64 -1 x) (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))) |
(pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 1) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 3) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 3) 1/3) |
(neg.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 -1 (cos.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))))) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))) |
(exp.f64 (log.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 2 x) |
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) |
(fma.f64 1/6 x (/.f64 2 x)) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 1/6 x (/.f64 2 x))) |
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 x 1/6 (/.f64 2 x))) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/3024 (pow.f64 x 5))))) |
(fma.f64 1/120 (pow.f64 x 3) (+.f64 (fma.f64 1/6 x (/.f64 2 x)) (*.f64 1/3024 (pow.f64 x 5)))) |
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 x 1/6 (fma.f64 1/3024 (pow.f64 x 5) (/.f64 2 x)))) |
-2 |
(-.f64 (*.f64 -1/6 (pow.f64 x 2)) 2) |
(fma.f64 -1/6 (*.f64 x x) -2) |
(-.f64 (+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 -1/6 (pow.f64 x 2))) 2) |
(+.f64 (*.f64 (pow.f64 x 4) -1/120) (fma.f64 -1/6 (*.f64 x x) -2)) |
(fma.f64 (pow.f64 x 4) -1/120 (fma.f64 -1/6 (*.f64 x x) -2)) |
(-.f64 (+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/3024 (pow.f64 x 6)))) 2) |
(+.f64 (fma.f64 -1/120 (pow.f64 x 4) (fma.f64 -1/6 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/3024))) -2) |
(+.f64 (fma.f64 (pow.f64 x 4) -1/120 (fma.f64 (pow.f64 x 6) -1/3024 (*.f64 x (*.f64 x -1/6)))) -2) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(+.f64 (*.f64 (/.f64 1 (*.f64 x x)) 1) (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x))) (*.f64 (/.f64 1 (*.f64 x x)) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 (*.f64 (/.f64 -1 (*.f64 x x)) 1) (*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (cos.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) |
(+.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (cos.f64 x))) (*.f64 (/.f64 -1 (*.f64 x x)) 1)) |
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(*.f64 x (/.f64 (neg.f64 x) (+.f64 (cos.f64 x) -1))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(/.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (cbrt.f64 x))) |
(*.f64 x (/.f64 (neg.f64 x) (+.f64 (cos.f64 x) -1))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 x (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))) (*.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(/.f64 x (/.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))))) |
(*.f64 (/.f64 x (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (sqrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))) |
(/.f64 (*.f64 x (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 x)) |
(*.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) (sqrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))) |
(/.f64 (/.f64 x (/.f64 1 x)) (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 (neg.f64 x) (+.f64 (cos.f64 x) -1))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 x (/.f64 1 x)) (+.f64 -1 (cos.f64 x))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 x (/.f64 (neg.f64 x) (+.f64 (cos.f64 x) -1))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 x (/.f64 (neg.f64 x) (+.f64 (cos.f64 x) -1))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 x (/.f64 (neg.f64 x) (+.f64 (cos.f64 x) -1))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 -1 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (*.f64 (/.f64 -1 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(/.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 -1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (/.f64 -1 x) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(/.f64 (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x)) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) x) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x)) (fma.f64 x (cos.f64 x) x)) |
(/.f64 (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x)) (/.f64 -1 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) x) (/.f64 -1 (+.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (fma.f64 x (cos.f64 x) x))) |
(/.f64 (/.f64 (*.f64 x x) (-.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 (*.f64 x x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) |
(/.f64 (/.f64 (*.f64 x x) (-.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 (/.f64 (*.f64 x x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (/.f64 (*.f64 x x) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (/.f64 -1 x) (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) x) (/.f64 -1 (+.f64 1 (cos.f64 x)))) |
(/.f64 x (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (fma.f64 x (cos.f64 x) x))) |
(/.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (/.f64 -1 x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 x (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x))) |
(/.f64 (-.f64 0 (*.f64 x x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) |
(/.f64 (neg.f64 (*.f64 x x)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) x) x)) |
(/.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) x) x) |
(/.f64 (-.f64 0 (pow.f64 x 3)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (*.f64 x x) 0))) |
(/.f64 (neg.f64 (pow.f64 x 3)) (*.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (neg.f64 (pow.f64 x 3)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (*.f64 x x)))) |
(/.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) |
(*.f64 x (/.f64 (neg.f64 x) (+.f64 (cos.f64 x) -1))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (/.f64 -1 x) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (/.f64 -1 x) (/.f64 (cbrt.f64 x) (-.f64 1 (cos.f64 x))))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 -1 x) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (/.f64 -1 x) (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 -1 (*.f64 x (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 -1 (*.f64 x (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))))))) |
(pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 1) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(*.f64 x (/.f64 (neg.f64 x) (+.f64 (cos.f64 x) -1))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 3) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 3) 1/3) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(neg.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) |
(*.f64 x (/.f64 (neg.f64 x) (+.f64 (cos.f64 x) -1))) |
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) 2)) |
(fabs.f64 (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 -1 (cos.f64 x))))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 3)) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 3) (pow.f64 x 3))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(exp.f64 (log.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.45% | (-.f64 1 (+.f64 1 (cos.f64 x))) |
| ✓ | 0.53% | (+.f64 1 (cos.f64 x)) |
| ✓ | 2.52% | (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
| ✓ | 27.34% | (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
Compiled 38 to 23 computations (39.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (-.f64 1 (+.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (+.f64 1 (cos.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
| 0.0ms | x | @ | 0 | (-.f64 1 (+.f64 1 (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1732× | associate-/r* |
| 1178× | associate-/l* |
| 646× | associate-/r/ |
| 538× | associate-/l/ |
| 350× | associate-+r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 68 |
| 1 | 249 | 54 |
| 2 | 3645 | 54 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(+.f64 1 (cos.f64 x)) |
(-.f64 1 (+.f64 1 (cos.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 1422× | associate-*r* |
| 1272× | associate-*l* |
| 1086× | associate-/r* |
| 1030× | associate-/l* |
| 888× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 787 | 15200 |
| 1 | 2411 | 14544 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) 1) |
-1 |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) 1) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) 1) |
(*.f64 -1 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) 1)) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -2)) (-.f64 (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (pow.f64 (neg.f64 (cos.f64 x)) 2)) (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -2)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) 3))) (+.f64 (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x)))))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x)))) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2)) |
(log.f64 (exp.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (neg.f64 (cos.f64 x)) -1) |
(-.f64 (-.f64 1 (cos.f64 x)) 0) |
(-.f64 0 (+.f64 (cos.f64 x) -1)) |
(-.f64 3 (+.f64 (cos.f64 x) 2)) |
(-.f64 2 (+.f64 1 (cos.f64 x))) |
(-.f64 (exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) 1) |
(-.f64 (/.f64 1 (+.f64 (cos.f64 x) 2)) (-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 (cos.f64 x) 2)) 1)) |
(-.f64 (/.f64 1 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) 1)) |
(-.f64 (/.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (-.f64 -1 (cos.f64 x))) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(-.f64 (-.f64 2 (cos.f64 x)) 1) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 (cos.f64 x) 2))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(*.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
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(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) 1) (+.f64 (cos.f64 x) 2)) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (sqrt.f64 (+.f64 (cos.f64 x) 2))) (sqrt.f64 (+.f64 (cos.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2)) (cbrt.f64 (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 (cos.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) 1) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(pow.f64 (neg.f64 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) 1/3) |
(neg.f64 (cos.f64 x)) |
(sqrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (neg.f64 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(exp.f64 (log.f64 (neg.f64 (cos.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (neg.f64 (cos.f64 x)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 2 (*.f64 -1/2 (*.f64 x x))) |
(+.f64 2 (*.f64 x (*.f64 x -1/2))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/24))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/720)))) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
-1 |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) |
(fma.f64 1/2 (*.f64 x x) -1) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) 1) |
(+.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) -1) |
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/2 (*.f64 x x) -1)) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) 1) |
(+.f64 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) -1) |
(+.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))) (fma.f64 1/2 (*.f64 x x) -1)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(*.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)) (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 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 (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)) (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)) (pow.f64 x -2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (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 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 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 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (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 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1)) (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 x -2)))) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 2))) (/.f64 (sin.f64 x) (/.f64 (pow.f64 x -2) (neg.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (/.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -2))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (/.f64 (-.f64 -1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) 1)) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (/.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) -1) (pow.f64 x -2))) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (/.f64 (-.f64 -1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2))) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -2)) (-.f64 (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (pow.f64 (neg.f64 (cos.f64 x)) 2)) (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 4) (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 4) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (pow.f64 x -2))) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -2)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) 3))) (+.f64 (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) 3))) (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 4) (-.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x)))))) |
(/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 4) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x))))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 6))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.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)) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) |
