Time bar (total: 10.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 5 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 6 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 7 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 8 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 9 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 10 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 11 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 12 |
Compiled 10 to 7 computations (30% saved)
| 1.3s | 2052× | body | 2048 | valid |
| 473.0ms | 1156× | body | 1024 | valid |
| 393.0ms | 3405× | body | 256 | valid |
| 365.0ms | 1543× | body | 512 | valid |
| 55.0ms | 100× | body | 4096 | valid |
| 2× | egg-herbie |
| 416× | fma-def |
| 224× | associate-*r* |
| 212× | associate-+l- |
| 204× | associate-/r* |
| 182× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 18 | 23 |
| 2 | 29 | 23 |
| 3 | 43 | 23 |
| 4 | 77 | 23 |
| 5 | 130 | 23 |
| 6 | 197 | 23 |
| 7 | 347 | 23 |
| 8 | 698 | 23 |
| 9 | 1261 | 23 |
| 10 | 1950 | 23 |
| 11 | 2090 | 23 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
| 416× | fma-def |
| 224× | associate-*r* |
| 212× | associate-+l- |
| 204× | associate-/r* |
| 182× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 18 | 23 |
| 2 | 29 | 23 |
| 3 | 43 | 23 |
| 4 | 77 | 23 |
| 5 | 130 | 23 |
| 6 | 197 | 23 |
| 7 | 347 | 23 |
| 8 | 698 | 23 |
| 9 | 1261 | 23 |
| 10 | 1950 | 23 |
| 11 | 2090 | 23 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 9 to 6 computations (33.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 32.0b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 9 to 6 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.8b | (-.f64 1 (cos.f64 x)) |
| ✓ | 12.9b | (/.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)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 184 | 14 | 198 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 184 | 15 | 199 |
| Status | Error | Program |
|---|---|---|
| 31.5b | (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) | |
| 31.8b | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) | |
| 32.1b | (/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (cos.f64 x))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4)))) (*.f64 x x)) | |
| ▶ | 13.5b | (/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x)) |
| ▶ | 32.1b | (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
| ✓ | 32.0b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 13.4b | (/.f64 (*.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 x x)) | |
| ▶ | 13.2b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 31.4b | (-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) | |
| ▶ | 30.8b | (+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
| ▶ | 30.9b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 31.8b | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) | |
| 31.4b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) | |
| 32.1b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) | |
| 30.1b | 1/2 |
Compiled 369 to 260 computations (29.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| ✓ | 12.8b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
Compiled 33 to 18 computations (45.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| 0.0ms | x | @ | -inf | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| 1× | batch-egg-rewrite |
| 960× | unswap-sqr |
| 834× | swap-sqr |
| 410× | sqr-pow |
| 408× | pow-sqr |
| 382× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 54 |
| 1 | 239 | 54 |
| 2 | 3327 | 54 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| Outputs |
|---|
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(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 |
|---|---|---|
| ✓ | 0.5b | (*.f64 -1/24 (*.f64 x x)) |
Compiled 19 to 10 computations (47.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 -1/24 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 -1/24 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 -1/24 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1080× | add-sqr-sqrt |
| 1058× | *-un-lft-identity |
| 1006× | pow1 |
| 990× | add-cube-cbrt |
| 982× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 122 | 13 |
| 2 | 1411 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/24 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/576 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1470× | distribute-rgt-in |
| 1446× | distribute-lft-in |
| 1164× | log-prod |
| 760× | associate-*r* |
| 696× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 299 |
| 1 | 93 | 299 |
| 2 | 348 | 299 |
| 3 | 1913 | 299 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2) |
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3) |
(sqrt.f64 (*.f64 1/576 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(sqrt.f64 (*.f64 1/576 (pow.f64 x 4))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1 (-.f64 1 (cos.f64 x))) |
| ✓ | 0.1b | (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
| 1.8b | (-.f64 1 (cos.f64 x)) | |
| ✓ | 12.9b | (/.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 | @ | inf | (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1300× | associate-/l* |
| 1008× | *-commutative |
| 664× | associate-/l/ |
| 646× | associate-/r/ |
| 580× | swap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 51 |
| 1 | 245 | 51 |
| 2 | 3076 | 51 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) 1) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) 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(cos.f64 x)) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) 1) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) -1) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) 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3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))))))) |
| 1× | egg-herbie |
| 1004× | associate-+r+ |
| 772× | associate-*l* |
| 762× | associate-*r* |
| 552× | +-commutative |
| 540× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 478 | 7021 |
| 1 | 1365 | 6723 |
| 2 | 6121 | 6723 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(/.f64 2 (pow.f64 x 2)) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (*.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2)) |
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 x -2)) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (neg.f64 (*.f64 x x)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) 1) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) -1) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (+.f64 (cos.f64 x) -1))) -1) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 1)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) -1) 1) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) -1) -1) (-.f64 1 (cos.f64 x))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x))) 1)) |
(neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (neg.f64 (*.f64 x x))))) |
(neg.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2)) |
(log.f64 (exp.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(+.f64 1 (neg.f64 (cos.f64 x))) |
(+.f64 (neg.f64 (cos.f64 x)) 1) |
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (/.f64 (cos.f64 x) 1)) |
(-.f64 0 (-.f64 (cos.f64 x) 1)) |
(-.f64 (exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) 1) |
(-.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))) |
(-.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 -1 (+.f64 (cos.f64 x) -1)) |
(*.f64 (+.f64 (cos.f64 x) -1) -1) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (neg.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1))) (neg.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) -1) (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) -1) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) -1)) |
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) -1) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) -1)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) -1) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 1)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) -1) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1))) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) -1) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(neg.f64 (+.f64 (cos.f64 x) -1)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) -1))) |
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 -1 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) 1)) |
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1)) |
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cos.f64 x))) |
(+.f64 (*.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (cos.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(+.f64 (*.f64 (cos.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(+.f64 (*.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(+.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(+.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (cos.f64 x) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))) 1) |
(*.f64 1 (/.f64 -1 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 1) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))) |
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 -1 (/.f64 1 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) -1) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) -1) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) -1)) |
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (cos.f64 x)) -1)) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 -1 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 1) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) 1) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) -1) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 -1 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) 1) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) -1) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 1) |
(pow.f64 (-.f64 1 (cos.f64 x)) -1) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 2) |
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) 3) |
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3) 1/3) |
(neg.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) |
(log.f64 (exp.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))) |
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) |
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.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)) |
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(*.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 |
|---|---|---|
| ✓ | 0.2b | (*.f64 x (*.f64 x -1/24)) |
| ✓ | 0.4b | (*.f64 x -1/24) |
| ✓ | 11.2b | (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) |
Compiled 39 to 28 computations (28.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) |
| 0.0ms | x | @ | inf | (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) |
| 0.0ms | x | @ | 0 | (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) |
| 0.0ms | x | @ | -inf | (*.f64 x -1/24) |
| 0.0ms | x | @ | 0 | (*.f64 x -1/24) |
| 1× | batch-egg-rewrite |
| 1974× | add-sqr-sqrt |
| 1942× | *-un-lft-identity |
| 1822× | add-cube-cbrt |
| 1800× | add-cbrt-cube |
| 208× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 47 |
| 1 | 228 | 47 |
| 2 | 2521 | 47 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) |
(*.f64 x -1/24) |
(*.f64 x (*.f64 x -1/24)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2) (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 1/576)) (-.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x -1/24)) 3)) (+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x -1/24))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -1/24) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x -1/24) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -1/24) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x -1/24)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -1/24))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1/24)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/24))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/24))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/24)))))))) |
| 1× | egg-herbie |
| 1068× | unswap-sqr |
| 830× | associate--r+ |
| 788× | +-commutative |
| 734× | distribute-lft-in |
| 706× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 1559 |
| 1 | 277 | 1515 |
| 2 | 1386 | 1497 |
| 3 | 6297 | 1497 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 1/720 (pow.f64 x 4)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 1/720 (pow.f64 x 4)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24))) |
(+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x -1/24))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) 1) |
(*.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1) |
(*.f64 1 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(*.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(*.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2) (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 1/576)) (-.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x -1/24)) 3)) (+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24)))))) |
(pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 3) |
(pow.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 2)) |
(log.f64 (exp.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))) |
(cbrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(exp.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/24))) 1) |
(pow.f64 (*.f64 x -1/24) 1) |
(pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3) |
(pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x -1/24) 2)) |
(log.f64 (pow.f64 (exp.f64 x) -1/24)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/24)))) |
(cbrt.f64 (pow.f64 (*.f64 x -1/24) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x -1/24))) |
(exp.f64 (log.f64 (*.f64 x -1/24))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x -1/24)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x -1/24))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) 1) |
(pow.f64 (*.f64 x (*.f64 x -1/24)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/24))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576)) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/24))))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/24)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/24))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/24)))) |
| Outputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 1/720 (pow.f64 x 4)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 1/720 (pow.f64 x 4)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x -1/24))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) 1) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 1 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2)) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2) (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 1/576)) (-.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24)))) |
(/.f64 (-.f64 (*.f64 1/518400 (*.f64 (pow.f64 x 4) (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 1/576)) (-.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x)))) |
(/.f64 (fma.f64 1/518400 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 1/720 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/24))) |
