Time bar (total: 12.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 5 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 6 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 7 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 8 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 9 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 10 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 11 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 12 |
Compiled 10 to 7 computations (30% saved)
| 1.4s | 1980× | body | 2048 | valid |
| 465.0ms | 3402× | body | 256 | valid |
| 424.0ms | 1152× | body | 1024 | valid |
| 343.0ms | 1629× | body | 512 | valid |
| 97.0ms | 93× | 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 |
|---|---|---|
| ▶ | 30.9b | (/.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 |
|---|---|---|
| ✓ | 1.4b | (-.f64 1 (cos.f64 x)) |
| ✓ | 13.8b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 20 to 9 computations (55% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (-.f64 1 (cos.f64 x)) |
| 0.0ms | x | @ | inf | (-.f64 1 (cos.f64 x)) |
| 1× | batch-egg-rewrite |
| 1514× | associate-*r/ |
| 1354× | associate-/r* |
| 1182× | associate-/l* |
| 1142× | associate-*l/ |
| 872× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 34 |
| 1 | 190 | 34 |
| 2 | 2636 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(-.f64 1 (cos.f64 x)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) 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(cos.f64 x)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 552× | div-sub |
| 432× | associate-/l* |
| 432× | associate-+r+ |
| 390× | associate-+l+ |
| 370× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 321 | 5119 |
| 1 | 890 | 4897 |
| 2 | 3946 | 4843 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) |
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (pow.f64 x -2)) |
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x)))) |
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(+.f64 1 (neg.f64 (cos.f64 x))) |
(+.f64 (neg.f64 (cos.f64 x)) 1) |
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(*.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) 1) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 1 (cos.f64 x))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 1 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 (*.f64 1/2 x) x) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
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(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(-.f64 1 (cos.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(-.f64 1 (cos.f64 x)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(-.f64 1 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(-.f64 1 (cos.f64 x)) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
Compiled 4007 to 2144 computations (46.5% saved)
20 alts after pruning (19 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 179 | 19 | 198 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 179 | 20 | 199 |
| Status | Error | Program |
|---|---|---|
| 30.4b | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) | |
| 38.6b | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) | |
| 30.9b | (/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (*.f64 x x)) | |
| ▶ | 30.9b | (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
| ✓ | 30.9b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 31.0b | (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) | |
| ▶ | 14.4b | (/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x)) |
| 14.6b | (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2))) | |
| ▶ | 14.2b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 30.9b | (/.f64 (log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) | |
| ▶ | 30.9b | (/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) |
| 30.9b | (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) (*.f64 x x)) | |
| 30.3b | (-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) | |
| 32.2b | (+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) | |
| ▶ | 32.3b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 30.7b | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) | |
| 30.3b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) | |
| 30.9b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) | |
| 41.4b | (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) | |
| 31.4b | 1/2 |
Compiled 517 to 370 computations (28.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| ✓ | 13.8b | (/.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 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) 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(sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))))) (#(struct:change #<rule 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x 1/2)) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))))) |
| 1× | egg-herbie |
| 1428× | associate-/r* |
| 1248× | associate-/l/ |
| 824× | distribute-rgt-in |
| 818× | distribute-lft-in |
| 728× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 284 | 5218 |
| 1 | 760 | 4964 |
| 2 | 3094 | 4964 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) |
(*.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 x -2))) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (/.f64 1 (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 4)) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))) (sin.f64 x)) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) x) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (pow.f64 (cbrt.f64 x) 4)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) 1)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 x x)) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6)) |
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2)) |
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) 1)) |
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 x (neg.f64 x))))) |
(neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x x))) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) |
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x))))) |
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(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
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(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)) |
(fabs.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))) |
(fabs.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 3) (pow.f64 x 6))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3)) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1)) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 -1/24 (*.f64 x x)) |
Compiled 19 to 10 computations (47.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 -1/24 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 -1/24 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 -1/24 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1080× | add-sqr-sqrt |
| 1058× | *-un-lft-identity |
| 1006× | pow1 |
| 990× | add-cube-cbrt |
| 982× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 122 | 13 |
| 2 | 1411 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/24 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/576 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1470× | distribute-rgt-in |
| 1446× | distribute-lft-in |
| 1164× | log-prod |
| 760× | associate-*r* |
| 696× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 299 |
| 1 | 93 | 299 |
| 2 | 348 | 299 |
| 3 | 1913 | 299 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2) |
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3) |
(sqrt.f64 (*.f64 1/576 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(sqrt.f64 (*.f64 1/576 (pow.f64 x 4))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 1 (-.f64 1 (cos.f64 x))) |
| ✓ | 0.2b | (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
| 1.4b | (-.f64 1 (cos.f64 x)) | |
| ✓ | 13.8b | (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
Compiled 38 to 23 computations (39.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 1 (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 1 (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
| 0.0ms | x | @ | -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 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3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))))))) |
| 1× | egg-herbie |
| 1004× | associate-+r+ |
| 772× | associate-*l* |
| 762× | associate-*r* |
| 552× | +-commutative |
| 540× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 478 | 7021 |
| 1 | 1365 | 6723 |
| 2 | 6121 | 6723 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(/.f64 2 (pow.f64 x 2)) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (*.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2)) |
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 x -2)) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (neg.f64 (*.f64 x x)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) 1) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) -1) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (+.f64 (cos.f64 x) -1))) -1) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 1)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) -1) 1) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) -1) -1) (-.f64 1 (cos.f64 x))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x))) 1)) |
(neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (neg.f64 (*.f64 x x))))) |
(neg.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2)) |
(log.f64 (exp.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(+.f64 1 (neg.f64 (cos.f64 x))) |
(+.f64 (neg.f64 (cos.f64 x)) 1) |
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (/.f64 (cos.f64 x) 1)) |
(-.f64 0 (-.f64 (cos.f64 x) 1)) |
(-.f64 (exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) 1) |
(-.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))) |
(-.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 -1 (+.f64 (cos.f64 x) -1)) |
(*.f64 (+.f64 (cos.f64 x) -1) -1) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (neg.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1))) (neg.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) -1) (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) -1) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) -1)) |
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) -1) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) -1)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) -1) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 1)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) -1) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1))) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) -1) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(neg.f64 (+.f64 (cos.f64 x) -1)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) -1))) |
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 -1 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) 1)) |
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1)) |
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cos.f64 x))) |
(+.f64 (*.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (cos.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(+.f64 (*.f64 (cos.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(+.f64 (*.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(+.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(+.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (cos.f64 x) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))) 1) |
(*.f64 1 (/.f64 -1 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 1) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))) |
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 -1 (/.f64 1 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) -1) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) -1) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) -1)) |
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (cos.f64 x)) -1)) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 -1 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 1) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) 1) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) -1) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 -1 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) 1) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) -1) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 1) |
(pow.f64 (-.f64 1 (cos.f64 x)) -1) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 2) |
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) 3) |
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3) 1/3) |
(neg.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) |
(log.f64 (exp.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))) |
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) |
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
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(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) |
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(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (/.f64 -1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) |
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) -1) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (/.f64 1 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))) |
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (/.f64 -1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
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(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) -1)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -1)) (*.f64 (/.f64 (sin.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
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(/.f64 (*.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (pow.f64 (cos.f64 x) 6))) |
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 6)))) |
(*.f64 (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (+.f64 (*.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (cos.f64 x) 6)))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3))) |
(*.f64 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3))) (+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (pow.f64 (cos.f64 x) 6) 1))) |
(*.f64 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3))) (+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 6)))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) 1)) (-.f64 1 (pow.f64 (cos.f64 x) 4))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 6))) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (pow.f64 (cos.f64 x) 4) 1))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 6))) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 4)))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (neg.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 1) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(pow.f64 (-.f64 1 (cos.f64 x)) -1) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 2) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) 3) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3) 1/3) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(neg.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) |
(fabs.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(log.f64 (exp.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3)) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) |
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
(/.f64 -1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 1 (cos.f64 x))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
| ✓ | 1.3b | (log1p.f64 (neg.f64 (cos.f64 x))) |
| ✓ | 13.8b | (/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) |
Compiled 28 to 7 computations (75% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | x | @ | inf | (/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) |
| 16.0ms | x | @ | -inf | (/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) |
| 1.0ms | x | @ | 0 | (/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
| 0.0ms | x | @ | 0 | (log1p.f64 (neg.f64 (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1856× | add-sqr-sqrt |
| 1840× | *-un-lft-identity |
| 1712× | add-cube-cbrt |
| 1690× | add-cbrt-cube |
| 200× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 59 |
| 1 | 203 | 43 |
| 2 | 2657 | 43 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) |
(log1p.f64 (neg.f64 (cos.f64 x))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) 1) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (cos.f64 x) 1)) (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 1) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) x) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) 1) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) (sqrt.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2) (cbrt.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 x))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 x)))) (sqrt.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2)) (cbrt.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) 1))))))) |
| 1× | egg-herbie |
| 1520× | associate-/l* |
| 1406× | associate-*r/ |
| 1104× | distribute-lft-in |
| 1072× | distribute-rgt-in |
| 936× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 203 | 2790 |
| 1 | 494 | 2308 |
| 2 | 2548 | 2308 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) |
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))) |
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))))) |
(+.f64 (*.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))) |
(+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) |
(+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))) |
(+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1/90720 (pow.f64 x 6)) (*.f64 2 (log.f64 x)))))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) |
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 6))) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)))))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) 1) |
(*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1) |
(*.f64 1 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) 1) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1)) |
(*.f64 (neg.f64 (+.f64 (cos.f64 x) 1)) (/.f64 1 (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) 1) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 1) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) x) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) |
(pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3) 1/3) |
(pow.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) 1) x)) -1) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 x (neg.f64 x)))) |
(sqrt.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) |
(exp.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2)))) |
(exp.f64 (*.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) |
(+.f64 0 (log1p.f64 (cos.f64 x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)))) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 x)))) 1) |
(*.f64 (log1p.f64 (cos.f64 x)) 1) |
(*.f64 1 (log1p.f64 (cos.f64 x))) |
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) (sqrt.f64 (log1p.f64 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2) (cbrt.f64 (log1p.f64 (cos.f64 x)))) |
(pow.f64 (log1p.f64 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 2)) |
(log.f64 (+.f64 (cos.f64 x) 1)) |
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 x)))) |
(exp.f64 (log.f64 (log1p.f64 (cos.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 x))) 1)) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 x) 1))) 1) |
(*.f64 (+.f64 (cos.f64 x) 1) 1) |
(*.f64 1 (+.f64 (cos.f64 x) 1)) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (+.f64 (cos.f64 x) 1))) |
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1)) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(pow.f64 (+.f64 (cos.f64 x) 1) 1) |
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 3) |
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) 1/3) |
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 x)))) (sqrt.f64 (log1p.f64 (cos.f64 x)))) |
(pow.f64 (exp.f64 1) (log1p.f64 (cos.f64 x))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2)) (cbrt.f64 (log1p.f64 (cos.f64 x)))) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2)) |
(log.f64 (exp.f64 (+.f64 (cos.f64 x) 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) 1)))) |
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) 1))) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) 1))) |
| Outputs |
|---|
(/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) |
(/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) |
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))) |
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)) (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) -1/12)) |
(+.f64 (*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) (*.f64 (*.f64 x x) -1/24)) |
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))))) |
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)) (fma.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)) (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) -1/12))) |
(+.f64 (*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) (fma.f64 1/360 (*.f64 1/2 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) (fma.f64 1/360 (*.f64 1/2 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1/24))) |
(+.f64 (*.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))))) |
(fma.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4)) (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)) (fma.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)) (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) -1/12)))) |
(+.f64 (fma.f64 1/360 (*.f64 1/2 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x))) (fma.f64 (*.f64 -1/40320 (*.f64 x x)) (pow.f64 x 4) (*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)))) |
(+.f64 (fma.f64 1/360 (*.f64 1/2 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1/24)) (fma.f64 (*.f64 (*.f64 x x) -1/40320) (pow.f64 x 4) (*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))) |
(fma.f64 2 (log.f64 x) (log.f64 1/2)) |
(+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) |
(fma.f64 -1/12 (*.f64 x x) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) |
(fma.f64 (*.f64 x x) -1/12 (fma.f64 2 (log.f64 x) (log.f64 1/2))) |
(+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))) |
(fma.f64 -1/1440 (pow.f64 x 4) (fma.f64 -1/12 (*.f64 x x) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))) |
(fma.f64 (pow.f64 x 4) -1/1440 (fma.f64 (*.f64 x x) -1/12 (fma.f64 2 (log.f64 x) (log.f64 1/2)))) |
(+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1/90720 (pow.f64 x 6)) (*.f64 2 (log.f64 x)))))) |
(fma.f64 -1/1440 (pow.f64 x 4) (fma.f64 -1/12 (*.f64 x x) (+.f64 (log.f64 1/2) (fma.f64 -1/90720 (pow.f64 x 6) (*.f64 2 (log.f64 x)))))) |
(fma.f64 (pow.f64 x 4) -1/1440 (+.f64 (fma.f64 (*.f64 x x) -1/12 (fma.f64 2 (log.f64 x) (log.f64 1/2))) (*.f64 -1/90720 (pow.f64 x 6)))) |
(+.f64 (fma.f64 (pow.f64 x 4) -1/1440 (fma.f64 (*.f64 x x) -1/12 (fma.f64 2 (log.f64 x) (log.f64 1/2)))) (*.f64 -1/90720 (pow.f64 x 6))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log1p.f64 (neg.f64 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log1p.f64 (neg.f64 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log1p.f64 (neg.f64 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log1p.f64 (neg.f64 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log1p.f64 (neg.f64 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log1p.f64 (neg.f64 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log1p.f64 (neg.f64 (cos.f64 x))) |
(log.f64 (-.f64 1 (cos.f64 x))) |