(*.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)) (pow.f64 x -2)) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(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))) |
(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)))) |
(*.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)) (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
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(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))))) |
(pow.f64 (neg.f64 (cos.f64 x)) 1) |
(neg.f64 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) 2) |
(neg.f64 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 3) |
(neg.f64 (cos.f64 x)) |
(pow.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) 1/3) |
(neg.f64 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(sqrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (neg.f64 (cos.f64 x)))) |
(neg.f64 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (cos.f64 x))))) |
(neg.f64 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3)) |
(neg.f64 (cos.f64 x)) |
(expm1.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(neg.f64 (cos.f64 x)) |
(exp.f64 (log.f64 (neg.f64 (cos.f64 x)))) |
(neg.f64 (cos.f64 x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 x))) 1)) |
(neg.f64 (cos.f64 x)) |
(log1p.f64 (expm1.f64 (neg.f64 (cos.f64 x)))) |
(neg.f64 (cos.f64 x)) |
Compiled 35278 to 21298 computations (39.6% saved)
22 alts after pruning (17 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1680 | 9 | 1689 |
| Fresh | 3 | 8 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 5 | 9 |
| Total | 1688 | 22 | 1710 |
| Status | Error | Program |
|---|---|---|
| ▶ | 50.94% | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
| ▶ | 0.18% | (/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 x)) |
| 69.1% | (/.f64 (/.f64 6 x) x) | |
| ✓ | 52.2% | (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
| ▶ | 47.53% | (/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6))) (*.f64 x x)) |
| 50.95% | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) | |
| 52.23% | (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) | |
| 57.13% | (/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) | |
| 70.22% | (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) | |
| ✓ | 52.14% | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 0.49% | (/.f64 (sin.f64 x) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) | |
| 0.46% | (/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)) | |
| ▶ | 69.05% | (/.f64 6 (*.f64 x x)) |
| 52.24% | (/.f64 -1 (/.f64 (*.f64 x x) (/.f64 -1 (/.f64 -1 (+.f64 -1 (cos.f64 x)))))) | |
| ✓ | 51.3% | (/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) |
| 51.31% | (/.f64 -1 (*.f64 (*.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) x) (neg.f64 x))) | |
| 47.06% | (+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) | |
| ✓ | 47.06% | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| ✓ | 50.95% | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| ▶ | 51.1% | (*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
| 51.03% | (*.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) (/.f64 1 x)) | |
| 45.59% | 1/2 |
Compiled 445 to 309 computations (30.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.09% | (/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 x)) |
| ✓ | 0.19% | (/.f64 x (tan.f64 (*.f64 x 1/2))) |
| ✓ | 0.26% | (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) |
Compiled 46 to 25 computations (45.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) |
| 0.0ms | x | @ | -inf | (/.f64 x (tan.f64 (*.f64 x 1/2))) |
| 0.0ms | x | @ | inf | (/.f64 x (tan.f64 (*.f64 x 1/2))) |
| 0.0ms | x | @ | -inf | (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) |
| 0.0ms | x | @ | 0 | (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) |
| 1× | batch-egg-rewrite |
| 1514× | associate-/r/ |
| 1028× | associate-/l/ |
| 608× | distribute-lft-neg-in |
| 294× | add-sqr-sqrt |
| 288× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 89 |
| 1 | 286 | 77 |
| 2 | 4397 | 77 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) |
(/.f64 x (tan.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2))) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2))) 0) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2))) (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2))) (*.f64 (/.f64 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#<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (/.f64 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) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))))))) |
| 1× | egg-herbie |
| 1142× | associate-*r* |
| 1026× | associate-*l* |
| 954× | *-commutative |
| 818× | associate-/l* |
| 696× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 610 | 10445 |
| 1 | 1857 | 10011 |
| 2 | 7917 | 10011 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 x) |
(+.f64 (*.f64 -1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/40320 (pow.f64 x 7)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))) |
2 |
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/360 (pow.f64 x 4)))) |
(+.f64 (*.f64 -1/15120 (pow.f64 x 6)) (+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/360 (pow.f64 x 4))))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
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 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(+.f64 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2))) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) 1) |
(+.f64 (-.f64 0 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(+.f64 (-.f64 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2))) 0) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(+.f64 (-.f64 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2))) (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) 1) |
(+.f64 (-.f64 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2))) (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(+.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 0) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(-.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) 1) |
(-.f64 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2))) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1) |
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 -1 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sin.f64 x)) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) 1) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) |
(*.f64 (*.f64 1 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)) (*.f64 (sin.f64 x) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 -1 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)) (*.f64 (sin.f64 x) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 -1 (/.f64 x (*.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 -1 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (-.f64 0 (*.f64 x x))) x) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (-.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 x)) (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)) 1) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 x)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 x)) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (neg.f64 (/.f64 1 x)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) 1)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (neg.f64 (*.f64 1 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2))) (*.f64 (sin.f64 x) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
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(*.f64 (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) x)) (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) x)) (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (-.f64 0 (*.f64 x x))) x) |
(*.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (-.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0)) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 1 (*.f64 x (/.f64 x (sin.f64 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 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) x) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 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 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 -1 (/.f64 x (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 -1 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 -1 (*.f64 x (/.f64 x (sin.f64 x)))) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)) (*.f64 (sin.f64 x) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (*.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (neg.f64 (/.f64 1 x)) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x)) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 x))) (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (sqrt.f64 x))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 2)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (sqrt.f64 x))) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) x))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 x) x))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (cbrt.f64 x))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) 1)) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x)) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (sqrt.f64 x))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) -1)) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x)) |
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) x))) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) x))) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x))) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) 3) 1/3) |
(pow.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 x 1/2))) -1) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))) |
| Outputs |
|---|
(*.f64 -1/2 x) |
(+.f64 (*.f64 -1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(fma.f64 -1/2 x (*.f64 1/24 (pow.f64 x 3))) |
(fma.f64 1/24 (pow.f64 x 3) (*.f64 -1/2 x)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(fma.f64 -1/2 x (fma.f64 -1/720 (pow.f64 x 5) (*.f64 1/24 (pow.f64 x 3)))) |
(fma.f64 -1/2 x (fma.f64 1/24 (pow.f64 x 3) (*.f64 -1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/40320 (pow.f64 x 7)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))) |
(fma.f64 1/40320 (pow.f64 x 7) (fma.f64 -1/2 x (fma.f64 -1/720 (pow.f64 x 5) (*.f64 1/24 (pow.f64 x 3))))) |
(fma.f64 1/40320 (pow.f64 x 7) (fma.f64 -1/2 x (fma.f64 1/24 (pow.f64 x 3) (*.f64 -1/720 (pow.f64 x 5))))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) x))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) x)) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) x))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) x)) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) x))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) x)) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) x))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) x)) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) x))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) x)) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) x))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) x)) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) x))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) x)) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) x))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) x)) |
2 |
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 2 (*.f64 -1/6 (*.f64 x x))) |
(fma.f64 -1/6 (*.f64 x x) 2) |
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/360 (pow.f64 x 4)))) |
(+.f64 2 (fma.f64 -1/6 (*.f64 x x) (*.f64 -1/360 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -1/6 (*.f64 x x) 2) (*.f64 -1/360 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/15120 (pow.f64 x 6)) (+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/360 (pow.f64 x 4))))) |
(fma.f64 -1/15120 (pow.f64 x 6) (+.f64 2 (fma.f64 -1/6 (*.f64 x x) (*.f64 -1/360 (pow.f64 x 4))))) |
(fma.f64 -1/15120 (pow.f64 x 6) (+.f64 (fma.f64 -1/6 (*.f64 x x) 2) (*.f64 -1/360 (pow.f64 x 4)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) x)) |
(*.f64 x (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) x)) |
(*.f64 x (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) x)) |
(*.f64 x (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) x)) |
(*.f64 x (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) x)) |
(*.f64 x (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) x)) |
(*.f64 x (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) x)) |
(*.f64 x (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) x)) |
(*.f64 x (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/720))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.f64 (pow.f64 x 4) 1/720)) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/720)))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 (pow.f64 x 6) -1/40320 (*.f64 (pow.f64 x 4) 1/720))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.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) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.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) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.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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(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) -1)) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x)) |
