Time bar (total: 11.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 5 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 6 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 7 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 8 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 9 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 10 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 11 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 12 |
Compiled 10 to 7 computations (30% saved)
| 1.6s | 2066× | body | 2048 | valid |
| 424.0ms | 3515× | body | 256 | valid |
| 369.0ms | 1450× | body | 512 | valid |
| 339.0ms | 1121× | body | 1024 | valid |
| 105.0ms | 104× | 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 |
|---|---|---|
| ▶ | 29.4b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 9 to 6 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (cos.f64 x) |
| ✓ | 1.2b | (-.f64 1 (cos.f64 x)) |
| ✓ | 12.4b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 20 to 9 computations (55% saved)
9 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 | @ | 0 | (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 | 39 |
| 1 | 190 | 39 |
| 2 | 2636 | 39 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(-.f64 1 (cos.f64 x)) |
(cos.f64 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.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) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(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)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) 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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) 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(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)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 x))))))) |
| 1× | egg-herbie |
| 702× | associate-+l+ |
| 640× | associate-+r+ |
| 628× | distribute-lft-neg-in |
| 580× | distribute-rgt-neg-in |
| 520× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 363 | 5702 |
| 1 | 966 | 5268 |
| 2 | 4673 | 5228 |
| 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))))) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) |
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (pow.f64 x -2)) |
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x)))) |
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(+.f64 1 (neg.f64 (cos.f64 x))) |
(+.f64 (neg.f64 (cos.f64 x)) 1) |
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(*.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) 1) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 1 (cos.f64 x))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 1 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
(+.f64 1 (-.f64 (cos.f64 x) 1)) |
(+.f64 (cos.f64 x) 0) |
(-.f64 (+.f64 1 (cos.f64 x)) 1) |
(*.f64 1 (cos.f64 x)) |
(*.f64 (cos.f64 x) 1) |
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x))) |
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x))) |
(pow.f64 (cos.f64 x) 1) |
(pow.f64 (sqrt.f64 (cos.f64 x)) 2) |
(pow.f64 (cbrt.f64 (cos.f64 x)) 3) |
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3) |
(sqrt.f64 (pow.f64 (cos.f64 x) 2)) |
(log.f64 (exp.f64 (cos.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x)))) |
(cbrt.f64 (pow.f64 (cos.f64 x) 3)) |
(expm1.f64 (log1p.f64 (cos.f64 x))) |
(exp.f64 (log.f64 (cos.f64 x))) |
(log1p.f64 (expm1.f64 (cos.f64 x))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/24))) |
(+.f64 1 (fma.f64 (pow.f64 x 4) 1/24 (*.f64 -1/2 (*.f64 x x)))) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 (pow.f64 x 4) 1/24)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/720)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) 1/24 (*.f64 (pow.f64 x 6) -1/720)))) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 (pow.f64 x 6) -1/720 (*.f64 (pow.f64 x 4) 1/24))) |
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
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(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (cos.f64 x))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) 1) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.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 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 6))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.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 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.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 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.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 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(-.f64 1 (cos.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(fabs.f64 (-.f64 1 (cos.f64 x))) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(-.f64 1 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(-.f64 1 (cos.f64 x)) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(+.f64 1 (-.f64 (cos.f64 x) 1)) |
(+.f64 1 (+.f64 (cos.f64 x) -1)) |
(cos.f64 x) |
(+.f64 (cos.f64 x) 0) |
(+.f64 1 (+.f64 (cos.f64 x) -1)) |
(cos.f64 x) |
(-.f64 (+.f64 1 (cos.f64 x)) 1) |
(+.f64 1 (+.f64 (cos.f64 x) -1)) |
(cos.f64 x) |
(*.f64 1 (cos.f64 x)) |
(+.f64 1 (+.f64 (cos.f64 x) -1)) |
(cos.f64 x) |
(*.f64 (cos.f64 x) 1) |
(+.f64 1 (+.f64 (cos.f64 x) -1)) |
(cos.f64 x) |
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x))) |
(+.f64 1 (+.f64 (cos.f64 x) -1)) |
(cos.f64 x) |
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) |
(+.f64 1 (+.f64 (cos.f64 x) -1)) |
(cos.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x))) |
(+.f64 1 (+.f64 (cos.f64 x) -1)) |
(cos.f64 x) |
(pow.f64 (cos.f64 x) 1) |
(+.f64 1 (+.f64 (cos.f64 x) -1)) |
(cos.f64 x) |
(pow.f64 (sqrt.f64 (cos.f64 x)) 2) |
(+.f64 1 (+.f64 (cos.f64 x) -1)) |
(cos.f64 x) |
(pow.f64 (cbrt.f64 (cos.f64 x)) 3) |
(+.f64 1 (+.f64 (cos.f64 x) -1)) |
(cos.f64 x) |
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3) |
(+.f64 1 (+.f64 (cos.f64 x) -1)) |
(cos.f64 x) |
(sqrt.f64 (pow.f64 (cos.f64 x) 2)) |
(fabs.f64 (cos.f64 x)) |
(log.f64 (exp.f64 (cos.f64 x))) |
(+.f64 1 (+.f64 (cos.f64 x) -1)) |
(cos.f64 x) |
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x)))) |
(+.f64 1 (+.f64 (cos.f64 x) -1)) |
(cos.f64 x) |
(cbrt.f64 (pow.f64 (cos.f64 x) 3)) |
(+.f64 1 (+.f64 (cos.f64 x) -1)) |
(cos.f64 x) |
(expm1.f64 (log1p.f64 (cos.f64 x))) |
(+.f64 1 (+.f64 (cos.f64 x) -1)) |
(cos.f64 x) |
(exp.f64 (log.f64 (cos.f64 x))) |
(+.f64 1 (+.f64 (cos.f64 x) -1)) |
(cos.f64 x) |
(log1p.f64 (expm1.f64 (cos.f64 x))) |
(+.f64 1 (+.f64 (cos.f64 x) -1)) |
(cos.f64 x) |
Compiled 4546 to 2425 computations (46.7% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 221 | 13 | 234 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 221 | 14 | 235 |
| Status | Error | Program |
|---|---|---|
| 29.2b | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) | |
| 29.4b | (/.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) (*.f64 x x)) | |
| 12.9b | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x))))) (*.f64 x x)) | |
| 12.9b | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) | |
| ✓ | 29.4b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 44.1b | (/.f64 (-.f64 1 1) (*.f64 x x)) | |
| ▶ | 12.8b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 29.3b | (-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) | |
| ▶ | 33.5b | (+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) |
| ▶ | 33.7b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| ▶ | 29.4b | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| 29.0b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) | |
| ▶ | 29.4b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 32.7b | 1/2 |
Compiled 293 to 210 computations (28.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| ✓ | 12.3b | (/.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 |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (/.f64 x 2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (/.f64 x 2)) (neg.f64 (sin.f64 x))) (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 4)) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (*.f64 (tan.f64 (/.f64 x 2)) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (*.f64 x x)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 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| 1× | egg-herbie |
| 1736× | associate-/r* |
| 1436× | associate-/l/ |
| 912× | associate-/r/ |
| 858× | distribute-rgt-in |
| 852× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 285 | 5208 |
| 1 | 758 | 4954 |
| 2 | 3210 | 4954 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2)))) |
(*.f64 (tan.f64 (/.f64 x 2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (pow.f64 x -2)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) 1) |
(*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (pow.f64 x -2))) |
(*.f64 (*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) x)) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (tan.f64 (/.f64 x 2)) (neg.f64 (sin.f64 x))) (/.f64 1 (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 4)) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2))) |
(*.f64 (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2))) (sin.f64 x)) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (*.f64 (tan.f64 (/.f64 x 2)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (*.f64 x x)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 2) x) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 2) (pow.f64 (cbrt.f64 x) 4)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (neg.f64 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) 1)) (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 (/.f64 x 2))))) (sqrt.f64 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2))) (cbrt.f64 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))))) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (/.f64 (tan.f64 (/.f64 x 2)) x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (/.f64 (tan.f64 (/.f64 x 2)) x))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 2) (*.f64 x x)) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) 3/2) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) 3) 1/6)) |
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (/.f64 x 2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (/.f64 x 2))) -1/2)) |
(pow.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (/.f64 x 2))) -1) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x (neg.f64 x)))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x (neg.f64 x))) 1)) |
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (/.f64 1 (*.f64 x (neg.f64 x))))) |
(neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x (neg.f64 x))))) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (/.f64 x 2))))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (neg.f64 (sin.f64 x))) (*.f64 x x))) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 4)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2))) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 3) (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) 1) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 1) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x 2))) (cos.f64 (/.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x 2)) (sin.f64 x)) (cos.f64 (/.f64 x 2))) |
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 3) 1/3) |
(neg.f64 (*.f64 (tan.f64 (/.f64 x 2)) (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (/.f64 x 2)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 1/2 (pow.f64 x 2)) |
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(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x)))) |
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(*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 (/.f64 x 2))))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
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(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) x)))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 (/.f64 x 2))))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 x))))) |
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(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
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(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
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(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
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(/.f64 (sin.f64 x) (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))) |
(/.f64 (sin.f64 (/.f64 x 2)) (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 (/.f64 x 2)) (sin.f64 x)) (cos.f64 (/.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))) |
(/.f64 (sin.f64 (/.f64 x 2)) (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))) (sin.f64 x)) |
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 1) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 2) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 3) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 3) 1/3) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(neg.f64 (*.f64 (tan.f64 (/.f64 x 2)) (neg.f64 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2)))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) 3)) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (/.f64 x 2)) 3))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3) (pow.f64 (sin.f64 x) 3))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) 1)) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.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 |
|---|---|---|
| 0.0b | (cos.f64 x) | |
| ✓ | 0.2b | (/.f64 -1 (*.f64 x x)) |
| ✓ | 1.2b | (+.f64 -1 (cos.f64 x)) |
| ✓ | 13.9b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
Compiled 27 to 13 computations (51.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 -1 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 -1 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1048× | *-commutative |
| 902× | unswap-sqr |
| 878× | associate-/r* |
| 580× | swap-sqr |
| 498× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 53 |
| 1 | 221 | 49 |
| 2 | 3002 | 49 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(+.f64 -1 (cos.f64 x)) |
(/.f64 -1 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) (+.f64 1 (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (+.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 x) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 x) (/.f64 (+.f64 x (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) 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| 1× | egg-herbie |
| 1088× | associate-/l* |
| 800× | associate-*r* |
| 792× | associate-*l* |
| 722× | associate-/r* |
| 696× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 584 | 9556 |
| 1 | 1715 | 8576 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8))))) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))))) 1) |
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))) |
(/.f64 -1 (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 -1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) 1) |
(/.f64 1 (/.f64 (*.f64 x x) (+.f64 1 (neg.f64 (cos.f64 x))))) |
(/.f64 1 (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 -1 x) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 (/.f64 -1 x) (/.f64 (+.f64 x (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) -1)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) 1)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (/.f64 -1 x))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 -1 (*.f64 x x)))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) -1)) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) 1)) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 x (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x)) (/.f64 -1 x))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 1 (neg.f64 (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 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x))))) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))))) |
(/.f64 (*.f64 -1 (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) 1))) |
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x) |
(/.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (-.f64 (sqrt.f64 (cos.f64 x)) 1))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) 1) (*.f64 (*.f64 x (neg.f64 x)) (-.f64 (cos.f64 x) -1))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (-.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 x 4)))) (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1))) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (-.f64 (pow.f64 (cos.f64 x) 3) -1))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (-.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 x)) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) -1) |
(/.f64 (*.f64 (/.f64 -1 x) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x (-.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 -1 x) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 x (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) (sin.f64 x))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) 1) (*.f64 x (neg.f64 x))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) x) |