(/.f64 (pow.f64 x 4) (/.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x 1/24))) (fma.f64 (pow.f64 x 4) 1/518400 -1/576))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x -1/24)) 3)) (+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24)))))) |
(/.f64 (+.f64 (*.f64 1/373248000 (pow.f64 (pow.f64 x 4) 3)) (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) (+.f64 (*.f64 1/518400 (*.f64 (pow.f64 x 4) (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 1/720 (*.f64 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))))) |
(/.f64 (fma.f64 1/373248000 (pow.f64 (pow.f64 x 4) 3) (*.f64 -1/13824 (pow.f64 (*.f64 x x) 3))) (fma.f64 1/518400 (pow.f64 x 8) (fma.f64 (pow.f64 x 4) 1/576 (*.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 (pow.f64 x 4) -1/720))))) |
(/.f64 (fma.f64 1/373248000 (pow.f64 (*.f64 x x) 6) (*.f64 -1/13824 (pow.f64 x 6))) (fma.f64 (pow.f64 x 4) 1/576 (fma.f64 1/720 (*.f64 (pow.f64 x 6) 1/24) (*.f64 1/518400 (pow.f64 x 8))))) |
(pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(pow.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 3) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(pow.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3) 1/3) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(sqrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 2)) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(log.f64 (exp.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(cbrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3)) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(expm1.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(exp.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 1)) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(log1p.f64 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/24))) 1) |
(*.f64 -1/24 x) |
(pow.f64 (*.f64 x -1/24) 1) |
(*.f64 -1/24 x) |
(pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2) |
(*.f64 -1/24 x) |
(pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3) |
(*.f64 -1/24 x) |
(pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3) |
(*.f64 -1/24 x) |
(sqrt.f64 (pow.f64 (*.f64 x -1/24) 2)) |
(*.f64 -1/24 x) |
(log.f64 (pow.f64 (exp.f64 x) -1/24)) |
(*.f64 -1/24 x) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/24)))) |
(*.f64 -1/24 x) |
(cbrt.f64 (pow.f64 (*.f64 x -1/24) 3)) |
(*.f64 -1/24 x) |
(expm1.f64 (log1p.f64 (*.f64 x -1/24))) |
(*.f64 -1/24 x) |
(exp.f64 (log.f64 (*.f64 x -1/24))) |
(*.f64 -1/24 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x -1/24)) 1)) |
(*.f64 -1/24 x) |
(log1p.f64 (expm1.f64 (*.f64 x -1/24))) |
(*.f64 -1/24 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(pow.f64 (*.f64 x (*.f64 x -1/24)) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2) |
(*.f64 -1/24 (*.f64 x x)) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/24))) 3) |
(*.f64 -1/24 (*.f64 x x)) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3) 1/3) |
(*.f64 -1/24 (*.f64 x x)) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576)) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24))) |
(*.f64 -1/24 (*.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/24))))) |
(*.f64 -1/24 (*.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3)) |
(*.f64 -1/24 (*.f64 x x)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) |
(*.f64 -1/24 (*.f64 x x)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/24)))) |
(*.f64 -1/24 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/24))) 1)) |
(*.f64 -1/24 (*.f64 x x)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/24)))) |
(*.f64 -1/24 (*.f64 x x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) |
| ✓ | 0.3b | (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) |
| ✓ | 0.3b | (+.f64 1 (cos.f64 x)) |
| ✓ | 12.8b | (/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x)) |
Compiled 45 to 19 computations (57.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x)) |
| 1.0ms | x | @ | -inf | (/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x)) |
| 1.0ms | x | @ | inf | (/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 1832× | associate-/r/ |
| 1492× | associate-/l/ |
| 604× | distribute-lft-in |
| 268× | add-sqr-sqrt |
| 262× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 106 |
| 1 | 260 | 62 |
| 2 | 3911 | 62 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x)) |
(+.f64 1 (cos.f64 x)) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> 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| 1× | egg-herbie |
| 1718× | associate-*r* |
| 1404× | associate-*l* |
| 1306× | associate-/l* |
| 1154× | *-commutative |
| 1098× | associate-*l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 787 | 12564 |
| 1 | 2467 | 12302 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) 1) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 2 x) |
(+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) |
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/15120 (pow.f64 x 5))))) |
(/.f64 (+.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) 1) (sin.f64 x)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 -1 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2)))) |
(*.f64 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 (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 (tan.f64 (/.f64 x 2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 1 (neg.f64 (*.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 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) 1) (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.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 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x x)) (*.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 x x)) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) (tan.f64 (/.f64 x 2)))) |
(*.f64 (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2))) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (/.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 x) 2))) |
(*.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 (tan.f64 (/.f64 x 2)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x)))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 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 (sqrt.f64 (sin.f64 x)) (/.f64 (*.f64 x x) (tan.f64 (/.f64 x 2)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (*.f64 x x) (tan.f64 (/.f64 x 2)))) (cbrt.f64 (sin.f64 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 (pow.f64 x -2) 1) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (tan.f64 (/.f64 x 2)))) (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2))))) (*.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2)) (*.f64 (/.f64 (sin.f64 x) 1) (cbrt.f64 (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 (pow.f64 x -2) (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 -1 (tan.f64 (/.f64 x 2)))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2))))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (tan.f64 (/.f64 x 2))))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 1) (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (+.f64 1 (cos.f64 x))) (sin.f64 x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) (/.f64 (sin.f64 x) (hypot.f64 1 (sqrt.f64 (cos.f64 x))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (-.f64 -1 (cos.f64 x))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x)))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (sin.f64 x)))) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) -1) (neg.f64 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (neg.f64 (-.f64 -1 (cos.f64 x)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (*.f64 (pow.f64 (sin.f64 x) 2) 1)) (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) 1)) (*.f64 (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x -2)) (-.f64 -1 (cos.f64 x))) (sin.f64 x)) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x -2)) -1) (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x -2)) (neg.f64 (-.f64 -1 (cos.f64 x)))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) 1) (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (+.f64 1 (cos.f64 x))) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) (/.f64 (sin.f64 x) (hypot.f64 1 (sqrt.f64 (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 -1 (cos.f64 x))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x)))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (sin.f64 x)))) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) -1) (neg.f64 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (neg.f64 (-.f64 -1 (cos.f64 x)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (*.f64 (pow.f64 (sin.f64 x) 2) 1)) (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) 1)) (*.f64 (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (sin.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 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(-.f64 (+.f64 1 (cos.f64 x)) 0) |
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (cos.f64 x)))) 1) |
(-.f64 (+.f64 2 (cos.f64 x)) 1) |
(*.f64 1 (+.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 1 (cos.f64 x)) 1) |
(*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) |
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(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2))))) |
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(*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2) (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 -1 (cos.f64 x)) (/.f64 1 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) |
(*.f64 -1 (/.f64 -1 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (-.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2))) (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (hypot.f64 1 (sqrt.f64 (cos.f64 x))))) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (sin.f64 x)) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (sin.f64 x)) (/.f64 1 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) 1) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (tan.f64 (/.f64 x 2))) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (neg.f64 (sin.f64 x))) (/.f64 -1 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (/.f64 (sin.f64 x) 1)) (/.f64 1 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (*.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 (tan.f64 (/.f64 x 2))))) (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2))) (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) -1) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (/.f64 -1 (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.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 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (sin.f64 x))) (-.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (+.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (sin.f64 x))) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) 3))) (+.f64 1 (+.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (pow.f64 (cos.f64 x) 2)) (cos.f64 x)))) |
(pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 1) |
(pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 3) 1/3) |
(pow.f64 (tan.f64 (/.f64 x 2)) -1) |
(neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 2)) |
(log.f64 (exp.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(exp.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.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 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 2 (*.f64 -1/2 (*.f64 x x))) |
(+.f64 2 (*.f64 x (*.f64 x -1/2))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/24))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/720)))) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 2 x) |
(+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))) |
(fma.f64 -1/6 x (/.f64 2 x)) |
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) |
(fma.f64 -1/360 (pow.f64 x 3) (fma.f64 -1/6 x (/.f64 2 x))) |
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/15120 (pow.f64 x 5))))) |
(fma.f64 -1/360 (pow.f64 x 3) (+.f64 (fma.f64 -1/6 x (/.f64 2 x)) (*.f64 -1/15120 (pow.f64 x 5)))) |
(+.f64 (fma.f64 -1/360 (pow.f64 x 3) (fma.f64 -1/6 x (/.f64 2 x))) (*.f64 -1/15120 (pow.f64 x 5))) |
(/.f64 (+.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 -1 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x)))))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2)))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (cos.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (*.f64 (cbrt.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 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) |
(*.f64 (tan.f64 (/.f64 x 2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2)))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) |
(*.f64 (tan.f64 (/.f64 x 2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (-.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 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 1 (neg.f64 (*.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 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) 1) (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2)))) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) |
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(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (tan.f64 (/.f64 x 2))) (/.f64 1 (sin.f64 x))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (neg.f64 (sin.f64 x))) (/.f64 -1 (tan.f64 (/.f64 x 2)))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (/.f64 (sin.f64 x) 1)) (/.f64 1 (tan.f64 (/.f64 x 2)))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (*.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 (tan.f64 (/.f64 x 2))))) (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2))))) |
(pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2))) (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) -1) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) -1)) |
(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) -1)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (/.f64 -1 (tan.f64 (/.f64 x 2))))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (sin.f64 x))) (-.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (+.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) |
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (-.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (/.f64 (-.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (+.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (sin.f64 x))) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) 3))) (+.f64 1 (+.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (pow.f64 (cos.f64 x) 2)) (cos.f64 x)))) |
(*.f64 (+.f64 1 (+.f64 (cos.f64 x) (-.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (pow.f64 (cos.f64 x) 2)))) (/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) 3)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (/.f64 (+.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (-.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (pow.f64 (cos.f64 x) 2))))) |
(pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 1) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 3) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(pow.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 3) 1/3) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(pow.f64 (tan.f64 (/.f64 x 2)) -1) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (+.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 2)) |
(log.f64 (exp.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(cbrt.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 3)) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(exp.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2)))) 1)) |