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) x))) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) x))) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) 1) |
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 2) |
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 3) |
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) 3) 1/3) |
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(pow.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 x 1/2))) -1) |
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) |
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))) |
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))))) |
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) 3)) |
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) (pow.f64 x 3))) |
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))) |
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))) |
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 1)) |
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))) |
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.61% | (/.f64 6 (*.f64 x x)) |
Compiled 11 to 5 computations (54.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 6 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 6 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 6 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1222× | add-sqr-sqrt |
| 1190× | *-un-lft-identity |
| 1124× | add-cube-cbrt |
| 1116× | add-cbrt-cube |
| 1106× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 129 | 13 |
| 2 | 1590 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 6 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 6) x) (/.f64 (sqrt.f64 6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) (cbrt.f64 (/.f64 36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -6 (/.f64 1 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 6) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1834× | associate-/r* |
| 1508× | distribute-lft-in |
| 998× | associate-+r+ |
| 988× | associate-+l+ |
| 916× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 485 |
| 1 | 136 | 485 |
| 2 | 447 | 485 |
| 3 | 2833 | 485 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (pow.f64 x 2)) |
(-.f64 (+.f64 1 (/.f64 6 (*.f64 x x))) 1) |
(*.f64 6 (pow.f64 x -2)) |
(*.f64 (/.f64 6 (*.f64 x x)) 1) |
(*.f64 1 (/.f64 6 (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 6) x) (/.f64 (sqrt.f64 6) x)) |
(*.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (/.f64 6 (*.f64 x x)))) |
(*.f64 (/.f64 6 x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) 6) |
(*.f64 -6 (/.f64 1 (neg.f64 (*.f64 x x)))) |
(pow.f64 (/.f64 6 (*.f64 x x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 6) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3) 1/3) |
(pow.f64 (*.f64 (*.f64 x x) 1/6) -1) |
(sqrt.f64 (/.f64 36 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 6) (pow.f64 x -2))) |
(cbrt.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 6 (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 6 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (/.f64 6 (*.f64 x x)))) |
| Outputs |
|---|
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(-.f64 (+.f64 1 (/.f64 6 (*.f64 x x))) 1) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(*.f64 6 (pow.f64 x -2)) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 (/.f64 6 (*.f64 x x)) 1) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(*.f64 1 (/.f64 6 (*.f64 x x))) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 6) x) (/.f64 (sqrt.f64 6) x)) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 6 x) x)) (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 6 (pow.f64 x -2))) (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (/.f64 6 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 6 x) x)) (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 6 (pow.f64 x -2))) (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) |
(*.f64 (/.f64 6 x) (/.f64 1 x)) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) 6) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(*.f64 -6 (/.f64 1 (neg.f64 (*.f64 x x)))) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(pow.f64 (/.f64 6 (*.f64 x x)) 1) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 6) x) 2) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) 3) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(pow.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3) 1/3) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(pow.f64 (*.f64 (*.f64 x x) 1/6) -1) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(sqrt.f64 (/.f64 36 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 6) (pow.f64 x -2))) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3)) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(expm1.f64 (log1p.f64 (/.f64 6 (*.f64 x x)))) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(exp.f64 (log.f64 (/.f64 6 (*.f64 x x)))) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (/.f64 6 (*.f64 x x)))) |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 6 (pow.f64 x -2)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.09% | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
| 0.21% | (/.f64 (-.f64 1 (cos.f64 x)) x) | |
| 2.52% | (-.f64 1 (cos.f64 x)) |
Compiled 23 to 12 computations (47.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
| 1× | batch-egg-rewrite |
| 980× | *-commutative |
| 752× | associate-/l/ |
| 716× | associate-/r/ |
| 686× | unswap-sqr |
| 610× | swap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 193 | 23 |
| 2 | 2715 | 23 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> 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x x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1440× | times-frac |
| 1386× | associate-/l* |
| 938× | associate-/r* |
| 680× | unswap-sqr |
| 576× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 2642 |
| 1 | 591 | 2504 |
| 2 | 1905 | 2500 |
| 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 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)))) |
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1) |
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x))) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 x) (/.f64 1 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x)) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 1 (*.f64 x (sqrt.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) |
(*.f64 (/.f64 1 (*.f64 x (sqrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x 1)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/6)) |
(*.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2) (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2)) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3) |
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x))) |
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 1)) |
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -1 x))) |
(neg.f64 (*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))) |
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
| Outputs |
|---|
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))) |
(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 (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 (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 x (*.f64 -1/24 x))) (fma.f64 1/720 (pow.f64 x 4) 1/2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 x) (/.f64 1 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) |
(/.f64 (-.f64 1 (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)) x)) 2) (pow.f64 (cbrt.f64 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 1 (cos.f64 x)) (*.f64 x x))))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (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)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 1 (*.f64 x (sqrt.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 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 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (-.f64 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 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (*.f64 x (sqrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 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)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) |
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 (cos.f64 x) -1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x 1)) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3/2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/6)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2) (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -1 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.16% | (*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
| ✓ | 0.17% | (/.f64 (cos.f64 x) x) |
| ✓ | 2.75% | (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
Compiled 32 to 15 computations (53.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
| 1.0ms | x | @ | -inf | (*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
| 0.0ms | x | @ | 0 | (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
| 1× | batch-egg-rewrite |
| 1334× | associate-/l* |
| 734× | distribute-rgt-in |
| 700× | distribute-lft-in |
| 682× | associate-/r/ |
| 646× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 51 |
| 1 | 219 | 51 |
| 2 | 3182 | 51 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
(/.f64 (cos.f64 x) x) |
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))))) (#(struct:change 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| 1× | egg-herbie |
| 1782× | associate-/l* |
| 1546× | associate-/r* |
| 1428× | associate-*r* |
| 1340× | associate-*l* |
| 978× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 850 | 18959 |
| 1 | 2613 | 18373 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 1 x) |
(+.f64 (*.f64 -1/2 x) (/.f64 1 x)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (*.f64 1/24 (pow.f64 x 3))))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 1 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 1 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) 1)) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) 1)) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) 1)) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) 1)) |
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x)) |
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)))) |
(+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(+.f64 (-.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) x)))) 1) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) |
(*.f64 (pow.f64 x -1/2) (-.f64 (pow.f64 x -1/2) (/.f64 (cos.f64 x) (sqrt.f64 x)))) |
(*.f64 (pow.f64 x -1/2) (-.f64 (pow.f64 x -1/2) (*.f64 (cos.f64 x) (pow.f64 x -1/2)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (-.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 x -2))))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (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) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1)) |
(*.f64 (pow.f64 x -2) (-.f64 x (*.f64 x (cos.f64 x)))) |
(*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))) |
(*.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x)) |
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x -2)) |
(*.f64 -1 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (cos.f64 x) x))) |
(*.f64 -1 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 1 (neg.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1) (/.f64 1 x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (pow.f64 x -1/2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (+.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) (pow.f64 x -1/2)) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (cos.f64 x) x)))) |
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))))) (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 1 (neg.f64 x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2)))) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (+.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (-.f64 (cos.f64 x) 1)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (+.f64 x (/.f64 x (cos.f64 x)))) (*.f64 x (/.f64 x (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 x) (*.f64 x (neg.f64 (cos.f64 x))))) (*.f64 x (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 x) (neg.f64 (/.f64 x (cos.f64 x))))) (*.f64 (neg.f64 x) (/.f64 x (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 x)))) (*.f64 (neg.f64 x) x)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (+.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) (*.f64 (neg.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (pow.f64 (/.f64 (cos.f64 x) x) 2))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (-.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 x -2))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) -1) |
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) 1) (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2)))) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) 1) (+.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) 1) (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (-.f64 (cos.f64 x) 1)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) 1) (+.f64 x (/.f64 x (cos.f64 x)))) (*.f64 x (/.f64 x (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) 1) (+.f64 (neg.f64 x) (*.f64 x (neg.f64 (cos.f64 x))))) (*.f64 x (neg.f64 x))) |