(log1p.f64 (neg.f64 (cos.f64 x))) |
(exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)))) |
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/12 (*.f64 1/2 (pow.f64 x 4)))) |
(+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))))) |
(fma.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4)) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x))))) |
(fma.f64 (*.f64 1/720 (*.f64 x x)) (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/12 (*.f64 1/2 (pow.f64 x 4))))) |
(fma.f64 (*.f64 (*.f64 x x) 1/720) (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/12 (*.f64 1/2 (pow.f64 x 4))))) |
(+.f64 (*.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 6))) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)))))) |
(fma.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 6)) (fma.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4)) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)))))) |
(fma.f64 (*.f64 -1/40320 (*.f64 x x)) (pow.f64 x 6) (fma.f64 (*.f64 1/720 (*.f64 x x)) (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/12 (*.f64 1/2 (pow.f64 x 4)))))) |
(fma.f64 (*.f64 (*.f64 x x) -1/40320) (pow.f64 x 6) (fma.f64 (*.f64 (*.f64 x x) 1/720) (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/12 (*.f64 1/2 (pow.f64 x 4)))))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) 1) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x)) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2)) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) 1) x) (/.f64 1 x)) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1)) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (neg.f64 (+.f64 (cos.f64 x) 1)) (/.f64 1 (*.f64 x (neg.f64 x)))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) 1) x)) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 1) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) x) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) x)) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) 2) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 3) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3) 1/3) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) 1) x)) -1) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 x (neg.f64 x)))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(sqrt.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (pow.f64 x 4))) |
(sqrt.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3)) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(exp.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2)))) |
(exp.f64 (+.f64 (log1p.f64 (cos.f64 x)) (*.f64 -2 (log.f64 x)))) |
(*.f64 (pow.f64 x -2) (exp.f64 (log1p.f64 (cos.f64 x)))) |
(exp.f64 (*.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2))) 1)) |
(exp.f64 (+.f64 (log1p.f64 (cos.f64 x)) (*.f64 -2 (log.f64 x)))) |
(*.f64 (pow.f64 x -2) (exp.f64 (log1p.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) |
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 0 (log1p.f64 (cos.f64 x))) |
(log1p.f64 (cos.f64 x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)))) |
(log1p.f64 (cos.f64 x)) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)))) |
(log1p.f64 (cos.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 x)))) 1) |
(log1p.f64 (cos.f64 x)) |
(*.f64 (log1p.f64 (cos.f64 x)) 1) |
(log1p.f64 (cos.f64 x)) |
(*.f64 1 (log1p.f64 (cos.f64 x))) |
(log1p.f64 (cos.f64 x)) |
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) (sqrt.f64 (log1p.f64 (cos.f64 x)))) |
(log1p.f64 (cos.f64 x)) |
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2)) |
(log1p.f64 (cos.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2) (cbrt.f64 (log1p.f64 (cos.f64 x)))) |
(log1p.f64 (cos.f64 x)) |
(pow.f64 (log1p.f64 (cos.f64 x)) 1) |
(log1p.f64 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) 2) |
(log1p.f64 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 3) |
(log1p.f64 (cos.f64 x)) |
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3) 1/3) |
(log1p.f64 (cos.f64 x)) |
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 2)) |
(fabs.f64 (log1p.f64 (cos.f64 x))) |
(log.f64 (+.f64 (cos.f64 x) 1)) |
(log1p.f64 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3)) |
(log1p.f64 (cos.f64 x)) |
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 x)))) |
(log1p.f64 (cos.f64 x)) |
(exp.f64 (log.f64 (log1p.f64 (cos.f64 x)))) |
(log1p.f64 (cos.f64 x)) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 x))) 1)) |
(log1p.f64 (cos.f64 x)) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(+.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 x) 1))) 1) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (+.f64 (cos.f64 x) 1) 1) |
(+.f64 1 (cos.f64 x)) |
(*.f64 1 (+.f64 (cos.f64 x) 1)) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (+.f64 (cos.f64 x) 1))) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1))) |
(+.f64 1 (cos.f64 x)) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1)) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(pow.f64 (+.f64 (cos.f64 x) 1) 1) |
(+.f64 1 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 2) |
(+.f64 1 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 3) |
(+.f64 1 (cos.f64 x)) |
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) 1/3) |
(+.f64 1 (cos.f64 x)) |
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 x)))) (sqrt.f64 (log1p.f64 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (cos.f64 x))) |
(pow.f64 (exp.f64 1) (log1p.f64 (cos.f64 x))) |
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 x)))) (sqrt.f64 (log1p.f64 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (cos.f64 x))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2)) (cbrt.f64 (log1p.f64 (cos.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 x)))) (sqrt.f64 (log1p.f64 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (cos.f64 x))) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2)) |
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) |
(fabs.f64 (+.f64 1 (cos.f64 x))) |
(log.f64 (exp.f64 (+.f64 (cos.f64 x) 1))) |
(+.f64 1 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) 1)))) |
(+.f64 1 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3)) |
(+.f64 1 (cos.f64 x)) |
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) 1))) |
(+.f64 1 (cos.f64 x)) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) 1))) |
(+.f64 1 (cos.f64 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
| ✓ | 0.3b | (*.f64 (sin.f64 x) (sin.f64 x)) |
| ✓ | 0.4b | (+.f64 1 (cos.f64 x)) |
| ✓ | 13.8b | (/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x)) |
Compiled 53 to 23 computations (56.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | 0 | (/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x)) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x)) |
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 1456× | associate-/r/ |
| 1274× | associate-/l/ |
| 790× | distribute-lft-in |
| 302× | add-sqr-sqrt |
| 292× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 88 |
| 1 | 290 | 56 |
| 2 | 4436 | 56 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x)) |
(+.f64 1 (cos.f64 x)) |
(*.f64 (sin.f64 x) (sin.f64 x)) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.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 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (neg.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x 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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 cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (pow.f64 (pow.f64 (sin.f64 x) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 1 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 1382× | associate-*r* |
| 1368× | associate-*l* |
| 1250× | associate-/r* |
| 1100× | associate-/l* |
| 794× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 688 | 10736 |
| 1 | 2148 | 10180 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) 1) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 -1 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x))))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1/2) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (*.f64 -1/2 (cos.f64 (+.f64 x x))))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1/2) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (neg.f64 (*.f64 1/2 (cos.f64 (+.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 (+.f64 1 (cos.f64 x))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (pow.f64 x -2) (pow.f64 (sin.f64 x) 2))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (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 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (+.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) x)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (/.f64 1 (+.f64 x (*.f64 x (cos.f64 x))))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 1 (*.f64 x (neg.f64 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 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (*.f64 (pow.f64 x -2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (+.f64 -1 (cos.f64 x))) |
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(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 1 (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 3)) (+.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x))))) (*.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x)))))) |
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 3)) (*.f64 1 (+.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x))))) (*.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 0) 3) (pow.f64 (cos.f64 (+.f64 x x)) 3)) (*.f64 2 (+.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x))) (*.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))))) |
(/.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) -2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (pow.f64 (sin.f64 x) 2) 1) |
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 3) |
(pow.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) 1/3) |
(sqrt.f64 (pow.f64 (sin.f64 x) 4)) |
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2)))) |
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) |
(exp.f64 (*.f64 2 (log.f64 (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 2)) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2))) |
(+.f64 1 (neg.f64 (cos.f64 x))) |
(+.f64 1 (*.f64 -1 (cos.f64 x))) |
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))) |
(+.f64 1 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x)))) |
(+.f64 1 (*.f64 1 (neg.f64 (cos.f64 x)))) |
(+.f64 1 (*.f64 1 (*.f64 -1 (cos.f64 x)))) |
(+.f64 1 (*.f64 1 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))) |
(+.f64 1 (*.f64 1 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x))))) |
(+.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))) |
(+.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (neg.f64 (cos.f64 x)) 1) |
(+.f64 (*.f64 -1 (cos.f64 x)) 1) |
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))) 1) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x))) 1) |
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(+.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 1/2) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 -1/2 (cos.f64 (+.f64 x x))))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 1/2) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (neg.f64 (*.f64 1/2 (cos.f64 (+.f64 x x)))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (neg.f64 (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 -1 (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) 1)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) 1) |
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 x)))) |
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) 1) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 1 (cos.f64 x)) 2)) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (*.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) 2))) |
(/.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) (sqrt.f64 2))) |
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) 2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -1) (-.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (/.f64 1 (+.f64 1 (cos.f64 x)))) 2) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 1 (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x)))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x))))) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 3)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x))))) (*.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 0) 3) (pow.f64 (cos.f64 (+.f64 x x)) 3)) (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x))) (*.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))))) |
(/.f64 (*.f64 -1 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 -1 (cos.f64 x)) 2)) |
(/.f64 (*.f64 -1 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (*.f64 1 (*.f64 (-.f64 -1 (cos.f64 x)) 2))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 1) (+.f64 2 (*.f64 2 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 1) (*.f64 1 (+.f64 2 (*.f64 2 (cos.f64 x))))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) -1) (*.f64 2 (-.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) -1) (*.f64 1 (*.f64 2 (-.f64 -1 (cos.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (*.f64 (+.f64 1 (cos.f64 x)) -2)) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (pow.f64 (pow.f64 (sin.f64 x) 2) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)))) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3))) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(exp.f64 (log.f64 (-.f64 1 (cos.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 1 (cos.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (*.f64 (*.f64 -1/24 x) x)) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.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)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x)))) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 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 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.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 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.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 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.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 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.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 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
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(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 -1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))) |
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x))))) |
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x)) 1) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) |
(*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) 1)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) |
(*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) 1) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)) |
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (sin.f64 x) (*.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (-.f64 1 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x)))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 1 (cos.f64 x)) 2)) |
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (*.f64 2 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x)))) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (*.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) 2))) |
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (*.f64 2 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x)))) |
(/.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) (sqrt.f64 2))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 2)) (sin.f64 x))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) (*.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) (sqrt.f64 2))) |
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) 2) |
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (*.f64 2 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -1) (-.f64 -1 (cos.f64 x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (/.f64 1 (+.f64 1 (cos.f64 x)))) 2) |
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (*.f64 2 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x)))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) 2)) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (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 (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (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 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.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)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x))))) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x))))) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1/4 (*.f64 (cos.f64 (+.f64 x x)) (*.f64 (cos.f64 (+.f64 x x)) 1/4))) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x)))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (*.f64 2 (cos.f64 (+.f64 x x)))))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x)))) 2) (+.f64 1 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x x)))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4))))) |
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 3)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x))))) (*.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))))) |
(/.f64 (/.f64 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (+.f64 x x)) 3))) (+.f64 1 (cos.f64 x))) (+.f64 1/4 (+.f64 (*.f64 1/4 (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x)))) (*.f64 1/4 (cos.f64 (+.f64 x x)))))) |
(/.f64 (/.f64 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (+.f64 x x)) 3))) (+.f64 1 (cos.f64 x))) (+.f64 1/4 (+.f64 (*.f64 (cos.f64 (+.f64 x x)) (*.f64 (cos.f64 (+.f64 x x)) 1/4)) (*.f64 (cos.f64 (+.f64 x x)) 1/4)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 0) 3) (pow.f64 (cos.f64 (+.f64 x x)) 3)) (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x))) (*.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 (+.f64 x x)) 3)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (*.f64 2 (*.f64 (cos.f64 (+.f64 x x)) (+.f64 1 (cos.f64 (+.f64 x x)))))))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 (+.f64 x x)) 3)) 2) (+.f64 1 (cos.f64 x))) (+.f64 1 (*.f64 (cos.f64 (+.f64 x x)) (+.f64 1 (cos.f64 (+.f64 x x)))))) |
(/.f64 (*.f64 -1 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 -1 (cos.f64 x)) 2)) |
(/.f64 (neg.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) (*.f64 2 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 -1/2 (-.f64 -1 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x)))) |
(/.f64 (*.f64 -1 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (*.f64 1 (*.f64 (-.f64 -1 (cos.f64 x)) 2))) |
(/.f64 (neg.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) (*.f64 2 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 -1/2 (-.f64 -1 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 1) (+.f64 2 (*.f64 2 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (+.f64 2 (*.f64 2 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 1) (*.f64 1 (+.f64 2 (*.f64 2 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (+.f64 2 (*.f64 2 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) -1) (*.f64 2 (-.f64 -1 (cos.f64 x)))) |
(/.f64 (neg.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) (*.f64 2 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 -1/2 (-.f64 -1 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) -1) (*.f64 1 (*.f64 2 (-.f64 -1 (cos.f64 x))))) |
(/.f64 (neg.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) (*.f64 2 (-.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 -1/2 (-.f64 -1 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (*.f64 (+.f64 1 (cos.f64 x)) -2)) |
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (*.f64 2 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x)))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(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)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(-.f64 1 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(-.f64 1 (cos.f64 x)) |
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (pow.f64 (pow.f64 (sin.f64 x) 2) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)))) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)))) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)))) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(exp.f64 (log.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(exp.f64 (*.f64 (log.f64 (-.f64 1 (cos.f64 x))) 1)) |
(-.f64 1 (cos.f64 x)) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
Compiled 23852 to 13677 computations (42.7% saved)
20 alts after pruning (17 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1153 | 13 | 1166 |
| Fresh | 10 | 4 | 14 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 1166 | 20 | 1186 |
| Status | Error | Program |
|---|---|---|
| 30.4b | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) | |
| 31.0b | (/.f64 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (+.f64 2 (*.f64 2 (cos.f64 x)))) (*.f64 x x)) | |
| ▶ | 28.0b | (/.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (*.f64 x x)) |
| 30.9b | (/.f64 (/.f64 1 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 2)) (*.f64 x x)) | |
| 46.0b | (/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) | |
| 26.6b | (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) | |
| ✓ | 30.9b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 30.3b | (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) x) | |
| ✓ | 14.2b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 30.7b | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| ✓ | 32.3b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| ▶ | 30.7b | (*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (+.f64 (cos.f64 x) -1))) -1) |
| 30.3b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) | |
| 14.3b | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) | |
| ▶ | 14.2b | (*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (*.f64 x 1/2))) |
| 45.5b | (*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) | |
| ▶ | 31.5b | (*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) |
| 30.9b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) | |
| ▶ | 30.3b | (neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x))) |
| 31.4b | 1/2 |
Compiled 437 to 302 computations (30.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (*.f64 x 1/2))) |
| ✓ | 0.3b | (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) |
| ✓ | 13.0b | (/.f64 (*.f64 x x) (sin.f64 x)) |
Compiled 43 to 19 computations (55.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (*.f64 x x) (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 x x) (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 x x) (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (*.f64 x 1/2))) |
| 1× | batch-egg-rewrite |
| 1520× | associate-/l* |
| 882× | associate-/r/ |
| 844× | swap-sqr |
| 346× | associate-/l/ |
| 322× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 73 |
| 1 | 269 | 67 |
| 2 | 3462 | 67 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x x) (sin.f64 x)) |
(/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (*.f64 x 1/2))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1228× | distribute-rgt-in |
| 1226× | distribute-lft-in |
| 674× | associate-/l* |
| 560× | *-commutative |
| 504× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 463 | 6887 |
| 1 | 1228 | 6773 |