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(*.f64 (/.f64 1 x) (/.f64 -1 x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 -1 (*.f64 x x)))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (*.f64 -1 (cbrt.f64 (/.f64 -1 (*.f64 x x))))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x -2))) (sqrt.f64 (pow.f64 x -2))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (/.f64 (sqrt.f64 -1) x)) |
(*.f64 (neg.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (cbrt.f64 (/.f64 -1 (*.f64 x x)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x)))) (cbrt.f64 (/.f64 -1 (*.f64 x x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x)))) (cbrt.f64 (/.f64 -1 (*.f64 x x))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x)))) |
(pow.f64 (/.f64 -1 (*.f64 x x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3) 1/3) |
(pow.f64 (*.f64 x (neg.f64 x)) -1) |
(neg.f64 (pow.f64 x -2)) |
(sqrt.f64 (/.f64 1 (pow.f64 x 4))) |
(log.f64 (exp.f64 (/.f64 -1 (*.f64 x x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 -1 (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 -1 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (/.f64 -1 (*.f64 x x)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 (pow.f64 x 4) 1/24 (*.f64 -1/2 (*.f64 x x))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6)))) |
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/720))) |
(fma.f64 (pow.f64 x 4) 1/24 (fma.f64 (pow.f64 x 6) -1/720 (*.f64 -1/2 (*.f64 x x)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8))))) |
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/720 (pow.f64 x 6) (*.f64 1/40320 (pow.f64 x 8))))) |
(fma.f64 (pow.f64 x 4) 1/24 (fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 6) -1/720 (*.f64 1/40320 (pow.f64 x 8))))) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -1 (cos.f64 x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))))) 1) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 -1 (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (*.f64 x x)) (-.f64 -1 (cos.f64 x))) |
(/.f64 -1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x) (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x)) |
(/.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) 1) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 1 (/.f64 (*.f64 x x) (+.f64 1 (neg.f64 (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 1 (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 1 (*.f64 (/.f64 (-.f64 -1 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 1 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (*.f64 x (neg.f64 x)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (neg.f64 x) (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x))) |
(/.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 -1 x) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (*.f64 x x)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 -1 x) (/.f64 (+.f64 x (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x) (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x)))) |
(/.f64 1 (*.f64 (/.f64 (-.f64 -1 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x))))) |
(/.f64 1 (*.f64 (/.f64 (-.f64 -1 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))) |
(*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (*.f64 x x)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) -1)) |
(*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (*.f64 x x)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) 1)) |
(/.f64 1 (*.f64 (/.f64 (-.f64 -1 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (/.f64 -1 x))) |
(*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (*.f64 x x)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (/.f64 1 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (*.f64 x (neg.f64 x)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (neg.f64 x) (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(*.f64 (/.f64 1 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (*.f64 x (neg.f64 x)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (neg.f64 x) (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 -1 (*.f64 x x)))) |
(*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x) (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 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) -1)) |
(*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
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(neg.f64 (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x)) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (/.f64 (sqrt.f64 -1) x) (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (/.f64 -1 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (neg.f64 (*.f64 -1 (cbrt.f64 (/.f64 -1 (*.f64 x x)))))) |
(*.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (/.f64 -1 x) (/.f64 1 x)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) -1) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (sqrt.f64 (pow.f64 x -2)) (neg.f64 (sqrt.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2))) (neg.f64 (cbrt.f64 (pow.f64 x -2)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (neg.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (neg.f64 (/.f64 (sqrt.f64 -1) x))) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (/.f64 1 x) (/.f64 -1 x)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 -1 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (*.f64 -1 (cbrt.f64 (/.f64 -1 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x -2))) (sqrt.f64 (pow.f64 x -2))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x -2))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (/.f64 (sqrt.f64 -1) x)) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(*.f64 (neg.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (cbrt.f64 (/.f64 -1 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x)))) (cbrt.f64 (/.f64 -1 (*.f64 x x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x)))) (cbrt.f64 (/.f64 -1 (*.f64 x x))))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (cbrt.f64 (/.f64 (sqrt.f64 -1) x)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x)))))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x)))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))))) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (cbrt.f64 (/.f64 (sqrt.f64 -1) x)))) |
(pow.f64 (/.f64 -1 (*.f64 x x)) 1) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) 3) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(pow.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3) 1/3) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(pow.f64 (*.f64 x (neg.f64 x)) -1) |
(/.f64 1 (*.f64 x (neg.f64 x))) |
(/.f64 (/.f64 1 x) (neg.f64 x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (*.f64 x x)) |
(sqrt.f64 (/.f64 1 (pow.f64 x 4))) |
(log.f64 (exp.f64 (/.f64 -1 (*.f64 x x)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (*.f64 x x))))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(expm1.f64 (log1p.f64 (/.f64 -1 (*.f64 x x)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(exp.f64 (log.f64 (/.f64 -1 (*.f64 x x)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (/.f64 -1 (*.f64 x x)))) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (pow.f64 x -2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (cos.f64 x) | |
| ✓ | 0.0b | (pow.f64 x -2) |
| 1.2b | (-.f64 1 (cos.f64 x)) | |
| ✓ | 13.9b | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
Compiled 21 to 13 computations (38.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (pow.f64 x -2) |
| 0.0ms | x | @ | inf | (pow.f64 x -2) |
| 0.0ms | x | @ | 0 | (pow.f64 x -2) |
| 0.0ms | x | @ | 0 | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | inf | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1984× | add-sqr-sqrt |
| 1956× | *-un-lft-identity |
| 1826× | add-cube-cbrt |
| 1806× | add-cbrt-cube |
| 196× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 1 | 207 | 30 |
| 2 | 2475 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(pow.f64 x -2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2))))))) |
| 1× | egg-herbie |
| 1514× | associate-/l* |
| 1424× | associate-*r* |
| 1228× | associate-*l* |
| 1116× | associate-/r* |
| 594× | associate-/r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 1259 |
| 1 | 251 | 1105 |
| 2 | 853 | 1087 |
| 3 | 5447 | 1087 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1) |
(*.f64 (pow.f64 x -2) 1) |
(*.f64 1 (pow.f64 x -2)) |
(*.f64 (/.f64 1 x) (/.f64 1 x)) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4))) |
(*.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) -2)) |
(sqrt.f64 (pow.f64 x -4)) |
(log.f64 (exp.f64 (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2)))) |
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 x -2))) |
(exp.f64 (*.f64 -2 (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 x -2))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) 1/2)) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) (*.f64 -1/40320 (pow.f64 x 6))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (pow.f64 x -2) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x) 1))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (pow.f64 x -2) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x) 1))) |
(pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (pow.f64 x -2) 1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 1 (pow.f64 x -2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (/.f64 1 x) (/.f64 1 x)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4))) |
(*.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4))) |
(*.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) -2)) |
(sqrt.f64 (pow.f64 x -4)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(log.f64 (exp.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2)))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(expm1.f64 (log1p.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(exp.f64 (*.f64 -2 (log.f64 x))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(exp.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(log1p.f64 (expm1.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 -1/24 (*.f64 x x)) | |
| ✓ | 14.8b | (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
Compiled 39 to 24 computations (38.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
| 0.0ms | x | @ | 0 | (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
| 0.0ms | x | @ | -inf | (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 1894× | add-sqr-sqrt |
| 1860× | *-un-lft-identity |
| 1744× | add-cube-cbrt |
| 1732× | add-cbrt-cube |
| 204× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 27 |
| 1 | 228 | 27 |
| 2 | 2491 | 27 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 1/720 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) 1) (*.f64 -1/24 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) 2) (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 1/576)) (-.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 4)) 3) (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))))))) |
| 1× | egg-herbie |
| 1054× | distribute-lft-in |
| 972× | distribute-rgt-in |
| 880× | times-frac |
| 690× | *-commutative |
| 538× | associate-/l* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 1055 |
| 1 | 176 | 1005 |
| 2 | 783 | 993 |
| 3 | 2568 | 987 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 1/720 (pow.f64 x 4)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 1/720 (pow.f64 x 4)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) 1) (*.f64 -1/24 (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))) 1) |
(*.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) 1) |
(*.f64 1 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) 2) (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 1/576)) (-.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 4)) 3) (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x)))))) |
(pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) 2)) |
(log.f64 (exp.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))))) |
(cbrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))) |
(exp.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.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 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 1/720 (pow.f64 x 4)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 1/720 (pow.f64 x 4)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) 1) (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))) 1) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) 1) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 1 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) 2)) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) 2) (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 1/576)) (-.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 1/518400 (*.f64 (pow.f64 x 4) (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 1/576)) (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/24 (*.f64 x x)))) |
(/.f64 (fma.f64 1/518400 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 1/720 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/24))) |
(/.f64 (fma.f64 1/518400 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x 1/24)))) |
(*.f64 (/.f64 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x 1/24)))) (fma.f64 (pow.f64 x 4) 1/518400 -1/576)) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 4)) 3) (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x)))))) |
(/.f64 (+.f64 (*.f64 1/373248000 (pow.f64 (pow.f64 x 4) 3)) (*.f64 -1/13824 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 1/518400 (*.f64 (pow.f64 x 4) (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 1/720 (*.f64 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))))) |
(/.f64 (fma.f64 1/373248000 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) (fma.f64 1/518400 (pow.f64 x 8) (fma.f64 (pow.f64 x 4) 1/576 (*.f64 -1/720 (*.f64 (pow.f64 (*.f64 x x) 3) -1/24))))) |
(/.f64 (fma.f64 1/373248000 (pow.f64 (pow.f64 x 4) 3) (*.f64 -1/13824 (pow.f64 x 6))) (fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 1/518400 1/576) (*.f64 1/720 (*.f64 (pow.f64 x 6) 1/24)))) |
(/.f64 (fma.f64 1/373248000 (pow.f64 x 12) (*.f64 -1/13824 (pow.f64 x 6))) (fma.f64 (pow.f64 x 4) 1/576 (fma.f64 1/720 (*.f64 1/24 (pow.f64 x 6)) (*.f64 1/518400 (pow.f64 x 8))))) |
(pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) 1) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(pow.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) 2) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) 3) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(pow.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) 3) 1/3) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(sqrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) 2)) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(log.f64 (exp.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(cbrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) 3)) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(expm1.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(exp.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) 1)) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(log1p.f64 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
Compiled 14918 to 8895 computations (40.4% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 790 | 8 | 798 |
| Fresh | 4 | 4 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 796 | 16 | 812 |
| Status | Error | Program |
|---|---|---|
| 29.2b | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) | |
| 28.9b | (/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) | |
| 29.0b | (/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) | |
| ✓ | 29.4b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| ▶ | 44.1b | (/.f64 (-.f64 1 1) (*.f64 x x)) |
| ✓ | 12.8b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 29.6b | (/.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x))))) | |
| ▶ | 33.7b | (+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
| 33.5b | (+.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x)))) | |
| ✓ | 33.7b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| ▶ | 29.4b | (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))) |
| ▶ | 29.0b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| ▶ | 13.5b | (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) |
| ✓ | 29.4b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 47.3b | (*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) | |
| 32.7b | 1/2 |
Compiled 296 to 216 computations (27% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) |
| ✓ | 12.6b | (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
Compiled 34 to 18 computations (47.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 1474× | associate-/r* |
| 1206× | associate-/l* |
| 1114× | *-commutative |
| 670× | swap-sqr |
| 250× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 56 |
| 1 | 236 | 56 |