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(expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) x))) |
(exp.f64 (log.f64 (/.f64 (cos.f64 x) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 x) x)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) x))) |
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(+.f64 (pow.f64 x -2) (*.f64 1 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x)))) |
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(+.f64 (pow.f64 x -2) (*.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x)) 1)) |
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(-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) 1) |
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 x (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))))) |
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(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x))) |
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 x (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))) |
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) 1)) |
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (neg.f64 x)) -1)) |
(/.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 (*.f64 x (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 x (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) |
(/.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x)))) (/.f64 1 x))) |
(/.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 x (/.f64 1 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))))))) |
(/.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (*.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x)))) x) 1)) |
(/.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (*.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x)))) (neg.f64 x)) -1)) |
(/.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x)))) (/.f64 (*.f64 x (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))))) (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x x) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) -1)) |
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(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 x (pow.f64 x -2))) |
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(/.f64 (sqrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) x)) |
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(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
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(/.f64 (sqrt.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))))))) |
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(/.f64 (*.f64 (cbrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))) (cbrt.f64 (-.f64 x (*.f64 x (cos.f64 x))))) (/.f64 (pow.f64 x 3) (cbrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 x (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
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(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (/.f64 (/.f64 x (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)))) |
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(/.f64 (*.f64 (/.f64 1 x) (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (neg.f64 x)) |
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(/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) 1) (*.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)) |
(/.f64 (*.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 x (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) |
(/.f64 (*.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x)))) x)) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1) (*.f64 x x)) |
(/.f64 (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) 1) (pow.f64 x 3)) |
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(/.f64 (*.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 x)) (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))))) |
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(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1) (*.f64 x x)) |
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(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
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(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (pow.f64 (/.f64 (cos.f64 x) x) 2))) (*.f64 (*.f64 x (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (pow.f64 x -2)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (/.f64 (cos.f64 x) x) 3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (*.f64 (*.f64 x (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))))) (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 3)) (*.f64 x (+.f64 (pow.f64 x -2) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (-.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x)))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 x x) (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x))))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) 3)) (*.f64 (*.f64 x (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (+.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (pow.f64 x -2)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (/.f64 (cos.f64 x) x) 3) 3)) (*.f64 (*.f64 x (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))))) (+.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (/.f64 (cos.f64 x) x) 3) (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (cos.f64 x) 3))))))) |
(/.f64 (-.f64 (/.f64 x (cos.f64 x)) x) (*.f64 x (*.f64 x (/.f64 x (cos.f64 x))))) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (-.f64 (neg.f64 (/.f64 x (cos.f64 x))) (neg.f64 x)) (*.f64 x (*.f64 (neg.f64 x) (/.f64 x (cos.f64 x))))) |
(/.f64 (-.f64 0 (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 (neg.f64 x) (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) -1) (*.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1) (*.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x)))) (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) (*.f64 x (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) -1) (*.f64 (*.f64 x x) (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2)))) (*.f64 (neg.f64 x) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2)))) (*.f64 x (*.f64 (neg.f64 (/.f64 1 x)) (+.f64 1 (cos.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (neg.f64 x) (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 x (neg.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))))))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (neg.f64 x) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 (neg.f64 x) x))) |
(pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 2)) |
(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 3)) |
(cbrt.f64 (*.f64 (pow.f64 x -3) (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x -3))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5))))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 1 x) |
(+.f64 (*.f64 -1/2 x) (/.f64 1 x)) |
(fma.f64 -1/2 x (/.f64 1 x)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (fma.f64 -1/2 x (/.f64 1 x)) (*.f64 (pow.f64 x 3) 1/24)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (*.f64 1/24 (pow.f64 x 3))))) |
(fma.f64 -1/2 x (fma.f64 -1/720 (pow.f64 x 5) (+.f64 (/.f64 1 x) (*.f64 (pow.f64 x 3) 1/24)))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (*.f64 x (*.f64 x -1/24))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (+.f64 (*.f64 (/.f64 -1 x) (+.f64 (cos.f64 x) -1)) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (+.f64 (*.f64 (/.f64 -1 x) (+.f64 (cos.f64 x) -1)) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (+.f64 (*.f64 (/.f64 -1 x) (+.f64 (cos.f64 x) -1)) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (+.f64 (*.f64 (/.f64 -1 x) (+.f64 (cos.f64 x) -1)) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))) |
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(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))) |
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(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 (cos.f64 x) (neg.f64 x)))) (*.f64 x (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x (/.f64 x (cos.f64 x))))) (*.f64 x (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (cos.f64 x)) (*.f64 x (cos.f64 x)))) (*.f64 (pow.f64 x 3) (+.f64 x (*.f64 x (cos.f64 x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x 3) (+.f64 x (*.f64 x (cos.f64 x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 (pow.f64 (cos.f64 x) 2) x))) (+.f64 (pow.f64 x 4) (*.f64 (cos.f64 x) (pow.f64 x 4)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (*.f64 x (*.f64 x (+.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (pow.f64 (/.f64 (cos.f64 x) x) 2))) (*.f64 (*.f64 x (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (pow.f64 x -2)))) |
(/.f64 (-.f64 (pow.f64 x -4) (pow.f64 (/.f64 (cos.f64 x) x) 4)) (*.f64 x (*.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (+.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2))))) |
(/.f64 (-.f64 (pow.f64 x -4) (pow.f64 (/.f64 (cos.f64 x) x) 4)) (*.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 x (+.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (/.f64 (cos.f64 x) x) 3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (*.f64 (*.f64 x (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))))) (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (-.f64 (pow.f64 x -6) (pow.f64 (/.f64 (cos.f64 x) x) 6)) (*.f64 x (*.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (+.f64 1 (cos.f64 x)))) (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))) |
(/.f64 (-.f64 (pow.f64 x -6) (pow.f64 (/.f64 (cos.f64 x) x) 6)) (*.f64 x (*.f64 (+.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))))) (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))) |
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 3)) (*.f64 x (+.f64 (pow.f64 x -2) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (-.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 3)) x) (+.f64 (pow.f64 x -2) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 -1 x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 x x) (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)) (*.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 x (*.f64 (cos.f64 x) (+.f64 x (*.f64 x (cos.f64 x)))))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)) (*.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x))))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (*.f64 x (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (*.f64 x (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) 3)) (*.f64 (*.f64 x (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (+.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (pow.f64 x -2)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) 3)) (*.f64 (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 4) (*.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (pow.f64 x -2)))) (*.f64 x (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (/.f64 (cos.f64 x) x) 6)) (*.f64 (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 4) (*.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2)))) (*.f64 x (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (/.f64 (cos.f64 x) x) 3) 3)) (*.f64 (*.f64 x (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))))) (+.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (/.f64 (cos.f64 x) x) 3) (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (cos.f64 x) 3))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (/.f64 (cos.f64 x) x) 3) 3)) (*.f64 x (*.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (+.f64 1 (cos.f64 x)))) (+.f64 (pow.f64 x -6) (*.f64 (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (/.f64 (cos.f64 x) x) 3)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (/.f64 (cos.f64 x) x) 3) 3)) (*.f64 x (+.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))))))) (+.f64 (pow.f64 x -6) (*.f64 (pow.f64 x -3) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (/.f64 (cos.f64 x) x) 3))))) |
(/.f64 (-.f64 (/.f64 x (cos.f64 x)) x) (*.f64 x (*.f64 x (/.f64 x (cos.f64 x))))) |
(/.f64 (-.f64 (/.f64 x (cos.f64 x)) x) (/.f64 (pow.f64 x 3) (cos.f64 x))) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 x (*.f64 x (cos.f64 x)))) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3)) |
(/.f64 (-.f64 (neg.f64 (/.f64 x (cos.f64 x))) (neg.f64 x)) (*.f64 x (*.f64 (neg.f64 x) (/.f64 x (cos.f64 x))))) |
(/.f64 (-.f64 (/.f64 (neg.f64 x) (cos.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 (*.f64 x x)) (/.f64 x (cos.f64 x)))) |
(/.f64 (-.f64 0 (-.f64 (/.f64 x (cos.f64 x)) x)) (/.f64 (neg.f64 (pow.f64 x 3)) (cos.f64 x))) |
(/.f64 (-.f64 0 (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 (neg.f64 x) x))) |
(*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 x (*.f64 x (cos.f64 x)))) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3)) |
(/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 (neg.f64 x) (neg.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 x (*.f64 x (cos.f64 x)))) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3)) |
(/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) -1) (*.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (neg.f64 x))) |
(/.f64 1 (/.f64 (/.f64 (*.f64 x (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (pow.f64 x -2)) (-.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (pow.f64 x -2) (/.f64 (*.f64 x (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (-.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (*.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1) (*.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x)))) (neg.f64 x))) |