(exp.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
Compiled 23084 to 13241 computations (42.6% saved)
17 alts after pruning (13 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1142 | 7 | 1149 |
| Fresh | 3 | 6 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 1147 | 17 | 1164 |
| Status | Error | Program |
|---|---|---|
| 31.5b | (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) | |
| 31.8b | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) | |
| 44.1b | (/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) | |
| ✓ | 32.1b | (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
| ▶ | 27.9b | (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
| ✓ | 32.0b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| ✓ | 13.2b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 31.9b | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| ▶ | 30.9b | (+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
| ✓ | 30.9b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| ▶ | 31.8b | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| 31.4b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) | |
| ▶ | 0.1b | (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) |
| 0.4b | (*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) | |
| ▶ | 32.1b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 31.4b | (neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x))) | |
| 30.1b | 1/2 |
Compiled 320 to 228 computations (28.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) |
| ✓ | 0.1b | (/.f64 (sin.f64 x) x) |
| ✓ | 0.1b | (/.f64 (tan.f64 (/.f64 x 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 2)) x) |
| 0.0ms | x | @ | -inf | (/.f64 (sin.f64 x) x) |
| 0.0ms | x | @ | inf | (/.f64 (tan.f64 (/.f64 x 2)) x) |
| 0.0ms | x | @ | 0 | (/.f64 (sin.f64 x) x) |
| 0.0ms | x | @ | inf | (/.f64 (sin.f64 x) x) |
| 1× | batch-egg-rewrite |
| 1878× | associate-/l* |
| 1046× | unswap-sqr |
| 834× | swap-sqr |
| 436× | associate-/l/ |
| 344× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 61 |
| 1 | 242 | 61 |
| 2 | 3268 | 61 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x 2)) x) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 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 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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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(#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (neg.f64 (sin.f64 x))) (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 |
| 1066× | associate-/r* |
| 1040× | associate-/l* |
| 988× | associate-*r* |
| 924× | associate-/r/ |
| 866× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 667 | 9708 |
| 1 | 1818 | 9492 |
| 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 (*.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (sin.f64 x)))) |
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(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x (neg.f64 x))) |
(/.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 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x 1/2)))) |
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(/.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)))) |
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(/.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 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sin.f64 x) x))) (cbrt.f64 x)) |
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)) (*.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) 1) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x))) |
(/.f64 -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 (neg.f64 x) (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 (/.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))) (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 (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 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))) (*.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 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (neg.f64 (sin.f64 x))) (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 (*.f64 -1/6 x) x))) |
(+.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 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(-.f64 (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))) |
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(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) 1/3) |
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(neg.f64 (*.f64 (sin.f64 x) (/.f64 1 (neg.f64 x)))) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x 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 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x 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 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x 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 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (sin.f64 x))) (/.f64 (tan.f64 (*.f64 1/2 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) (tan.f64 (*.f64 1/2 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 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x 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 (/.f64 1 (sqrt.f64 x)) (/.f64 x (sin.f64 x))) (/.f64 (tan.f64 (*.f64 1/2 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) (sin.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 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (sin.f64 x))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x))) |
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2) (*.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) |
(/.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 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.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 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (sin.f64 x))) (/.f64 (tan.f64 (*.f64 1/2 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) (tan.f64 (*.f64 1/2 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 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.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 (/.f64 1 (sqrt.f64 x)) (/.f64 x (sin.f64 x))) (/.f64 (tan.f64 (*.f64 1/2 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) (sin.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 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) x) (tan.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 x x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.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 1/2 x)) x) (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 x (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x (*.f64 (cos.f64 (*.f64 x 1/2)) (neg.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) 2) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) (*.f64 x x)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 3) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3) 1/3) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 (sin.f64 x) x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 x (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(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))) |
(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 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 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))) |
(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))) |
(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))) |
(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))) |
(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))) |
(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))) |
(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))) |
(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))) |
(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))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.5b | (*.f64 -1/24 (*.f64 x x)) | |
| ✓ | 1.5b | (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
Compiled 40 to 25 computations (37.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
| 1× | batch-egg-rewrite |
| 1858× | add-sqr-sqrt |
| 1830× | *-un-lft-identity |
| 1726× | add-cube-cbrt |
| 1716× | add-cbrt-cube |
| 190× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 198 | 13 |
| 2 | 2638 | 13 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 -1/24 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/24 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 -1/24 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/24 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/24 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 -1/24 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) -1/24)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/24 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/24 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/24 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/24 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/24 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/24 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1) (-.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (fma.f64 -1/24 (*.f64 x x) -1))) (-.f64 1 (fma.f64 -1/24 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (fma.f64 -1/24 (*.f64 x x) -1)) (fma.f64 -1/24 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))))))) (#(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 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824))))) (#(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 exp.f64 (*.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/24 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1)) -1))))) |
| 1× | egg-herbie |
| 1324× | associate-/l* |
| 948× | associate-/r* |
| 896× | associate-+r- |
| 882× | associate-*r* |
| 874× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 1656 |
| 1 | 300 | 1550 |
| 2 | 931 | 1538 |
| 3 | 3989 | 1538 |
| 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 1 (fma.f64 -1/24 (*.f64 x x) -1)) |
(+.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1)) |
(+.f64 (*.f64 -1/24 (*.f64 x x)) 0) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1) |
(+.f64 -1 (fma.f64 -1/24 (*.f64 x x) 1)) |
(*.f64 1 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 (*.f64 x x) -1/24) |
(*.f64 (*.f64 -1/24 (*.f64 x x)) 1) |
(*.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) -1/24)) |
(*.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))) |
(*.f64 (*.f64 -1/24 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 -1/24 x) 1) x) |
(*.f64 (*.f64 (*.f64 -1/24 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 -1/24 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(*.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) 1)) |
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1) (-.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1)))) |
(/.f64 (-.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (fma.f64 -1/24 (*.f64 x x) -1))) (-.f64 1 (fma.f64 -1/24 (*.f64 x x) -1))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (fma.f64 -1/24 (*.f64 x x) -1)) (fma.f64 -1/24 (*.f64 x x) -1)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))) |
(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 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576)) |
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/24)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (*.f64 x x))))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))) |
(fma.f64 1 (fma.f64 -1/24 (*.f64 x x) 1) -1) |
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1)) -1) |
| 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 1 (fma.f64 -1/24 (*.f64 x x) -1)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(+.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(+.f64 (*.f64 -1/24 (*.f64 x x)) 0) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(+.f64 -1 (fma.f64 -1/24 (*.f64 x x) 1)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 1 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 (*.f64 x x) -1/24) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 (*.f64 -1/24 (*.f64 x x)) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) -1/24)) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -1/24 (cbrt.f64 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 -1/24 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 -1/24 x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 -1/24 x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576))) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (fma.f64 -1/24 (*.f64 x x) 2)) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)) (fma.f64 x (*.f64 -1/24 x) 2)) |
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 3)) (+.f64 2 (fma.f64 -1/24 (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)))) |
(*.f64 (*.f64 -1/24 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -1/24 (cbrt.f64 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 -1/24 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (*.f64 (*.f64 -1/24 x) 1) x) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 (*.f64 (*.f64 -1/24 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 (*.f64 (*.f64 -1/24 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(*.f64 (*.f64 -1/24 x) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 -1/24 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x (cbrt.f64 x)))) |
(*.f64 -1/24 (*.f64 x (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))) |
(*.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) 1)) |
(*.f64 (+.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24)))) (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) -1)) |
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) -1) |
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (fma.f64 -1/24 (*.f64 x x) 2)) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)) (fma.f64 x (*.f64 -1/24 x) 2)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 3)) (+.f64 2 (fma.f64 -1/24 (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (fma.f64 -1/24 (*.f64 x x) 2)) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)) (fma.f64 x (*.f64 -1/24 x) 2)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1) (-.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1)) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (fma.f64 -1/24 (*.f64 x x) 2)) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)) (fma.f64 x (*.f64 -1/24 x) 2)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 3)) (+.f64 2 (fma.f64 -1/24 (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 3)) (+.f64 2 (fma.f64 -1/24 (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)))) |
(/.f64 (-.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (fma.f64 -1/24 (*.f64 x x) -1))) (-.f64 1 (fma.f64 -1/24 (*.f64 x x) -1))) |
(/.f64 (fma.f64 (fma.f64 x (*.f64 -1/24 x) -1) (fma.f64 x (*.f64 x 1/24) 1) 1) (+.f64 (*.f64 x (*.f64 x 1/24)) 2)) |
(/.f64 (fma.f64 (fma.f64 x (*.f64 -1/24 x) -1) (fma.f64 x (*.f64 x 1/24) 1) 1) (+.f64 2 (*.f64 x (*.f64 x 1/24)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (fma.f64 -1/24 (*.f64 x x) -1)) (fma.f64 -1/24 (*.f64 x x) -1)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) -1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (-.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) -1) 3)) (fma.f64 (fma.f64 x (*.f64 -1/24 x) -1) (+.f64 (*.f64 x (*.f64 -1/24 x)) -2) 1)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (fma.f64 -1/24 (*.f64 x x) 2)) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)) (fma.f64 x (*.f64 -1/24 x) 2)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 3)) (+.f64 2 (fma.f64 -1/24 (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)))) |