| 2 | 5080 | 6773 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 7/360 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 7/360 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 31/15120 (pow.f64 x 7)) x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 1 x) |
(+.f64 (*.f64 -1/6 x) (/.f64 1 x)) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (/.f64 1 x))) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 x) (/.f64 1 x)))) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x (sin.f64 x))))) 1) |
(*.f64 x (*.f64 x (/.f64 1 (sin.f64 x)))) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(*.f64 (*.f64 x x) (/.f64 1 (sin.f64 x))) |
(*.f64 (*.f64 x x) (neg.f64 (/.f64 -1 (sin.f64 x)))) |
(*.f64 (*.f64 x (/.f64 x (sin.f64 x))) 1) |
(*.f64 1 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 (sin.f64 x))))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (*.f64 x (/.f64 x (sin.f64 x))))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x (/.f64 x (sin.f64 x))))))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 x x)) |
(*.f64 -1 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x)))) |
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 -1 (sin.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x)))) (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x))))) (neg.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 x (/.f64 (cbrt.f64 (sin.f64 x)) x))) |
(*.f64 (/.f64 x (/.f64 1 x)) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 x (sin.f64 x)) x) |
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (neg.f64 x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) (neg.f64 (cbrt.f64 (*.f64 x (/.f64 x (sin.f64 x)))))) |
(*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 x (neg.f64 x))) |
(*.f64 (/.f64 x 1) (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (*.f64 x x)) (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (*.f64 x (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) 1) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x)) (cbrt.f64 (*.f64 x x))) |
(*.f64 (/.f64 x (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))) 1) (cbrt.f64 (*.f64 x (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) x)) (sqrt.f64 x)) |
(*.f64 (/.f64 x (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(*.f64 (/.f64 x (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (*.f64 x x))) |
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))))) (cbrt.f64 (*.f64 x (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))) -1) (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (sin.f64 x) x)) (cbrt.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x))))) (sqrt.f64 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x)))) (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x)))))) (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x))))) |
(*.f64 (neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 (sin.f64 x)))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))))) (cbrt.f64 (*.f64 x (/.f64 x (sin.f64 x))))) |
(pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) 1) |
(pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) -1) |
(pow.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (sin.f64 x)))) 3) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) 3) 1/3) |
(neg.f64 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x)))) |
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))) |
(log.f64 (exp.f64 (*.f64 x (/.f64 x (sin.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x (sin.f64 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 x (sin.f64 x))))) |
(exp.f64 (log.f64 (*.f64 x (/.f64 x (sin.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x (sin.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 x (sin.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))) 1) |
(*.f64 (sin.f64 x) (pow.f64 x -2)) |
(*.f64 1 (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 1) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))) |
(*.f64 (pow.f64 x -2) (sin.f64 x)) |
(*.f64 (pow.f64 x -2) (pow.f64 (/.f64 1 (sin.f64 x)) -1)) |
(*.f64 -1 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 x -2)))) |
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) x) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) x))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 x) x))) |
(*.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 x -2))) -1) |
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) -1) (pow.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))) -1) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (sin.f64 x)))) -1)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 x x)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) x))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) x) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) 1) (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 x -2) -1) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 -1 (neg.f64 x)) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) 1) (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 x)) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) -1) |
(pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3) 1/3) |
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 x -2)))) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) -2)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (sin.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))) |
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (*.f64 -2 (log.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x (sin.f64 x)))) -1)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))))) 1) |
(/.f64 1 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))) |
(/.f64 1 (/.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 1 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 1 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 x (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x)))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 x (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x))))) |
(/.f64 -1 (/.f64 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x))) (tan.f64 (*.f64 x 1/2)))) |
(/.f64 -1 (/.f64 (*.f64 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x))) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (/.f64 1 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x)))) 1)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x)))) -1)) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 (/.f64 x (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (/.f64 (/.f64 x (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (/.f64 1 (sin.f64 x))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) x)) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (*.f64 x (/.f64 x (sin.f64 x))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -1) (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x))) (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 (tan.f64 (*.f64 x 1/2))) (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x)))) |
(pow.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))) 1) |
(pow.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))) 3) 1/3) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x))))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 x))) (sin.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))) 2)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (log.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x) |
(fma.f64 1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 7/360 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x)) |
(fma.f64 7/360 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) x)) |
(+.f64 (*.f64 7/360 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 31/15120 (pow.f64 x 7)) x))) |
(fma.f64 7/360 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 31/15120 (pow.f64 x 7) x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 1 x) |
(+.f64 (*.f64 -1/6 x) (/.f64 1 x)) |
(fma.f64 -1/6 x (/.f64 1 x)) |
(fma.f64 x -1/6 (/.f64 1 x)) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (/.f64 1 x))) |
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 -1/6 x (/.f64 1 x))) |
(fma.f64 (pow.f64 x 3) 1/120 (fma.f64 x -1/6 (/.f64 1 x))) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 x) (/.f64 1 x)))) |
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 5) (fma.f64 -1/6 x (/.f64 1 x)))) |
(fma.f64 (pow.f64 x 3) 1/120 (fma.f64 (pow.f64 x 5) -1/5040 (fma.f64 x -1/6 (/.f64 1 x)))) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (sin.f64 x) (pow.f64 x -2)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (sin.f64 x) (pow.f64 x -2)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (sin.f64 x) (pow.f64 x -2)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (sin.f64 x) (pow.f64 x -2)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (sin.f64 x) (pow.f64 x -2)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (sin.f64 x) (pow.f64 x -2)) |
(/.f64 (sin.f64 x) (pow.f64 x 2)) |
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(*.f64 (sin.f64 x) (pow.f64 x -2)) |
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(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (sin.f64 x) (pow.f64 x -2)) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
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(fma.f64 -1/24 (*.f64 x x) 1/2) |
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(+.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))))) |
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(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (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) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (pow.f64 x -2)) |
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(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (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) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (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) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (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) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (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) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (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) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x (sin.f64 x))))) 1) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(*.f64 x (*.f64 x (/.f64 1 (sin.f64 x)))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 (*.f64 x x) (/.f64 1 (sin.f64 x))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(*.f64 (*.f64 x x) (neg.f64 (/.f64 -1 (sin.f64 x)))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(*.f64 (*.f64 x (/.f64 x (sin.f64 x))) 1) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(*.f64 1 (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 (sin.f64 x))))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (*.f64 x (/.f64 x (sin.f64 x))))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x (/.f64 x (sin.f64 x))))))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) 1) (sin.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) (sin.f64 x))) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(*.f64 -1 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x)))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 -1 (sin.f64 x))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x)))))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x)))) (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x))))) (neg.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) (neg.f64 x)))))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 x (/.f64 (cbrt.f64 (sin.f64 x)) x))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 x (cbrt.f64 (sin.f64 x))) x)) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 x (/.f64 1 x)) (/.f64 1 (sin.f64 x))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 x (sin.f64 x)) x) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
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(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)))) |
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(/.f64 (*.f64 x x) (sin.f64 x)) |
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(*.f64 (/.f64 x 1) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (*.f64 x x)) (sin.f64 x))) |
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(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 x))) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))) 3)) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (/.f64 (*.f64 x x) (sin.f64 x)) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (/.f64 (pow.f64 x 6) (pow.f64 (sin.f64 x) 3)))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(exp.f64 (log.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2)))) 1)) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) |
Compiled 23 to 9 computations (60.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) |
| 1× | batch-egg-rewrite |
| 1240× | add-sqr-sqrt |
| 1216× | *-un-lft-identity |
| 1146× | add-cube-cbrt |
| 1134× | add-cbrt-cube |
| 1120× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 198 | 1 |
| 2 | 1854 | 1 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x . 1/2))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 13 |
| 1× | saturated |
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
| Outputs |
|---|
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)) |
| ✓ | 0.1b | (/.f64 (-.f64 1 (cos.f64 x)) x) |
| 1.4b | (-.f64 1 (cos.f64 x)) |
Compiled 36 to 18 computations (50% 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 | @ | inf | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 (cos.f64 x)) x) |
| 1× | batch-egg-rewrite |
| 990× | associate-/r/ |
| 986× | *-commutative |
| 836× | associate-/l/ |
| 600× | swap-sqr |
| 430× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 1 | 217 | 40 |
| 2 | 3275 | 40 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 1 x)) (/.f64 (cos.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) -1) (*.f64 (/.f64 (cos.f64 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (/.f64 1 x)) (/.f64 (cos.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule 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(cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2)) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2)) (neg.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (neg.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (neg.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.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) 1))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)) (neg.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 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(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))))) |
| 1× | egg-herbie |
| 724× | associate-/l* |
| 720× | associate-*l* |
| 712× | associate-+r+ |
| 680× | associate-*r* |
| 652× | associate-*r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 444 | 7232 |
| 1 | 1384 | 6392 |
| 2 | 6146 | 6372 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
-1/2 |
(-.f64 (*.f64 1/24 (pow.f64 x 2)) 1/2) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (*.f64 1/24 (pow.f64 x 2))) 1/2) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/40320 (pow.f64 x 6)))) 1/2) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(+.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) |
(+.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x)) |
(+.f64 (-.f64 0 (/.f64 1 x)) (/.f64 (cos.f64 x) x)) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))) 1) |
(+.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x)) |
(+.f64 (*.f64 (/.f64 1 x) -1) (*.f64 (/.f64 (cos.f64 x) x) -1)) |
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) 1) |
(-.f64 (-.f64 0 (/.f64 1 x)) (/.f64 (cos.f64 x) x)) |
(*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x)) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 1) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) -1) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (neg.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (neg.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))) |
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 1 x)) |
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 x) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1)) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 x)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2)) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2)) (neg.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (neg.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) 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))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (/.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)) |
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(*.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x)) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x)) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) 2)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (cbrt.f64 x))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) 1)) (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x)) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (sqrt.f64 x))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) -1)) (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x)) |
(pow.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) 1) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) 3) 1/3) |
(pow.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x)) -1) |
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) 2)) |
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))) |
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/720 (pow.f64 x 5) (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 1/720 (pow.f64 x 5) (*.f64 -1/40320 (pow.f64 x 7))))) |
-1/2 |
(-.f64 (*.f64 1/24 (pow.f64 x 2)) 1/2) |
(fma.f64 1/24 (*.f64 x x) -1/2) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (*.f64 1/24 (pow.f64 x 2))) 1/2) |
(+.f64 (*.f64 -1/720 (pow.f64 x 4)) (fma.f64 1/24 (*.f64 x x) -1/2)) |
(fma.f64 -1/720 (pow.f64 x 4) (fma.f64 1/24 (*.f64 x x) -1/2)) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/40320 (pow.f64 x 6)))) 1/2) |
(+.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 1/24 (*.f64 x x) (*.f64 1/40320 (pow.f64 x 6)))) -1/2) |
(fma.f64 -1/720 (pow.f64 x 4) (+.f64 (*.f64 1/40320 (pow.f64 x 6)) (fma.f64 1/24 (*.f64 x x) -1/2))) |
(+.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 1/24 (*.f64 x x) -1/2)) (*.f64 1/40320 (pow.f64 x 6))) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
(/.f64 (+.f64 1 (cos.f64 x)) x) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
(/.f64 (+.f64 1 (cos.f64 x)) x) |
(+.f64 (-.f64 0 (/.f64 1 x)) (/.f64 (cos.f64 x) x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))) 1) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x)) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (*.f64 (/.f64 1 x) -1) (*.f64 (/.f64 (cos.f64 x) x) -1)) |
(+.f64 (/.f64 -1 x) (*.f64 -1 (/.f64 (cos.f64 x) x))) |
(neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) |
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) 1) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(-.f64 (-.f64 0 (/.f64 1 x)) (/.f64 (cos.f64 x) x)) |
(+.f64 (/.f64 -1 x) (*.f64 -1 (/.f64 (cos.f64 x) x))) |
(neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) |
(*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x)) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 1) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) -1) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))))) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2)) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (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 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (neg.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))))) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (neg.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
(/.f64 (+.f64 1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 1 x) (+.f64 1 (cos.f64 x))) |
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
(/.f64 (+.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1)) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2)) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2)) (neg.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2)) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (neg.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x))) |
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(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) x) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 -1 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 -1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2))) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 x))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (sqrt.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x)))) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 (/.f64 1 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) x) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x)) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x)) |
(neg.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x) 2)) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) 1)) (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) 2)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) -1)) (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x)) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) 1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x) 2) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) 3) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) 3) 1/3) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x)) -1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) 2)) |
(fabs.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) 3)) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 3) (pow.f64 x 3))) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
| ✓ | 0.3b | (/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) |
| ✓ | 0.4b | (/.f64 2 (*.f64 x x)) |
| ✓ | 13.5b | (/.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (*.f64 x x)) |
Compiled 65 to 35 computations (46.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.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 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) |
| 1× | batch-egg-rewrite |
| 1248× | associate-/l* |
| 658× | distribute-rgt-in |
| 626× | distribute-lft-in |
| 526× | associate-/l/ |
| 408× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 136 |
| 1 | 308 | 118 |
| 2 | 3957 | 118 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (*.f64 x x)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) |
(fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) (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 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (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 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2) x) (/.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2) (*.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (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 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2) (/.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) 2) (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 1 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 (*.f64 x (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (/.f64 -1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2) (*.f64 x x)) 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| 1× | egg-herbie |
| 818× | distribute-lft-neg-out |
| 688× | distribute-rgt-neg-out |
| 616× | associate-*r* |