(/.f64 1 (*.f64 (/.f64 x (pow.f64 x -3)) (/.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (+.f64 1 (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))))) (/.f64 (pow.f64 x -3) x))) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) (*.f64 x (neg.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) -1) (*.f64 (*.f64 x x) (neg.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 x (*.f64 x (cos.f64 x)))) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2)))) (*.f64 (neg.f64 x) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))) |
(/.f64 1 (/.f64 (/.f64 (*.f64 x (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (pow.f64 x -2)) (-.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (pow.f64 x -2) (/.f64 (*.f64 x (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (-.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2)))) (*.f64 x (*.f64 (neg.f64 (/.f64 1 x)) (+.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (pow.f64 x -2) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)))) (*.f64 x (*.f64 (/.f64 -1 x) (+.f64 1 (cos.f64 x))))) |
(/.f64 (pow.f64 x -2) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (/.f64 (neg.f64 x) x)) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (neg.f64 x) (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) |
(/.f64 1 (*.f64 (/.f64 x (pow.f64 x -3)) (/.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (+.f64 1 (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))))) (/.f64 (pow.f64 x -3) x))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 x (neg.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))))))) |
(/.f64 1 (*.f64 (/.f64 x (pow.f64 x -3)) (/.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (+.f64 1 (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))))) (/.f64 (pow.f64 x -3) x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (*.f64 x x))) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (*.f64 x x))) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (neg.f64 x))) |
(/.f64 (neg.f64 (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (neg.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 x (*.f64 x (cos.f64 x)))) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3)) |
(/.f64 (neg.f64 (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 (neg.f64 x) x))) |
(*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 x (*.f64 x (cos.f64 x)))) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3)) |
(pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 3) 1/3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2)) |
(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 3)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(cbrt.f64 (*.f64 (pow.f64 x -3) (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x -3))) |
(cbrt.f64 (*.f64 (pow.f64 x -3) (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.43% | (fma.f64 1/120 (*.f64 x x) 1/6) |
| 0.57% | (/.f64 2 (*.f64 x x)) | |
| ✓ | 0.65% | (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6))) |
| ✓ | 26.57% | (/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6))) (*.f64 x x)) |
Compiled 64 to 34 computations (46.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6))) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6))) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (fma.f64 1/120 (*.f64 x x) 1/6) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6))) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6))) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1334× | associate-/l* |
| 866× | distribute-rgt-in |
| 834× | distribute-lft-in |
| 540× | associate-/l/ |
| 540× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 105 |
| 1 | 308 | 91 |
| 2 | 4034 | 91 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6))) (*.f64 x x)) |
(/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/6 (*.f64 (*.f64 x x) 1/120))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/6 (*.f64 (*.f64 (*.f64 x x) 1/120) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1/120) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) 1/120) 1) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 (*.f64 x x) 1/120) 1)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) 1/120) 1) 1) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/120 (*.f64 x x) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/120 (*.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) (sqrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) 2) (cbrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 1/120) (*.f64 (*.f64 x x) 1/120)) 1/36) (-.f64 (*.f64 (*.f64 x x) 1/120) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/216 (pow.f64 (*.f64 (*.f64 x x) 1/120) 3)) (+.f64 (*.f64 (*.f64 (*.f64 x x) 1/120) (*.f64 (*.f64 x x) 1/120)) (-.f64 1/36 (*.f64 (*.f64 (*.f64 x x) 1/120) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/120 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/120 (*.f64 x x) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/120 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/120 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/120 (*.f64 x x) 1/6))))))) |
| 1× | egg-herbie |
| 884× | associate-/l/ |
| 666× | +-commutative |
| 582× | associate-+r+ |
| 562× | associate-+l+ |
| 560× | associate-/r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 412 | 9527 |
| 1 | 1221 | 9107 |
| 2 | 4968 | 9061 |
| 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 1/17280 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 120 (pow.f64 x 4)) |
(-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(-.f64 (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4)))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(-.f64 (+.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 10))) (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4))))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(/.f64 120 (pow.f64 x 4)) |
(-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(-.f64 (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4)))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(-.f64 (+.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 10))) (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4))))) (*.f64 2400 (/.f64 1 (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 1/17280 (pow.f64 x 8)) (*.f64 1/720 (pow.f64 x 6))))) |
(/.f64 120 (pow.f64 x 2)) |
(-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 2))) (*.f64 2400 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 6))) (*.f64 120 (/.f64 1 (pow.f64 x 2)))) (*.f64 2400 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 6))) (*.f64 120 (/.f64 1 (pow.f64 x 2))))) (*.f64 2400 (/.f64 1 (pow.f64 x 4)))) |
(/.f64 120 (pow.f64 x 2)) |
(-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 2))) (*.f64 2400 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 6))) (*.f64 120 (/.f64 1 (pow.f64 x 2)))) (*.f64 2400 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 6))) (*.f64 120 (/.f64 1 (pow.f64 x 2))))) (*.f64 2400 (/.f64 1 (pow.f64 x 4)))) |
1/6 |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) 1/6) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) 1/6) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) 1/6) |
(*.f64 1/120 (pow.f64 x 2)) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) 1/6) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) 1/6) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) 1/6) |
(*.f64 1/120 (pow.f64 x 2)) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) 1/6) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) 1/6) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) 1/6) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))))) 1) |
(*.f64 1 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))) |
(*.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) 1) |
(*.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1/2) x) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1/2) x)) |
(*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1/2) (*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1/2) (pow.f64 x -2))) |
(*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1/2) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1/2) (*.f64 x x))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))) 2) (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))) (pow.f64 x -2))) |
(*.f64 (/.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))) |
(*.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) (/.f64 1 (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 1 x) (/.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (/.f64 -1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1/2) (*.f64 x x)) (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1/2)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1/2) (cbrt.f64 (pow.f64 x 4))) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1/2) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -2)) 1) (/.f64 1 (*.f64 (*.f64 x x) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -2)) x) (/.f64 1 (*.f64 x (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -2)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -2)) (*.f64 x x)) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))))) |
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2)))) (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 3)))) (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (-.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (*.f64 2 (pow.f64 x -2)))))) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -2)) x))) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))))) |
(*.f64 (/.f64 (pow.f64 x -2) 1) (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))) |
(*.f64 (/.f64 (pow.f64 x -2) (sqrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))) (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1/2)) |
(*.f64 (/.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))))) |
(*.f64 (/.f64 (pow.f64 x -2) (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))) (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 3))) (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (-.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (*.f64 2 (pow.f64 x -2)))))) |
(*.f64 (/.f64 (pow.f64 x -2) (neg.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))) -1) |
(*.f64 (/.f64 (pow.f64 x -2) (neg.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2)))) (neg.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 1/120 (*.f64 x x) 1/6)))) |
(*.f64 (/.f64 (pow.f64 x -2) (neg.f64 (+.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 3)))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (-.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (*.f64 2 (pow.f64 x -2))))))) |
(*.f64 (/.f64 (pow.f64 x -2) (-.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2) (/.f64 4 (pow.f64 x 4)))) (-.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (*.f64 2 (pow.f64 x -2)))) |
(*.f64 (/.f64 (*.f64 -1 (pow.f64 x -2)) (neg.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2)))) (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(*.f64 (/.f64 (*.f64 -1 (pow.f64 x -2)) (neg.f64 (+.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 3)))) (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (-.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (*.f64 2 (pow.f64 x -2)))))) |
(pow.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) 1) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1/2) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))) 3) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) 3) 1/3) |
(pow.f64 (*.f64 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) -1) |
(neg.f64 (/.f64 -1 (*.f64 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))))) |
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -2) (pow.f64 x 4))) |
(log.f64 (exp.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))))) |
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) 3)) |
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(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))))) 1) |
(*.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))) |
(*.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) 1) |
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(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) 3))) |
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(exp.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) -1)) |
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(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))))) |
(+.f64 1/6 (*.f64 (*.f64 x x) 1/120)) |
(+.f64 1/6 (*.f64 (*.f64 (*.f64 x x) 1/120) 1)) |
(+.f64 (*.f64 (*.f64 x x) 1/120) 1/6) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) 1/120) 1) 1/6) |
(+.f64 (*.f64 1 (*.f64 (*.f64 (*.f64 x x) 1/120) 1)) 1/6) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) 1/120) 1) 1) 1/6) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/120 (*.f64 x x) 1/6))) 1) |
(*.f64 1 (fma.f64 1/120 (*.f64 x x) 1/6)) |
(*.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 1) |
(*.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) (sqrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6))) |
(*.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) 2) (cbrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 1/120) (*.f64 (*.f64 x x) 1/120)) 1/36) (-.f64 (*.f64 (*.f64 x x) 1/120) 1/6)) |