(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 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) |
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/13824)) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576)) |
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/24)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (*.f64 x x))))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) |
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/13824)) |
(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)) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))) 1)) |
(*.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)) |
(fma.f64 1 (fma.f64 -1/24 (*.f64 x x) 1) -1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) -1) |
(*.f64 (+.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24)))) (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) -1)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1)) -1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
| ✓ | 0.4b | (/.f64 2 (*.f64 x x)) |
| ✓ | 12.8b | (/.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 | |
|---|---|---|---|---|
| 0.0ms | 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 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(#(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))))))) 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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) |
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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))) |
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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 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)) |
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(*.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)))) |
(*.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))) |
(*.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))) |
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(*.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) |
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(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) |
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(cbrt.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) |
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(*.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 (pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1) (pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) -1)) |
(*.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (-.f64 1/46656 (*.f64 64 (*.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 x -2) 3))))) (+.f64 1/216 (*.f64 -8 (pow.f64 (pow.f64 x -2) 3)))) |
(*.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (+.f64 1/10077696 (pow.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) 3))) (+.f64 1/46656 (*.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) (-.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) 1/216)))) |
(*.f64 (/.f64 1 (+.f64 -1/36 (neg.f64 (/.f64 -4 (pow.f64 x 4))))) (+.f64 -1/6 (neg.f64 (*.f64 (pow.f64 x -2) -2)))) |
(*.f64 (/.f64 1 (+.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 -1 (+.f64 -1/36 (neg.f64 (/.f64 -4 (pow.f64 x 4))))) (+.f64 1/6 (*.f64 (pow.f64 x -2) -2))) |
(*.f64 (/.f64 -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)))) |
(*.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)) |
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(*.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))) (/.f64 1 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) |
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(*.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 -2 (pow.f64 x -2))))) |
(*.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 (fma.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 1/216 (*.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 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (sqrt.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216))) (sqrt.f64 (+.f64 1/36 (fma.f64 (pow.f64 x -2) -1/3 (/.f64 4 (pow.f64 x 4)))))) |
(*.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 1/36 (/.f64 -4 (pow.f64 x 4))))) (cbrt.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))) |
(*.f64 (/.f64 (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 (fma.f64 -2 (pow.f64 x -2) 1/6))) |
(*.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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 -1 (*.f64 x x)) |
| ✓ | 1.8b | (+.f64 -1 (cos.f64 x)) |
| ✓ | 13.4b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
Compiled 27 to 13 computations (51.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 2.0ms | x | @ | inf | (/.f64 -1 (*.f64 x x)) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 -1 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1048× | *-commutative |
| 902× | unswap-sqr |
| 878× | associate-/r* |
| 580× | swap-sqr |
| 498× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 53 |
| 1 | 221 | 49 |
| 2 | 3002 | 49 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(+.f64 -1 (cos.f64 x)) |
(/.f64 -1 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (+.f64 -1 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x -2)) (/.f64 1 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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| 1× | egg-herbie |
| 1136× | associate-/l* |
| 858× | associate-*r* |
| 796× | associate-*l* |
| 738× | associate-/r* |
| 634× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 583 | 9542 |
| 1 | 1712 | 8576 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8))))) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
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(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) x) |
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(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (+.f64 1 (neg.f64 (cos.f64 x))) -1) |
(*.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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) (neg.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x))))) (neg.f64 (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))))) |
(*.f64 (*.f64 -1 (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))))) |
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 x)) 1)) |
(*.f64 (-.f64 (sqrt.f64 (cos.f64 x)) 1) (+.f64 1 (sqrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 1 (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (*.f64 (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 (cos.f64 x) (+.f64 -1 (cos.f64 x))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (-.f64 (cos.f64 x) -1) (-.f64 (cos.f64 x) -1))))) (-.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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (-.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 1)))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x))))) |
(*.f64 (neg.f64 (*.f64 -1 (sqrt.f64 (+.f64 -1 (cos.f64 x))))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (neg.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x)))) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x)))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))))) (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x)))))) |
(/.f64 1 (/.f64 1 (+.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 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (-.f64 -1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (-.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1)) |
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3))) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) 1) (-.f64 (cos.f64 x) -1)) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3))) (*.f64 (-.f64 -1 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (-.f64 (pow.f64 (cos.f64 x) 3) -1))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (-.f64 -1 (cos.f64 x)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (-.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (-.f64 -1 (cos.f64 x)))) (sqrt.f64 (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (-.f64 -1 (cos.f64 x))) (cbrt.f64 (-.f64 -1 (cos.f64 x))))) (cbrt.f64 (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (cos.f64 x))) |
(/.f64 (neg.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 (+.f64 -1 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) 1/3) |
(neg.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) 1))) |
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(sqrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (+.f64 -1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3)) |
(expm1.f64 (log.f64 (+.f64 0 (cos.f64 x)))) |
(exp.f64 (log.f64 (+.f64 -1 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (+.f64 -1 (cos.f64 x)))) |
(fma.f64 1 (cos.f64 x) -1) |
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) -1) |
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))) 1) |
(*.f64 -1 (pow.f64 x -2)) |
(*.f64 (neg.f64 (pow.f64 x -2)) 1) |
(*.f64 1 (neg.f64 (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x)) |
(*.f64 (/.f64 (sqrt.f64 -1) x) (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (neg.f64 (*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))) |
(*.f64 (/.f64 -1 x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) -1) |
(*.f64 (sqrt.f64 (pow.f64 x -2)) (neg.f64 (sqrt.f64 (pow.f64 x -2)))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2))) (neg.f64 (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(*.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (neg.f64 (/.f64 (sqrt.f64 -1) x))) |
(*.f64 (/.f64 1 x) (/.f64 -1 x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x -2))) (sqrt.f64 (pow.f64 x -2))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (/.f64 (sqrt.f64 -1) x)) |
(*.f64 (neg.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x)))) |
(pow.f64 (neg.f64 (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) 1/3) |
(pow.f64 (*.f64 x (neg.f64 x)) -1) |
(neg.f64 (pow.f64 x -2)) |
(sqrt.f64 (/.f64 1 (pow.f64 x 4))) |
(log.f64 (exp.f64 (neg.f64 (pow.f64 x -2)))) |
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3)) |
(expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))) |
(exp.f64 (log.f64 (neg.f64 (pow.f64 x -2)))) |
(log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 (pow.f64 x 4) 1/24 (*.f64 x (*.f64 x -1/2))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6)))) |
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/720))) |
(fma.f64 (pow.f64 x 4) 1/24 (fma.f64 (pow.f64 x 6) -1/720 (*.f64 x (*.f64 x -1/2)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8))))) |
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/720 (pow.f64 x 6) (*.f64 1/40320 (pow.f64 x 8))))) |
(fma.f64 (pow.f64 x 4) 1/24 (fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 6) -1/720 (*.f64 1/40320 (pow.f64 x 8))))) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
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(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1)) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (-.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (-.f64 -1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (-.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1)) |
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3))) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 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 (pow.f64 (cos.f64 x) 2) 1) (-.f64 (cos.f64 x) -1)) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1)) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (*.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 (pow.f64 (cos.f64 x) 6)) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) (-.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3))) (*.f64 (-.f64 -1 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (*.f64 (-.f64 -1 (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (-.f64 (pow.f64 (cos.f64 x) 3) -1))))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (pow.f64 (cos.f64 x) 3) 1))))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (-.f64 -1 (cos.f64 x)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (*.f64 (-.f64 -1 (cos.f64 x)) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (pow.f64 (cos.f64 x) 4) 1)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (-.f64 -1 (cos.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (-.f64 -1 (cos.f64 x)))) (sqrt.f64 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (-.f64 -1 (cos.f64 x))) (cbrt.f64 (-.f64 -1 (cos.f64 x))))) (cbrt.f64 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (neg.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) |
(pow.f64 (+.f64 -1 (cos.f64 x)) 1) |
(+.f64 -1 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) 2) |
(+.f64 -1 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 3) |
(+.f64 -1 (cos.f64 x)) |
(pow.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) 1/3) |
(+.f64 -1 (cos.f64 x)) |
(neg.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) |
(+.f64 -1 (cos.f64 x)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) 1))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1)) |
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 -1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 -1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(sqrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 2)) |
(fabs.f64 (+.f64 -1 (cos.f64 x))) |
(log.f64 (exp.f64 (+.f64 -1 (cos.f64 x)))) |
(+.f64 -1 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (cos.f64 x))))) |
(+.f64 -1 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3)) |
(+.f64 -1 (cos.f64 x)) |
(expm1.f64 (log.f64 (+.f64 0 (cos.f64 x)))) |
(+.f64 -1 (cos.f64 x)) |
(exp.f64 (log.f64 (+.f64 -1 (cos.f64 x)))) |
(+.f64 -1 (cos.f64 x)) |
(log1p.f64 (expm1.f64 (+.f64 -1 (cos.f64 x)))) |
(+.f64 -1 (cos.f64 x)) |
(fma.f64 1 (cos.f64 x) -1) |
(+.f64 -1 (cos.f64 x)) |
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) -1) |
(+.f64 -1 (cos.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) -1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))) 1) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 -1 (pow.f64 x -2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (neg.f64 (pow.f64 x -2)) 1) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 1 (neg.f64 (pow.f64 x -2))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x)) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (/.f64 (sqrt.f64 -1) x) (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (neg.f64 (*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (/.f64 -1 x) (/.f64 1 x)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) -1) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (sqrt.f64 (pow.f64 x -2)) (neg.f64 (sqrt.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2))) (neg.f64 (cbrt.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (neg.f64 (/.f64 (sqrt.f64 -1) x))) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (/.f64 1 x) (/.f64 -1 x)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x -2))) (sqrt.f64 (pow.f64 x -2))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x -2))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (/.f64 (sqrt.f64 -1) x)) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (neg.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (cbrt.f64 (/.f64 (sqrt.f64 -1) x)))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (cbrt.f64 (/.f64 (sqrt.f64 -1) x)))) |