| 2 | 3121 | 56 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) x) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (*.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) (*.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 (/.f64 x 2))) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (pow.f64 x -2)) (sqrt.f64 (tan.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (tan.f64 (/.f64 x 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (tan.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) 1) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) x) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (*.f64 x x)) (sqrt.f64 (tan.f64 (/.f64 x 2))))))) (#(struct:change 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| 1× | egg-herbie |
| 1582× | unswap-sqr |
| 676× | distribute-rgt-in |
| 672× | distribute-lft-in |
| 540× | associate-/l* |
| 470× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 376 | 5886 |
| 1 | 995 | 5748 |
| 2 | 3930 | 5748 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/2 x) |
(+.f64 (*.f64 1/24 x) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/240 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 17/40320 (pow.f64 x 5)) (*.f64 1/240 (pow.f64 x 3))))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)))) 1) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) 1) |
(*.f64 1 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) x) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) x)) |
(*.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (*.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)))) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) (*.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (pow.f64 x -2))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2))) |
(*.f64 (neg.f64 (tan.f64 (/.f64 x 2))) (/.f64 -1 (*.f64 x x))) |
(*.f64 (*.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (pow.f64 x -2)) (sqrt.f64 (tan.f64 (/.f64 x 2)))) |
(*.f64 (*.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2)) |
(*.f64 (/.f64 1 x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) 1) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (*.f64 x x))) |
(*.f64 (/.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) x) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) x)) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (*.f64 x x)) (sqrt.f64 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (*.f64 x x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) 1)) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) x) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) x)) |
(*.f64 (/.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) (*.f64 x x)) (cbrt.f64 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2))) (cbrt.f64 (tan.f64 (/.f64 x 2)))) |
(pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 x (tan.f64 (/.f64 x 2))) x) -1) |
(neg.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x (neg.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x (neg.f64 x))) 1)) |
(neg.f64 (*.f64 (tan.f64 (/.f64 x 2)) (/.f64 -1 (*.f64 x x)))) |
(neg.f64 (*.f64 1 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x (neg.f64 x))))) |
(sqrt.f64 (/.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2) (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 (tan.f64 (/.f64 x 2))) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3) (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)))) 1) |
(/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (*.f64 x x) (sin.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (/.f64 x 2))) x)) |
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) 1) |
(/.f64 1 (/.f64 x (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 x (sin.f64 x))))) |
(/.f64 1 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (*.f64 (/.f64 x (tan.f64 (/.f64 x 2))) x) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (sqrt.f64 (tan.f64 (/.f64 x 2))))) |
(/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (sqrt.f64 (tan.f64 (/.f64 x 2)))))) |
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (*.f64 (/.f64 x (tan.f64 (/.f64 x 2))) x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (*.f64 (/.f64 x (tan.f64 (/.f64 x 2))) x) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cbrt.f64 (tan.f64 (/.f64 x 2))))) |
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (cbrt.f64 (tan.f64 (/.f64 x 2)))))) |
(/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 x (sin.f64 x))) |
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) (/.f64 (*.f64 x (neg.f64 x)) (sin.f64 x))) |
(/.f64 (sin.f64 (/.f64 x 2)) (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (/.f64 1 (cos.f64 (/.f64 x 2))))) |
(/.f64 (sin.f64 (/.f64 x 2)) (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 (/.f64 x 2)))) |
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x))) (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x)))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x))))) |
(/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) x)) x) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (/.f64 x 2)))) (*.f64 x (neg.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x 2))) (*.f64 (*.f64 x x) (cos.f64 (/.f64 x 2)))) |
(/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 x (sin.f64 x))) x) |
(/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x 2))) (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (neg.f64 (cos.f64 (/.f64 x 2))))) |
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 (/.f64 x 2)))) (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 (/.f64 x 2)))))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x 2)))) |
(/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 1 (tan.f64 (/.f64 x 2)))) |
(/.f64 (/.f64 (sin.f64 x) 1) (*.f64 (/.f64 x (tan.f64 (/.f64 x 2))) x)) |
(/.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (*.f64 (/.f64 x (tan.f64 (/.f64 x 2))) x))) (sqrt.f64 (*.f64 (/.f64 x (tan.f64 (/.f64 x 2))) x))) |
(/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (*.f64 (/.f64 x (tan.f64 (/.f64 x 2))) x)) (cbrt.f64 (*.f64 (/.f64 x (tan.f64 (/.f64 x 2))) x)))) (cbrt.f64 (*.f64 (/.f64 x (tan.f64 (/.f64 x 2))) x))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 (tan.f64 (/.f64 x 2))))) (/.f64 x (sqrt.f64 (tan.f64 (/.f64 x 2))))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 x (/.f64 (sin.f64 (/.f64 x 2)) x))) (cos.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2))) (/.f64 x (cbrt.f64 (tan.f64 (/.f64 x 2))))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2))))) (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 (/.f64 x 2))))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2))) (/.f64 (*.f64 x x) (cbrt.f64 (tan.f64 (/.f64 x 2))))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) 1)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (tan.f64 (/.f64 x 2)))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (tan.f64 (/.f64 x 2))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (tan.f64 (/.f64 x 2))))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (tan.f64 (/.f64 x 2))))) |
(/.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) x)) 1) x) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) x)) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (/.f64 x 2)))) x) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (/.f64 x 2)))) 1) (*.f64 x (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (/.f64 x 2)))) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (/.f64 x 2)))) (neg.f64 x)) x) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (/.f64 x 2)))) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (/.f64 x 2)))) (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (/.f64 x 2)))) -1) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (/.f64 x 2)))) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 x (sin.f64 x))) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 x (sin.f64 x))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 x (sin.f64 x))) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) 1) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(pow.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) 3) 1/3) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x (neg.f64 x))) (sin.f64 x))) |
(neg.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x (neg.f64 x))))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x)) (*.f64 x (neg.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) 2)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (tan.f64 (/.f64 x 2))) (pow.f64 x -2)) (sin.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)))) |
| Outputs |
|---|
(/.f64 1/2 x) |
(+.f64 (*.f64 1/24 x) (*.f64 1/2 (/.f64 1 x))) |
(fma.f64 1/24 x (/.f64 1/2 x)) |
(fma.f64 x 1/24 (/.f64 1/2 x)) |
(+.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/240 (pow.f64 x 3)))) |
(+.f64 (fma.f64 1/24 x (/.f64 1/2 x)) (*.f64 1/240 (pow.f64 x 3))) |
(fma.f64 x 1/24 (fma.f64 1/240 (pow.f64 x 3) (/.f64 1/2 x))) |
(+.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 17/40320 (pow.f64 x 5)) (*.f64 1/240 (pow.f64 x 3))))) |
(+.f64 (fma.f64 1/24 x (/.f64 1/2 x)) (fma.f64 17/40320 (pow.f64 x 5) (*.f64 1/240 (pow.f64 x 3)))) |
(+.f64 (fma.f64 x 1/24 (/.f64 1/2 x)) (fma.f64 1/240 (pow.f64 x 3) (*.f64 17/40320 (pow.f64 x 5)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) (*.f64 x x)) (cos.f64 (*.f64 1/2 x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)))) 1) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) 1) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(*.f64 1 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) x) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) x)) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(*.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (*.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (pow.f64 x -2))) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) 2)) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)))) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) (*.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (pow.f64 x -2))) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 1 x)) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2))) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(*.f64 (neg.f64 (tan.f64 (/.f64 x 2))) (/.f64 -1 (*.f64 x x))) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (pow.f64 x -2)) (sqrt.f64 (tan.f64 (/.f64 x 2)))) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2)) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (tan.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (tan.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (tan.f64 (/.f64 x 2)))) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) 1) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (*.f64 x x))) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (*.f64 x x))) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(*.f64 (/.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) x) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) x)) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (*.f64 x x)) (sqrt.f64 (tan.f64 (/.f64 x 2)))) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (*.f64 x x)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) 1)) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (tan.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (tan.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) x) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) x)) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
(*.f64 (/.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) 1)) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) |
(*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)) |
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(/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (tan.f64 (/.f64 x 2))))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x)))) |
(/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (tan.f64 (/.f64 x 2))))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 x 4))))) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (cbrt.f64 (pow.f64 x 4)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (tan.f64 (/.f64 x 2)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sin.f64 x)))) |
(/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (tan.f64 (/.f64 x 2))))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))) |
(pow.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) 1) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (/.f64 x 2))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x))) x) 2) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (*.f64 x x)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x))) 3) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (/.f64 x 2))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) 3) 1/3) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (/.f64 x 2))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x (neg.f64 x))) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (/.f64 x 2))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x (neg.f64 x))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (/.f64 x 2))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x)) (*.f64 x (neg.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (/.f64 x 2))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) 2)) |
(fabs.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (/.f64 x 2)))) |
(fabs.f64 (*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (tan.f64 (/.f64 x 2))) (pow.f64 x -2)) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (/.f64 x 2))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (/.f64 x 2))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) 3)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (/.f64 x 2))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) 3) (pow.f64 (sin.f64 x) 3))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (/.f64 x 2))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (/.f64 x 2))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (/.f64 x 2))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (/.f64 x 2))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 12.3b | (/.f64 (-.f64 1 1) (*.f64 x x)) |
Compiled 16 to 10 computations (37.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 1) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 1) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 1) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1034× | associate-*r* |
| 860× | add-sqr-sqrt |
| 844× | *-un-lft-identity |
| 800× | pow1 |
| 784× | add-cube-cbrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 1 |
| 1 | 138 | 1 |
| 2 | 1231 | 1 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 1) (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x . 0))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 13 |
| 1× | saturated |
| Inputs |
|---|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
| Outputs |
|---|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 -1/24 (*.f64 x x)) | |
| ✓ | 1.0b | (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
Compiled 40 to 25 computations (37.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
| 1× | batch-egg-rewrite |
| 1858× | add-sqr-sqrt |
| 1830× | *-un-lft-identity |
| 1726× | add-cube-cbrt |
| 1716× | add-cbrt-cube |
| 190× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 198 | 13 |
| 2 | 2638 | 13 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 -1/24 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/24 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/24 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/24 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 -1/24 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) -1/24)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/24 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/24 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/24 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/24 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/24 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/24 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2) (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)) (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) -1) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) -1) (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) (-.f64 1 (*.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (fma.f64 -1/24 (*.f64 x x) -1))) (-.f64 1 (fma.f64 -1/24 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (fma.f64 -1/24 (*.f64 x x) -1)) (fma.f64 -1/24 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/24 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x)))) 2) (cbrt.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x)))) -1))))) |
| 1× | egg-herbie |
| 1322× | associate-/l* |
| 952× | associate-/r* |
| 888× | associate-*r* |
| 870× | associate-*l* |
| 712× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 1716 |
| 1 | 304 | 1550 |
| 2 | 982 | 1538 |
| 3 | 4497 | 1538 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(+.f64 1 (fma.f64 -1/24 (*.f64 x x) -1)) |
(+.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1)) |
(+.f64 (*.f64 -1/24 (*.f64 x x)) 0) |
(+.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) -1) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1) |
(+.f64 -1 (+.f64 1 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 1 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 (*.f64 x x) -1/24) |