(/.f64 (+.f64 1/216 (pow.f64 (*.f64 (*.f64 x x) 1/120) 3)) (+.f64 (*.f64 (*.f64 (*.f64 x x) 1/120) (*.f64 (*.f64 x x) 1/120)) (-.f64 1/36 (*.f64 (*.f64 (*.f64 x x) 1/120) 1/6)))) |
(pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 1) |
(pow.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) 3) |
(pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2)) |
(log.f64 (exp.f64 (fma.f64 1/120 (*.f64 x x) 1/6))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/120 (*.f64 x x) 1/6)))) |
(cbrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 1/120 (*.f64 x x) 1/6))) |
(exp.f64 (log.f64 (fma.f64 1/120 (*.f64 x x) 1/6))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 1/120 (*.f64 x x) 1/6))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (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 1/17280 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/17280 (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 1/17280 (pow.f64 x 6)))) |
(/.f64 120 (pow.f64 x 4)) |
(-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(-.f64 (/.f64 120 (pow.f64 x 4)) (/.f64 2400 (pow.f64 x 6))) |
(+.f64 (/.f64 120 (pow.f64 x 4)) (/.f64 -2400 (pow.f64 x 6))) |
(-.f64 (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4)))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(+.f64 (/.f64 19200 (pow.f64 x 8)) (-.f64 (/.f64 120 (pow.f64 x 4)) (/.f64 2400 (pow.f64 x 6)))) |
(+.f64 (/.f64 120 (pow.f64 x 4)) (+.f64 (/.f64 19200 (pow.f64 x 8)) (/.f64 -2400 (pow.f64 x 6)))) |
(-.f64 (+.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 10))) (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4))))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(+.f64 (/.f64 192000 (pow.f64 x 10)) (+.f64 (/.f64 19200 (pow.f64 x 8)) (-.f64 (/.f64 120 (pow.f64 x 4)) (/.f64 2400 (pow.f64 x 6))))) |
(+.f64 (+.f64 (/.f64 120 (pow.f64 x 4)) (/.f64 19200 (pow.f64 x 8))) (+.f64 (/.f64 192000 (pow.f64 x 10)) (/.f64 -2400 (pow.f64 x 6)))) |
(+.f64 (/.f64 120 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 19200 (pow.f64 x 8)) (/.f64 192000 (pow.f64 x 10))) (/.f64 -2400 (pow.f64 x 6)))) |
(/.f64 120 (pow.f64 x 4)) |
(-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(-.f64 (/.f64 120 (pow.f64 x 4)) (/.f64 2400 (pow.f64 x 6))) |
(+.f64 (/.f64 120 (pow.f64 x 4)) (/.f64 -2400 (pow.f64 x 6))) |
(-.f64 (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4)))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(+.f64 (/.f64 19200 (pow.f64 x 8)) (-.f64 (/.f64 120 (pow.f64 x 4)) (/.f64 2400 (pow.f64 x 6)))) |
(+.f64 (/.f64 120 (pow.f64 x 4)) (+.f64 (/.f64 19200 (pow.f64 x 8)) (/.f64 -2400 (pow.f64 x 6)))) |
(-.f64 (+.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 10))) (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4))))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(+.f64 (/.f64 192000 (pow.f64 x 10)) (+.f64 (/.f64 19200 (pow.f64 x 8)) (-.f64 (/.f64 120 (pow.f64 x 4)) (/.f64 2400 (pow.f64 x 6))))) |
(+.f64 (+.f64 (/.f64 120 (pow.f64 x 4)) (/.f64 19200 (pow.f64 x 8))) (+.f64 (/.f64 192000 (pow.f64 x 10)) (/.f64 -2400 (pow.f64 x 6)))) |
(+.f64 (/.f64 120 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 19200 (pow.f64 x 8)) (/.f64 192000 (pow.f64 x 10))) (/.f64 -2400 (pow.f64 x 6)))) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.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 1/17280 (pow.f64 x 8)) (*.f64 1/720 (pow.f64 x 6))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/17280 (pow.f64 x 8) (*.f64 1/720 (pow.f64 x 6))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/17280 (pow.f64 x 8))))) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (*.f64 x x)) |
(/.f64 (/.f64 120 x) x) |
(-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 2))) (*.f64 2400 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (/.f64 120 (*.f64 x x)) (/.f64 2400 (pow.f64 x 4))) |
(+.f64 (/.f64 (/.f64 120 x) x) (/.f64 -2400 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 6))) (*.f64 120 (/.f64 1 (pow.f64 x 2)))) (*.f64 2400 (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 19200 (pow.f64 x 6)) (-.f64 (/.f64 120 (*.f64 x x)) (/.f64 2400 (pow.f64 x 4)))) |
(+.f64 (/.f64 (/.f64 120 x) x) (+.f64 (/.f64 19200 (pow.f64 x 6)) (/.f64 -2400 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 6))) (*.f64 120 (/.f64 1 (pow.f64 x 2))))) (*.f64 2400 (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 192000 (pow.f64 x 8)) (+.f64 (/.f64 19200 (pow.f64 x 6)) (-.f64 (/.f64 120 (*.f64 x x)) (/.f64 2400 (pow.f64 x 4))))) |
(+.f64 (+.f64 (/.f64 (/.f64 120 x) x) (/.f64 19200 (pow.f64 x 6))) (+.f64 (/.f64 192000 (pow.f64 x 8)) (/.f64 -2400 (pow.f64 x 4)))) |
(+.f64 (/.f64 (/.f64 120 x) x) (+.f64 (+.f64 (/.f64 19200 (pow.f64 x 6)) (/.f64 192000 (pow.f64 x 8))) (/.f64 -2400 (pow.f64 x 4)))) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (*.f64 x x)) |
(/.f64 (/.f64 120 x) x) |
(-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 2))) (*.f64 2400 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (/.f64 120 (*.f64 x x)) (/.f64 2400 (pow.f64 x 4))) |
(+.f64 (/.f64 (/.f64 120 x) x) (/.f64 -2400 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 6))) (*.f64 120 (/.f64 1 (pow.f64 x 2)))) (*.f64 2400 (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 19200 (pow.f64 x 6)) (-.f64 (/.f64 120 (*.f64 x x)) (/.f64 2400 (pow.f64 x 4)))) |
(+.f64 (/.f64 (/.f64 120 x) x) (+.f64 (/.f64 19200 (pow.f64 x 6)) (/.f64 -2400 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 6))) (*.f64 120 (/.f64 1 (pow.f64 x 2))))) (*.f64 2400 (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 192000 (pow.f64 x 8)) (+.f64 (/.f64 19200 (pow.f64 x 6)) (-.f64 (/.f64 120 (*.f64 x x)) (/.f64 2400 (pow.f64 x 4))))) |
(+.f64 (+.f64 (/.f64 (/.f64 120 x) x) (/.f64 19200 (pow.f64 x 6))) (+.f64 (/.f64 192000 (pow.f64 x 8)) (/.f64 -2400 (pow.f64 x 4)))) |
(+.f64 (/.f64 (/.f64 120 x) x) (+.f64 (+.f64 (/.f64 19200 (pow.f64 x 6)) (/.f64 192000 (pow.f64 x 8))) (/.f64 -2400 (pow.f64 x 4)))) |
1/6 |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) 1/6) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) 1/6) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) 1/6) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(*.f64 1/120 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/120)) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) 1/6) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) 1/6) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) 1/6) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(*.f64 1/120 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/120)) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) 1/6) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) 1/6) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) 1/6) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))))) 1) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(*.f64 1 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(*.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) (pow.f64 x -2)) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(*.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) 1) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1/2) x) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1/2) x)) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1/2) (*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1/2) (pow.f64 x -2))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1/2) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1/2) (*.f64 x x))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))) 2)) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))) 2) (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -2)) (/.f64 (*.f64 1 (pow.f64 x -2)) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))))) |
(*.f64 (pow.f64 x -2) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -2)) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))))) |
(*.f64 (/.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) x) (/.f64 1 x)) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(*.f64 (pow.f64 x -2) (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(*.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) (/.f64 1 (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) (*.f64 x (neg.f64 x))) |
(/.f64 -1 (*.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 1 x) (/.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) x)) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (*.f64 (cbrt.f64 (*.f64 x x)) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))))) |
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(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(pow.f64 (*.f64 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) -1) |
(/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
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(+.f64 (*.f64 (/.f64 1 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))) (*.f64 2 (pow.f64 x -2))) (*.f64 (/.f64 1 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))) (neg.f64 (fma.f64 1/120 (*.f64 x x) 1/6)))) |
(/.f64 (*.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 1/120 (*.f64 x x) 1/6)) 1) (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))) |
(/.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 x (*.f64 x 1/120) 1/6)) (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 2))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))) (*.f64 2 (pow.f64 x -2))) (*.f64 (/.f64 1 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))) (*.f64 -1 (fma.f64 1/120 (*.f64 x x) 1/6)))) |
(/.f64 (*.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 1/120 (*.f64 x x) 1/6)) 1) (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))) |
(/.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 x (*.f64 x 1/120) 1/6)) (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 2))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))) (*.f64 2 (pow.f64 x -2))) (*.f64 (/.f64 1 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6))) (sqrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6))))) |
(/.f64 (*.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 1/120 (*.f64 x x) 1/6)) 1) (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))) |
(/.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 x (*.f64 x 1/120) 1/6)) (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 2))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))) (*.f64 2 (pow.f64 x -2))) (*.f64 (/.f64 1 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) 2)) (cbrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6))))) |
(/.f64 (*.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 1/120 (*.f64 x x) 1/6)) 1) (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))) |
(/.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 x (*.f64 x 1/120) 1/6)) (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 2))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 3))) (/.f64 4 (pow.f64 x 4))) (*.f64 (/.f64 1 (+.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 3))) (*.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (-.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (*.f64 2 (pow.f64 x -2)))))) |
(*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (+.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (*.f64 -2 (pow.f64 x -2))))) (/.f64 1 (+.f64 (/.f64 8 (pow.f64 x 6)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 3)))) |
(/.f64 (fma.f64 (fma.f64 x (*.f64 x 1/120) 1/6) (+.f64 (fma.f64 x (*.f64 x 1/120) 1/6) (*.f64 -2 (pow.f64 x -2))) (/.f64 4 (pow.f64 x 4))) (+.f64 (/.f64 8 (pow.f64 x 6)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 3))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 3))) (*.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (-.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (*.f64 2 (pow.f64 x -2))))) (*.f64 (/.f64 1 (+.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 3))) (/.f64 4 (pow.f64 x 4)))) |
(*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (+.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (*.f64 -2 (pow.f64 x -2))))) (/.f64 1 (+.f64 (/.f64 8 (pow.f64 x 6)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 3)))) |
(/.f64 (fma.f64 (fma.f64 x (*.f64 x 1/120) 1/6) (+.f64 (fma.f64 x (*.f64 x 1/120) 1/6) (*.f64 -2 (pow.f64 x -2))) (/.f64 4 (pow.f64 x 4))) (+.f64 (/.f64 8 (pow.f64 x 6)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 3))) |
(+.f64 (*.f64 (*.f64 2 (pow.f64 x -2)) (/.f64 1 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2)))) (*.f64 (neg.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) (/.f64 1 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))))) |
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(+.f64 (*.f64 (*.f64 2 (pow.f64 x -2)) (/.f64 1 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2)))) (*.f64 (*.f64 -1 (fma.f64 1/120 (*.f64 x x) 1/6)) (/.f64 1 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))))) |
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(/.f64 (*.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 1/120 (*.f64 x x) 1/6)) 1) (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))) |
(/.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 x (*.f64 x 1/120) 1/6)) (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 2))) |
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(/.f64 (*.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 1/120 (*.f64 x x) 1/6)) 1) (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))) |