(pow.f64 (neg.f64 (pow.f64 x -2)) 1) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 3) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) 1/3) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(pow.f64 (*.f64 x (neg.f64 x)) -1) |
(/.f64 1 (*.f64 x (neg.f64 x))) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (*.f64 x x)) |
(sqrt.f64 (/.f64 1 (pow.f64 x 4))) |
(log.f64 (exp.f64 (neg.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2))))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(exp.f64 (log.f64 (neg.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.8b | (-.f64 1 (cos.f64 x)) | |
| ✓ | 13.4b | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
Compiled 21 to 13 computations (38.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | inf | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1984× | add-sqr-sqrt |
| 1956× | *-un-lft-identity |
| 1826× | add-cube-cbrt |
| 1806× | add-cbrt-cube |
| 196× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 207 | 23 |
| 2 | 2475 | 23 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))))))) |
| 1× | egg-herbie |
| 1018× | associate-*r/ |
| 886× | associate-*r* |
| 822× | associate-*l/ |
| 790× | associate-*l* |
| 682× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 847 |
| 1 | 192 | 843 |
| 2 | 604 | 825 |
| 3 | 3379 | 825 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) 1/2)) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 -1/24 (*.f64 x x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (pow.f64 x -2) (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))) (sin.f64 x)) |
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x) 1))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (pow.f64 x -2) (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))) (sin.f64 x)) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x) 1))) |
(pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
Compiled 22224 to 13900 computations (37.5% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1164 | 9 | 1173 |
| Fresh | 4 | 4 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 5 | 8 |
| Total | 1172 | 18 | 1190 |
| Status | Error | Program |
|---|---|---|
| 31.8b | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) | |
| 31.4b | (/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) | |
| ▶ | 0.1b | (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
| 46.2b | (/.f64 (/.f64 6 x) x) | |
| 31.4b | (/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) | |
| ▶ | 47.1b | (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
| ✓ | 32.0b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| ▶ | 31.4b | (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
| ✓ | 13.2b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| ▶ | 46.2b | (/.f64 6 (*.f64 x x)) |
| 32.2b | (/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))) | |
| 31.9b | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| ✓ | 30.9b | (+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
| ✓ | 30.9b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| ▶ | 31.4b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| ✓ | 0.1b | (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) |
| 31.8b | (*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (+.f64 -1 (cos.f64 x))) | |
| 30.1b | 1/2 |
Compiled 305 to 214 computations (29.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
| ✓ | 0.1b | (/.f64 x (sin.f64 x)) |
| ✓ | 0.1b | (/.f64 (tan.f64 (*.f64 x 1/2)) x) |
Compiled 33 to 18 computations (45.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 x (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 x (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 x (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (tan.f64 (*.f64 x 1/2)) x) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 1320× | associate-/r/ |
| 1268× | associate-/l/ |
| 924× | swap-sqr |
| 482× | distribute-lft-neg-in |
| 428× | distribute-rgt-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 61 |
| 1 | 240 | 61 |
| 2 | 3405 | 61 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (tan.f64 (*.f64 x 1/2)) x) |
(/.f64 x (sin.f64 x)) |
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (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 (tan.f64 (*.f64 x 1/2)) (neg.f64 (/.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 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (neg.f64 (neg.f64 (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)) 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| 1× | egg-herbie |
| 1166× | times-frac |
| 992× | associate-*l* |
| 874× | associate-*r* |
| 826× | associate-/l* |
| 688× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 487 | 6096 |
| 1 | 1322 | 5994 |
| 2 | 7362 | 5994 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/240 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (+.f64 (*.f64 17/40320 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4))))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6))))) |
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 (tan.f64 (*.f64 x 1/2)) (neg.f64 (/.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 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (neg.f64 (neg.f64 (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 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) (neg.f64 (neg.f64 (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))) |
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(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x 1)) (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 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) -1) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) x) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) x)) 1) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) x)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1) |
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 3) 1/3) |
(pow.f64 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) -1) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 (neg.f64 x) (sin.f64 x))))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 (sin.f64 x) x))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 (neg.f64 x) (sin.f64 x)))) 1)) |
(neg.f64 (*.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 (neg.f64 x) (sin.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)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) (sin.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) (pow.f64 (/.f64 x (sin.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
| Outputs |
|---|
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 (*.f64 1/24 x) x))) |
(+.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 (*.f64 1/6 (pow.f64 x 2)) 1) |
(fma.f64 1/6 (*.f64 x x) 1) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 (pow.f64 x 4) 7/360 (fma.f64 1/6 (*.f64 x x) 1)) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6))))) |
(fma.f64 7/360 (pow.f64 x 4) (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 (pow.f64 x 6) 31/15120))) |
(fma.f64 (pow.f64 x 4) 7/360 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) 31/15120 1))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/720))) |
(+.f64 1/2 (fma.f64 (pow.f64 x 4) 1/720 (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/720)))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 (pow.f64 x 4) 1/720 (*.f64 (pow.f64 x 6) -1/40320))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(-.f64 (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 (tan.f64 (*.f64 x 1/2)) (neg.f64 (/.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 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (neg.f64 (neg.f64 (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 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) (neg.f64 (neg.f64 (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 x)) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))) (neg.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))) (neg.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (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)) |
(*.f64 -1 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (neg.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)) (neg.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (/.f64 -1 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x))) |
(*.f64 (/.f64 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)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) |
(*.f64 (/.f64 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 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3) |
(/.f64 (tan.f64 (*.f64 1/2 x)) x) |
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) 1/3) |
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(neg.f64 (*.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 (neg.f64 x) (sin.f64 x)))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 x (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) 2)) |
(fabs.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) (sin.f64 x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 3)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) (pow.f64 (/.f64 x (sin.f64 x)) 3))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 1)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (/.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 |
|---|---|---|
| ✓ | 0.0b | (-.f64 6 (/.f64 72 (*.f64 x x))) |
| ✓ | 0.4b | (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
| ✓ | 0.4b | (/.f64 72 (*.f64 x x)) |
Compiled 30 to 15 computations (50% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 72 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 72 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (-.f64 6 (/.f64 72 (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 1564× | associate-/l* |
| 968× | *-commutative |
| 734× | associate-/l/ |
| 572× | swap-sqr |
| 412× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 63 |
| 1 | 211 | 63 |
| 2 | 3018 | 63 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 72 (*.f64 x x)) |
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
(-.f64 6 (/.f64 72 (*.f64 x x))) |
| Outputs |
|---|
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(/.f64 72 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)))))))) |
| 1× | egg-herbie |
| 1144× | distribute-lft-neg-in |
| 666× | associate-*r* |
| 604× | associate-*l* |
| 566× | associate-+r+ |
| 520× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 395 | 6665 |
| 1 | 1095 | 5899 |
| 2 | 5811 | 5891 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (pow.f64 x 2)) |
(/.f64 -72 (pow.f64 x 4)) |
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.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 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.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 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(/.f64 -72 (pow.f64 x 2)) |
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2)))) |
6 |
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2)))) |
6 |
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 72 x) x))) 1) |
(*.f64 72 (pow.f64 x -2)) |
(*.f64 72 (neg.f64 (neg.f64 (pow.f64 x -2)))) |
(*.f64 (/.f64 (/.f64 72 x) x) 1) |
(*.f64 1 (/.f64 (/.f64 72 x) x)) |
(*.f64 (/.f64 (sqrt.f64 72) x) (/.f64 (sqrt.f64 72) x)) |
(*.f64 (/.f64 (sqrt.f64 72) x) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 72)) x))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 72 x) x)) (cbrt.f64 (/.f64 5184 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 5184 (pow.f64 x 4))) (cbrt.f64 (/.f64 (/.f64 72 x) x))) |
(*.f64 (cbrt.f64 (/.f64 5184 (pow.f64 x 4))) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 72 x) x))))) |
(*.f64 (/.f64 72 x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) 72) |
(*.f64 -72 (neg.f64 (pow.f64 x -2))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) -72)) (neg.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) -72)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -72)) (cbrt.f64 (*.f64 (pow.f64 x -2) -72))) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -72)))) |
(*.f64 (/.f64 1 x) (/.f64 72 x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 72 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 -1 (*.f64 (pow.f64 x -2) -72)) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 72)) x) (/.f64 (neg.f64 (sqrt.f64 72)) x)) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 5184 (pow.f64 x 4)))) (neg.f64 (cbrt.f64 (/.f64 (/.f64 72 x) x)))) |
(*.f64 (neg.f64 (pow.f64 x -2)) -72) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) -72))) (sqrt.f64 (*.f64 (pow.f64 x -2) -72))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -72)) (cbrt.f64 (*.f64 (pow.f64 x -2) -72)))) (cbrt.f64 (*.f64 (pow.f64 x -2) -72))) |
(*.f64 (neg.f64 (/.f64 (neg.f64 (sqrt.f64 72)) x)) (/.f64 (sqrt.f64 72) x)) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 5184 (pow.f64 x 4))))) (cbrt.f64 (/.f64 (/.f64 72 x) x))) |
(pow.f64 (/.f64 (/.f64 72 x) x) 1) |
(pow.f64 (/.f64 (sqrt.f64 72) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 72 x) x)) 3) |
(pow.f64 (*.f64 (*.f64 x x) 1/72) -1) |
(pow.f64 (pow.f64 (/.f64 (/.f64 72 x) x) 3) 1/3) |
(neg.f64 (*.f64 (pow.f64 x -2) -72)) |
(neg.f64 (/.f64 (/.f64 72 x) (neg.f64 x))) |
(sqrt.f64 (/.f64 5184 (pow.f64 x 4))) |
(log.f64 (exp.f64 (/.f64 (/.f64 72 x) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 72 x) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 72 x) x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 72 x) x))) |
(exp.f64 (log.f64 (/.f64 (/.f64 72 x) x))) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 72 x) x))) |
(+.f64 (/.f64 (/.f64 6 x) x) (/.f64 -72 (pow.f64 x 4))) |
(+.f64 (/.f64 (/.f64 6 x) x) (*.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) -72))) |
(+.f64 (/.f64 (/.f64 6 x) x) (*.f64 (/.f64 -72 (pow.f64 x 4)) 1)) |
(+.f64 (/.f64 -72 (pow.f64 x 4)) (/.f64 (/.f64 6 x) x)) |
(+.f64 (*.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) -72)) (/.f64 (/.f64 6 x) x)) |
(-.f64 (/.f64 (/.f64 6 x) x) (/.f64 72 (pow.f64 x 4))) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 6 x) x) (/.f64 72 (pow.f64 x 4))))) 1) |
(*.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)) (pow.f64 x -2)) |
(*.f64 (-.f64 (/.f64 (/.f64 6 x) x) (/.f64 72 (pow.f64 x 4))) 1) |
(*.f64 1 (-.f64 (/.f64 (/.f64 6 x) x) (/.f64 72 (pow.f64 x 4)))) |
(*.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) (*.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) x) (/.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) x)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) 2) (*.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (-.f64 (/.f64 (/.f64 6 x) x) (/.f64 72 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (/.f64 6 x) x) (/.f64 72 (pow.f64 x 4)))) 2)) |
(*.f64 (cbrt.f64 (-.f64 (/.f64 (/.f64 6 x) x) (/.f64 72 (pow.f64 x 4)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (/.f64 6 x) x) (/.f64 72 (pow.f64 x 4)))) 2) (cbrt.f64 (-.f64 (/.f64 (/.f64 6 x) x) (/.f64 72 (pow.f64 x 4))))) |
(*.f64 (/.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (-.f64 6 (/.f64 (/.f64 72 x) x))) |