(*.f64 (*.f64 -1/24 (*.f64 x x)) 1) |
(*.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) -1/24)) |
(*.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))) |
(*.f64 (*.f64 -1/24 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 -1/24 x) 1) x) |
(*.f64 (*.f64 (*.f64 -1/24 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 -1/24 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(*.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) 1)) |
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2) (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) -1))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)) (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 3) -1))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) -1) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) -1) (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) -1)) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) (-.f64 1 (*.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) -1)))) |
(/.f64 (-.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (fma.f64 -1/24 (*.f64 x x) -1))) (-.f64 1 (fma.f64 -1/24 (*.f64 x x) -1))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (fma.f64 -1/24 (*.f64 x x) -1)) (fma.f64 -1/24 (*.f64 x x) -1)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))) |
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2) |
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3) |
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576)) |
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/24)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (*.f64 x x))))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))) |
(fma.f64 1 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) -1) |
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x)))) 2) (cbrt.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x)))) -1) |
| Outputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(+.f64 1 (fma.f64 -1/24 (*.f64 x x) -1)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(+.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(+.f64 (*.f64 -1/24 (*.f64 x x)) 0) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(+.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) -1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(+.f64 -1 (+.f64 1 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 1 (*.f64 -1/24 (*.f64 x x))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 (*.f64 x x) -1/24) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 (*.f64 -1/24 (*.f64 x x)) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) -1/24)) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -1/24 (cbrt.f64 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 -1/24 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 -1/24 x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 -1/24 x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576))) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2)) (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (fma.f64 -1/24 (*.f64 x x) 2)) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)) (fma.f64 x (*.f64 -1/24 x) 2)) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) (fma.f64 -1/24 (*.f64 x x) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 3)) (+.f64 2 (fma.f64 -1/24 (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 3)) (+.f64 1 (*.f64 (fma.f64 x (*.f64 -1/24 x) 1) (fma.f64 x (*.f64 -1/24 x) 2)))) |
(*.f64 (*.f64 -1/24 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -1/24 (cbrt.f64 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 -1/24 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (*.f64 (*.f64 -1/24 x) 1) x) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 (*.f64 (*.f64 -1/24 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(*.f64 (*.f64 (*.f64 -1/24 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(*.f64 -1/24 (*.f64 x (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (*.f64 (cbrt.f64 x) x) -1/24)) |
(*.f64 -1/24 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) 1)) |
(*.f64 (+.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24)))) (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) -1)) |
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) -1) |
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2) (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2)) (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (fma.f64 -1/24 (*.f64 x x) 2)) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)) (fma.f64 x (*.f64 -1/24 x) 2)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)) (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 3) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) (fma.f64 -1/24 (*.f64 x x) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 3)) (+.f64 2 (fma.f64 -1/24 (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 3)) (+.f64 1 (*.f64 (fma.f64 x (*.f64 -1/24 x) 1) (fma.f64 x (*.f64 -1/24 x) 2)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) -1) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2)) (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (fma.f64 -1/24 (*.f64 x x) 2)) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)) (fma.f64 x (*.f64 -1/24 x) 2)) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) -1) (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) -1)) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2)) (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (fma.f64 -1/24 (*.f64 x x) 2)) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)) (fma.f64 x (*.f64 -1/24 x) 2)) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) (fma.f64 -1/24 (*.f64 x x) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 3)) (+.f64 2 (fma.f64 -1/24 (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 3)) (+.f64 1 (*.f64 (fma.f64 x (*.f64 -1/24 x) 1) (fma.f64 x (*.f64 -1/24 x) 2)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) (-.f64 1 (*.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) -1)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) (fma.f64 -1/24 (*.f64 x x) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 3)) (+.f64 2 (fma.f64 -1/24 (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 3)) (+.f64 1 (*.f64 (fma.f64 x (*.f64 -1/24 x) 1) (fma.f64 x (*.f64 -1/24 x) 2)))) |
(/.f64 (-.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (fma.f64 -1/24 (*.f64 x x) -1))) (-.f64 1 (fma.f64 -1/24 (*.f64 x x) -1))) |
(/.f64 (fma.f64 (fma.f64 x (*.f64 -1/24 x) -1) (fma.f64 x (*.f64 x 1/24) 1) 1) (+.f64 (*.f64 x (*.f64 x 1/24)) 2)) |
(/.f64 (fma.f64 (fma.f64 x (*.f64 -1/24 x) -1) (fma.f64 x (*.f64 x 1/24) 1) 1) (+.f64 2 (*.f64 x (*.f64 x 1/24)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (fma.f64 -1/24 (*.f64 x x) -1)) (fma.f64 -1/24 (*.f64 x x) -1)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) -1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (-.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) -1) 3)) (fma.f64 (fma.f64 x (*.f64 -1/24 x) -1) (+.f64 (*.f64 x (*.f64 -1/24 x)) -2) 1)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2)) (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (fma.f64 -1/24 (*.f64 x x) 2)) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)) (fma.f64 x (*.f64 -1/24 x) 2)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 2) (fma.f64 -1/24 (*.f64 x x) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 3)) (+.f64 2 (fma.f64 -1/24 (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 3)) (+.f64 1 (*.f64 (fma.f64 x (*.f64 -1/24 x) 1) (fma.f64 x (*.f64 -1/24 x) 2)))) |
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) |
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/13824)) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576)) |
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/24)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (*.f64 x x))))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) |
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/13824)) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))) 1)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(fma.f64 1 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) -1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) -1) |
(*.f64 (+.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24)))) (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) -1)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x)))) 2) (cbrt.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x)))) -1) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (cos.f64 x) | |
| ✓ | 0.1b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| ✓ | 0.1b | (/.f64 (-.f64 1 (cos.f64 x)) x) |
| 1.2b | (-.f64 1 (cos.f64 x)) |
Compiled 28 to 16 computations (42.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 (cos.f64 x)) x) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 (cos.f64 x)) x) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 (cos.f64 x)) x) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1518× | associate-/l* |
| 1508× | associate-/r* |
| 1040× | *-commutative |
| 644× | associate-/l/ |
| 484× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 40 |
| 1 | 218 | 40 |
| 2 | 2976 | 40 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 1 (neg.f64 (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (neg.f64 (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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(-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 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x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (/.f64 (cos.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (/.f64 (cos.f64 x) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (neg.f64 x)) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (neg.f64 (*.f64 x x)) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 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(-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (/.f64 1 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))))))) |
| 1× | egg-herbie |
| 1478× | associate-/l* |
| 1086× | times-frac |
| 1020× | associate-/r* |
| 738× | associate-/l/ |
| 676× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 615 | 10333 |
| 1 | 1851 | 9883 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 1 x) (*.f64 1 (neg.f64 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) |
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) 1)) |
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x))) |
(+.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(+.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x)) |
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 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 (neg.f64 (/.f64 (cos.f64 x) x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x))) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) |
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (pow.f64 x -1/2) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2))) |
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)) (pow.f64 x -1/2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x))) |
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.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)) (sqrt.f64 x)) (pow.f64 x -1/2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 1 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) -1) |
(*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
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(/.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (/.f64 (cbrt.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x)) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) 1) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) -1) x) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) 1) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) -1) x) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) 1) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) 1) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 -1 (+.f64 -1 (cos.f64 x))) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1) (neg.f64 x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) -1) x) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(pow.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 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 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5))))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (*.f64 x (*.f64 x -1/24))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (/.f64 1 x) (*.f64 1 (neg.f64 (/.f64 (cos.f64 x) x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (neg.f64 (/.f64 (cos.f64 x) x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (neg.f64 (/.f64 (cos.f64 x) x)))) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (pow.f64 x -1/2) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1)) |
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)) (pow.f64 x -1/2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) |
(*.f64 (*.f64 (/.f64 1 x) (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) (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 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)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (pow.f64 x -1/2)) |
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 1 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)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) -1) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.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))) x)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))) |
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(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) x) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) 1) (sqrt.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x))) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) 1) (cbrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) x) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (*.f64 -1 (+.f64 -1 (cos.f64 x))) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1) (neg.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) x) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) -1) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) x) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) |
(pow.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))) 3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) 3) 1/3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) 3)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (/.f64 1 (pow.f64 x 3)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (cos.f64 x) | |
| ✓ | 0.1b | (/.f64 (/.f64 1 x) (neg.f64 x)) |
| 1.2b | (+.f64 -1 (cos.f64 x)) | |
| ✓ | 13.9b | (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))) |
Compiled 32 to 18 computations (43.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 1 x) (neg.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 1 x) (neg.f64 x)) |
| 1× | batch-egg-rewrite |
| 1458× | associate-/r* |
| 1050× | *-commutative |
| 1042× | associate-/l* |
| 500× | distribute-lft-in |
| 476× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 50 |
| 1 | 259 | 30 |
| 2 | 3629 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 1 x) (neg.f64 x)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) 2) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) 2) (*.f64 -1 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 1 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) 2)) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) x) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (pow.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) x) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) -1) (/.f64 (pow.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)) (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (-.f64 0 (pow.f64 x 3))) (+.f64 0 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 1 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 1 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 1 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))))))) |
| 1× | egg-herbie |
| 812× | associate-/l* |
| 716× | associate-/r* |
| 672× | associate-/l/ |
| 578× | associate-+r+ |
| 572× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 456 | 8122 |
| 1 | 1330 | 6888 |
| 2 | 6397 | 6888 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(+.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (cos.f64 x))) |
(+.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (cos.f64 x)) (/.f64 (/.f64 1 x) (neg.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) (-.f64 1 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (cos.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))))) 1) |
(-.f64 (+.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (cos.f64 x)) (exp.f64 (log1p.f64 (/.f64 (/.f64 1 x) (neg.f64 x))))) 1) |
(/.f64 1 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) x)) |
(/.f64 1 (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 x x) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (/.f64 1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 1 x) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 (/.f64 1 x) (/.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x)))) |