| 524× | associate-*l* |
| 490× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 446 | 9362 |
| 1 | 1138 | 8918 |
| 2 | 4994 | 8918 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 1/17280 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 120 (pow.f64 x 4)) |
(-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(-.f64 (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4)))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(-.f64 (+.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 10))) (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4))))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(/.f64 120 (pow.f64 x 4)) |
(-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(-.f64 (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4)))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(-.f64 (+.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 10))) (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4))))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(/.f64 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 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/17280 (pow.f64 x 8)) (*.f64 1/720 (pow.f64 x 6))))) |
(/.f64 120 (pow.f64 x 2)) |
(-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 2))) (*.f64 2400 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 6))) (*.f64 120 (/.f64 1 (pow.f64 x 2)))) (*.f64 2400 (/.f64 1 (pow.f64 x 4)))) |
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(/.f64 120 (pow.f64 x 2)) |
(-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 2))) (*.f64 2400 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 6))) (*.f64 120 (/.f64 1 (pow.f64 x 2)))) (*.f64 2400 (/.f64 1 (pow.f64 x 4)))) |
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(/.f64 2 (pow.f64 x 2)) |
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(*.f64 1/120 (pow.f64 x 2)) |
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(*.f64 1/120 (pow.f64 x 2)) |
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -2)) (*.f64 x x)) (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) |
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(*.f64 (/.f64 (pow.f64 x -2) 1) (/.f64 1 (fma.f64 1/120 (*.f64 x x) (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 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) |
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(pow.f64 (/.f64 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 1) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) 3) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 3) 1/3) |
(pow.f64 (*.f64 x (*.f64 x (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) -1) |
(neg.f64 (/.f64 -1 (*.f64 x (*.f64 x (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))) |
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))) |
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(exp.f64 (log.f64 (/.f64 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x -2) (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) 1)) |
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 2 x) x))) 1) |
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(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 2 x) x) 1) |
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x)) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 2 x) x)) (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 (/.f64 2 x) x))) |
(*.f64 (/.f64 2 x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) 2) |
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(*.f64 (/.f64 1 (neg.f64 (*.f64 x x))) -2) |
(pow.f64 (/.f64 (/.f64 2 x) x) 1) |
(pow.f64 (/.f64 (sqrt.f64 2) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 2 x) x)) 3) |
(pow.f64 (*.f64 (*.f64 x x) 1/2) -1) |
(pow.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) 1/3) |
(sqrt.f64 (/.f64 4 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2))) |
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(cbrt.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3))) |
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(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) 3))) |
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(exp.f64 (neg.f64 (log.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) |
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(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(+.f64 1/6 (+.f64 (/.f64 (/.f64 2 x) x) (*.f64 1/120 (*.f64 x x)))) |
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 1/6 (*.f64 1/120 (*.f64 x x)))) |
(+.f64 (fma.f64 2 (pow.f64 x -2) 1/6) (*.f64 1/120 (*.f64 x x))) |
(+.f64 (fma.f64 2 (pow.f64 x -2) 1/6) (*.f64 (*.f64 1/120 (*.f64 x x)) 1)) |
(+.f64 (*.f64 1/120 (*.f64 x x)) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(+.f64 (+.f64 1/6 (*.f64 1/120 (*.f64 x x))) (/.f64 (/.f64 2 x) x)) |
(+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (*.f64 1/120 (*.f64 x x))) 1/6) |
(+.f64 (*.f64 (*.f64 1/120 (*.f64 x x)) 1) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(+.f64 (+.f64 (*.f64 (*.f64 1/120 (*.f64 x x)) 1) 1/6) (/.f64 (/.f64 2 x) x)) |
(+.f64 (+.f64 (*.f64 (*.f64 1/120 (*.f64 x x)) 1) (/.f64 (/.f64 2 x) x)) 1/6) |
(+.f64 (*.f64 1 (+.f64 1/6 (*.f64 1/120 (*.f64 x x)))) (/.f64 (/.f64 2 x) x)) |
(+.f64 (*.f64 1 (*.f64 (*.f64 1/120 (*.f64 x x)) 1)) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(+.f64 (*.f64 (+.f64 1/6 (*.f64 1/120 (*.f64 x x))) 1) (/.f64 (/.f64 2 x) x)) |
(+.f64 (*.f64 (+.f64 (/.f64 (/.f64 2 x) x) (*.f64 1/120 (*.f64 x x))) 1) 1/6) |
(+.f64 (*.f64 (*.f64 (*.f64 1/120 (*.f64 x x)) 1) 1) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (-.f64 1 (*.f64 1/120 (*.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) 1) |
(-.f64 (/.f64 1/36 (-.f64 1/6 (/.f64 (/.f64 2 x) x))) (-.f64 (/.f64 4 (*.f64 (-.f64 1/6 (/.f64 (/.f64 2 x) x)) (pow.f64 x 4))) (*.f64 1/120 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1/120 (*.f64 x x)) (exp.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) 1) |
(-.f64 (+.f64 (*.f64 1/120 (*.f64 x x)) (/.f64 1/36 (-.f64 1/6 (/.f64 (/.f64 2 x) x)))) (/.f64 4 (*.f64 (-.f64 1/6 (/.f64 (/.f64 2 x) x)) (pow.f64 x 4)))) |
(-.f64 (+.f64 (+.f64 1/6 (*.f64 1/120 (*.f64 x x))) (exp.f64 (log1p.f64 (/.f64 (/.f64 2 x) x)))) 1) |
(-.f64 (+.f64 (*.f64 (*.f64 1/120 (*.f64 x x)) 1) (exp.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) 1) |
(-.f64 (+.f64 (*.f64 (*.f64 1/120 (*.f64 x x)) 1) (/.f64 1/36 (-.f64 1/6 (/.f64 (/.f64 2 x) x)))) (/.f64 4 (*.f64 (-.f64 1/6 (/.f64 (/.f64 2 x) x)) (pow.f64 x 4)))) |
(*.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) |
(*.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) 1) |
(*.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) (sqrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 2) (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 -1 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) (neg.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 2)) (neg.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 2))) (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 1) (sqrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 2) 1) (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 2) -1) (cbrt.f64 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) (sqrt.f64 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) (cbrt.f64 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))) (cbrt.f64 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) (sqrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 2))) (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(/.f64 1 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(/.f64 1 (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 2))) |
(/.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) 1) |
(/.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2)) |
(/.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))) |
(/.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 2))) |
(/.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2) (cbrt.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))) |
(/.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 2) (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 2) (/.f64 -1 (neg.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))) |
(/.f64 -1 (/.f64 -1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(/.f64 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) -1) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 2)) (/.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2) (sqrt.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 2)) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 2)))) |
(/.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) (/.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2) (sqrt.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) (/.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 2))) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) (cbrt.f64 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) (/.f64 -1 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 2)) (/.f64 -1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/120 (*.f64 x x)) (*.f64 1/120 (*.f64 x x))) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 2)) (-.f64 (*.f64 1/120 (*.f64 x x)) (fma.f64 2 (pow.f64 x -2) 1/6))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3) (pow.f64 (*.f64 1/120 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 1/120 (*.f64 x x)) (*.f64 1/120 (*.f64 x x))) (*.f64 (fma.f64 2 (pow.f64 x -2) 1/6) (-.f64 (fma.f64 2 (pow.f64 x -2) 1/6) (*.f64 1/120 (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3) (pow.f64 (*.f64 1/120 (*.f64 x x)) 3)) (*.f64 1 (+.f64 (*.f64 (*.f64 1/120 (*.f64 x x)) (*.f64 1/120 (*.f64 x x))) (*.f64 (fma.f64 2 (pow.f64 x -2) 1/6) (-.f64 (fma.f64 2 (pow.f64 x -2) 1/6) (*.f64 1/120 (*.f64 x x))))))) |
(pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 3) |
(pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) 3) 1/3) |
(neg.f64 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(sqrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) |
(log.f64 (exp.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(cbrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(exp.f64 (log.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 1/120 (*.f64 x x) (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 1/720 (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 1/17280 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/17280 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 1/17280 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 1/17280 (pow.f64 x 6)))) |
(/.f64 120 (pow.f64 x 4)) |
(-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(-.f64 (/.f64 120 (pow.f64 x 4)) (/.f64 2400 (pow.f64 x 6))) |
(+.f64 (/.f64 120 (pow.f64 x 4)) (/.f64 -2400 (pow.f64 x 6))) |
(-.f64 (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4)))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(+.f64 (/.f64 19200 (pow.f64 x 8)) (-.f64 (/.f64 120 (pow.f64 x 4)) (/.f64 2400 (pow.f64 x 6)))) |
(+.f64 (/.f64 120 (pow.f64 x 4)) (+.f64 (/.f64 19200 (pow.f64 x 8)) (/.f64 -2400 (pow.f64 x 6)))) |
(-.f64 (+.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 10))) (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4))))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(+.f64 (/.f64 192000 (pow.f64 x 10)) (+.f64 (/.f64 19200 (pow.f64 x 8)) (-.f64 (/.f64 120 (pow.f64 x 4)) (/.f64 2400 (pow.f64 x 6))))) |
(+.f64 (+.f64 (/.f64 120 (pow.f64 x 4)) (/.f64 19200 (pow.f64 x 8))) (-.f64 (/.f64 192000 (pow.f64 x 10)) (/.f64 2400 (pow.f64 x 6)))) |
(+.f64 (/.f64 120 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 19200 (pow.f64 x 8)) (/.f64 192000 (pow.f64 x 10))) (/.f64 -2400 (pow.f64 x 6)))) |
(/.f64 120 (pow.f64 x 4)) |
(-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(-.f64 (/.f64 120 (pow.f64 x 4)) (/.f64 2400 (pow.f64 x 6))) |
(+.f64 (/.f64 120 (pow.f64 x 4)) (/.f64 -2400 (pow.f64 x 6))) |
(-.f64 (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4)))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(+.f64 (/.f64 19200 (pow.f64 x 8)) (-.f64 (/.f64 120 (pow.f64 x 4)) (/.f64 2400 (pow.f64 x 6)))) |
(+.f64 (/.f64 120 (pow.f64 x 4)) (+.f64 (/.f64 19200 (pow.f64 x 8)) (/.f64 -2400 (pow.f64 x 6)))) |
(-.f64 (+.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 10))) (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4))))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) |
(+.f64 (/.f64 192000 (pow.f64 x 10)) (+.f64 (/.f64 19200 (pow.f64 x 8)) (-.f64 (/.f64 120 (pow.f64 x 4)) (/.f64 2400 (pow.f64 x 6))))) |
(+.f64 (+.f64 (/.f64 120 (pow.f64 x 4)) (/.f64 19200 (pow.f64 x 8))) (-.f64 (/.f64 192000 (pow.f64 x 10)) (/.f64 2400 (pow.f64 x 6)))) |
(+.f64 (/.f64 120 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 19200 (pow.f64 x 8)) (/.f64 192000 (pow.f64 x 10))) (/.f64 -2400 (pow.f64 x 6)))) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
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(/.f64 (fma.f64 1/1728000 (pow.f64 x 6) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3)) (fma.f64 (fma.f64 2 (pow.f64 x -2) 1/6) (+.f64 (fma.f64 2 (pow.f64 x -2) 1/6) (*.f64 (*.f64 x x) -1/120)) (*.f64 (pow.f64 x 4) 1/14400))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3) (pow.f64 (*.f64 1/120 (*.f64 x x)) 3)) (*.f64 1 (+.f64 (*.f64 (*.f64 1/120 (*.f64 x x)) (*.f64 1/120 (*.f64 x x))) (*.f64 (fma.f64 2 (pow.f64 x -2) 1/6) (-.f64 (fma.f64 2 (pow.f64 x -2) 1/6) (*.f64 1/120 (*.f64 x x))))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3) (*.f64 1/1728000 (pow.f64 x 6))) (+.f64 (*.f64 1/14400 (pow.f64 x 4)) (*.f64 (fma.f64 2 (pow.f64 x -2) 1/6) (+.f64 (fma.f64 2 (pow.f64 x -2) 1/6) (*.f64 -1/120 (*.f64 x x)))))) |
(/.f64 (fma.f64 1/1728000 (pow.f64 x 6) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3)) (fma.f64 (fma.f64 2 (pow.f64 x -2) 1/6) (+.f64 (fma.f64 2 (pow.f64 x -2) 1/6) (*.f64 (*.f64 x x) -1/120)) (*.f64 (pow.f64 x 4) 1/14400))) |
(pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) 1) |
(+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6)) |
(fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(pow.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 2) |
(+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6)) |
(fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 3) |
(+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6)) |
(fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) 3) 1/3) |
(+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6)) |
(fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(neg.f64 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6)) |
(fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(sqrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) |
(fabs.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) |
(log.f64 (exp.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6)) |
(fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6)) |
(fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(cbrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) 3)) |
(+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6)) |
(fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(expm1.f64 (log1p.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6)) |
(fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(exp.f64 (log.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6)) |
(fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 1)) |
(+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6)) |
(fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(log1p.f64 (expm1.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6)) |
(fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 1 (+.f64 (cos.f64 x) -1)) |
| ✓ | 1.4b | (+.f64 (cos.f64 x) -1) |
| ✓ | 13.9b | (/.f64 (pow.f64 x -2) (/.f64 1 (+.f64 (cos.f64 x) -1))) |
Compiled 42 to 29 computations (31% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 (cos.f64 x) -1)) |
| 0.0ms | x | @ | 0 | (/.f64 (pow.f64 x -2) (/.f64 1 (+.f64 (cos.f64 x) -1))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (+.f64 (cos.f64 x) -1)) |
| 0.0ms | x | @ | inf | (/.f64 (pow.f64 x -2) (/.f64 1 (+.f64 (cos.f64 x) -1))) |
| 0.0ms | x | @ | -inf | (/.f64 (pow.f64 x -2) (/.f64 1 (+.f64 (cos.f64 x) -1))) |
| 1× | batch-egg-rewrite |
| 1456× | associate-*r/ |
| 1026× | *-commutative |
| 990× | associate-/r* |
| 952× | associate-*l/ |
| 772× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 57 |
| 1 | 257 | 51 |
| 2 | 3205 | 51 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 x -2) (/.f64 1 (+.f64 (cos.f64 x) -1))) |
(+.f64 (cos.f64 x) -1) |
(/.f64 1 (+.f64 (cos.f64 x) -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x -2)) (/.f64 (cos.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x -2)) (*.f64 1 (/.f64 (cos.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x -2)) (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 (cos.f64 x) (*.f64 x x))) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (cos.f64 x))) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.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 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (cos.f64 x) (*.f64 x x)) 0) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (neg.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (*.f64 (pow.f64 x -2) (sqrt.f64 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -4)) (*.f64 (+.f64 (cos.f64 x) -1) (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))) (/.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))) 2) (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (*.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) (cbrt.f64 (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 x -4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2))) (*.f64 (pow.f64 x -2) (cbrt.f64 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (+.f64 (cos.f64 x) -1))) (sqrt.f64 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2))) (cbrt.f64 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (+.f64 (cos.f64 x) -1))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2))) (*.f64 (/.f64 1 x) (cbrt.f64 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (+.f64 (cos.f64 x) -1))) (/.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -4)) 1) (*.f64 (+.f64 (cos.f64 x) -1) (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -4)) (pow.f64 (+.f64 (cos.f64 x) -1) -1/2)) (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (+.f64 (cos.f64 x) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (+.f64 (cos.f64 x) -1) -1/2)) (/.f64 (cbrt.f64 (pow.f64 x -4)) (pow.f64 (+.f64 (cos.f64 x) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2))) (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2))) 1) (cbrt.f64 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -4)) (/.f64 1 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -1 (*.f64 (cbrt.f64 (pow.f64 x -4)) (-.f64 1 (cos.f64 x))))) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (+.f64 (cos.f64 x) -1))) (sqrt.f64 -1)) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2))) -1) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (cos.f64 x) -1)) (fma.f64 (cos.f64 x) (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (cos.f64 x) -1)) (-.f64 (pow.f64 (cos.f64 x) 3) -1)) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -2) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (-.f64 1 (*.f64 (cos.f64 x) -1)) (-.f64 1 (*.f64 (cos.f64 x) -1))))) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1) (*.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -2) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3) (pow.f64 (-.f64 1 (*.f64 (cos.f64 x) -1)) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (-.f64 1 (*.f64 (cos.f64 x) -1)) (-.f64 1 (*.f64 (cos.f64 x) -1)))) (*.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (*.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (+.f64 (cos.f64 x) -1)))))) 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x) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -1/2) (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1))) (sqrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2)) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2)) (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1))) (cbrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3) 1)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 x) -1) -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 (pow.f64 (+.f64 (cos.f64 x) -1) -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 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 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 (/.f64 1 (pow.f64 (+.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 (log.f64 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))))))) |
| 1× | egg-herbie |
| 1098× | associate-+r+ |
| 1010× | associate-+l+ |
| 680× | associate-*r* |
| 632× | +-commutative |
| 604× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 586 | 9919 |
| 1 | 1555 | 9539 |
| 2 | 6729 | 9539 |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(-.f64 (*.f64 1/24 (pow.f64 x 2)) 1/2) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (*.f64 1/24 (pow.f64 x 2))) 1/2) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/40320 (pow.f64 x 6)))) 1/2) |
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)) |
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)) |
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)) |
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)) |
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)) |
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)) |
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)) |
(/.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 -2 (pow.f64 x 2)) |
(neg.f64 (+.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 (*.f64 -1/3024 (pow.f64 x 4)) (*.f64 -1/120 (pow.f64 x 2))) (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 1 (-.f64 (cos.f64 x) 1)) |
(/.f64 1 (-.f64 (cos.f64 x) 1)) |
(/.f64 1 (-.f64 (cos.f64 x) 1)) |
(/.f64 1 (-.f64 (cos.f64 x) 1)) |
(/.f64 1 (-.f64 (cos.f64 x) 1)) |
(/.f64 1 (-.f64 (cos.f64 x) 1)) |
(/.f64 1 (-.f64 (cos.f64 x) 1)) |
(/.f64 1 (-.f64 (cos.f64 x) 1)) |
(+.f64 (neg.f64 (pow.f64 x -2)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(+.f64 (neg.f64 (pow.f64 x -2)) (*.f64 1 (/.f64 (cos.f64 x) (*.f64 x x)))) |
(+.f64 (neg.f64 (pow.f64 x -2)) (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (cos.f64 x)))) |
(+.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (neg.f64 (pow.f64 x -2))) |
(+.f64 (*.f64 1 (/.f64 (cos.f64 x) (*.f64 x x))) (neg.f64 (pow.f64 x -2))) |
(+.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (cos.f64 x))) (neg.f64 (pow.f64 x -2))) |
(-.f64 0 (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)))) 1) |
(-.f64 (+.f64 (/.f64 (cos.f64 x) (*.f64 x x)) 0) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) |
(*.f64 (pow.f64 x -2) (neg.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 1 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))) |
(*.f64 -1 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) |
(*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2)) |
(*.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) 1) |
(*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x)) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (*.f64 (pow.f64 x -2) (sqrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (cbrt.f64 (pow.f64 x -4)) (*.f64 (+.f64 (cos.f64 x) -1) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))) (/.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))) 2) (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)))) |
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (*.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (pow.f64 x -2))) |