(*.f64 (+.f64 (/.f64 (/.f64 72 x) x) -6) (neg.f64 (pow.f64 x -2))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) 2)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (neg.f64 (pow.f64 x -2)) (+.f64 (/.f64 (/.f64 72 x) x) -6)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) 1) (/.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) (*.f64 x x)) (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) (*.f64 x x)) (/.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) 1)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) 2) x) (/.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) x)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) 2) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) (*.f64 x x))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (-.f64 (/.f64 (/.f64 6 x) x) (/.f64 72 (pow.f64 x 4))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) 2))) (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 36 (/.f64 -5184 (pow.f64 x 4))) (pow.f64 x -2)) (+.f64 36 (/.f64 -5184 (pow.f64 x 4)))) (-.f64 6 (/.f64 (/.f64 72 x) x))) |
(*.f64 (/.f64 (*.f64 (+.f64 36 (/.f64 -5184 (pow.f64 x 4))) (pow.f64 x -2)) (+.f64 216 (pow.f64 (/.f64 (/.f64 72 x) x) 3))) (+.f64 36 (+.f64 (/.f64 5184 (pow.f64 x 4)) (*.f64 -432 (pow.f64 x -2))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 216 (pow.f64 (/.f64 (/.f64 72 x) x) 3))) (-.f64 1296 (*.f64 (/.f64 5184 (pow.f64 x 4)) (*.f64 (+.f64 (/.f64 (/.f64 72 x) x) 6) (+.f64 (/.f64 (/.f64 72 x) x) 6))))) (-.f64 (+.f64 36 (/.f64 -5184 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) 432))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 216 (pow.f64 (/.f64 (/.f64 72 x) x) 3))) (+.f64 46656 (pow.f64 (+.f64 (/.f64 5184 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 432)) 3))) (+.f64 1296 (*.f64 (+.f64 (/.f64 5184 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 432)) (-.f64 (+.f64 (/.f64 5184 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 432)) 36)))) |
(pow.f64 (-.f64 (/.f64 (/.f64 6 x) x) (/.f64 72 (pow.f64 x 4))) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) x) 2) |
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (/.f64 6 x) x) (/.f64 72 (pow.f64 x 4)))) 3) |
(pow.f64 (pow.f64 (-.f64 (/.f64 (/.f64 6 x) x) (/.f64 72 (pow.f64 x 4))) 3) 1/3) |
(pow.f64 (/.f64 (*.f64 x x) (-.f64 6 (/.f64 (/.f64 72 x) x))) -1) |
(neg.f64 (/.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)) (*.f64 x (neg.f64 x)))) |
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 72 x) x) -6) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)) (*.f64 x (neg.f64 x))) 1)) |
(neg.f64 (*.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)) (neg.f64 (pow.f64 x -2)))) |
(neg.f64 (*.f64 1 (/.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)) (*.f64 x (neg.f64 x))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)) x) (neg.f64 x))) |
(sqrt.f64 (/.f64 (pow.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)) 2) (pow.f64 x 4))) |
(log.f64 (exp.f64 (-.f64 (/.f64 (/.f64 6 x) x) (/.f64 72 (pow.f64 x 4))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (/.f64 6 x) x) (/.f64 72 (pow.f64 x 4)))))) |
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 6 x) x) (/.f64 72 (pow.f64 x 4))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)) 3) (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 6 x) x) (/.f64 72 (pow.f64 x 4))))) |
(exp.f64 (log.f64 (-.f64 (/.f64 (/.f64 6 x) x) (/.f64 72 (pow.f64 x 4))))) |
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (/.f64 6 x) x) (/.f64 72 (pow.f64 x 4))))) |
(+.f64 6 (*.f64 (pow.f64 x -2) -72)) |
(+.f64 (*.f64 (pow.f64 x -2) -72) 6) |
(+.f64 (-.f64 6 (exp.f64 (log1p.f64 (/.f64 (/.f64 72 x) x)))) 1) |
(*.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)) 1) |
(*.f64 1 (-.f64 6 (/.f64 (/.f64 72 x) x))) |
(*.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)))) |
(*.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)))))) |
(*.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) (pow.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) 2) (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)))))) |
(*.f64 (+.f64 36 (/.f64 -5184 (pow.f64 x 4))) (/.f64 1 (+.f64 (/.f64 (/.f64 72 x) x) 6))) |
(*.f64 (-.f64 216 (pow.f64 (/.f64 (/.f64 72 x) x) 3)) (/.f64 1 (+.f64 (/.f64 5184 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x -2) 432) 36)))) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 (/.f64 72 x) x) -6)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 (/.f64 72 x) x) -6)))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 72 x) x) -6)) (cbrt.f64 (+.f64 (/.f64 (/.f64 72 x) x) -6))) (neg.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 72 x) x) -6)))) |
(*.f64 -1 (+.f64 (/.f64 (/.f64 72 x) x) -6)) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)))) (neg.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) 2)) (neg.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))))) |
(*.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 72 x) x) 6)) (+.f64 36 (/.f64 -5184 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (+.f64 (/.f64 5184 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x -2) 432) 36))) (-.f64 216 (pow.f64 (/.f64 (/.f64 72 x) x) 3))) |
(*.f64 (/.f64 (+.f64 36 (/.f64 -5184 (pow.f64 x 4))) (+.f64 36 (/.f64 -5184 (pow.f64 x 4)))) (-.f64 6 (/.f64 (/.f64 72 x) x))) |
(*.f64 (/.f64 (+.f64 36 (/.f64 -5184 (pow.f64 x 4))) (+.f64 216 (pow.f64 (/.f64 (/.f64 72 x) x) 3))) (+.f64 36 (+.f64 (/.f64 5184 (pow.f64 x 4)) (*.f64 -432 (pow.f64 x -2))))) |
(*.f64 (/.f64 (-.f64 216 (pow.f64 (/.f64 (/.f64 72 x) x) 3)) (-.f64 1296 (*.f64 (/.f64 5184 (pow.f64 x 4)) (*.f64 (+.f64 (/.f64 (/.f64 72 x) x) 6) (+.f64 (/.f64 (/.f64 72 x) x) 6))))) (-.f64 (+.f64 36 (/.f64 -5184 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) 432))) |
(*.f64 (/.f64 (-.f64 216 (pow.f64 (/.f64 (/.f64 72 x) x) 3)) (+.f64 46656 (pow.f64 (+.f64 (/.f64 5184 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 432)) 3))) (+.f64 1296 (*.f64 (+.f64 (/.f64 5184 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 432)) (-.f64 (+.f64 (/.f64 5184 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 432)) 36)))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 (/.f64 72 x) x) -6))) (sqrt.f64 (+.f64 (/.f64 (/.f64 72 x) x) -6))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 72 x) x) -6)) (cbrt.f64 (+.f64 (/.f64 (/.f64 72 x) x) -6)))) (cbrt.f64 (+.f64 (/.f64 (/.f64 72 x) x) -6))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))))) (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) 2))) (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)))) |
(/.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)) 1) |
(/.f64 1 (/.f64 1 (-.f64 6 (/.f64 (/.f64 72 x) x)))) |
(/.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) (/.f64 1 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))))) |
(/.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) 2) (/.f64 1 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))))) |
(/.f64 (+.f64 36 (/.f64 -5184 (pow.f64 x 4))) (+.f64 (/.f64 (/.f64 72 x) x) 6)) |
(/.f64 (+.f64 36 (/.f64 -5184 (pow.f64 x 4))) (/.f64 1 (/.f64 1 (+.f64 (/.f64 (/.f64 72 x) x) 6)))) |
(/.f64 (-.f64 216 (pow.f64 (/.f64 (/.f64 72 x) x) 3)) (+.f64 (/.f64 5184 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x -2) 432) 36))) |
(/.f64 (-.f64 216 (pow.f64 (/.f64 (/.f64 72 x) x) 3)) (/.f64 1 (/.f64 1 (+.f64 (/.f64 5184 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x -2) 432) 36))))) |
(/.f64 (sqrt.f64 (-.f64 216 (pow.f64 (/.f64 (/.f64 72 x) x) 3))) (/.f64 (+.f64 (/.f64 5184 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x -2) 432) 36)) (sqrt.f64 (-.f64 216 (pow.f64 (/.f64 (/.f64 72 x) x) 3))))) |
(/.f64 (sqrt.f64 (+.f64 36 (/.f64 -5184 (pow.f64 x 4)))) (/.f64 (+.f64 (/.f64 (/.f64 72 x) x) 6) (sqrt.f64 (+.f64 36 (/.f64 -5184 (pow.f64 x 4)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 216 (pow.f64 (/.f64 (/.f64 72 x) x) 3))) (cbrt.f64 (-.f64 216 (pow.f64 (/.f64 (/.f64 72 x) x) 3)))) (/.f64 (+.f64 (/.f64 5184 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x -2) 432) 36)) (cbrt.f64 (-.f64 216 (pow.f64 (/.f64 (/.f64 72 x) x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 36 (/.f64 -5184 (pow.f64 x 4)))) (cbrt.f64 (+.f64 36 (/.f64 -5184 (pow.f64 x 4))))) (/.f64 (+.f64 (/.f64 (/.f64 72 x) x) 6) (cbrt.f64 (+.f64 36 (/.f64 -5184 (pow.f64 x 4)))))) |
(/.f64 (+.f64 -36 (/.f64 5184 (pow.f64 x 4))) (+.f64 (*.f64 (pow.f64 x -2) -72) -6)) |
(/.f64 (neg.f64 (-.f64 216 (pow.f64 (/.f64 (/.f64 72 x) x) 3))) (neg.f64 (+.f64 (/.f64 5184 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x -2) 432) 36)))) |
(/.f64 (-.f64 46656 (*.f64 139314069504 (*.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 x -2) 3)))) (*.f64 (+.f64 (/.f64 5184 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x -2) 432) 36)) (+.f64 216 (pow.f64 (/.f64 (/.f64 72 x) x) 3)))) |
(/.f64 (+.f64 1296 (*.f64 (/.f64 -5184 (pow.f64 x 4)) (/.f64 5184 (pow.f64 x 4)))) (*.f64 (+.f64 (/.f64 (/.f64 72 x) x) 6) (+.f64 (/.f64 5184 (pow.f64 x 4)) 36))) |
(/.f64 (+.f64 216 (pow.f64 (*.f64 (pow.f64 x -2) -72) 3)) (+.f64 36 (-.f64 (/.f64 5184 (pow.f64 x 4)) (neg.f64 (*.f64 (pow.f64 x -2) 432))))) |
(/.f64 (+.f64 216 (pow.f64 (*.f64 (pow.f64 x -2) -72) 3)) (*.f64 1 (+.f64 36 (-.f64 (/.f64 5184 (pow.f64 x 4)) (neg.f64 (*.f64 (pow.f64 x -2) 432)))))) |
(/.f64 (-.f64 10077696 (pow.f64 (pow.f64 (/.f64 (/.f64 72 x) x) 3) 3)) (*.f64 (+.f64 (/.f64 5184 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x -2) 432) 36)) (+.f64 46656 (*.f64 (pow.f64 (/.f64 (/.f64 72 x) x) 3) (+.f64 216 (pow.f64 (/.f64 (/.f64 72 x) x) 3)))))) |
(/.f64 (-.f64 46656 (pow.f64 (/.f64 5184 (pow.f64 x 4)) 3)) (*.f64 (+.f64 (/.f64 (/.f64 72 x) x) 6) (+.f64 1296 (*.f64 (/.f64 5184 (pow.f64 x 4)) (+.f64 (/.f64 5184 (pow.f64 x 4)) 36))))) |
(/.f64 (neg.f64 (+.f64 -36 (/.f64 5184 (pow.f64 x 4)))) (+.f64 (/.f64 (/.f64 72 x) x) 6)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 216 (pow.f64 (/.f64 (/.f64 72 x) x) 3)))) (+.f64 (/.f64 5184 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x -2) 432) 36))) |
(pow.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))) 3) |
(pow.f64 (pow.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)) 3) 1/3) |
(neg.f64 (+.f64 (/.f64 (/.f64 72 x) x) -6)) |
(neg.f64 (/.f64 (+.f64 36 (/.f64 -5184 (pow.f64 x 4))) (+.f64 (*.f64 (pow.f64 x -2) -72) -6))) |
(neg.f64 (/.f64 (-.f64 216 (pow.f64 (/.f64 (/.f64 72 x) x) 3)) (neg.f64 (+.f64 (/.f64 5184 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x -2) 432) 36))))) |
(sqrt.f64 (pow.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)) 2)) |
(log.f64 (exp.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 6 (/.f64 (/.f64 72 x) x))))) |
(cbrt.f64 (pow.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)) 3)) |
(expm1.f64 (log.f64 (-.f64 7 (/.f64 (/.f64 72 x) x)))) |
(exp.f64 (log.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)))) |
(log1p.f64 (expm1.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)))) |
| Outputs |
|---|
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (*.f64 x x)) |
(*.f64 72 (pow.f64 x -2)) |
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (*.f64 x x)) |
(*.f64 72 (pow.f64 x -2)) |
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (*.f64 x x)) |
(*.f64 72 (pow.f64 x -2)) |
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (*.f64 x x)) |
(*.f64 72 (pow.f64 x -2)) |
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (*.f64 x x)) |
(*.f64 72 (pow.f64 x -2)) |
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (*.f64 x x)) |
(*.f64 72 (pow.f64 x -2)) |
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (*.f64 x x)) |
(*.f64 72 (pow.f64 x -2)) |
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (*.f64 x x)) |
(*.f64 72 (pow.f64 x -2)) |
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (*.f64 x x)) |
(*.f64 72 (pow.f64 x -2)) |
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (*.f64 x x)) |
(*.f64 72 (pow.f64 x -2)) |
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (*.f64 x x)) |
(*.f64 72 (pow.f64 x -2)) |
(/.f64 72 (pow.f64 x 2)) |
(/.f64 72 (*.f64 x x)) |
(*.f64 72 (pow.f64 x -2)) |
(/.f64 -72 (pow.f64 x 4)) |
(*.f64 -72 (pow.f64 x -4)) |
(-.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 (pow.f64 x -2) (fma.f64 -72 (pow.f64 x -2) 6)) |
(-.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 (pow.f64 x -2) (fma.f64 -72 (pow.f64 x -2) 6)) |
(-.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 (pow.f64 x -2) (fma.f64 -72 (pow.f64 x -2) 6)) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (*.f64 x x)) |
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (/.f64 6 (*.f64 x x)) (/.f64 72 (pow.f64 x 4))) |
(*.f64 (pow.f64 x -2) (fma.f64 -72 (pow.f64 x -2) 6)) |
(-.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 (pow.f64 x -2) (fma.f64 -72 (pow.f64 x -2) 6)) |
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
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(expm1.f64 (log.f64 (-.f64 7 (/.f64 72 (*.f64 x x))))) |
(expm1.f64 (log.f64 (+.f64 7 (*.f64 -72 (pow.f64 x -2))))) |
(exp.f64 (log.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)))) |
(-.f64 6 (/.f64 72 (*.f64 x x))) |
(fma.f64 -72 (pow.f64 x -2) 6) |
(log1p.f64 (expm1.f64 (-.f64 6 (/.f64 (/.f64 72 x) x)))) |
(-.f64 6 (/.f64 72 (*.f64 x x))) |
(fma.f64 -72 (pow.f64 x -2) 6) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (-.f64 1 (cos.f64 x)) x) |
| ✓ | 0.4b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| 1.8b | (-.f64 1 (cos.f64 x)) |
Compiled 28 to 16 computations (42.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 (cos.f64 x)) x) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 (cos.f64 x)) x) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 (cos.f64 x)) x) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1518× | associate-/l* |
| 1508× | associate-/r* |
| 1040× | *-commutative |
| 644× | associate-/l/ |
| 484× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 40 |
| 1 | 218 | 40 |
| 2 | 2976 | 40 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
| Outputs |
|---|
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x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (/.f64 (cos.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (/.f64 (cos.f64 x) x))))))) |
| 1× | egg-herbie |
| 1444× | associate-/l* |
| 1088× | times-frac |
| 1020× | associate-/r* |
| 712× | associate-/l/ |
| 654× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 615 | 10371 |
| 1 | 1850 | 9903 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(+.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 (pow.f64 x -2) (*.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 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 x x) (-.f64 1 (cos.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 x (neg.f64 x)) (+.f64 -1 (cos.f64 x)))) |
(/.f64 1 (/.f64 (neg.f64 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))) |
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 x)))) |
(/.f64 1 (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) -1)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (pow.f64 x -1/2) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))) |
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2))) |
(/.f64 (pow.f64 x -1/2) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (pow.f64 x -1/2))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 x))) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x -2)))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 (/.f64 1 x)))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 x (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (pow.f64 x -2) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.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 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.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 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) |