(/.f64 -1 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))) 1) |
(/.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))) -1) |
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (pow.f64 x -1/2))) |
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (neg.f64 (pow.f64 x -1/2)))) |
(/.f64 (pow.f64 x -1/2) (/.f64 x (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -1/2)))) |
(/.f64 (pow.f64 x -1/2) (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 1 x) (sqrt.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 x) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))))) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (/.f64 1 (cbrt.f64 x)))) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (neg.f64 (/.f64 1 (cbrt.f64 x))))) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 x (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 1 (cbrt.f64 x))))) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (cbrt.f64 x))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x x) (/.f64 1 (-.f64 -1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 -1 (cos.f64 x)) (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) 1)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (/.f64 1 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 x (*.f64 x (-.f64 -1 (cos.f64 x))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 x x) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (*.f64 x x) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))) 1)) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))) (/.f64 1 x))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (*.f64 x (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) 2)) (/.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (/.f64 (*.f64 (*.f64 x x) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (/.f64 x (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (*.f64 (*.f64 x x) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))) (/.f64 x (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)))) |
(/.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x (-.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (*.f64 x (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x))))) |
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 x (+.f64 -1 (cos.f64 x)))) (cbrt.f64 x)) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 x (+.f64 -1 (cos.f64 x)))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (neg.f64 (pow.f64 x -1/2)) (/.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (pow.f64 x -1/2))) |
(/.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) (/.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (/.f64 1 (cbrt.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (pow.f64 x -1/2)) (/.f64 x (*.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (pow.f64 x -1/2)))) |
(/.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 (*.f64 x x) (-.f64 (sqrt.f64 (cos.f64 x)) 1))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) 1) (*.f64 (*.f64 x x) (-.f64 (cos.f64 x) -1))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 (*.f64 x x) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))) (-.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) 2) (*.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (cos.f64 x)) (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (cos.f64 x)))) (-.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (cos.f64 x)))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (*.f64 (*.f64 x x) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))) (-.f64 (+.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 (pow.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) 3) (pow.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (cos.f64 x)) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) 2) (-.f64 (*.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (cos.f64 x)) (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (cos.f64 x))) (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (cos.f64 x)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x (*.f64 x (-.f64 -1 (cos.f64 x))))) |
(/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (cos.f64 x) 3))) (*.f64 x (*.f64 x (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (*.f64 x x) (neg.f64 (-.f64 -1 (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 x x) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))))) |
(/.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) x) |
(/.f64 (pow.f64 (sqrt.f64 x) -1) (/.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (pow.f64 (sqrt.f64 x) -1))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (/.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) -1))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) (sin.f64 x))) |
(/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) 1) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) -1) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 -1 (sqrt.f64 x))) (*.f64 x (sqrt.f64 x))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (cbrt.f64 (pow.f64 x -1/2)))) (*.f64 (sqrt.f64 x) (cbrt.f64 x))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (*.f64 -1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 x x)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sin.f64 x))) x) (-.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) x) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1) (-.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 -1 (cos.f64 x)))) (sqrt.f64 (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.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 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) 1) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) 1) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 -1)) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 x (+.f64 -1 (cos.f64 x)))) 1) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 x (+.f64 -1 (cos.f64 x)))) -1) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 x (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 x (+.f64 -1 (cos.f64 x)))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 x (+.f64 -1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 x (+.f64 -1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) 1) x) |
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) -1) x) |
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (*.f64 -1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(pow.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))) 1) |
(pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (+.f64 -1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) (pow.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))))) |
(fma.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (cos.f64 x))) |
(fma.f64 -1 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (cos.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) 1) |
(*.f64 1 (/.f64 (/.f64 1 x) (neg.f64 x))) |
(*.f64 (/.f64 1 x) (/.f64 1 x)) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) 1) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1) |
(*.f64 -1 (/.f64 (/.f64 1 x) (neg.f64 x))) |
(*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 x -1/2) x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) 2) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) 2) (*.f64 -1 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))))) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) 2))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 x 3)) x) |
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) 2)) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(*.f64 (*.f64 -1 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) 2)) |
(*.f64 (/.f64 (pow.f64 x -1/2) x) (pow.f64 x -1/2)) |
(*.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (pow.f64 x -1/2) -1)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) x) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -1/2) -1) (/.f64 (pow.f64 x -1/2) x)) |
(*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)) (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (-.f64 0 (pow.f64 x 3))) (+.f64 0 (*.f64 x x))) |
(pow.f64 x -2) |
(pow.f64 (/.f64 1 x) 2) |
(pow.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) 1) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) 3) 1/3) |
(pow.f64 (*.f64 x x) -1) |
(neg.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 x) (neg.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 (*.f64 -1/24 x) x))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) x) x) |
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) 1) |
(/.f64 (/.f64 1 x) (neg.f64 x)) |
(*.f64 -1 (pow.f64 x -2)) |
(*.f64 1 (/.f64 (/.f64 1 x) (neg.f64 x))) |
(/.f64 (/.f64 1 x) (neg.f64 x)) |
(*.f64 -1 (pow.f64 x -2)) |
(*.f64 (/.f64 1 x) (/.f64 1 x)) |
(pow.f64 (/.f64 1 x) 2) |
(pow.f64 x -2) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) 1) |
(/.f64 (/.f64 1 x) (neg.f64 x)) |
(*.f64 -1 (pow.f64 x -2)) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1) |
(neg.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) |
(*.f64 1 (pow.f64 x -2)) |
(*.f64 -1 (/.f64 (/.f64 1 x) (neg.f64 x))) |
(neg.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) |
(*.f64 1 (pow.f64 x -2)) |
(*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 x -1/2) x)) |
(pow.f64 (/.f64 1 x) 2) |
(pow.f64 x -2) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) 2) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(/.f64 (/.f64 1 x) (neg.f64 x)) |
(*.f64 -1 (pow.f64 x -2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) 2) (*.f64 -1 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))))) |
(neg.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) |
(*.f64 1 (pow.f64 x -2)) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))))) |
(/.f64 (cbrt.f64 (*.f64 -1 (pow.f64 x -2))) (*.f64 x (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) 2)) |
(/.f64 (/.f64 1 x) (neg.f64 x)) |
(*.f64 -1 (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) 2))) |
(neg.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) |
(*.f64 1 (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))))) |
(/.f64 (cbrt.f64 (*.f64 -1 (pow.f64 x -2))) (*.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 x 3)) x) |
(*.f64 x (/.f64 1 (pow.f64 x 3))) |
(/.f64 x (pow.f64 x 3)) |
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))))) |
(/.f64 (cbrt.f64 (*.f64 -1 (pow.f64 x -2))) (*.f64 x (cbrt.f64 x))) |
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) 2)) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(neg.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) |
(*.f64 1 (pow.f64 x -2)) |
(*.f64 (*.f64 -1 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) 2)) |
(neg.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) |
(*.f64 1 (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 x -1/2) x) (pow.f64 x -1/2)) |
(pow.f64 (/.f64 1 x) 2) |
(pow.f64 x -2) |
(*.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (pow.f64 x -1/2) -1)) |
(/.f64 (/.f64 1 x) (neg.f64 x)) |
(*.f64 -1 (pow.f64 x -2)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) x) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))))) |
(/.f64 (cbrt.f64 (*.f64 -1 (pow.f64 x -2))) (*.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -1/2) -1) (/.f64 (pow.f64 x -1/2) x)) |
(/.f64 (/.f64 1 x) (neg.f64 x)) |
(*.f64 -1 (pow.f64 x -2)) |
(*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))))) |
(/.f64 (cbrt.f64 (*.f64 -1 (pow.f64 x -2))) (*.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 x)) x)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x (cbrt.f64 (sqrt.f64 x)))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)) (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 x)) x)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x (cbrt.f64 (sqrt.f64 x)))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (-.f64 0 (pow.f64 x 3))) (+.f64 0 (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 1 x) (*.f64 x x)) (neg.f64 (pow.f64 x 3))) |
(/.f64 (*.f64 x x) (neg.f64 (pow.f64 x 4))) |
(pow.f64 x -2) |
(pow.f64 (/.f64 1 x) 2) |
(pow.f64 (/.f64 1 x) 2) |
(pow.f64 x -2) |
(pow.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) 1) |
(/.f64 (/.f64 1 x) (neg.f64 x)) |
(*.f64 -1 (pow.f64 x -2)) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) 3) |
(/.f64 (/.f64 1 x) (neg.f64 x)) |
(*.f64 -1 (pow.f64 x -2)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) 3) 1/3) |
(/.f64 (/.f64 1 x) (neg.f64 x)) |
(*.f64 -1 (pow.f64 x -2)) |
(pow.f64 (*.f64 x x) -1) |
(pow.f64 (/.f64 1 x) 2) |
(pow.f64 x -2) |
(neg.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) |
(*.f64 1 (pow.f64 x -2)) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) 2)) |
(fabs.f64 (*.f64 -1 (pow.f64 x -2))) |
(log.f64 (exp.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(/.f64 (/.f64 1 x) (neg.f64 x)) |
(*.f64 -1 (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 x) (neg.f64 x))))) |
(/.f64 (/.f64 1 x) (neg.f64 x)) |
(*.f64 -1 (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) 3)) |
(/.f64 (/.f64 1 x) (neg.f64 x)) |
(*.f64 -1 (pow.f64 x -2)) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(/.f64 (/.f64 1 x) (neg.f64 x)) |
(*.f64 -1 (pow.f64 x -2)) |
(exp.f64 (log.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(/.f64 (/.f64 1 x) (neg.f64 x)) |
(*.f64 -1 (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(/.f64 (/.f64 1 x) (neg.f64 x)) |
(*.f64 -1 (pow.f64 x -2)) |
Compiled 22959 to 13557 computations (41% saved)
23 alts after pruning (15 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1223 | 12 | 1235 |
| Fresh | 4 | 3 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 7 | 8 |
| Total | 1228 | 23 | 1251 |
| Status | Error | Program |
|---|---|---|
| ▶ | 28.9b | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
| ▶ | 29.0b | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| 33.6b | (/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) | |
| ✓ | 29.4b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| ✓ | 12.8b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 29.2b | (/.f64 -1 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) x)) | |
| 29.4b | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| ✓ | 33.7b | (+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
| 33.5b | (+.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x)))) | |
| ✓ | 33.7b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| ✓ | 29.4b | (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))) |
| ▶ | 47.4b | (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) |
| ✓ | 29.0b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| 46.2b | (*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) x) (/.f64 1 x)) | |
| ✓ | 13.5b | (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) |
| 32.1b | (*.f64 (/.f64 1/2 x) (sin.f64 x)) | |
| ✓ | 29.4b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 47.3b | (*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) | |
| 29.0b | (*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) | |
| ▶ | 29.0b | (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)) |
| ▶ | 32.8b | (*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
| 32.7b | 1/2 | |
| 43.7b | 0 |
Compiled 397 to 275 computations (30.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (cos.f64 x) | |
| ✓ | 0.1b | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
| 0.1b | (/.f64 (-.f64 1 (cos.f64 x)) x) | |
| 1.2b | (-.f64 1 (cos.f64 x)) |
Compiled 23 to 12 computations (47.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
| 1× | batch-egg-rewrite |
| 980× | *-commutative |
| 752× | associate-/l/ |
| 716× | associate-/r/ |
| 686× | unswap-sqr |
| 610× | swap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 193 | 23 |
| 2 | 2715 | 23 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
| Outputs |
|---|
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x) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))) (*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 3/2) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2) (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))))))) |
| 1× | egg-herbie |
| 1544× | associate-/l* |
| 1340× | times-frac |
| 1054× | associate-/r* |
| 678× | unswap-sqr |
| 602× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 2762 |
| 1 | 586 | 2588 |
| 2 | 1965 | 2588 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)))) |
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) 1) |
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x))) |
(*.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 x) (/.f64 1 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 1) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x)) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 1 (*.f64 x (sqrt.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) |
(*.f64 (/.f64 1 (*.f64 x (sqrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x 1)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))) (*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 3/2) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 3) 1/6)) |
(*.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2) (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2)) |
(pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 3) 1/3) |
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x))) |
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 1)) |
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -1 x))) |
(neg.f64 (*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))) |
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 2)) |
(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 -1/24 x)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (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 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 x) (/.f64 1 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) x) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 1 (*.f64 x (sqrt.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) x) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) x) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (*.f64 x (sqrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) x) |
(*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) x) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) |
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 (cos.f64 x) -1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x 1)) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))) (*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 3/2) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 3/2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 3) 1/6)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2) (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 3) 1/3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -1 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 3)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
Compiled 17 to 12 computations (29.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1344× | add-sqr-sqrt |
| 1322× | *-un-lft-identity |
| 1242× | add-cube-cbrt |
| 1224× | add-cbrt-cube |
| 1210× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 164 | 1 |
| 2 | 1982 | 1 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x . 1/2))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 13 |
| 1× | saturated |
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
| Outputs |
|---|
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 -1/2 (*.f64 x x)) |
| 0.1b | (/.f64 (/.f64 1 x) (neg.f64 x)) | |
| ✓ | 31.7b | (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) |
Compiled 35 to 18 computations (48.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 -1/2 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 -1/2 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) |
| 0.0ms | x | @ | -inf | (*.f64 -1/2 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 1314× | associate-/r* |
| 1304× | associate-*r/ |
| 1012× | *-commutative |
| 922× | associate-/l* |
| 852× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 1 | 251 | 38 |
| 2 | 3346 | 36 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 -1/2 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1/2)) 0) (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 x x) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 (*.f64 x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sqrt.f64 -1/2)) (/.f64 (*.f64 x x) (*.f64 x (sqrt.f64 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (neg.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 x (/.f64 x (/.f64 (sqrt.f64 x) (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (*.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (sqrt.f64 -1/2)) x) (/.f64 x (*.f64 x (sqrt.f64 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 -1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (neg.f64 (/.f64 1 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 x (/.f64 (*.f64 -1/2 (*.f64 x x)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (*.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/2) (/.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1/2) (/.f64 (/.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x))) (/.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (/.f64 x (sqrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)))) (/.f64 x (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 x (cbrt.f64 x))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (/.f64 (*.f64 x x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -1/2)) (/.f64 (*.f64 x x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 x) (*.f64 x (/.f64 (/.f64 1 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) x) (/.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) x) (/.f64 x (cbrt.f64 (*.f64 -1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -1/2) x) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1/2)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (/.f64 (sqrt.f64 x) (*.f64 x -1/2))) (*.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -1/2) 0) (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (sqrt.f64 x)) (/.f64 (pow.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -1/2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 x (sqrt.f64 x))) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x -1/2) (-.f64 0 (*.f64 x x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x -1/2) (-.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 0 (*.f64 x x)) (*.f64 x -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 0 (pow.f64 x 3)) (*.f64 x -1/2)) (+.f64 (*.f64 x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (sqrt.f64 x)) -1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) -1/2) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1574× | associate-/l* |
| 944× | times-frac |
| 770× | distribute-lft-neg-in |
| 728× | distribute-rgt-neg-in |
| 658× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 391 | 4465 |
| 1 | 1162 | 2719 |
| 2 | 6876 | 2699 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 (*.f64 x (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1/2)) 0) (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))))) 1) |
(/.f64 1 (*.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) x)) |
(/.f64 x (/.f64 (*.f64 x x) (*.f64 x -1/2))) |
(/.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (*.f64 x -1/2))) |
(/.f64 -1/2 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 x x))) |
(/.f64 (*.f64 x x) (/.f64 (*.f64 x x) -1/2)) |
(/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) 1) |
(/.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) -1) |
(/.f64 (*.f64 x (sqrt.f64 -1/2)) (/.f64 (*.f64 x x) (*.f64 x (sqrt.f64 -1/2)))) |
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (pow.f64 x -1/2))) |
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (neg.f64 (pow.f64 x -1/2)))) |
(/.f64 (pow.f64 x -1/2) (/.f64 x (/.f64 x (/.f64 (sqrt.f64 x) (*.f64 x -1/2))))) |
(/.f64 (pow.f64 x -1/2) (*.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 x (sqrt.f64 -1/2)) x) (/.f64 x (*.f64 x (sqrt.f64 -1/2)))) |
(/.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))))) |
(/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))))) |
(/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))))) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (/.f64 1 (cbrt.f64 x)))) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (neg.f64 (/.f64 1 (cbrt.f64 x))))) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 x (/.f64 (*.f64 -1/2 (*.f64 x x)) (cbrt.f64 x)))) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (*.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (cbrt.f64 x))) |
(/.f64 (*.f64 x -1/2) (/.f64 (*.f64 x x) x)) |
(/.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1/2) (/.f64 (/.f64 1 x) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)) x) |
(/.f64 -1 (*.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) x)) |
(/.f64 (sqrt.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x))) (/.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (/.f64 x (sqrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)))) (/.f64 x (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))))) |
(/.f64 (*.f64 -1/2 (*.f64 x (cbrt.f64 x))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (/.f64 (*.f64 x x) (sqrt.f64 x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -1/2)) (/.f64 (*.f64 x x) (cbrt.f64 x))) |
(/.f64 (/.f64 -1/2 x) (*.f64 x (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(/.f64 (/.f64 (*.f64 x x) x) (/.f64 x -1/2)) |
(/.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) x) (/.f64 x (cbrt.f64 (*.f64 -1/2 (*.f64 x x))))) |
(/.f64 (/.f64 (*.f64 x -1/2) x) (/.f64 x x)) |
(/.f64 (*.f64 x (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1/2)) (/.f64 1 x)) |
(/.f64 (/.f64 x (/.f64 (sqrt.f64 x) (*.f64 x -1/2))) (*.f64 x (sqrt.f64 x))) |
(/.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) (*.f64 x (cbrt.f64 x))) |
(/.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) -1) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 x x) (*.f64 x -1/2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 x x) (*.f64 x -1/2))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 x (cbrt.f64 x)) (/.f64 (*.f64 x x) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (neg.f64 (pow.f64 x -1/2)) (/.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (pow.f64 x -1/2))) |
(/.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) (/.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (/.f64 1 (cbrt.f64 x)))) |
(/.f64 (/.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)) (/.f64 x (/.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) x) |
(/.f64 (pow.f64 (sqrt.f64 x) -1) (/.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (pow.f64 (sqrt.f64 x) -1))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (/.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (pow.f64 (cbrt.f64 x) -1))) |
(/.f64 (*.f64 1 (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) |
(/.f64 (*.f64 1 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 x x) (*.f64 x -1/2)))) (cbrt.f64 x)) |
(/.f64 (*.f64 1 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)))) x) |
(/.f64 (*.f64 (/.f64 1 x) (*.f64 (*.f64 -1/2 (*.f64 x x)) -1)) x) |
(/.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 (pow.f64 x -1/2) x)) (sqrt.f64 x)) |
(/.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) x)) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (*.f64 x (sqrt.f64 -1/2)) x) (sqrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)))) (sqrt.f64 x)) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)))) (cbrt.f64 x)) |
(/.f64 (*.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1/2) (sqrt.f64 x)) (/.f64 (pow.f64 x -1/2) x)) |
(/.f64 (*.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x))) |
(/.f64 (*.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1/2) (*.f64 x (sqrt.f64 x))) (pow.f64 x -1/2)) |
(/.f64 (*.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1/2) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 1 (cbrt.f64 x))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)) (pow.f64 x -1/2)) (sqrt.f64 x)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) (cbrt.f64 x)) |
(/.f64 (*.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 (/.f64 1 x) (cbrt.f64 x))) 1) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 (/.f64 1 x) (cbrt.f64 x))) (/.f64 1 (cbrt.f64 x))) (cbrt.f64 x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1/2)) 1) (/.f64 1 x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1/2)) (sqrt.f64 x)) (pow.f64 x -1/2)) |
(/.f64 (*.f64 (*.f64 x (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1/2)) (-.f64 0 (*.f64 x x))) x) |
(/.f64 (*.f64 (*.f64 x (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1/2)) (-.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0)) |
(/.f64 (*.f64 (/.f64 (pow.f64 x -1/2) x) (*.f64 -1/2 (*.f64 x x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) x) (*.f64 -1/2 (*.f64 x x))) (cbrt.f64 x)) |
(/.f64 (*.f64 (pow.f64 x -1/2) (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (cbrt.f64 x)) |
(/.f64 (*.f64 -1 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) x) |
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1/2)) (/.f64 (pow.f64 x -1/2) x)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1/2)) (/.f64 (/.f64 1 x) (cbrt.f64 x))) |
(/.f64 (*.f64 -1 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1/2)) (/.f64 (/.f64 1 x) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1/2)) (pow.f64 x -1/2)) |
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1/2)) (/.f64 1 (cbrt.f64 x))) |
(/.f64 (*.f64 (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 x (sqrt.f64 x))) 1) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 x x) (*.f64 x -1/2))) 1) (cbrt.f64 x)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) 1) x) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (/.f64 (*.f64 x (sqrt.f64 -1/2)) x)) (sqrt.f64 x)) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4)))) (cbrt.f64 x)) |
(/.f64 (*.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) -1) (/.f64 1 x)) x) |
(/.f64 (*.f64 (/.f64 1 x) (/.f64 x (/.f64 (sqrt.f64 x) (*.f64 x -1/2)))) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 1 x) (/.f64 (*.f64 -1/2 (*.f64 x x)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 (sqrt.f64 x) -1)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 x (cbrt.f64 (pow.f64 x -1/2)))) (*.f64 (sqrt.f64 x) (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)) (sqrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)) (*.f64 (sqrt.f64 x) -1)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 x (sqrt.f64 x))) 1) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 -1)) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 x x) (*.f64 x -1/2))) 1) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 x x) (*.f64 x -1/2))) -1) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 x x) (*.f64 x -1/2))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 x x) (*.f64 x -1/2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 x x) (*.f64 x -1/2))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 x x) (*.f64 x -1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) 1) x) |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) -1) x) |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (sqrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (*.f64 (sqrt.f64 x) -1)) (sqrt.f64 x)) |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(pow.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) 1) |
(pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/2)) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) 3) 1/3) |
(sqrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4))) |
(log.f64 (exp.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))))) |
(exp.f64 (*.f64 2 (log.f64 (/.f64 (*.f64 x (sqrt.f64 -1/2)) x)))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))))) |
(+.f64 (*.f64 (*.f64 x -1/2) 0) (*.f64 -1/2 (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) 1) |
(/.f64 -1/2 (pow.f64 x -2)) |
(/.f64 (*.f64 -1/2 (*.f64 x x)) 1) |
(/.f64 (*.f64 -1/2 (*.f64 x x)) -1) |
(/.f64 (*.f64 x -1/2) (/.f64 1 x)) |
(/.f64 1/2 (pow.f64 x -2)) |
(/.f64 (*.f64 -1/2 (sqrt.f64 x)) (/.f64 (pow.f64 x -1/2) x)) |
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (pow.f64 x -1/2)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -1/2)) (/.f64 1 (cbrt.f64 x))) |
(/.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x))) |
(/.f64 (*.f64 -1/2 (*.f64 x (sqrt.f64 x))) (pow.f64 x -1/2)) |
(/.f64 (*.f64 -1/2 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 1 (cbrt.f64 x))) |
(/.f64 (*.f64 (*.f64 x -1/2) (-.f64 0 (*.f64 x x))) x) |
(/.f64 (*.f64 (*.f64 x -1/2) (-.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0)) |
(/.f64 (*.f64 (-.f64 0 (*.f64 x x)) (*.f64 x -1/2)) x) |
(/.f64 (*.f64 (-.f64 0 (pow.f64 x 3)) (*.f64 x -1/2)) (+.f64 (*.f64 x x) 0)) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 x)) -1/2) (pow.f64 x -1/2)) |
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) -1/2) (/.f64 1 (cbrt.f64 x))) |
(pow.f64 (*.f64 -1/2 (*.f64 x x)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2) |
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) 1/3) |
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))) |
| Outputs |
|---|
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(+.f64 (*.f64 (*.f64 x (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1/2)) 0) (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x)))) |
1/2 |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))))) 1) |
1/2 |
(/.f64 1 (*.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) x)) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 -1/2 x)) |
-1/2 |
(/.f64 x (/.f64 (*.f64 x x) (*.f64 x -1/2))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 -1/2 x)) |
-1/2 |
(/.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (*.f64 x -1/2))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 -1/2 x)) |
-1/2 |
(/.f64 -1/2 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 x x))) |
1/2 |
(/.f64 (*.f64 x x) (/.f64 (*.f64 x x) -1/2)) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 -1/2 x)) |
-1/2 |
(/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 -1/2 x)) |
-1/2 |
(/.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) 1) |
1/2 |
(/.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) -1) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 -1/2 x)) |