(*.f64 (neg.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -4))) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) (cbrt.f64 (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 x -4)) 1)) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2))) (*.f64 (pow.f64 x -2) (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (+.f64 (cos.f64 x) -1))) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (+.f64 (cos.f64 x) -1))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2)))) |
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2))) (*.f64 (/.f64 1 x) (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (+.f64 (cos.f64 x) -1))) (/.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -4)) 1) (*.f64 (+.f64 (cos.f64 x) -1) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -4)) (pow.f64 (+.f64 (cos.f64 x) -1) -1/2)) (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (+.f64 (cos.f64 x) -1) -1/2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (+.f64 (cos.f64 x) -1) -1/2)) (/.f64 (cbrt.f64 (pow.f64 x -4)) (pow.f64 (+.f64 (cos.f64 x) -1) -1/2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2))) (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2))) 1) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -4)) (/.f64 1 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (/.f64 1 (/.f64 -1 (*.f64 (cbrt.f64 (pow.f64 x -4)) (-.f64 1 (cos.f64 x))))) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (+.f64 (cos.f64 x) -1))) (sqrt.f64 -1)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2))) -1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (cos.f64 x) -1)) (fma.f64 (cos.f64 x) (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (cos.f64 x) -1)) (-.f64 (pow.f64 (cos.f64 x) 3) -1)) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (-.f64 1 (*.f64 (cos.f64 x) -1)) (-.f64 1 (*.f64 (cos.f64 x) -1))))) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1) (*.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3) (pow.f64 (-.f64 1 (*.f64 (cos.f64 x) -1)) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (-.f64 1 (*.f64 (cos.f64 x) -1)) (-.f64 1 (*.f64 (cos.f64 x) -1)))) (*.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (*.f64 (cos.f64 x) -1))))) |
(pow.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))) 3) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) 3) 1/3) |
(pow.f64 (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) -1) |
(neg.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) 2)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (+.f64 (cos.f64 x) -1))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))))) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)))) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)))) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (+.f64 1 (cos.f64 x)) 2) |
(-.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 x)))) 1) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x))) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(-.f64 (+.f64 -1 (+.f64 1 (cos.f64 x))) 1) |
(*.f64 1 (+.f64 (cos.f64 x) -1)) |
(*.f64 1 (neg.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 -1 (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 (cos.f64 x) -1) 1) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))) |
(*.f64 (-.f64 1 (cos.f64 x)) -1) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.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))) (fma.f64 (cos.f64 x) (cos.f64 x) -1)) |
(*.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1) (fma.f64 (cos.f64 x) (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) 1) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 2) 1) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2))) 1) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (sqrt.f64 -1)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
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(/.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2))) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -1/2))) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -1/2))) |
(/.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))) |
(/.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2))) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))) |
(pow.f64 (+.f64 (cos.f64 x) -1) 1) |
(pow.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) -1) |
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3) |
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)) |
(log.f64 (exp.f64 (+.f64 (cos.f64 x) -1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) -1)))) |
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 3)) |
(expm1.f64 (log.f64 (+.f64 0 (cos.f64 x)))) |
(exp.f64 (log.f64 (+.f64 (cos.f64 x) -1))) |
(exp.f64 (neg.f64 (neg.f64 (log.f64 (+.f64 (cos.f64 x) -1))))) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) -1))) |
(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 (*.f64 (/.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) -1)) (cos.f64 x)) (*.f64 (/.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) -1)) 1)) |
(+.f64 (*.f64 (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (cos.f64 x) -1)))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (cos.f64 x) -1))) (*.f64 (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (cos.f64 x) 2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) 1) |
(*.f64 1 (/.f64 1 (+.f64 (cos.f64 x) -1))) |
(*.f64 -1 (/.f64 -1 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) 1) |
(*.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -1/2) (pow.f64 (+.f64 (cos.f64 x) -1) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) -1))) |
(*.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))) (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) -1) |
(*.f64 (/.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) -1)) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2)) 1) (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) -1) (pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 2) -1)) |
(*.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) 1)) (-.f64 (pow.f64 (cos.f64 x) 3) -1)) |
(*.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))) (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (/.f64 1 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))) |
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 -1 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -1/2) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -1/2) (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2)) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2)) (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3) 1)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 (+.f64 (cos.f64 x) -1) -1) |
(pow.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) 1) |
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 3)) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -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 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 (cos.f64 x) -1)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
| Outputs |
|---|
-1/2 |
(-.f64 (*.f64 1/24 (pow.f64 x 2)) 1/2) |
(fma.f64 1/24 (*.f64 x x) -1/2) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (*.f64 1/24 (pow.f64 x 2))) 1/2) |
(+.f64 (*.f64 -1/720 (pow.f64 x 4)) (fma.f64 1/24 (*.f64 x x) -1/2)) |
(fma.f64 -1/720 (pow.f64 x 4) (fma.f64 1/24 (*.f64 x x) -1/2)) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/40320 (pow.f64 x 6)))) 1/2) |
(+.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 1/24 (*.f64 x x) (*.f64 1/40320 (pow.f64 x 6)))) -1/2) |
(+.f64 -1/2 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 1/24 (*.f64 x x) (*.f64 1/40320 (pow.f64 x 6))))) |
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) |
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) |
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) |
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) |
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) |
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) |
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) |
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) |
(*.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 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))) |
(+.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 -1/720 (pow.f64 x 6)))) |
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/720 (pow.f64 x 6) (*.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))))) |
(-.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 (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 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 (/.f64 -2 x) x) |
(neg.f64 (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 -1/6 (neg.f64 (/.f64 2 (*.f64 x x)))) |
(+.f64 -1/6 (/.f64 (/.f64 -2 x) x)) |
(-.f64 (*.f64 -1/120 (pow.f64 x 2)) (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (-.f64 (*.f64 (*.f64 x x) -1/120) 1/6) (/.f64 2 (*.f64 x x))) |
(+.f64 (fma.f64 (*.f64 x x) -1/120 -1/6) (/.f64 (/.f64 -2 x) x)) |
(-.f64 (+.f64 (*.f64 -1/3024 (pow.f64 x 4)) (*.f64 -1/120 (pow.f64 x 2))) (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (fma.f64 -1/3024 (pow.f64 x 4) (*.f64 (*.f64 x x) -1/120)) (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
(fma.f64 (pow.f64 x 4) -1/3024 (+.f64 (fma.f64 (*.f64 x x) -1/120 -1/6) (/.f64 (/.f64 -2 x) x))) |
(/.f64 1 (-.f64 (cos.f64 x) 1)) |
(/.f64 1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 (cos.f64 x) 1)) |
(/.f64 1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 (cos.f64 x) 1)) |
(/.f64 1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 (cos.f64 x) 1)) |
(/.f64 1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 (cos.f64 x) 1)) |
(/.f64 1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 (cos.f64 x) 1)) |
(/.f64 1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 (cos.f64 x) 1)) |
(/.f64 1 (+.f64 (cos.f64 x) -1)) |
(/.f64 1 (-.f64 (cos.f64 x) 1)) |
(/.f64 1 (+.f64 (cos.f64 x) -1)) |
(+.f64 (neg.f64 (pow.f64 x -2)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (pow.f64 x -2)) |
(+.f64 (neg.f64 (pow.f64 x -2)) (*.f64 1 (/.f64 (cos.f64 x) (*.f64 x x)))) |
(-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (pow.f64 x -2)) |
(+.f64 (neg.f64 (pow.f64 x -2)) (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (cos.f64 x)))) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) |
(+.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (neg.f64 (pow.f64 x -2))) |
(-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (pow.f64 x -2)) |
(+.f64 (*.f64 1 (/.f64 (cos.f64 x) (*.f64 x x))) (neg.f64 (pow.f64 x -2))) |
(-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (pow.f64 x -2)) |
(+.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (cos.f64 x))) (neg.f64 (pow.f64 x -2))) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) |
(-.f64 0 (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))) |
(-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)))) 1) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) |
(-.f64 (+.f64 (/.f64 (cos.f64 x) (*.f64 x x)) 0) (pow.f64 x -2)) |
(-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (neg.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) |
(*.f64 1 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) |
(*.f64 -1 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) |
(*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2)) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) |
(*.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) 1) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x)) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (*.f64 (pow.f64 x -2) (sqrt.f64 (+.f64 (cos.f64 x) -1)))) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) |
(*.f64 (cbrt.f64 (pow.f64 x -4)) (*.f64 (+.f64 (cos.f64 x) -1) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)))) |
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))) 2)) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))) (/.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2)))) |
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(exp.f64 (neg.f64 (neg.f64 (log.f64 (+.f64 (cos.f64 x) -1))))) |
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(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) -1))) |
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(fma.f64 1 (cos.f64 x) -1) |
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(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1)) (+.f64 -1 (pow.f64 (cos.f64 x) 6)))) |
(*.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))) (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 (-.f64 (+.f64 (pow.f64 (cos.f64 x) 6) 1) (neg.f64 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (neg.f64 (cos.f64 x)))) (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)))) |
(*.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6))) (/.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)) (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)))) |
(*.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6))) (/.f64 (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1)) (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)))) |
(*.f64 (/.f64 1 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 1 (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))) |
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (cos.f64 x))))) |
(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1))) (+.f64 1 (cos.f64 x))) |
(/.f64 1 (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 -1 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (cos.f64 x))))) |
(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (cos.f64 x))) |
(/.f64 1 (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -1/2) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))) |
(*.f64 (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (neg.f64 (cos.f64 x))))) (/.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -1/2) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (+.f64 (cos.f64 x) -1) -1/2))) |
(/.f64 (sqrt.f64 (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (+.f64 (cos.f64 x) -1) -1/2))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -1/2) (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (/.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -1/2) (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2)) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))) |
(*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (neg.f64 (cos.f64 x))))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2)) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2)) (cbrt.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2)) (cbrt.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 (pow.f64 (+.f64 (cos.f64 x) -1) -2)) (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2)) (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1)))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2)) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) 1)))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 (+.f64 (cos.f64 x) 1) (+.f64 (pow.f64 (cos.f64 x) 4) -1))) |
(/.f64 (+.f64 (cos.f64 x) 1) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 4)) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) |
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3) 1)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 4) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 (cos.f64 x) 1) (+.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3) -1))) |
(/.f64 (+.f64 (cos.f64 x) 1) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 6)) (+.f64 (pow.f64 (cos.f64 x) 4) (fma.f64 (cos.f64 x) (cos.f64 x) 1)))) |
(pow.f64 (+.f64 (cos.f64 x) -1) -1) |
(/.f64 1 (+.f64 (cos.f64 x) -1)) |
(pow.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) 1) |
(/.f64 1 (+.f64 (cos.f64 x) -1)) |
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -1/2) 2) |
(/.f64 1 (+.f64 (cos.f64 x) -1)) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) 3) |
(/.f64 1 (+.f64 (cos.f64 x) -1)) |
(pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 3)) 1/3) |
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 3))) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(/.f64 1 (+.f64 (cos.f64 x) -1)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) |
(/.f64 1 (+.f64 (cos.f64 x) -1)) |
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(/.f64 1 (+.f64 (cos.f64 x) -1)) |
(exp.f64 (neg.f64 (log.f64 (+.f64 (cos.f64 x) -1)))) |
(/.f64 1 (+.f64 (cos.f64 x) -1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(/.f64 1 (+.f64 (cos.f64 x) -1)) |
Compiled 30649 to 19964 computations (34.9% saved)
22 alts after pruning (17 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1369 | 10 | 1379 |
| Fresh | 5 | 7 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 5 | 7 |
| Total | 1377 | 22 | 1399 |
| Status | Error | Program |
|---|---|---|
| 30.4b | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) | |
| 45.1b | (/.f64 (/.f64 (/.f64 120 x) x) (*.f64 x x)) | |
| ▶ | 45.1b | (/.f64 (/.f64 120 (*.f64 x x)) (*.f64 x x)) |
| 28.1b | (/.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (+.f64 1/6 (*.f64 1/120 (*.f64 x x))))) (*.f64 x x)) | |
| ▶ | 26.6b | (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
| 45.1b | (/.f64 (/.f64 1 (*.f64 x (*.f64 x 1/120))) (*.f64 x x)) | |
| 45.1b | (/.f64 (/.f64 1 (*.f64 1/120 (*.f64 x x))) (*.f64 x x)) | |
| ✓ | 30.9b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| ▶ | 30.3b | (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) x) |
| ✓ | 14.2b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 0.3b | (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x)))) | |
| ▶ | 0.3b | (/.f64 1 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))) |
| ▶ | 30.7b | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
| ✓ | 32.3b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 30.3b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) | |
| ✓ | 14.2b | (*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (*.f64 x 1/2))) |
| 30.9b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) | |
| ✓ | 30.3b | (neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x))) |
| 30.3b | (neg.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (neg.f64 x))) | |
| 30.3b | (neg.f64 (/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (neg.f64 x))) | |
| 30.7b | (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 1 x) (/.f64 1 x)))) | |
| 31.4b | 1/2 |
Compiled 460 to 314 computations (31.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))) |
| ✓ | 0.1b | (/.f64 x (sin.f64 x)) |
| ✓ | 0.2b | (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))) |
| ✓ | 0.3b | (/.f64 1 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))) |
Compiled 50 to 26 computations (48% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))) |
| 1.0ms | x | @ | -inf | (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))) |
| 1.0ms | x | @ | inf | (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))) |
| 1.0ms | x | @ | inf | (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))) |
| 0.0ms | x | @ | -inf | (/.f64 x (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 1054× | swap-sqr |
| 1022× | associate-/l/ |
| 692× | distribute-lft-neg-in |
| 628× | distribute-rgt-neg-in |
| 284× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 110 |
| 1 | 281 | 104 |
| 2 | 3900 | 104 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))) |
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) (/.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)) (/.f64 (sin.f64 x) (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) 1) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2)) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 x) (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)) (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) x)))))) (#(struct:change #<rule 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| 1× | egg-herbie |
| 1016× | distribute-lft-neg-in |
| 876× | associate-*l* |
| 864× | associate-*r* |
| 678× | associate-/r* |
| 652× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 506 | 7458 |
| 1 | 1343 | 7398 |
| 2 | 6439 | 7398 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
1 |
(+.f64 (*.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))))) |
2 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) 1) |
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
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(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1) |
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(*.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) -1) (/.f64 (sin.f64 x) x)) |
(pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) -1) |
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.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) |
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(cbrt.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (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 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) -1)) |
(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))))) |
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(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1) |
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) |
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(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sin.f64 x)) |
(*.f64 (/.f64 1 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) |
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(*.f64 (sqrt.f64 (/.f64 x (neg.f64 (sin.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 x (neg.f64 (sin.f64 x)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (neg.f64 (sin.f64 x)))) (cbrt.f64 (/.f64 x (neg.f64 (sin.f64 x))))) (neg.f64 (cbrt.f64 (/.f64 x (neg.f64 (sin.f64 x)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (neg.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (neg.f64 (sin.f64 x))))) (sqrt.f64 (/.f64 x (neg.f64 (sin.f64 x))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (neg.f64 (sin.f64 x)))) (cbrt.f64 (/.f64 x (neg.f64 (sin.f64 x)))))) (cbrt.f64 (/.f64 x (neg.f64 (sin.f64 x))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(pow.f64 (/.f64 x (sin.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 x) x) -1) |
(neg.f64 (/.f64 x (neg.f64 (sin.f64 x)))) |
(neg.f64 (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) 1)) |
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 x (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 x (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))) 1) |
(*.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) |
(*.f64 x (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) 1) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) 2) (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) 2) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))) |
(*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) |
(*.f64 -1 (*.f64 x (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sqrt.f64 (*.f64 x (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) (tan.f64 (*.f64 x 1/2))))) (neg.f64 (sqrt.f64 (*.f64 x (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) (tan.f64 (*.f64 x 1/2))))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (*.f64 x (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) (tan.f64 (*.f64 x 1/2)))))) (neg.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) (tan.f64 (*.f64 x 1/2))))))) |
(*.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 1) (/.f64 x (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x) (/.f64 1 (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 x 1) (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(*.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) (/.f64 x (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2)) (/.f64 x (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) 2)) (neg.f64 (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))))) |