(/.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 x (*.f64 x 1/120) 1/6)) (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 2))) |
(+.f64 (*.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 1/120 (*.f64 x x) 1/6)) (/.f64 1 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2)))) (*.f64 (fma.f64 (neg.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) 1 (fma.f64 1/120 (*.f64 x x) 1/6)) (/.f64 1 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 1/120 (*.f64 x x) 1/6)) 1) (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))) |
(/.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 x (*.f64 x 1/120) 1/6)) (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 2))) |
(+.f64 (*.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 1/120 (*.f64 x x) 1/6)) (/.f64 1 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2)))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6))) (sqrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) (fma.f64 1/120 (*.f64 x x) 1/6)) (/.f64 1 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))))) |
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(*.f64 (/.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 x (*.f64 x 1/120) 1/6)) (-.f64 (/.f64 (/.f64 16 (pow.f64 x 4)) (pow.f64 x 4)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 4))) (+.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 2))) |
(*.f64 (/.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 x (*.f64 x 1/120) 1/6)) (-.f64 (/.f64 16 (pow.f64 x 8)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 4))) (+.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 2))) |
(*.f64 (/.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 1/120 (*.f64 x x) 1/6)) (-.f64 (pow.f64 (/.f64 4 (pow.f64 x 4)) 3) (pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2) 3))) (+.f64 (*.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 4))) (+.f64 (*.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2)) (*.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))))) |
(*.f64 (/.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 1/120 (*.f64 x x) 1/6)) (-.f64 (/.f64 64 (pow.f64 (pow.f64 x 4) 3)) (pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2) 3))) (fma.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 4)) (+.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 4) (*.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))))) |
(*.f64 (/.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 x (*.f64 x 1/120) 1/6)) (-.f64 (/.f64 64 (pow.f64 (pow.f64 x 4) 3)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 6))) (+.f64 (/.f64 (/.f64 16 (pow.f64 x 4)) (pow.f64 x 4)) (fma.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 2) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 4)))) |
(*.f64 (/.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 x (*.f64 x 1/120) 1/6)) (-.f64 (/.f64 64 (pow.f64 (pow.f64 x 4) 3)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 6))) (fma.f64 (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 2) (+.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 2)) (/.f64 16 (pow.f64 x 8)))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2) (/.f64 4 (pow.f64 x 4)))) (-.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (*.f64 2 (pow.f64 x -2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 1/120 (*.f64 x x) 1/6)) 1) (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2))) |
(/.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 x (*.f64 x 1/120) 1/6)) (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 2))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1/2) (sqrt.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2)))) (sqrt.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 1/120 (*.f64 x x) 1/6)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -1/2) (sqrt.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 2)))) (sqrt.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 x (*.f64 x 1/120) 1/6)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1/2) (sqrt.f64 (+.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 3)))) (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (-.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (*.f64 2 (pow.f64 x -2))))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1/2) (sqrt.f64 (+.f64 (/.f64 8 (pow.f64 x 6)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 3)))) (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (+.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (*.f64 -2 (pow.f64 x -2))))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -1/2) (sqrt.f64 (+.f64 (/.f64 8 (pow.f64 x 6)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 3)))) (sqrt.f64 (fma.f64 (fma.f64 x (*.f64 x 1/120) 1/6) (+.f64 (fma.f64 x (*.f64 x 1/120) 1/6) (*.f64 -2 (pow.f64 x -2))) (/.f64 4 (pow.f64 x 4))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) 2)) (cbrt.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2)))) (cbrt.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 1/120 (*.f64 x x) 1/6)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) -2) (cbrt.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 2)))) (cbrt.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 x (*.f64 x 1/120) 1/6)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) 2)) (cbrt.f64 (+.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 3)))) (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (-.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (*.f64 2 (pow.f64 x -2))))))) |
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (/.f64 8 (pow.f64 x 6)) (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 3))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) 2))) (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (+.f64 (fma.f64 1/120 (*.f64 x x) 1/6) (*.f64 -2 (pow.f64 x -2))))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) -2) (cbrt.f64 (+.f64 (/.f64 8 (pow.f64 x 6)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 3)))) (cbrt.f64 (fma.f64 (fma.f64 x (*.f64 x 1/120) 1/6) (+.f64 (fma.f64 x (*.f64 x 1/120) 1/6) (*.f64 -2 (pow.f64 x -2))) (/.f64 4 (pow.f64 x 4))))) |
(pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) 1) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -1/2) 2) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))) 3) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) 3)) 1/3) |
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) 3))) |
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) 3))) |
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) -2)) |
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)) 3))) |
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) -1)) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6)))) 1)) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) 1/6))) |
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) |
(+.f64 1/6 (*.f64 (*.f64 x x) 1/120)) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(+.f64 1/6 (*.f64 (*.f64 (*.f64 x x) 1/120) 1)) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(+.f64 (*.f64 (*.f64 x x) 1/120) 1/6) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) 1/120) 1) 1/6) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(+.f64 (*.f64 1 (*.f64 (*.f64 (*.f64 x x) 1/120) 1)) 1/6) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) 1/120) 1) 1) 1/6) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/120 (*.f64 x x) 1/6))) 1) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(*.f64 1 (fma.f64 1/120 (*.f64 x x) 1/6)) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(*.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 1) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(*.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) (sqrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6))) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(*.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) 2)) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) 2) (cbrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6))) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 1/120) (*.f64 (*.f64 x x) 1/120)) 1/36) (-.f64 (*.f64 (*.f64 x x) 1/120) 1/6)) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/14400) -1/36) (fma.f64 (*.f64 x x) 1/120 -1/6)) |
(/.f64 (fma.f64 (pow.f64 x 4) 1/14400 -1/36) (fma.f64 x (*.f64 x 1/120) -1/6)) |
(/.f64 (+.f64 1/216 (pow.f64 (*.f64 (*.f64 x x) 1/120) 3)) (+.f64 (*.f64 (*.f64 (*.f64 x x) 1/120) (*.f64 (*.f64 x x) 1/120)) (-.f64 1/36 (*.f64 (*.f64 (*.f64 x x) 1/120) 1/6)))) |
(/.f64 (+.f64 1/216 (*.f64 (pow.f64 x 6) 1/1728000)) (+.f64 (*.f64 (pow.f64 x 4) 1/14400) (-.f64 1/36 (*.f64 (*.f64 x x) 1/720)))) |
(/.f64 (fma.f64 (pow.f64 x 6) 1/1728000 1/216) (+.f64 (fma.f64 (pow.f64 x 4) 1/14400 1/36) (*.f64 (*.f64 x x) -1/720))) |
(pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 1) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(pow.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) 2) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) 3) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 3) 1/3) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(sqrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 2)) |
(fabs.f64 (fma.f64 x (*.f64 x 1/120) 1/6)) |
(log.f64 (exp.f64 (fma.f64 1/120 (*.f64 x x) 1/6))) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/120 (*.f64 x x) 1/6)))) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(cbrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) 1/6) 3)) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(expm1.f64 (log1p.f64 (fma.f64 1/120 (*.f64 x x) 1/6))) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(exp.f64 (log.f64 (fma.f64 1/120 (*.f64 x x) 1/6))) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/120 (*.f64 x x) 1/6)) 1)) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
(log1p.f64 (expm1.f64 (fma.f64 1/120 (*.f64 x x) 1/6))) |
(fma.f64 1/120 (*.f64 x x) 1/6) |
(fma.f64 x (*.f64 x 1/120) 1/6) |
Compiled 34783 to 20395 computations (41.4% saved)
21 alts after pruning (15 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1534 | 8 | 1542 |
| Fresh | 5 | 7 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 6 | 9 |
| Total | 1543 | 21 | 1564 |
| Status | Error | Program |
|---|---|---|
| 52.57% | (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x)) | |
| ✓ | 50.94% | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
| ✓ | 0.18% | (/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 x)) |
| 69.1% | (/.f64 (/.f64 6 x) x) | |
| 47.53% | (/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) 1/120) 1/6))) (*.f64 x x)) | |
| 51.05% | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) | |
| 52.23% | (/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) | |
| 70.22% | (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) | |
| ✓ | 52.14% | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 0.46% | (/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)) | |
| ✓ | 69.05% | (/.f64 6 (*.f64 x x)) |
| 51.3% | (/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) | |
| 51.31% | (/.f64 -1 (*.f64 (*.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) x) (neg.f64 x))) | |
| 47.06% | (+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) | |
| ✓ | 47.06% | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 69.09% | (*.f64 (pow.f64 x -2) 6) | |
| ✓ | 50.95% | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| 69.1% | (*.f64 (/.f64 6 x) (/.f64 1 x)) | |
| 50.95% | (*.f64 (/.f64 1 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 1 x)) | |
| 69.05% | (*.f64 -6 (/.f64 1 (neg.f64 (*.f64 x x)))) | |
| 45.59% | 1/2 |
Compiled 217 to 152 computations (30% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(*.f64 (/.f64 6 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 -6 (/.f64 1 (neg.f64 (*.f64 x x)))) |
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) 1/120) 1/6))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) 6) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) |
(*.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(*.f64 (/.f64 1 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 1 x)) |
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x)) |
(/.f64 -1 (*.f64 (*.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) x) (neg.f64 x))) |
(/.f64 -1 (/.f64 (*.f64 x x) (/.f64 -1 (/.f64 -1 (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6))) (*.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 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)) |
(/.f64 (sin.f64 x) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 x)) |
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x)) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
| Outputs |
|---|
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 x)) |
2 calls:
| 19.0ms | x |
| 6.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.18% | 1 | x |
| 0.18% | 1 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 482 to 271 computations (43.8% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(*.f64 (/.f64 6 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 -6 (/.f64 1 (neg.f64 (*.f64 x x)))) |
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) 1/120) 1/6))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) 6) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) |
(*.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(*.f64 (/.f64 1 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 1 x)) |
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x)) |