-1/2 |
(/.f64 (*.f64 x (sqrt.f64 -1/2)) (/.f64 (*.f64 x x) (*.f64 x (sqrt.f64 -1/2)))) |
(/.f64 x (/.f64 (/.f64 (/.f64 x 1) (sqrt.f64 -1/2)) (sqrt.f64 -1/2))) |
(pow.f64 (*.f64 1 (sqrt.f64 -1/2)) 2) |
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (pow.f64 x -1/2))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 -1/2 x)) |
-1/2 |
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (neg.f64 (pow.f64 x -1/2)))) |
1/2 |
(/.f64 (pow.f64 x -1/2) (/.f64 x (/.f64 x (/.f64 (sqrt.f64 x) (*.f64 x -1/2))))) |
(/.f64 (pow.f64 x -1/2) (*.f64 1 (/.f64 (sqrt.f64 x) (*.f64 -1/2 x)))) |
(*.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 x) x)) (pow.f64 x -1/2)) |
(/.f64 (pow.f64 x -1/2) (*.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (sqrt.f64 x))) |
(/.f64 (pow.f64 x -1/2) (*.f64 1 (/.f64 (sqrt.f64 x) (*.f64 -1/2 x)))) |
(*.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 x) x)) (pow.f64 x -1/2)) |
(/.f64 (/.f64 (*.f64 x (sqrt.f64 -1/2)) x) (/.f64 x (*.f64 x (sqrt.f64 -1/2)))) |
(/.f64 x (/.f64 (/.f64 (/.f64 x 1) (sqrt.f64 -1/2)) (sqrt.f64 -1/2))) |
(pow.f64 (*.f64 1 (sqrt.f64 -1/2)) 2) |
(/.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (*.f64 x x)) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 -1/2 x))) (*.f64 x x))) |
(/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 x x)) (cbrt.f64 (*.f64 -1/2 (*.f64 x x)))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x (*.f64 -1/2 x))))) |
(/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (*.f64 -1/2 x))) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(*.f64 (*.f64 -1/2 x) (/.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) x)) (cbrt.f64 x))) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (*.f64 -1/2 x))) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(*.f64 (*.f64 -1/2 x) (/.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) x)) (cbrt.f64 x))) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (neg.f64 (/.f64 1 (cbrt.f64 x))))) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 1 (*.f64 (/.f64 -1 (cbrt.f64 x)) (*.f64 -1/2 x)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) x)) (/.f64 (*.f64 x 1/2) (cbrt.f64 x))) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 x (/.f64 (*.f64 -1/2 (*.f64 x x)) (cbrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (*.f64 -1/2 x))) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(*.f64 (*.f64 -1/2 x) (/.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) x)) (cbrt.f64 x))) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (*.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (*.f64 -1/2 x))) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(*.f64 (*.f64 -1/2 x) (/.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) x)) (cbrt.f64 x))) |
(/.f64 (*.f64 x -1/2) (/.f64 (*.f64 x x) x)) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 -1/2 x)) |
-1/2 |
(/.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1/2) (/.f64 (/.f64 1 x) (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 -1/2 x)) |
-1/2 |
(/.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)) x) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 -1/2 x)) |
-1/2 |
(/.f64 -1 (*.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) x)) |
1/2 |
(/.f64 (sqrt.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x))) (/.f64 (/.f64 (/.f64 x x) (*.f64 x -1/2)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x))) (/.f64 1 (*.f64 -1/2 x))) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) x))) (/.f64 (sqrt.f64 (/.f64 1 (*.f64 x (cbrt.f64 x)))) (/.f64 -2 x))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (/.f64 x (sqrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) x) (sqrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)))) |
(*.f64 (sqrt.f64 (*.f64 -1/2 x)) (/.f64 (sqrt.f64 (*.f64 -1/2 x)) x)) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)))) (/.f64 x (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)))) x) (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)))) |
(*.f64 (cbrt.f64 (*.f64 -1/2 x)) (/.f64 (cbrt.f64 (*.f64 -1/2 x)) (/.f64 x (cbrt.f64 (*.f64 -1/2 x))))) |
(/.f64 (*.f64 -1/2 (*.f64 x (cbrt.f64 x))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 -1/2 x)) |
-1/2 |
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (/.f64 (*.f64 x x) (sqrt.f64 x))) |
(*.f64 (/.f64 (*.f64 -1/2 (*.f64 x (sqrt.f64 x))) (*.f64 x x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 -1/2 (/.f64 (sqrt.f64 x) x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -1/2)) (/.f64 (*.f64 x x) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 -1/2 x)) |
-1/2 |
(/.f64 (/.f64 -1/2 x) (*.f64 x (/.f64 (/.f64 1 x) (neg.f64 x)))) |
1/2 |
(/.f64 (/.f64 (*.f64 x x) x) (/.f64 x -1/2)) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 -1/2 x)) |
-1/2 |
(/.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) x) (/.f64 x (cbrt.f64 (*.f64 -1/2 (*.f64 x x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 x x)) (cbrt.f64 (*.f64 -1/2 (*.f64 x x)))) |
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1/2 |
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-1/2 |
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1/2 |
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1/2 |
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1/2 |
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1/2 |
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1/2 |
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1/2 |
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1/2 |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)) (pow.f64 x -1/2)) (sqrt.f64 x)) |
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-1/2 |
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1/2 |
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1/2 |
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1/2 |
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1/2 |
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1/2 |
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1/2 |
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1/2 |
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1/2 |
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1/2 |
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1/2 |
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(/.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 -1))) |
(/.f64 -1/2 (sqrt.f64 -1)) |
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 -1/2 x)) |
-1/2 |
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (*.f64 -1/2 x) (*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 x x) (*.f64 x -1/2))) 1) (cbrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (*.f64 -1/2 x))) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(*.f64 (*.f64 -1/2 x) (/.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 x x) (*.f64 x -1/2))) -1) (cbrt.f64 x)) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 1 (*.f64 (/.f64 -1 (cbrt.f64 x)) (*.f64 -1/2 x)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) x)) (/.f64 (*.f64 x 1/2) (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 x x) (*.f64 x -1/2))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (*.f64 -1/2 x))) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(*.f64 (*.f64 -1/2 x) (/.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 x x) (*.f64 x -1/2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (*.f64 -1/2 x))) (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))) |
(*.f64 (*.f64 -1/2 x) (/.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 x x) (*.f64 x -1/2))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 1 (*.f64 -1/2 x))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 (*.f64 -1/2 x) (cbrt.f64 (/.f64 (/.f64 -1 x) x))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 (/.f64 x x) (*.f64 x -1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) (/.f64 1 (*.f64 -1/2 x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (/.f64 -2 x))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) 1) x) |
1/2 |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (sqrt.f64 x)) (sqrt.f64 x)) |
1/2 |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 -1/2 x)) |
-1/2 |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
1/2 |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
1/2 |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 -1/2 x)) |
-1/2 |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) -1) x) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 -1/2 x)) |
-1/2 |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (sqrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (/.f64 -1/2 x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (*.f64 x (cbrt.f64 x))))) |
(/.f64 (*.f64 x 1/2) (*.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (fabs.f64 (cbrt.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (*.f64 (sqrt.f64 x) -1)) (sqrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 -1/2 x)) |
-1/2 |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 -1/2 x)) |
-1/2 |
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 -1/2 x)) |
-1/2 |
(pow.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) 1) |
1/2 |
(pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/2)) x) 2) |
(/.f64 x (/.f64 (/.f64 (/.f64 x 1) (sqrt.f64 -1/2)) (sqrt.f64 -1/2))) |
(pow.f64 (*.f64 1 (sqrt.f64 -1/2)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x)))) 3) |
1/2 |
(pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) 3) 1/3) |
1/2 |
(sqrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4))) |
1/2 |
(log.f64 (exp.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))))) |
1/2 |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x)))))) |
1/2 |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) 3)) |
1/2 |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) 3))) |
1/2 |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))))) |
1/2 |
(exp.f64 (*.f64 2 (log.f64 (/.f64 (*.f64 x (sqrt.f64 -1/2)) x)))) |
(/.f64 x (/.f64 (/.f64 (/.f64 x 1) (sqrt.f64 -1/2)) (sqrt.f64 -1/2))) |
(pow.f64 (*.f64 1 (sqrt.f64 -1/2)) 2) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))))) |
1/2 |
(+.f64 (*.f64 (*.f64 x -1/2) 0) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) 1) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(/.f64 -1/2 (pow.f64 x -2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(/.f64 (*.f64 -1/2 (*.f64 x x)) 1) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(/.f64 (*.f64 -1/2 (*.f64 x x)) -1) |
(/.f64 -1/2 (/.f64 -1 (*.f64 x x))) |
(*.f64 (*.f64 x x) 1/2) |
(*.f64 x (*.f64 x 1/2)) |
(/.f64 (*.f64 x -1/2) (/.f64 1 x)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(/.f64 1/2 (pow.f64 x -2)) |
(/.f64 (*.f64 -1/2 (sqrt.f64 x)) (/.f64 (pow.f64 x -1/2) x)) |
(*.f64 (/.f64 (*.f64 -1/2 (sqrt.f64 x)) (pow.f64 x -1/2)) x) |
(*.f64 x (/.f64 -1/2 (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (pow.f64 x -1/2)) |
(*.f64 (/.f64 (*.f64 -1/2 (sqrt.f64 x)) (pow.f64 x -1/2)) x) |
(*.f64 x (/.f64 -1/2 (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -1/2)) (/.f64 1 (cbrt.f64 x))) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(/.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x))) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(/.f64 (*.f64 -1/2 (*.f64 x (sqrt.f64 x))) (pow.f64 x -1/2)) |
(*.f64 (/.f64 (*.f64 -1/2 (sqrt.f64 x)) (pow.f64 x -1/2)) x) |
(*.f64 x (/.f64 -1/2 (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)))) |
(/.f64 (*.f64 -1/2 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(/.f64 (*.f64 (*.f64 x -1/2) (-.f64 0 (*.f64 x x))) x) |
(/.f64 -1/2 (/.f64 -1 (*.f64 x x))) |
(*.f64 (*.f64 x x) 1/2) |
(*.f64 x (*.f64 x 1/2)) |
(/.f64 (*.f64 (*.f64 x -1/2) (-.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0)) |
(/.f64 -1/2 (/.f64 -1 (*.f64 x x))) |
(*.f64 (*.f64 x x) 1/2) |
(*.f64 x (*.f64 x 1/2)) |
(/.f64 (*.f64 (-.f64 0 (*.f64 x x)) (*.f64 x -1/2)) x) |
(/.f64 -1/2 (/.f64 -1 (*.f64 x x))) |
(*.f64 (*.f64 x x) 1/2) |
(*.f64 x (*.f64 x 1/2)) |
(/.f64 (*.f64 (-.f64 0 (pow.f64 x 3)) (*.f64 x -1/2)) (+.f64 (*.f64 x x) 0)) |
(/.f64 -1/2 (/.f64 -1 (*.f64 x x))) |
(*.f64 (*.f64 x x) 1/2) |
(*.f64 x (*.f64 x 1/2)) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 x)) -1/2) (pow.f64 x -1/2)) |
(*.f64 (/.f64 (*.f64 -1/2 (sqrt.f64 x)) (pow.f64 x -1/2)) x) |
(*.f64 x (/.f64 -1/2 (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)))) |
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) -1/2) (/.f64 1 (cbrt.f64 x))) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(pow.f64 (*.f64 -1/2 (*.f64 x x)) 1) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2) |
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) 1/3) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4))) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)) |
(*.f64 -1/2 (log.f64 (pow.f64 (exp.f64 x) x))) |
(*.f64 -1/2 (*.f64 x (log.f64 (exp.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x x)))) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (cos.f64 x) | |
| ✓ | 0.1b | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| ✓ | 0.1b | (/.f64 x (-.f64 1 (cos.f64 x))) |
| 1.2b | (-.f64 1 (cos.f64 x)) |
Compiled 28 to 16 computations (42.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 x (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 x (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 x (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| 1× | batch-egg-rewrite |
| 1118× | *-commutative |
| 1096× | associate-/r/ |
| 822× | associate-/l/ |
| 682× | swap-sqr |
| 426× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 46 |
| 1 | 221 | 40 |
| 2 | 3123 | 40 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) 1) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 x 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(*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))))))) |
| 1× | egg-herbie |
| 836× | distribute-lft-neg-out |
| 736× | distribute-rgt-neg-out |
| 666× | *-commutative |
| 518× | associate-*r/ |
| 484× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 458 | 6519 |
| 1 | 1344 | 6187 |
| 2 | 5091 | 6187 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 x) |
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/3024 (pow.f64 x 5))))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(+.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) 1) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x))) |
(+.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) 1)) |
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1)) |
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cos.f64 x))) |
(+.f64 (*.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (cos.f64 x) (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))))) |
(+.f64 (*.f64 (cos.f64 x) (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))))) |
(+.f64 (*.f64 1 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(+.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 1 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(+.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (cos.f64 x) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) 1) |
(*.f64 x (/.f64 -1 (+.f64 (cos.f64 x) -1))) |
(*.f64 x (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 x (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 x (neg.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 1 (/.f64 x (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1) |
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) |
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) x) |
(*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 -1 (/.f64 x (+.f64 (cos.f64 x) -1))) |
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (cos.f64 x) -1))) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))) (neg.f64 (sqrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))) (neg.f64 (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))))) |
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 -1 (+.f64 (cos.f64 x) -1))) (sqrt.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 x) (/.f64 -1 (+.f64 (cos.f64 x) -1))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 x (*.f64 x (cos.f64 x)))) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 x (*.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (neg.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (neg.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (pow.f64 x -1/2)) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 x) 1)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (cos.f64 x)) -1)) |
(*.f64 (/.f64 x (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 x (+.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 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) |
(*.f64 (/.f64 (neg.f64 x) (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (neg.f64 x) (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 x (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 (/.f64 x (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 (/.f64 x (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 x (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 (+.f64 (cos.f64 x) -1)) 1) x) |