(*.f64 (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 x (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (sqrt.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) |
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (tan.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 x) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2)) (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 x (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (*.f64 x (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (*.f64 x (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) (tan.f64 (*.f64 x 1/2))))))) (cbrt.f64 (*.f64 x (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) 2))) (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))) |
(pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) 1) |
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) -1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) 3) 1/3) |
(neg.f64 (*.f64 x (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) (tan.f64 (*.f64 x 1/2))))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))) |
(exp.f64 (log.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.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 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 x (/.f64 (sin.f64 x) x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 x (/.f64 (sin.f64 x) x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 x (/.f64 (sin.f64 x) x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 x (/.f64 (sin.f64 x) x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 x (/.f64 (sin.f64 x) x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 x (/.f64 (sin.f64 x) x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 x (/.f64 (sin.f64 x) x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 x (/.f64 (sin.f64 x) x))) (cos.f64 (*.f64 1/2 x))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x)) |
(fma.f64 1/2 x (*.f64 -1/24 (pow.f64 x 3))) |
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/720 (pow.f64 x 5) (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 1/720 (pow.f64 x 5) (*.f64 -1/40320 (pow.f64 x 7))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 (*.f64 x x) 1/6 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 (*.f64 x x) 1/6 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 (*.f64 x x) 1/6 (fma.f64 (pow.f64 x 6) 31/15120 1))) |
2 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2) |
(fma.f64 1/6 (*.f64 x x) 2) |
(fma.f64 (*.f64 x x) 1/6 2) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (*.f64 (pow.f64 x 4) 1/120)) |
(fma.f64 (*.f64 x x) 1/6 (fma.f64 (pow.f64 x 4) 1/120 2)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (fma.f64 1/3024 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/120))) |
(+.f64 (fma.f64 (*.f64 x x) 1/6 2) (fma.f64 (pow.f64 x 6) 1/3024 (*.f64 (pow.f64 x 4) 1/120))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
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(*.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
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(*.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) 1) |
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(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
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(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2)) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
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(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) |
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(*.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2)) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) |
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(*.f64 (*.f64 (/.f64 1 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sin.f64 x)) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
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(/.f64 (/.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x))) x)) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (*.f64 x (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) |
(*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 1/2 x)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (*.f64 x (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) (tan.f64 (*.f64 x 1/2))))))) (cbrt.f64 (*.f64 x (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) |
(*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 1/2 x)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) |
(*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 1/2 x)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) 2))) (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) |
(*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 1/2 x)))) |
(pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) 1) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) |
(*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 1/2 x)))) |
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) -1) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) |
(*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 1/2 x)))) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) 2) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) |
(*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 1/2 x)))) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) 3) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) |
(*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 1/2 x)))) |
(pow.f64 (pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) 3) 1/3) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) |
(*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 1/2 x)))) |
(neg.f64 (*.f64 x (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) |
(*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 1/2 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) 2)) |
(fabs.f64 (*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 1/2 x))))) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) |
(*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 1/2 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))))) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) |
(*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 1/2 x)))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) 3)) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) |
(*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 1/2 x)))) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3))) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 1/2 x))) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) |
(*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 1/2 x)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) |
(*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 1/2 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) 1)) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) |
(*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 1/2 x)))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) |
(*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 1/2 x)))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (/.f64 120 (*.f64 x x)) (*.f64 x x)) |
| ✓ | 0.4b | (/.f64 120 (*.f64 x x)) |
Compiled 20 to 8 computations (60% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 120 (*.f64 x x)) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 120 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 120 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 120 (*.f64 x x)) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 120 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1664× | add-sqr-sqrt |
| 1634× | *-un-lft-identity |
| 1546× | add-cube-cbrt |
| 1530× | add-cbrt-cube |
| 148× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 38 |
| 1 | 156 | 26 |
| 2 | 2185 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 120 (*.f64 x x)) |
(/.f64 (/.f64 120 (*.f64 x x)) (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 120 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 120 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 120 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 120 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 120) x) (/.f64 (sqrt.f64 120) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 120 (*.f64 x x))) (cbrt.f64 (/.f64 14400 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 14400 (pow.f64 x 4))) (cbrt.f64 (/.f64 120 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 120 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 120)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -120 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 120 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 120) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 120 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 120 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/120) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 14400 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 120 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 120 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 120 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 120 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 120 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 120 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 120 (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 120 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 120 (*.f64 (pow.f64 x -2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 120 (/.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 120 (/.f64 (pow.f64 x -2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 120 (*.f64 x x)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 120 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 120 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 120) x) (*.f64 (/.f64 (sqrt.f64 120) x) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 120) x) x) (/.f64 (/.f64 (sqrt.f64 120) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 14400 (pow.f64 x 4))) (*.f64 (cbrt.f64 (/.f64 120 (*.f64 x x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 120 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 120 (pow.f64 x 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 120 (pow.f64 x 4))) 2) (cbrt.f64 (/.f64 120 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 120 x) (/.f64 (pow.f64 x -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 120 (pow.f64 x 3)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (/.f64 120 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -120 (*.f64 x x)) (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 120 (cbrt.f64 (pow.f64 x 4))) (/.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 120 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (/.f64 120 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 120) x) 1) (/.f64 (/.f64 (sqrt.f64 120) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 14400 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (/.f64 120 (*.f64 x x))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 120) x) (cbrt.f64 (pow.f64 x 4))) (/.f64 (/.f64 (sqrt.f64 120) x) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 14400 (pow.f64 x 4))) x) (/.f64 (cbrt.f64 (/.f64 120 (*.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 14400 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 120 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 120 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 120) x) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 120 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 120 (pow.f64 x 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 120 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 120 (*.f64 x x)) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 120 (pow.f64 x 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 120 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 120 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 120 (pow.f64 x 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 120 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 120 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 120 (pow.f64 x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 120 (pow.f64 x 4)))))))) |
| 1× | egg-herbie |
| 1258× | associate-*r/ |
| 1244× | times-frac |
| 1164× | associate-/l* |
| 890× | associate-*l/ |
| 808× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 141 | 1413 |
| 1 | 351 | 1413 |
| 2 | 1504 | 1413 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (pow.f64 x 4)) |
(/.f64 120 (pow.f64 x 4)) |
(/.f64 120 (pow.f64 x 4)) |
(/.f64 120 (pow.f64 x 4)) |
(/.f64 120 (pow.f64 x 4)) |
(/.f64 120 (pow.f64 x 4)) |
(/.f64 120 (pow.f64 x 4)) |
(/.f64 120 (pow.f64 x 4)) |
(/.f64 120 (pow.f64 x 4)) |
(/.f64 120 (pow.f64 x 4)) |
(/.f64 120 (pow.f64 x 4)) |
(/.f64 120 (pow.f64 x 4)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 120 (*.f64 x x)))) 1) |
(*.f64 120 (pow.f64 x -2)) |
(*.f64 (/.f64 120 (*.f64 x x)) 1) |
(*.f64 1 (/.f64 120 (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 120) x) (/.f64 (sqrt.f64 120) x)) |
(*.f64 (cbrt.f64 (/.f64 120 (*.f64 x x))) (cbrt.f64 (/.f64 14400 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 14400 (pow.f64 x 4))) (cbrt.f64 (/.f64 120 (*.f64 x x)))) |
(*.f64 (/.f64 120 x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) 120) |
(*.f64 -120 (/.f64 1 (*.f64 x (neg.f64 x)))) |
(pow.f64 (/.f64 120 (*.f64 x x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 120) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 120 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (/.f64 120 (*.f64 x x)) 3) 1/3) |
(pow.f64 (*.f64 (*.f64 x x) 1/120) -1) |
(sqrt.f64 (/.f64 14400 (pow.f64 x 4))) |
(log.f64 (exp.f64 (/.f64 120 (*.f64 x x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 120 (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (/.f64 120 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 120 (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 120 (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 120 (*.f64 x x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 120 (*.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 120 (pow.f64 x 4)))) 1) |
(*.f64 120 (*.f64 (pow.f64 x -2) (pow.f64 x -2))) |
(*.f64 120 (/.f64 1 (pow.f64 x 4))) |
(*.f64 120 (/.f64 (pow.f64 x -2) (*.f64 x x))) |
(*.f64 (/.f64 120 (*.f64 x x)) (pow.f64 x -2)) |
(*.f64 (/.f64 120 (pow.f64 x 4)) 1) |
(*.f64 1 (/.f64 120 (pow.f64 x 4))) |
(*.f64 (/.f64 (sqrt.f64 120) x) (*.f64 (/.f64 (sqrt.f64 120) x) (pow.f64 x -2))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 120) x) x) (/.f64 (/.f64 (sqrt.f64 120) x) x)) |
(*.f64 (cbrt.f64 (/.f64 14400 (pow.f64 x 4))) (*.f64 (cbrt.f64 (/.f64 120 (*.f64 x x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (/.f64 120 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 120 (pow.f64 x 4))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 120 (pow.f64 x 4))) 2) (cbrt.f64 (/.f64 120 (pow.f64 x 4)))) |
(*.f64 (/.f64 120 x) (/.f64 (pow.f64 x -2) x)) |
(*.f64 (/.f64 120 (pow.f64 x 3)) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (/.f64 120 (*.f64 x x))) |
(*.f64 (/.f64 -120 (*.f64 x x)) (/.f64 1 (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 120 (cbrt.f64 (pow.f64 x 4))) (/.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 x) (/.f64 120 (pow.f64 x 3))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (/.f64 120 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 120) x) 1) (/.f64 (/.f64 (sqrt.f64 120) x) (*.f64 x x))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 14400 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (/.f64 120 (*.f64 x x))) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 120) x) (cbrt.f64 (pow.f64 x 4))) (/.f64 (/.f64 (sqrt.f64 120) x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 14400 (pow.f64 x 4))) x) (/.f64 (cbrt.f64 (/.f64 120 (*.f64 x x))) x)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 14400 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 120 (pow.f64 x 4)))) |
(pow.f64 (/.f64 120 (pow.f64 x 4)) 1) |
(pow.f64 (/.f64 (/.f64 (sqrt.f64 120) x) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 120 (pow.f64 x 4))) 3) |
(pow.f64 (pow.f64 (/.f64 120 (pow.f64 x 4)) 3) 1/3) |
(pow.f64 (/.f64 x (/.f64 120 (pow.f64 x 3))) -1) |
(neg.f64 (/.f64 (/.f64 120 (*.f64 x x)) (*.f64 x (neg.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 120 (pow.f64 x 4)) 2)) |
(log.f64 (exp.f64 (/.f64 120 (pow.f64 x 4)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 120 (pow.f64 x 4))))) |
(cbrt.f64 (pow.f64 (/.f64 120 (pow.f64 x 4)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 120 (pow.f64 x 4)))) |
(exp.f64 (log.f64 (/.f64 120 (pow.f64 x 4)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 120 (pow.f64 x 4))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 120 (pow.f64 x 4)))) |
| Outputs |
|---|
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(/.f64 120 (pow.f64 x 2)) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 120 (*.f64 x x)))) 1) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(*.f64 120 (pow.f64 x -2)) |
(/.f64 120 (*.f64 x x)) |
(*.f64 (/.f64 120 (*.f64 x x)) 1) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(*.f64 1 (/.f64 120 (*.f64 x x))) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 120) x) (/.f64 (sqrt.f64 120) x)) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (/.f64 120 (*.f64 x x))) (cbrt.f64 (/.f64 14400 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 120 (pow.f64 x -2))) (cbrt.f64 (/.f64 14400 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 120 (pow.f64 x -2))) (cbrt.f64 (*.f64 14400 (pow.f64 x -4)))) |
(*.f64 (cbrt.f64 (/.f64 14400 (pow.f64 x 4))) (cbrt.f64 (/.f64 120 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 120 (*.f64 x x))) (cbrt.f64 (/.f64 14400 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 120 (pow.f64 x -2))) (cbrt.f64 (/.f64 14400 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 120 (pow.f64 x -2))) (cbrt.f64 (*.f64 14400 (pow.f64 x -4)))) |
(*.f64 (/.f64 120 x) (/.f64 1 x)) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) 120) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(*.f64 -120 (/.f64 1 (*.f64 x (neg.f64 x)))) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(pow.f64 (/.f64 120 (*.f64 x x)) 1) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 120) x) 2) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(pow.f64 (cbrt.f64 (/.f64 120 (*.f64 x x))) 3) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(pow.f64 (pow.f64 (/.f64 120 (*.f64 x x)) 3) 1/3) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(pow.f64 (*.f64 (*.f64 x x) 1/120) -1) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(sqrt.f64 (/.f64 14400 (pow.f64 x 4))) |
(sqrt.f64 (*.f64 14400 (pow.f64 x -4))) |
(log.f64 (exp.f64 (/.f64 120 (*.f64 x x)))) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 120 (*.f64 x x))))) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (/.f64 120 (*.f64 x x)) 3)) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(expm1.f64 (log1p.f64 (/.f64 120 (*.f64 x x)))) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(exp.f64 (log.f64 (/.f64 120 (*.f64 x x)))) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(exp.f64 (*.f64 (log.f64 (/.f64 120 (*.f64 x x))) 1)) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (/.f64 120 (*.f64 x x)))) |
(/.f64 120 (*.f64 x x)) |
(*.f64 120 (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 120 (pow.f64 x 4)))) 1) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(*.f64 120 (*.f64 (pow.f64 x -2) (pow.f64 x -2))) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(*.f64 120 (/.f64 1 (pow.f64 x 4))) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(*.f64 120 (/.f64 (pow.f64 x -2) (*.f64 x x))) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(*.f64 (/.f64 120 (*.f64 x x)) (pow.f64 x -2)) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(*.f64 (/.f64 120 (pow.f64 x 4)) 1) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(*.f64 1 (/.f64 120 (pow.f64 x 4))) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(*.f64 (/.f64 (sqrt.f64 120) x) (*.f64 (/.f64 (sqrt.f64 120) x) (pow.f64 x -2))) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 120) x) x) (/.f64 (/.f64 (sqrt.f64 120) x) x)) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(*.f64 (cbrt.f64 (/.f64 14400 (pow.f64 x 4))) (*.f64 (cbrt.f64 (/.f64 120 (*.f64 x x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (/.f64 14400 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) (cbrt.f64 (/.f64 120 (*.f64 x x))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (*.f64 120 (pow.f64 x -2))) (cbrt.f64 (/.f64 14400 (pow.f64 x 4))))) |
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (*.f64 120 (pow.f64 x -2))) (cbrt.f64 (*.f64 14400 (pow.f64 x -4))))) |
(*.f64 (cbrt.f64 (/.f64 120 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 120 (pow.f64 x 4))) 2)) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 120 (pow.f64 x 4))) 2) (cbrt.f64 (/.f64 120 (pow.f64 x 4)))) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(*.f64 (/.f64 120 x) (/.f64 (pow.f64 x -2) x)) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(*.f64 (/.f64 120 (pow.f64 x 3)) (/.f64 1 x)) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(*.f64 (pow.f64 x -2) (/.f64 120 (*.f64 x x))) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(*.f64 (/.f64 -120 (*.f64 x x)) (/.f64 1 (*.f64 x (neg.f64 x)))) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(*.f64 (/.f64 120 (cbrt.f64 (pow.f64 x 4))) (/.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 x) (/.f64 120 (pow.f64 x 3))) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (/.f64 120 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 120 (cbrt.f64 (pow.f64 x 4))) (/.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 120) x) 1) (/.f64 (/.f64 (sqrt.f64 120) x) (*.f64 x x))) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 14400 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (/.f64 120 (*.f64 x x))) (*.f64 x x))) |
(*.f64 (cbrt.f64 (/.f64 14400 (pow.f64 x 4))) (/.f64 (cbrt.f64 (/.f64 120 (*.f64 x x))) (*.f64 x x))) |
(*.f64 (cbrt.f64 (/.f64 14400 (pow.f64 x 4))) (/.f64 (cbrt.f64 (*.f64 120 (pow.f64 x -2))) (*.f64 x x))) |
(*.f64 (cbrt.f64 (*.f64 14400 (pow.f64 x -4))) (/.f64 (cbrt.f64 (*.f64 120 (pow.f64 x -2))) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 120) x) (cbrt.f64 (pow.f64 x 4))) (/.f64 (/.f64 (sqrt.f64 120) x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 120 (cbrt.f64 (pow.f64 x 4))) (/.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 14400 (pow.f64 x 4))) x) (/.f64 (cbrt.f64 (/.f64 120 (*.f64 x x))) x)) |
(*.f64 (cbrt.f64 (/.f64 14400 (pow.f64 x 4))) (/.f64 (cbrt.f64 (/.f64 120 (*.f64 x x))) (*.f64 x x))) |
(*.f64 (cbrt.f64 (/.f64 14400 (pow.f64 x 4))) (/.f64 (cbrt.f64 (*.f64 120 (pow.f64 x -2))) (*.f64 x x))) |
(*.f64 (cbrt.f64 (*.f64 14400 (pow.f64 x -4))) (/.f64 (cbrt.f64 (*.f64 120 (pow.f64 x -2))) (*.f64 x x))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 14400 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 120 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 120 (pow.f64 x 4))) (/.f64 (cbrt.f64 (/.f64 14400 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (cbrt.f64 (/.f64 14400 (pow.f64 x 4))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 120 (pow.f64 x -4))))) |
(*.f64 (cbrt.f64 (*.f64 120 (pow.f64 x -4))) (/.f64 (cbrt.f64 (*.f64 14400 (pow.f64 x -4))) (cbrt.f64 (pow.f64 x 4)))) |