(/.f64 -1 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 -1 x))) |
(/.f64 -1 (/.f64 (*.f64 x (neg.f64 x)) (-.f64 1 (cos.f64 x)))) |
(/.f64 -1 (/.f64 (neg.f64 (*.f64 x x)) (-.f64 1 (cos.f64 x)))) |
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 -1 (/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x)))) |
(/.f64 -1 (*.f64 x (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) 1)) |
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 (neg.f64 x) (/.f64 1 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) -1)) |
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (neg.f64 x)))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (/.f64 (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)))) |
(/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) (/.f64 (neg.f64 (*.f64 x x)) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
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(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) -1) |
(*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/3) |
(pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3)) |
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (-.f64 1 (cos.f64 x)) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(fma.f64 1 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x))) |
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (/.f64 (cos.f64 x) x))) |
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (/.f64 (cos.f64 x) x))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5))))) |
(+.f64 (pow.f64 x -2) (*.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x)))) |
(+.f64 (pow.f64 x -2) (/.f64 (neg.f64 (/.f64 (cos.f64 x) x)) x)) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x))) |
(+.f64 (pow.f64 x -2) (/.f64 (neg.f64 (/.f64 (cos.f64 x) x)) x)) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(+.f64 (pow.f64 x -2) (/.f64 (neg.f64 (/.f64 (cos.f64 x) x)) x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 1 (/.f64 (*.f64 x (neg.f64 x)) (+.f64 -1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 1 (/.f64 (neg.f64 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 1 (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 1 (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))) |
(/.f64 (/.f64 1 x) (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) -1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (pow.f64 x -1/2) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))) |
(/.f64 (pow.f64 x -1/2) (/.f64 (*.f64 x (sqrt.f64 x)) (-.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 x -1/2) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2))) |
(*.f64 (/.f64 (pow.f64 x -1/2) (/.f64 x (-.f64 1 (cos.f64 x)))) (pow.f64 x -1/2)) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1)) x) |
(/.f64 (pow.f64 x -1/2) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) |
(/.f64 (pow.f64 x -1/2) (/.f64 (*.f64 x (sqrt.f64 x)) (-.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 x -1/2) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (pow.f64 x -1/2))) |
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 x)) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 (/.f64 1 x)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 x (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(/.f64 (pow.f64 x -2) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 x x)) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 x x)) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 x x)) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
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(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 x (sin.f64 x))) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x) (/.f64 (-.f64 1 (*.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x) (+.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))))) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) 3))) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 3) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/3) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (-.f64 1 (cos.f64 x)) 3))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 3))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(fma.f64 1 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (/.f64 (cos.f64 x) x))) |
(-.f64 (pow.f64 x -1) (/.f64 (cos.f64 x) x)) |
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (/.f64 (cos.f64 x) x))) |
(-.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2))) (/.f64 (cos.f64 x) x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
| ✓ | 0.4b | (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) |
| 1.8b | (+.f64 -1 (cos.f64 x)) |
Compiled 30 to 18 computations (40% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
| 1× | batch-egg-rewrite |
| 1724× | associate-/l* |
| 1122× | *-commutative |
| 718× | associate-/r/ |
| 588× | associate-/l/ |
| 486× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 52 |
| 1 | 219 | 48 |
| 2 | 3010 | 48 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 1 (*.f64 (cos.f64 x) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (/.f64 -1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (cos.f64 x) (/.f64 -1 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 x)) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 x (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 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#<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 1 (*.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 x (*.f64 -1 (sqrt.f64 (+.f64 -1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 1 (*.f64 (/.f64 -1 x) (sqrt.f64 (+.f64 -1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 1 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 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x))) (/.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 -1 (cos.f64 x)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 1 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) 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| 1× | egg-herbie |
| 1160× | unswap-sqr |
| 564× | associate-/r* |
| 518× | distribute-lft-neg-in |
| 518× | associate-/l* |
| 452× | distribute-rgt-neg-out |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 406 | 5859 |
| 1 | 1203 | 5075 |
| 2 | 4802 | 5075 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(+.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x))) |
(+.f64 (/.f64 1 x) (*.f64 1 (*.f64 (cos.f64 x) (/.f64 -1 x)))) |
(+.f64 (/.f64 1 x) (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 x)) 1)) |
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(+.f64 (*.f64 1 (*.f64 (cos.f64 x) (/.f64 -1 x))) (/.f64 1 x)) |
(+.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 x)) 1) (/.f64 1 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) 1) |
(/.f64 -1 (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(/.f64 -1 (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 -1 (/.f64 (+.f64 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 -1 x) (/.f64 1 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 1) |
(/.f64 1 (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) |
(/.f64 1 (/.f64 (neg.f64 x) (+.f64 -1 (cos.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 1 (*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 1 (*.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (/.f64 -1 x))))) |
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(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 x (*.f64 -1 (sqrt.f64 (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 1 (*.f64 (/.f64 -1 x) (sqrt.f64 (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 1 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (cbrt.f64 x))))) |
(/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (/.f64 1 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))))) |
(/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 (neg.f64 x) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 x (*.f64 -1 (cbrt.f64 (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 1 (*.f64 (/.f64 -1 x) (cbrt.f64 (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) |
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (/.f64 x 1)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) -1)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 -1 (cos.f64 x)) (/.f64 -1 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) 1)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 1 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (neg.f64 x) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) -1)) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 -1 x))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)) 1)) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 1 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (/.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x))))) (/.f64 x (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (/.f64 -1 x))) (*.f64 1 (sqrt.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (/.f64 1 (/.f64 -1 (cbrt.f64 x)))) |
(/.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (/.f64 1 (sqrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (*.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 x (-.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 x) (neg.f64 (-.f64 -1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 1 (*.f64 x (-.f64 -1 (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (*.f64 (neg.f64 x) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (*.f64 1 (+.f64 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (*.f64 (/.f64 -1 x) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 -1 x) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 (neg.f64 x) (-.f64 (sqrt.f64 (cos.f64 x)) 1))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)) (-.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) 1) (*.f64 (neg.f64 x) (-.f64 (cos.f64 x) -1))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (-.f64 (pow.f64 (cos.f64 x) 3) -1))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) -1)) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (/.f64 -1 (cbrt.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) (sin.f64 x))) |
(pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 x) 3) (pow.f64 (+.f64 -1 (cos.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
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(*.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x)) |
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(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(*.f64 (/.f64 1 x) (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) |
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(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 x)) (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (neg.f64 x) (sqrt.f64 x)))) |
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(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2))) |
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(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) x)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (sqrt.f64 (/.f64 -1 x)))) (sqrt.f64 (/.f64 -1 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) x) (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) (/.f64 -1 (cbrt.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2))) (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (*.f64 x (neg.f64 x))) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 3) 1/3) |
(pow.f64 (*.f64 x (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) -1) |
(neg.f64 (neg.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 1 x))) |
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x))) |
(neg.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) 1)) |
(neg.f64 (*.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x)) |
(fma.f64 1/2 x (*.f64 -1/24 (pow.f64 x 3))) |
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/720 (pow.f64 x 5) (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 1/720 (pow.f64 x 5) (*.f64 -1/40320 (pow.f64 x 7))))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(+.f64 (/.f64 1 x) (*.f64 (cos.f64 x) (/.f64 -1 x))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (/.f64 1 x) (*.f64 1 (*.f64 (cos.f64 x) (/.f64 -1 x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (/.f64 1 x) (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 x)) 1)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (*.f64 (cos.f64 x) (/.f64 -1 x)) (/.f64 1 x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (*.f64 1 (*.f64 (cos.f64 x) (/.f64 -1 x))) (/.f64 1 x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 x)) 1) (/.f64 1 x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))) 1) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 -1 (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 -1 (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 -1 (*.f64 x (-.f64 -1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 x (+.f64 (cos.f64 x) 1))) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) 1) (/.f64 (sin.f64 x) x))) |
(/.f64 -1 (/.f64 (+.f64 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 -1 (+.f64 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (/.f64 -1 x) (/.f64 1 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 1) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 1 (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 1 (/.f64 (neg.f64 x) (+.f64 -1 (cos.f64 x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 1 (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 -1 (*.f64 x (-.f64 -1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 x (+.f64 (cos.f64 x) 1))) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) 1) (/.f64 (sin.f64 x) x))) |
(/.f64 1 (/.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 -1 (+.f64 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x)) |
(/.f64 1 (*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 1 (*.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (/.f64 -1 x))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (*.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (/.f64 -1 x)))) |
(*.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (/.f64 -1 x)))) |
(/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 x (*.f64 -1 (sqrt.f64 (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 1 (*.f64 (/.f64 -1 x) (sqrt.f64 (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 1 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (cbrt.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) 1) (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (cbrt.f64 x)))) |
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) 2) (/.f64 1 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 (neg.f64 x) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 x (*.f64 -1 (cbrt.f64 (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 1 (*.f64 (/.f64 -1 x) (cbrt.f64 (+.f64 -1 (cos.f64 x)))))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (/.f64 x 1)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x))) |
(*.f64 (/.f64 -1 (*.f64 x (-.f64 -1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 x (+.f64 (cos.f64 x) 1))) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) 1) (/.f64 (sin.f64 x) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (cos.f64 x))))) |