(/.f64 -1 (*.f64 (*.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) x) (neg.f64 x))) |
(/.f64 -1 (/.f64 (*.f64 x x) (/.f64 -1 (/.f64 -1 (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6))) (*.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 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)) |
(/.f64 (sin.f64 x) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
2 calls:
| 17.0ms | x |
| 5.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.18% | 1 | x |
| 0.18% | 1 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 406 to 227 computations (44.1% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(*.f64 (/.f64 6 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 -6 (/.f64 1 (neg.f64 (*.f64 x x)))) |
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) 1/120) 1/6))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) 6) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) |
(*.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(*.f64 (/.f64 1 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 1 x)) |
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x)) |
(/.f64 -1 (*.f64 (*.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) x) (neg.f64 x))) |
(/.f64 -1 (/.f64 (*.f64 x x) (/.f64 -1 (/.f64 -1 (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6))) (*.f64 x x)) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
| Outputs |
|---|
(*.f64 (/.f64 1 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 1 x)) |
1/2 |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
2 calls:
| 46.0ms | x |
| 12.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.22% | 3 | x |
| 0.99% | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 351 to 198 computations (43.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 2.0603663185444708e-12 | 0.014593224245897847 |
| 24.0ms | -163401053752.5904 | -1.405865586043849e-12 |
| 43.0ms | 336× | body | 256 | valid |
Compiled 350 to 283 computations (19.1% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(*.f64 (/.f64 6 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 -6 (/.f64 1 (neg.f64 (*.f64 x x)))) |
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) 1/120) 1/6))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) 6) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) |
(*.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) (/.f64 1 x)) |
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
1/2 |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
2 calls:
| 31.0ms | x |
| 11.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.23% | 3 | x |
| 0.99% | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 233 to 135 computations (42.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 2.0603663185444708e-12 | 0.014593224245897847 |
| 24.0ms | -163401053752.5904 | -1.405865586043849e-12 |
| 56.0ms | 336× | body | 256 | valid |
Compiled 328 to 261 computations (20.4% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(*.f64 (/.f64 6 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 -6 (/.f64 1 (neg.f64 (*.f64 x x)))) |
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) 1/120) 1/6))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) 6) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
1/2 |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
2 calls:
| 59.0ms | x |
| 9.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.23% | 3 | x |
| 0.99% | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 188 to 108 computations (42.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 2.0603663185444708e-12 | 0.014593224245897847 |
| 24.0ms | -163401053752.5904 | -1.405865586043849e-12 |
| 39.0ms | 336× | body | 256 | valid |
Compiled 308 to 241 computations (21.8% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(*.f64 (/.f64 6 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 -6 (/.f64 1 (neg.f64 (*.f64 x x)))) |
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) 1/120) 1/6))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) 6) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
1/2 |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
2 calls:
| 39.0ms | x |
| 26.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.23% | 3 | x |
| 0.99% | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 148 to 86 computations (41.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 2.0603663185444708e-12 | 0.014593224245897847 |
| 24.0ms | -163401053752.5904 | -1.405865586043849e-12 |
| 51.0ms | 336× | body | 256 | valid |
Compiled 286 to 219 computations (23.4% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(*.f64 (/.f64 6 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 -6 (/.f64 1 (neg.f64 (*.f64 x x)))) |
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) 1/120) 1/6))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) 6) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
1/2 |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
2 calls:
| 24.0ms | x |
| 7.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.58% | 3 | x |
| 1.01% | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 130 to 77 computations (40.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 2.0603663185444708e-12 | 0.014593224245897847 |
| 32.0ms | -163401053752.5904 | -1.405865586043849e-12 |
| 47.0ms | 336× | body | 256 | valid |
Compiled 286 to 219 computations (23.4% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(*.f64 (/.f64 6 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 -6 (/.f64 1 (neg.f64 (*.f64 x x)))) |
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) 1/120) 1/6))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) 6) |
| Outputs |
|---|
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
1 calls:
| 29.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.75% | 3 | x |
Compiled 113 to 67 computations (40.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 0.014593224245897847 | 1220311.5352028348 |
| 24.0ms | -163401053752.5904 | -1.405865586043849e-12 |
| 41.0ms | 320× | body | 256 | valid |
Compiled 467 to 356 computations (23.8% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(*.f64 (/.f64 6 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 -6 (/.f64 1 (neg.f64 (*.f64 x x)))) |
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
| Outputs |
|---|
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
(/.f64 6 (*.f64 x x)) |
1 calls:
| 39.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.75% | 3 | x |
Compiled 54 to 36 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.014593224245897847 | 1220311.5352028348 |
| 24.0ms | -163401053752.5904 | -1.405865586043849e-12 |
| 38.0ms | 320× | body | 256 | valid |
Compiled 413 to 329 computations (20.3% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(*.f64 (/.f64 6 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 -6 (/.f64 1 (neg.f64 (*.f64 x x)))) |
| Outputs |
|---|
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 6 (*.f64 x x)) |
1 calls:
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.75% | 3 | x |
Compiled 43 to 28 computations (34.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.014593224245897847 | 1220311.5352028348 |
| 39.0ms | -163401053752.5904 | -1.405865586043849e-12 |
| 54.0ms | 320× | body | 256 | valid |
Compiled 333 to 249 computations (25.2% saved)
Total -50.5b remaining (-442%)
Threshold costs -50.5b (-442%)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) x) |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(*.f64 (/.f64 6 x) (/.f64 1 x)) |
| Outputs |
|---|
(/.f64 6 (*.f64 x x)) |
1/2 |
(/.f64 6 (*.f64 x x)) |
1 calls:
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.86% | 3 | x |
Compiled 28 to 19 computations (32.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.014593224245897847 | 1220311.5352028348 |
| 34.0ms | -163401053752.5904 | -1.405865586043849e-12 |
| 49.0ms | 320× | body | 256 | valid |
Compiled 213 to 169 computations (20.7% saved)
| 1× | egg-herbie |
| 24× | +-commutative |
| 22× | *-commutative |
| 18× | sub-neg |
| 12× | neg-mul-1 |
| 12× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 662 |
| 1 | 108 | 662 |
| 2 | 126 | 662 |
| 3 | 136 | 662 |
| 4 | 141 | 662 |
| 5 | 142 | 662 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(if (<=.f64 x -4242751136953197/36893488147419103232) (*.f64 (/.f64 1 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 1 x)) (if (<=.f64 x 760928193040519/4611686018427387904) 1/2 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(if (<=.f64 x -4242751136953197/36893488147419103232) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 760928193040519/4611686018427387904) 1/2 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(if (<=.f64 x -4242751136953197/36893488147419103232) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 760928193040519/4611686018427387904) 1/2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -4242751136953197/36893488147419103232) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 760928193040519/4611686018427387904) 1/2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -4242751136953197/36893488147419103232) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 760928193040519/4611686018427387904) 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(if (<=.f64 x -3602879701896397/1125899906842624) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 7/2) (+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)))) |
(if (<=.f64 x -3602879701896397/1125899906842624) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3715469692580659/1125899906842624) (+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) (/.f64 6 (*.f64 x x)))) |
(if (<=.f64 x -3602879701896397/1125899906842624) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3715469692580659/1125899906842624) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 6 (*.f64 x x)))) |
(if (<=.f64 x -3884354678607053/1125899906842624) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 7/2) 1/2 (/.f64 6 (*.f64 x x)))) |
1/2 |
| Outputs |
|---|
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(if (<=.f64 x -4242751136953197/36893488147419103232) (*.f64 (/.f64 1 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 1 x)) (if (<=.f64 x 760928193040519/4611686018427387904) 1/2 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(if (<=.f64 x -4242751136953197/36893488147419103232) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 760928193040519/4611686018427387904) 1/2 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(if (<=.f64 x -4242751136953197/36893488147419103232) (*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) (if (<=.f64 x 760928193040519/4611686018427387904) 1/2 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(if (<=.f64 x -4242751136953197/36893488147419103232) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 760928193040519/4611686018427387904) 1/2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -4242751136953197/36893488147419103232) (*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) (if (<=.f64 x 760928193040519/4611686018427387904) 1/2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -4242751136953197/36893488147419103232) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 760928193040519/4611686018427387904) 1/2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (or (<=.f64 x -4242751136953197/36893488147419103232) (not (<=.f64 x 760928193040519/4611686018427387904))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 1/2) |
(if (<=.f64 x -4242751136953197/36893488147419103232) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 760928193040519/4611686018427387904) 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(if (or (<=.f64 x -4242751136953197/36893488147419103232) (not (<=.f64 x 760928193040519/4611686018427387904))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1/2) |
(if (<=.f64 x -3602879701896397/1125899906842624) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 7/2) (+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)))) |
(if (<=.f64 x -3602879701896397/1125899906842624) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 7/2) (+.f64 1/2 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/24)) -1)) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)))) |
(if (<=.f64 x -3602879701896397/1125899906842624) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3715469692580659/1125899906842624) (+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) (/.f64 6 (*.f64 x x)))) |
(if (or (<=.f64 x -3602879701896397/1125899906842624) (not (<=.f64 x 3715469692580659/1125899906842624))) (/.f64 6 (*.f64 x x)) (+.f64 1/2 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/24)) -1))) |
(if (<=.f64 x -3602879701896397/1125899906842624) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3715469692580659/1125899906842624) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 6 (*.f64 x x)))) |
(if (or (<=.f64 x -3602879701896397/1125899906842624) (not (<=.f64 x 3715469692580659/1125899906842624))) (/.f64 6 (*.f64 x x)) (+.f64 1/2 (*.f64 (*.f64 x x) -1/24))) |
(if (<=.f64 x -3884354678607053/1125899906842624) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 7/2) 1/2 (/.f64 6 (*.f64 x x)))) |
(if (or (<=.f64 x -3884354678607053/1125899906842624) (not (<=.f64 x 7/2))) (/.f64 6 (*.f64 x x)) 1/2) |
1/2 |
Compiled 256 to 180 computations (29.7% 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 245 to 160 computations (34.7% saved)
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