(pow.f64 (/.f64 120 (pow.f64 x 4)) 1) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(pow.f64 (/.f64 (/.f64 (sqrt.f64 120) x) x) 2) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(pow.f64 (cbrt.f64 (/.f64 120 (pow.f64 x 4))) 3) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(pow.f64 (pow.f64 (/.f64 120 (pow.f64 x 4)) 3) 1/3) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(pow.f64 (/.f64 x (/.f64 120 (pow.f64 x 3))) -1) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(neg.f64 (/.f64 (/.f64 120 (*.f64 x x)) (*.f64 x (neg.f64 x)))) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(sqrt.f64 (pow.f64 (/.f64 120 (pow.f64 x 4)) 2)) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(log.f64 (exp.f64 (/.f64 120 (pow.f64 x 4)))) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 120 (pow.f64 x 4))))) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(cbrt.f64 (pow.f64 (/.f64 120 (pow.f64 x 4)) 3)) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(expm1.f64 (log1p.f64 (/.f64 120 (pow.f64 x 4)))) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(exp.f64 (log.f64 (/.f64 120 (pow.f64 x 4)))) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(exp.f64 (*.f64 (log.f64 (/.f64 120 (pow.f64 x 4))) 1)) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
(log1p.f64 (expm1.f64 (/.f64 120 (pow.f64 x 4)))) |
(/.f64 120 (pow.f64 x 4)) |
(*.f64 120 (pow.f64 x -4)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1/6 (/.f64 2 (*.f64 x x))) |
| ✓ | 0.1b | (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
| 0.4b | (/.f64 2 (*.f64 x x)) | |
| ✓ | 13.8b | (/.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 | @ | 0 | (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (+.f64 1/6 (/.f64 2 (*.f64 x x))) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
| 0.0ms | x | @ | 0 | (/.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 | 81 |
| 1 | 247 | 63 |
| 2 | 3299 | 63 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (pow.f64 x -2)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (pow.f64 x -2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 1/6))))) |
| 1× | egg-herbie |
| 882× | associate-*r* |
| 752× | associate-*l* |
| 664× | +-commutative |
| 656× | *-commutative |
| 612× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 550 | 10243 |
| 1 | 1605 | 9487 |
| 2 | 7422 | 9487 |
| 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 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 2 (pow.f64 x 2)) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
1/6 |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
1/6 |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)))) 1) |
(*.f64 1 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) |
(*.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) 1) |
(*.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 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (pow.f64 x -2))) |
(*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (*.f64 x x))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.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 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (pow.f64 x -2))) |
(*.f64 (/.f64 1 (*.f64 x (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(*.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6)) (/.f64 1 (neg.f64 (*.f64 x x)))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (pow.f64 x -2)) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2)) |
(*.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)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1/6) (pow.f64 (cbrt.f64 x) 2)))) |
(*.f64 (/.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1/6) (pow.f64 (cbrt.f64 x) 2))) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (*.f64 x x)) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (cbrt.f64 (pow.f64 x 4))) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) 1) (/.f64 1 (*.f64 (*.f64 x x) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) x) (/.f64 1 (*.f64 x (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))) |
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(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 1) (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) 1) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) -1) (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (fma.f64 2 (pow.f64 x -2) 1/6)) |
(*.f64 (/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 1/216 (*.f64 -8 (pow.f64 (pow.f64 x -2) 3)))) (+.f64 1/36 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 1/3)))) |
(*.f64 (/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (-.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6) (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6))))) (+.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) 1/3))) |
(*.f64 (/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (+.f64 1/46656 (pow.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 -1/3 (pow.f64 x -2))) 3))) (+.f64 1/1296 (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 -1/3 (pow.f64 x -2))) (-.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 -1/3 (pow.f64 x -2))) 1/36)))) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))) (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(/.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(/.f64 1 (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))) |
(/.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1) |
(/.f64 (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 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (/.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(/.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))) |
(/.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (cbrt.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(/.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(/.f64 (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 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (/.f64 -1 (neg.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 (pow.f64 x -2) -2))) |
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (/.f64 1 (/.f64 1 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2))))) |
(/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3)))) |
(/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (/.f64 1 (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3)))))) |
(/.f64 -1 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(/.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(/.f64 (sqrt.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (sqrt.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(/.f64 (sqrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (/.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (sqrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))))) |
(/.f64 (sqrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (sqrt.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (sqrt.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.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))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)))) |
(/.f64 (sqrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (sqrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))))) |
(/.f64 (sqrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3)))))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (/.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (cbrt.f64 (pow.f64 (cbrt.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))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 -1 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(/.f64 (neg.f64 (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 -1/36 (neg.f64 (/.f64 -4 (pow.f64 x 4)))) (+.f64 -1/6 (neg.f64 (*.f64 (pow.f64 x -2) -2)))) |
(/.f64 (+.f64 -1/216 (neg.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))) |
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6)) |
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (*.f64 1 (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6))) |
(/.f64 (-.f64 1/46656 (*.f64 64 (*.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 x -2) 3)))) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (+.f64 1/216 (*.f64 -8 (pow.f64 (pow.f64 x -2) 3))))) |
(/.f64 (+.f64 1/1296 (*.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 4)))) (*.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36))) |
(/.f64 (+.f64 1/10077696 (pow.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) 3)) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (+.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 1/46656 (pow.f64 (/.f64 4 (pow.f64 x 4)) 3)) (*.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (+.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36))))) |
(/.f64 (neg.f64 (+.f64 -1/36 (neg.f64 (/.f64 -4 (pow.f64 x 4))))) (+.f64 1/6 (*.f64 (pow.f64 x -2) -2))) |
(/.f64 (neg.f64 (+.f64 -1/216 (neg.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3)))) |
(pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1) |
(pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 3) |
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3) 1/3) |
(neg.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(neg.f64 (/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 -1/6 (neg.f64 (*.f64 (pow.f64 x -2) -2))))) |
(neg.f64 (/.f64 (+.f64 1/216 (*.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)))))) |
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 2)) |
(log.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(exp.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(log1p.f64 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(fma.f64 1 (*.f64 2 (pow.f64 x -2)) 1/6) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(fma.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x) 1/6) |
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (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 -1/24 (*.f64 x x)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/3456 (pow.f64 x 6)) (*.f64 1/288 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/3456 (pow.f64 x 6) (*.f64 1/288 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/288 (pow.f64 x 4) (*.f64 -1/3456 (pow.f64 x 6)))) |
(/.f64 6 (pow.f64 x 2)) |
(/.f64 6 (*.f64 x x)) |
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (/.f64 6 (*.f64 x x)) (/.f64 72 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 6 (*.f64 x x)) (-.f64 (/.f64 864 (pow.f64 x 6)) (/.f64 72 (pow.f64 x 4)))) |
(+.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 864 (pow.f64 x 6)) (/.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 (*.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 (/.f64 6 (*.f64 x x)) (/.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 (/.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 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 6 (*.f64 x x)) (-.f64 (/.f64 864 (pow.f64 x 6)) (/.f64 72 (pow.f64 x 4)))) |
(+.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 864 (pow.f64 x 6)) (/.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 (*.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 (/.f64 6 (*.f64 x x)) (/.f64 864 (pow.f64 x 6))) (+.f64 (/.f64 72 (pow.f64 x 4)) (/.f64 10368 (pow.f64 x 8)))) |
(*.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 1/288 (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)))) |
(+.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))))) |
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 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 6 (-.f64 (/.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 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 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 6 (-.f64 (/.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 72 (*.f64 x x)))) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
1/6 |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
1/6 |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/6 (/.f64 2 (*.f64 x x))) |
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
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(-.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)) |
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(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (/.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (*.f64 (*.f64 x x) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) 1)) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (/.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (*.f64 (*.f64 x x) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) x) (/.f64 1 (*.f64 x (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (/.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (*.f64 (*.f64 x x) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.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)) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (/.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (*.f64 (*.f64 x x) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(*.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 (/.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 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (/.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (*.f64 (*.f64 x x) (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))) |
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(pow.f64 (*.f64 x (*.f64 x (fma.f64 2 (pow.f64 x -2) 1/6))) -1) |
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(*.f64 (/.f64 1 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (+.f64 1/36 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) -1/3)))) |
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(*.f64 -1 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6))) |
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(/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) -1/36) (fma.f64 2 (pow.f64 x -2) -1/6)) |
(neg.f64 (/.f64 (+.f64 1/216 (*.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 -1/216 (*.f64 (pow.f64 (pow.f64 x -2) 3) -8)) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x -2) 3) -8 -1/216) (-.f64 (/.f64 -4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 (pow.f64 x -2) -1/3)))) |
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 2)) |
(fabs.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) |
(log.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3)) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(expm1.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(exp.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(log1p.f64 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(fma.f64 1 (*.f64 2 (pow.f64 x -2)) 1/6) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(fma.f64 2 (pow.f64 x -2) 1/6) |
(fma.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x) 1/6) |
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 1/6) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) x) |
| ✓ | 0.2b | (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) |
| 1.4b | (-.f64 1 (cos.f64 x)) |
Compiled 30 to 18 computations (40% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) x) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) x) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) x) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1712× | associate-/l* |
| 1036× | *-commutative |
| 662× | swap-sqr |
| 634× | associate-/r/ |
| 608× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 40 |
| 1 | 213 | 40 |
| 2 | 2908 | 40 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 1 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.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 1 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 x) (-.f64 1 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(-.f64 1 (cos.f64 x))) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)) (/.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> 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#<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))))) |
| 1× | egg-herbie |
| 726× | distribute-lft-neg-out |
| 620× | distribute-lft-neg-in |
| 580× | associate-/l* |
| 580× | distribute-rgt-neg-in |
| 540× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 428 | 6438 |
| 1 | 1223 | 5908 |
| 2 | 5404 | 5908 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) |
(+.f64 (/.f64 1 x) (*.f64 1 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) |
(+.f64 (/.f64 1 x) (*.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 1)) |
(+.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x)) |
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x))) |
(/.f64 1 (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 1 (/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(/.f64 1 (/.f64 (+.f64 x (*.f64 (cos.f64 x) 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 x) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 1 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 x -1/2) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)))) |
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 1 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (cbrt.f64 (pow.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)) x)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 x (*.f64 (cos.f64 x) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 x (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(/.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 x (*.f64 (cos.f64 x) x)) 1)) |
(/.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 x (*.f64 (cos.f64 x) x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 x (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 1 x))) |
(/.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 (+.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 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 -1 (/.f64 x (neg.f64 (-.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 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))) |
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 x (*.f64 (cos.f64 x) x)) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (/.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 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (+.f64 x (*.f64 (cos.f64 x) x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.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 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)) (/.f64 (sqrt.f64 x) 1)) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (/.f64 1 (cbrt.f64 x)))) |
(/.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 (cos.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (neg.f64 x)) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3))) (*.f64 (+.f64 x (*.f64 (cos.f64 x) x)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.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 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (+.f64 x (*.f64 (cos.f64 x) x)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (*.f64 (+.f64 1 (cos.f64 x)) (neg.f64 x))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (*.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (neg.f64 x)))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (*.f64 x (+.f64 (neg.f64 (cos.f64 x)) -1))) |
(/.f64 (neg.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 (neg.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 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 x (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 x (*.f64 (cos.f64 x) x)) (sin.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 1 (cos.f64 x)))) x) |
(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) |
(neg.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x)) |
(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 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (/.f64 1 (pow.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))) |
(+.f64 (pow.f64 x -2) (*.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 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 (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 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (pow.f64 x -1/2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 x -1/2))) |
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.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 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 -1 x)) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 x -1/2)) (pow.f64 x -1/2)) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (pow.f64 x -1/2) x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (pow.f64 x -1/2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 (cbrt.f64 (pow.f64 x -2)) x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 x) (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))) -1) |
(*.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (neg.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.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 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x)))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) x)) |
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))) 1)) |
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -1 x))) |
(neg.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))))) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2)) |
(log.f64 (exp.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(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 (/.f64 1 (pow.f64 x 3)) (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x)) |
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/720 (pow.f64 x 5) (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 1/720 (pow.f64 x 5) (*.f64 -1/40320 (pow.f64 x 7))))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
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) |
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(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (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)) |
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(*.f64 (-.f64 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 1 (cos.f64 x)) (pow.f64 x -2)) |
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(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (/.f64 1 x) (*.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
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(/.f64 (-.f64 1 (cos.f64 x)) x) |
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (neg.f64 (*.f64 (/.f64 1 x) (cos.f64 x))))) |
(-.f64 (expm1.f64 (log1p.f64 (/.f64 1 x))) (/.f64 (cos.f64 x) x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (neg.f64 (*.f64 (/.f64 1 x) (cos.f64 x))))) |
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(/.f64 1 (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
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(/.f64 (-.f64 1 (cos.f64 x)) x) |
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(*.f64 (/.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
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(*.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 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 x (*.f64 (cos.f64 x) (fma.f64 x (cos.f64 x) x)))) |
(/.f64 (/.f64 1 x) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 1 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 x))) |
(/.f64 (pow.f64 x -1/2) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 1 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (cbrt.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x))) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (cbrt.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 x (*.f64 (cos.f64 x) x))) |
(*.f64 (/.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (fma.f64 x (cos.f64 x) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 x (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (fma.f64 x (cos.f64 x) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (/.f64 1 x))) |