(*.f64 (/.f64 -1 (*.f64 x (-.f64 -1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 x (+.f64 (cos.f64 x) 1))) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) 1) (/.f64 (sin.f64 x) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) -1)) |
(*.f64 (/.f64 -1 (*.f64 x (-.f64 -1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 x (+.f64 (cos.f64 x) 1))) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) 1) (/.f64 (sin.f64 x) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 -1 (cos.f64 x)) (/.f64 -1 x))) |
(*.f64 (/.f64 -1 (*.f64 x (-.f64 -1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
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(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(neg.f64 (neg.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(neg.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 1 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(neg.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) 1)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(neg.f64 (*.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2)) |
(fabs.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) |
(log.f64 (exp.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) 3)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) 3) (pow.f64 x 3))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(exp.f64 (log.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
Compiled 25789 to 15578 computations (39.6% saved)
24 alts after pruning (15 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1340 | 12 | 1352 |
| Fresh | 5 | 3 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 8 | 9 |
| Total | 1346 | 24 | 1370 |
| Status | Error | Program |
|---|---|---|
| 31.4b | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) | |
| ✓ | 0.1b | (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
| 46.2b | (/.f64 (/.f64 6 x) x) | |
| 31.4b | (/.f64 (/.f64 1 (*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 x))))) x) | |
| 31.4b | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) | |
| 37.9b | (/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) | |
| ✓ | 47.1b | (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
| ✓ | 32.0b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| ✓ | 31.4b | (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
| ✓ | 13.2b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| ✓ | 46.2b | (/.f64 6 (*.f64 x x)) |
| 32.2b | (/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) | |
| 31.8b | (/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x))) | |
| 31.8b | (/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) | |
| 31.9b | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| 47.9b | (-.f64 (+.f64 1 (/.f64 6 (*.f64 x x))) 1) | |
| ✓ | 30.9b | (+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
| ✓ | 30.9b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 46.2b | (*.f64 (pow.f64 x -2) 6) | |
| ✓ | 31.4b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| 46.2b | (*.f64 (/.f64 6 x) (/.f64 1 x)) | |
| 31.5b | (*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) | |
| 46.2b | (*.f64 -6 (/.f64 1 (neg.f64 (*.f64 x x)))) | |
| 30.1b | 1/2 |
Compiled 243 to 172 computations (29.2% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) 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 (+.f64 1 (/.f64 6 (*.f64 x x))) 1) |
(+.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 (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 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) |
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 x))))) x) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x)) |
(/.f64 (*.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 x x)) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (cos.f64 x))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4)))) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
2 calls:
| 20.0ms | x |
| 8.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 468 to 264 computations (43.6% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) 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 (+.f64 1 (/.f64 6 (*.f64 x x))) 1) |
(+.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 (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 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) |
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 x))))) x) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) |
2 calls:
| 18.0ms | x |
| 6.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 346 to 196 computations (43.4% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) 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 (+.f64 1 (/.f64 6 (*.f64 x x))) 1) |
(+.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 (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 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) |
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 x))))) x) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
| Outputs |
|---|
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
2 calls:
| 49.0ms | x |
| 18.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
| 1.4b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 324 to 184 computations (43.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.00034323756713022276 | 0.24823024317162315 |
| 23.0ms | -858635884.7054715 | -0.00040172557869299675 |
| 34.0ms | 288× | body | 256 | valid |
Compiled 395 to 309 computations (21.8% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) 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 (+.f64 1 (/.f64 6 (*.f64 x x))) 1) |
(+.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 (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 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) |
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 x))))) x) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
2 calls:
| 39.0ms | x |
| 13.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
| 1.4b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 296 to 169 computations (42.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.00034323756713022276 | 0.24823024317162315 |
| 26.0ms | -858635884.7054715 | -0.00040172557869299675 |
| 37.0ms | 288× | body | 256 | valid |
Compiled 395 to 301 computations (23.8% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) 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 (+.f64 1 (/.f64 6 (*.f64 x x))) 1) |
(+.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 (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 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) |
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 -1 x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
2 calls:
| 37.0ms | x |
| 12.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
| 1.4b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 256 to 149 computations (41.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.00034323756713022276 | 0.24823024317162315 |
| 22.0ms | -858635884.7054715 | -0.00040172557869299675 |
| 34.0ms | 288× | body | 256 | valid |
Compiled 355 to 261 computations (26.5% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) 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 (+.f64 1 (/.f64 6 (*.f64 x x))) 1) |
(+.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 (pow.f64 x -2) 6) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
2 calls:
| 22.0ms | x |
| 9.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 3 | x |
| 1.4b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 113 to 68 computations (39.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.00034323756713022276 | 0.24823024317162315 |
| 27.0ms | -858635884.7054715 | -0.00040172557869299675 |
| 39.0ms | 288× | body | 256 | valid |
Compiled 355 to 261 computations (26.5% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) 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 (+.f64 1 (/.f64 6 (*.f64 x x))) 1) |
(+.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 (pow.f64 x -2) 6) |
| Outputs |
|---|
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
1 calls:
| 20.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 14.4b | 3 | x |
Compiled 96 to 58 computations (39.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 9.44879671277205e-7 | 0.00034323756713022276 |
| 23.0ms | -858635884.7054715 | -0.00040172557869299675 |
| 23.0ms | 176× | body | 256 | valid |
Compiled 197 to 146 computations (25.9% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) 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 (+.f64 1 (/.f64 6 (*.f64 x x))) 1) |
(+.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)) |
| 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:
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 14.4b | 3 | x |
Compiled 78 to 47 computations (39.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.24823024317162315 | 235920.25817116915 |
| 21.0ms | -858635884.7054715 | -0.00040172557869299675 |
| 37.0ms | 304× | body | 256 | valid |
Compiled 447 to 340 computations (23.9% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) 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 (+.f64 1 (/.f64 6 (*.f64 x x))) 1) |
(+.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:
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 14.4b | 3 | x |
Compiled 56 to 37 computations (33.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.24823024317162315 | 235920.25817116915 |
| 21.0ms | -858635884.7054715 | -0.00040172557869299675 |
| 37.0ms | 304× | body | 256 | valid |
Compiled 393 to 313 computations (20.4% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) 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 (+.f64 1 (/.f64 6 (*.f64 x x))) 1) |
| 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 |
|---|---|---|
| 14.4b | 3 | x |
Compiled 45 to 29 computations (35.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.24823024317162315 | 235920.25817116915 |
| 21.0ms | -858635884.7054715 | -0.00040172557869299675 |
| 36.0ms | 304× | body | 256 | valid |
Compiled 317 to 237 computations (25.2% saved)
Total -47.0b remaining (-320.6%)
Threshold costs -47.0b (-320.6%)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(/.f64 (/.f64 6 x) 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 |
|---|---|---|
| 14.7b | 3 | x |
Compiled 21 to 14 computations (33.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.24823024317162315 | 235920.25817116915 |
| 21.0ms | -858635884.7054715 | -0.00040172557869299675 |
| 36.0ms | 304× | body | 256 | valid |
Compiled 203 to 161 computations (20.7% saved)
| 1× | egg-herbie |
| 18× | +-commutative |
| 12× | *-commutative |
| 10× | sub-neg |
| 8× | if-if-or-not |
| 4× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 752 |
| 1 | 110 | 752 |
| 2 | 120 | 752 |
| 3 | 124 | 752 |
| 4 | 126 | 752 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) |
(if (<=.f64 x -662929865148937/144115188075855872) (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) (if (<=.f64 x 2132904783522667/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(if (<=.f64 x -662929865148937/144115188075855872) (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) (if (<=.f64 x 2132904783522667/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -662929865148937/144115188075855872) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 2132904783522667/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -662929865148937/144115188075855872) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 2132904783522667/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(if (<=.f64 x -13/4) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 4722366482869645/4722366482869645213696) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)))) |
(if (<=.f64 x -13/4) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3884354678607053/1125899906842624) (+.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 -13/4) (/.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 -13/4) (/.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 -7/2) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3884354678607053/1125899906842624) 1/2 (/.f64 6 (*.f64 x x)))) |
1/2 |
| Outputs |
|---|
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) |
(if (<=.f64 x -662929865148937/144115188075855872) (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) (if (<=.f64 x 2132904783522667/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(if (<=.f64 x -662929865148937/144115188075855872) (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) (if (<=.f64 x 2132904783522667/576460752303423488) (+.f64 1/2 (*.f64 (*.f64 x x) -1/24)) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(if (<=.f64 x -662929865148937/144115188075855872) (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) (if (<=.f64 x 2132904783522667/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -662929865148937/144115188075855872) (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) (if (<=.f64 x 2132904783522667/576460752303423488) (+.f64 1/2 (*.f64 (*.f64 x x) -1/24)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -662929865148937/144115188075855872) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 2132904783522667/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -662929865148937/144115188075855872) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 2132904783522667/576460752303423488) (+.f64 1/2 (*.f64 (*.f64 x x) -1/24)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -662929865148937/144115188075855872) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 2132904783522667/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(if (or (<=.f64 x -662929865148937/144115188075855872) (not (<=.f64 x 2132904783522667/576460752303423488))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (+.f64 1/2 (*.f64 (*.f64 x x) -1/24))) |
(if (<=.f64 x -13/4) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 4722366482869645/4722366482869645213696) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)))) |
(if (<=.f64 x -13/4) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 4722366482869645/4722366482869645213696) (+.f64 1/2 (*.f64 (*.f64 x x) -1/24)) (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)))) |
(if (<=.f64 x -13/4) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3884354678607053/1125899906842624) (+.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 -13/4) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3884354678607053/1125899906842624) (+.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 -13/4) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3884354678607053/1125899906842624) (+.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 -13/4) (/.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 -13/4) (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 -13/4) (/.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 -13/4) (not (<=.f64 x 3715469692580659/1125899906842624))) (/.f64 6 (*.f64 x x)) (+.f64 1/2 (*.f64 (*.f64 x x) -1/24))) |
(if (<=.f64 x -7/2) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3884354678607053/1125899906842624) 1/2 (/.f64 6 (*.f64 x x)))) |
(if (or (<=.f64 x -7/2) (not (<=.f64 x 3884354678607053/1125899906842624))) (/.f64 6 (*.f64 x x)) 1/2) |
1/2 |
Compiled 289 to 194 computations (32.9% saved)
Compiled 278 to 171 computations (38.5% saved)
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