(*.f64 (/.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (fma.f64 x (cos.f64 x) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (+.f64 x (*.f64 (cos.f64 x) x)) 1)) |
(*.f64 (/.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (fma.f64 x (cos.f64 x) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (neg.f64 x)) -1)) |
(*.f64 (/.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (fma.f64 x (cos.f64 x) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 1 (+.f64 x (*.f64 (cos.f64 x) x)))) |
(*.f64 (/.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (fma.f64 x (cos.f64 x) x))) |
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(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x)) |
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(+.f64 (pow.f64 x -2) (*.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (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 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 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -1/2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 x -1/2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sqrt.f64 x) (/.f64 (pow.f64 x -1/2) x))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 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 (neg.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 -1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 x -1/2)) (pow.f64 x -1/2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (cbrt.f64 x))) |
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (pow.f64 x -1/2) x)) |
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sqrt.f64 x) (/.f64 (pow.f64 x -1/2) x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (pow.f64 x -1/2)) |
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sqrt.f64 x) (/.f64 (pow.f64 x -1/2) x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 1 (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 (cbrt.f64 (pow.f64 x -2)) x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (cbrt.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 -1 x) (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))) -1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sqrt.f64 x) (/.f64 (pow.f64 x -1/2) x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (neg.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(neg.f64 (*.f64 (/.f64 (-.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)) |
(neg.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2)) |
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(log.f64 (exp.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)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (/.f64 1 (pow.f64 x 3)))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 6))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (/.f64 1 (pow.f64 x 3)))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 (cos.f64 x) (*.f64 x x)) |
| ✓ | 14.6b | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
Compiled 27 to 10 computations (63% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
| 1.0ms | x | @ | inf | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
| 0.0ms | x | @ | 0 | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
| 0.0ms | x | @ | 0 | (/.f64 (cos.f64 x) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 (cos.f64 x) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1582× | associate-*r/ |
| 1176× | associate-/r* |
| 1026× | associate-*l/ |
| 996× | *-commutative |
| 952× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 46 |
| 1 | 222 | 46 |
| 2 | 3112 | 46 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) (/.f64 (sqrt.f64 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x) (/.f64 (cbrt.f64 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (cos.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 x x)) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (cos.f64 x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 1268× | associate-+r+ |
| 1264× | associate-+l+ |
| 798× | +-commutative |
| 772× | associate-/r/ |
| 488× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 386 | 10308 |
| 1 | 1096 | 9180 |
| 2 | 5067 | 9006 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 2)) 1/2) |
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) 1/2) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 1/2) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2)) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (+.f64 (pow.f64 x -2) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (+.f64 (pow.f64 x -2) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
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(/.f64 (/.f64 (-.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x -6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) 1) (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x -6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x -6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4))))) |
(pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 1) |
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))) 3) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 2)) |
(log.f64 (exp.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))) |
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(exp.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(fma.f64 1 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(fma.f64 (/.f64 1 x) (/.f64 1 x) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) 1) |
(*.f64 (pow.f64 x -2) (cos.f64 x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1) |
(*.f64 1 (*.f64 (pow.f64 x -2) (cos.f64 x))) |
(*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) (/.f64 (sqrt.f64 (cos.f64 x)) x)) |
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x)) |
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))) |
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1)) |
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) |
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x) (/.f64 (cbrt.f64 (cos.f64 x)) x)) |
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 x x)) (cbrt.f64 (cos.f64 x))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x))) |
(pow.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3) |
(pow.f64 (*.f64 (/.f64 x (cos.f64 x)) x) -1) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)) 1/3) |
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) |
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1 x) x) |
(-.f64 (/.f64 1 (pow.f64 x 2)) 1/2) |
(+.f64 (/.f64 1 (*.f64 x x)) -1/2) |
(+.f64 (/.f64 (/.f64 1 x) x) -1/2) |
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) 1/2) |
(+.f64 (fma.f64 1/24 (*.f64 x x) (/.f64 1 (*.f64 x x))) -1/2) |
(+.f64 (fma.f64 (*.f64 x x) 1/24 (/.f64 (/.f64 1 x) x)) -1/2) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 1/2) |
(+.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 1/24 (*.f64 x x) (/.f64 1 (*.f64 x x)))) -1/2) |
(+.f64 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 (*.f64 x x) 1/24 (/.f64 (/.f64 1 x) x))) -1/2) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(/.f64 (cos.f64 x) (pow.f64 x 2)) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (pow.f64 x -2))) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (pow.f64 x -2))) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
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(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(pow.f64 (*.f64 (/.f64 x (cos.f64 x)) x) -1) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 x -6) (pow.f64 (cos.f64 x) 3))) |
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2))) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) |
(cbrt.f64 (*.f64 (pow.f64 x -6) (pow.f64 (cos.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) |
(/.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 (cos.f64 x) (pow.f64 x -2)) |
Compiled 29853 to 19689 computations (34% saved)
20 alts after pruning (13 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1354 | 6 | 1360 |
| Fresh | 5 | 7 | 12 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 6 | 9 |
| Total | 1362 | 20 | 1382 |
| Status | Error | Program |
|---|---|---|
| 30.4b | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) | |
| 30.3b | (/.f64 (/.f64 (/.f64 1 x) (/.f64 1 (-.f64 1 (cos.f64 x)))) x) | |
| 30.3b | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) | |
| ✓ | 45.1b | (/.f64 (/.f64 120 (*.f64 x x)) (*.f64 x x)) |
| 28.1b | (/.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (+.f64 1/6 (*.f64 1/120 (*.f64 x x))))) (*.f64 x x)) | |
| 30.3b | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) | |
| 43.9b | (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) | |
| ✓ | 30.9b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 30.3b | (/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x) | |
| ✓ | 14.2b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 0.3b | (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x)))) | |
| 43.1b | (/.f64 6 (*.f64 x x)) | |
| ✓ | 0.3b | (/.f64 1 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))) |
| ✓ | 30.7b | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
| ✓ | 32.3b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 30.3b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) | |
| ✓ | 14.2b | (*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (*.f64 x 1/2))) |
| 30.9b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) | |
| 30.7b | (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 1 x) (/.f64 1 x)))) | |
| 31.4b | 1/2 |
Compiled 224 to 154 computations (31.3% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
(/.f64 (/.f64 120 (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 120 x) x) (*.f64 x x)) |
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 1/120 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 x (*.f64 x 1/120))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (+.f64 1/6 (*.f64 1/120 (*.f64 x x))))) (*.f64 x x)) |
(/.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) (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 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) x) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
(neg.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (neg.f64 x))) |
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 1 (-.f64 1 (cos.f64 x)))) x) |
(neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 1 x) (/.f64 1 x)))) |
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x) |
(neg.f64 (/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (neg.f64 x))) |
(/.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (*.f64 x 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 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (+.f64 (cos.f64 x) -1))) -1) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (*.f64 x 1/2))) |
(/.f64 1 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (+.f64 2 (*.f64 2 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x)) |
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(/.f64 (log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) (*.f64 x x)) |
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 2)) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 1 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))) |
2 calls:
| 44.0ms | x |
| 9.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 595 to 328 computations (44.9% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
(/.f64 (/.f64 120 (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 120 x) x) (*.f64 x x)) |
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 1/120 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 x (*.f64 x 1/120))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (+.f64 1/6 (*.f64 1/120 (*.f64 x x))))) (*.f64 x x)) |
(/.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) (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 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) x) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
(neg.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (neg.f64 x))) |
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 1 (-.f64 1 (cos.f64 x)))) x) |
(neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 1 x) (/.f64 1 x)))) |
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x) |
(neg.f64 (/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (neg.f64 x))) |
(/.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (*.f64 x 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 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (+.f64 (cos.f64 x) -1))) -1) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (*.f64 x 1/2))) |
| Outputs |
|---|
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x)))) |
2 calls:
| 17.0ms | x |
| 9.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 408 to 225 computations (44.9% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
(/.f64 (/.f64 120 (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 120 x) x) (*.f64 x x)) |
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 1/120 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 x (*.f64 x 1/120))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (+.f64 1/6 (*.f64 1/120 (*.f64 x x))))) (*.f64 x x)) |
(/.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) (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 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) x) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
(neg.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (neg.f64 x))) |
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 1 (-.f64 1 (cos.f64 x)))) x) |
(neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 1 x) (/.f64 1 x)))) |
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x) |
(neg.f64 (/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (neg.f64 x))) |
(/.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (*.f64 x 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 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
| Outputs |
|---|
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
2 calls:
| 51.0ms | x |
| 34.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
| 0.5b | 2 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 349 to 189 computations (45.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 1.8969124097257554e-6 | 88121.15730578838 |
| 18.0ms | -20.08702676784793 | -0.000690015530276078 |
| 34.0ms | 288× | body | 256 | valid |
Compiled 355 to 279 computations (21.4% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
(/.f64 (/.f64 120 (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 120 x) x) (*.f64 x x)) |
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 1/120 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 x (*.f64 x 1/120))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (+.f64 1/6 (*.f64 1/120 (*.f64 x x))))) (*.f64 x x)) |
(/.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) (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 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) x) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
(neg.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (neg.f64 x))) |
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 1 (-.f64 1 (cos.f64 x)))) x) |
(neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 1 x) (/.f64 1 x)))) |
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x) |
(neg.f64 (/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (neg.f64 x))) |
(/.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
2 calls:
| 40.0ms | x |
| 13.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
| 0.6b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 310 to 168 computations (45.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 1.8969124097257554e-6 | 88121.15730578838 |
| 19.0ms | -20.08702676784793 | -0.000690015530276078 |
| 36.0ms | 288× | body | 256 | valid |
Compiled 371 to 277 computations (25.3% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
(/.f64 (/.f64 120 (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 120 x) x) (*.f64 x x)) |
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 1/120 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 x (*.f64 x 1/120))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (+.f64 1/6 (*.f64 1/120 (*.f64 x x))))) (*.f64 x x)) |
(/.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) (neg.f64 x))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
2 calls:
| 26.0ms | x |
| 8.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
| 0.6b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 173 to 90 computations (48% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 1.8969124097257554e-6 | 88121.15730578838 |
| 18.0ms | -20.08702676784793 | -0.000690015530276078 |
| 36.0ms | 288× | body | 256 | valid |
Compiled 355 to 261 computations (26.5% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
(/.f64 (/.f64 120 (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 120 x) x) (*.f64 x x)) |
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 1/120 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 x (*.f64 x 1/120))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (+.f64 1/6 (*.f64 1/120 (*.f64 x x))))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
2 calls:
| 26.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 23.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 3 | x |
| 0.6b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 145 to 75 computations (48.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 1.8969124097257554e-6 | 88121.15730578838 |
| 18.0ms | -20.08702676784793 | -0.000690015530276078 |
| 35.0ms | 288× | body | 256 | valid |
Compiled 355 to 261 computations (26.5% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
(/.f64 (/.f64 120 (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 120 x) x) (*.f64 x x)) |
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 1/120 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (*.f64 x (*.f64 x 1/120))) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (+.f64 1/6 (*.f64 1/120 (*.f64 x x))))) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) |
1 calls:
| 22.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 12.5b | 3 | x |
Compiled 128 to 65 computations (49.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 1.8969124097257554e-6 | 88121.15730578838 |
| 18.0ms | -20.08702676784793 | -0.000690015530276078 |
| 37.0ms | 288× | body | 256 | valid |
Compiled 409 to 279 computations (31.8% saved)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) |
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) |
(/.f64 (/.f64 120 (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 120 x) x) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 6 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 6 (*.f64 x x)) |
1 calls:
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 12.5b | 3 | x |
Compiled 52 to 26 computations (50% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 1.8969124097257554e-6 | 88121.15730578838 |
| 18.0ms | -20.08702676784793 | -0.000690015530276078 |
| 35.0ms | 288× | body | 256 | valid |
Compiled 301 to 225 computations (25.2% saved)
Total -49.1b remaining (-386.5%)
Threshold costs -49.1b (-386.5%)
| Inputs |
|---|
1/2 |
(/.f64 6 (*.f64 x x)) |
| Outputs |
|---|
(/.f64 6 (*.f64 x x)) |
1/2 |
(/.f64 6 (*.f64 x x)) |
1 calls:
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 12.7b | 3 | x |
Compiled 9 to 6 computations (33.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 1.8969124097257554e-6 | 88121.15730578838 |
| 18.0ms | -20.08702676784793 | -0.000690015530276078 |
| 37.0ms | 288× | body | 256 | valid |
Compiled 193 to 153 computations (20.7% saved)
| 1× | egg-herbie |
| 14× | *-commutative |
| 12× | if-if-or-not |
| 10× | +-commutative |
| 8× | sub-neg |
| 4× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 534 |
| 1 | 89 | 534 |
| 2 | 99 | 534 |
| 3 | 103 | 534 |
| 4 | 105 | 534 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))) |
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(if (<=.f64 x -5764607523034235/1152921504606846976) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 4842270319348757/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(if (<=.f64 x -5764607523034235/1152921504606846976) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 4842270319348757/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -5764607523034235/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 4842270319348757/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -5764607523034235/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 4842270319348757/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(if (<=.f64 x -7/2) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) (if (<=.f64 x 3884354678607053/1125899906842624) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)))) |
(if (<=.f64 x -3602879701896397/1125899906842624) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 13/4) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 6 (*.f64 x x)))) |
(if (<=.f64 x -7/2) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3884354678607053/1125899906842624) 1/2 (/.f64 6 (*.f64 x x)))) |
1/2 |
| Outputs |
|---|
(/.f64 1 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))) |
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(if (<=.f64 x -5764607523034235/1152921504606846976) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 4842270319348757/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(if (or (<=.f64 x -5764607523034235/1152921504606846976) (not (<=.f64 x 4842270319348757/1152921504606846976))) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(if (<=.f64 x -5764607523034235/1152921504606846976) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 4842270319348757/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -5764607523034235/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 4842270319348757/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (or (<=.f64 x -5764607523034235/1152921504606846976) (not (<=.f64 x 4842270319348757/1152921504606846976))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(if (<=.f64 x -5764607523034235/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 4842270319348757/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(if (or (<=.f64 x -5764607523034235/1152921504606846976) (not (<=.f64 x 4842270319348757/1152921504606846976))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(if (<=.f64 x -7/2) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) (if (<=.f64 x 3884354678607053/1125899906842624) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)))) |
(if (or (<=.f64 x -7/2) (not (<=.f64 x 3884354678607053/1125899906842624))) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(if (<=.f64 x -3602879701896397/1125899906842624) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 13/4) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 6 (*.f64 x x)))) |
(if (or (<=.f64 x -3602879701896397/1125899906842624) (not (<=.f64 x 13/4))) (/.f64 6 (*.f64 x x)) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(if (<=.f64 x -7/2) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3884354678607053/1125899906842624) 1/2 (/.f64 6 (*.f64 x x)))) |
(if (or (<=.f64 x -7/2) (not (<=.f64 x 3884354678607053/1125899906842624))) (/.f64 6 (*.f64 x x)) 1/2) |
1/2 |
Compiled 203 to 142 computations (30% saved)
| 1× | egg-herbie |
| 552× | div-sub |
| 432× | associate-/l* |
| 432× | associate-+r+ |
| 390× | associate-+l+ |
| 370× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 321 | 5119 |
| 1 | 890 | 4897 |
| 2 | 3946 | 4843 |
| 1× | node limit |
Compiled 15 to 12 computations (20% saved)
Compiled 194 to 122 computations (37.1% saved)
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