(*.f64 (/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) -1) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))) (sqrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))))) (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3) 1/3) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) |
(neg.f64 (/.f64 x (+.f64 (cos.f64 x) -1))) |
(neg.f64 (/.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) 1)) |
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)) |
(log.f64 (exp.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(exp.f64 (log.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 1 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x))) |
(+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1)) |
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2)) |
(+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) 1) |
(*.f64 1 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) 1) |
(*.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) 2) (cbrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 x -2))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 x -2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (*.f64 (pow.f64 x -1/2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(*.f64 (/.f64 1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (*.f64 (pow.f64 x -1/2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x)) |
(*.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -1/2) x) (*.f64 (pow.f64 x -1/2) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (pow.f64 x -1/2) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 x -1/2) x)) |
(*.f64 (*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 x -1/2)) |
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (*.f64 (pow.f64 x -1/2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(*.f64 (*.f64 (pow.f64 x -1/2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) 1) (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) 1) (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x -2)) x)) |
(*.f64 (*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x -2)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (cbrt.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) -1) (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) 1) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -2) -1) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) (pow.f64 x -1/2)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)) -1) |
(*.f64 (/.f64 (/.f64 -1 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (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 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) 1) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(pow.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) 1) |
(pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) 3) 1/3) |
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -1) |
(neg.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))) |
(neg.f64 (*.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) 1)) |
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(neg.f64 (*.f64 1 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)))) |
(neg.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))))) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) 3)) |
(cbrt.f64 (/.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(exp.f64 (log.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
| Outputs |
|---|
(/.f64 2 x) |
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) |
(fma.f64 1/6 x (/.f64 2 x)) |
(fma.f64 x 1/6 (/.f64 2 x)) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 1/6 x (/.f64 2 x))) |
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 x 1/6 (/.f64 2 x))) |
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/3024 (pow.f64 x 5))))) |
(fma.f64 1/120 (pow.f64 x 3) (+.f64 (fma.f64 1/6 x (/.f64 2 x)) (*.f64 1/3024 (pow.f64 x 5)))) |
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 x 1/6 (fma.f64 1/3024 (pow.f64 x 5) (/.f64 2 x)))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (-.f64 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 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) 1) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x))) |
(*.f64 x (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 (fma.f64 x (cos.f64 x) x) (*.f64 (sin.f64 x) (sin.f64 x))) |
(+.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) 1)) |
(*.f64 x (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 (fma.f64 x (cos.f64 x) x) (*.f64 (sin.f64 x) (sin.f64 x))) |
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 x (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (fma.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1)) |
(*.f64 x (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (fma.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cos.f64 x))) |
(*.f64 x (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (fma.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(+.f64 (*.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (cos.f64 x) (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 x (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 (fma.f64 x (cos.f64 x) x) (*.f64 (sin.f64 x) (sin.f64 x))) |
(+.f64 (*.f64 (cos.f64 x) (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 x (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 (fma.f64 x (cos.f64 x) x) (*.f64 (sin.f64 x) (sin.f64 x))) |
(+.f64 (*.f64 1 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 x (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (fma.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(+.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 1 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 x (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (fma.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(+.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (cos.f64 x) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(*.f64 x (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (fma.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) 1) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 -1 (+.f64 (cos.f64 x) -1))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 (fma.f64 x (cos.f64 x) x) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 x (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 x (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (fma.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 x (neg.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 1 (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 x (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 (fma.f64 x (cos.f64 x) x) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) x) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 x (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (fma.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 -1 (/.f64 x (+.f64 (cos.f64 x) -1))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (cos.f64 x) -1))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))) (neg.f64 (sqrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))) (neg.f64 (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 -1 (+.f64 (cos.f64 x) -1))) (sqrt.f64 x)) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (cbrt.f64 x) (/.f64 -1 (+.f64 (cos.f64 x) -1))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(*.f64 x (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 (fma.f64 x (cos.f64 x) x) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 x (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (fma.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 x (*.f64 x (cos.f64 x)))) |
(*.f64 x (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 (fma.f64 x (cos.f64 x) x) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 x (*.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 x (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (fma.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (neg.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (neg.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (neg.f64 x)) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (pow.f64 x -1/2)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (/.f64 -1 (*.f64 (pow.f64 x -1/2) (+.f64 (cos.f64 x) -1)))) |
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 -1 (pow.f64 x -1/2)) (+.f64 (cos.f64 x) -1))) |
(/.f64 (/.f64 (*.f64 -1 (sqrt.f64 x)) (+.f64 (cos.f64 x) -1)) (pow.f64 x -1/2)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 x) 1)) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
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(/.f64 (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (cos.f64 x)) -1)) |
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(/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (+.f64 (pow.f64 (cos.f64 x) 2) -1)) |
(/.f64 (neg.f64 (fma.f64 x (cos.f64 x) x)) (fma.f64 (cos.f64 x) (cos.f64 x) -1)) |
(*.f64 (/.f64 x (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 x (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
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(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
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(*.f64 (/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 1) x) |
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(/.f64 x (-.f64 1 (cos.f64 x))) |
(pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 3) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3) 1/3) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) |
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(neg.f64 (/.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) 1)) |
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(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)) |
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(log.f64 (exp.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3)) |
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(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3))) |
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(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(exp.f64 (log.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
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(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
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(*.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)) (*.f64 x x)) |
(*.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)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
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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 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 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) 1) |
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(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) x))) |
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(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
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(*.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))) |
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(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 (cbrt.f64 x)))) |
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(*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) 2)) |
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(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) 2) (cbrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.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 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x))) |
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(*.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)))) |
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(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 x -2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
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(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 (pow.f64 x -2))) |
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(*.f64 (*.f64 (pow.f64 x -1/2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(*.f64 (/.f64 1 x) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 x -1/2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(/.f64 (*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) |
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) |
(*.f64 (/.f64 1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) 3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) 3) 1/3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(neg.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(neg.f64 (*.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(neg.f64 (*.f64 1 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(neg.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) 2)) |
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) 3)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(cbrt.f64 (/.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3))) |
(cbrt.f64 (/.f64 (pow.f64 x -2) (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))) |
(cbrt.f64 (/.f64 (pow.f64 x -2) (*.f64 x (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3)))) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(exp.f64 (log.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (cos.f64 x) | |
| ✓ | 0.1b | (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)) |
| ✓ | 0.2b | (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) |
| ✓ | 1.3b | (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) |
Compiled 44 to 24 computations (45.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) |
| 0.0ms | x | @ | -inf | (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)) |
| 0.0ms | x | @ | 0 | (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) |
| 1× | batch-egg-rewrite |
| 1064× | associate-/r* |
| 1010× | associate-/l* |
| 1008× | *-commutative |
| 714× | distribute-lft-in |
| 684× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 75 |
| 1 | 233 | 51 |
| 2 | 3298 | 51 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) |
(*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) |
(*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1736× | associate-/l* |
| 1408× | associate-/r* |
| 1356× | associate-*r* |
| 1106× | associate-*l* |
| 826× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 878 | 24493 |
| 1 | 2592 | 21459 |
| 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 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) (/.f64 1 x)) |
(*.f64 -1 (/.f64 (cos.f64 x) x)) |
(*.f64 -1 (/.f64 (cos.f64 x) x)) |
(*.f64 -1 (/.f64 (cos.f64 x) x)) |
(*.f64 -1 (/.f64 (cos.f64 x) x)) |
(*.f64 -1 (/.f64 (cos.f64 x) x)) |
(*.f64 -1 (/.f64 (cos.f64 x) x)) |
(*.f64 -1 (/.f64 (cos.f64 x) x)) |
(*.f64 -1 (/.f64 (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 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (fma.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 1 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(-.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(-.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 1 x)) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(-.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(-.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(-.f64 0 (-.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) 1) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) (-.f64 1 (fma.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 1 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) (-.f64 1 (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) (-.f64 1 (fma.f64 (neg.f64 (/.f64 1 x)) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 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 (*.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (-.f64 1 (/.f64 1 x))) |
(-.f64 (/.f64 0 x) (-.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x))) |
(-.f64 (*.f64 (pow.f64 x -2) (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) (*.f64 (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 2) (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x)))))) |
(-.f64 (*.f64 (pow.f64 x -2) (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 2) (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) (fma.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 1 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(-.f64 (*.f64 (pow.f64 x -2) (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 2) (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(-.f64 (*.f64 (pow.f64 x -2) (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 2) (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 x)) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(-.f64 (*.f64 (pow.f64 x -2) (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 2) (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(-.f64 (*.f64 (pow.f64 x -2) (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 2) (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(-.f64 (+.f64 (/.f64 1 x) 0) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) 1) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 0 x)) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (+.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1) |
(*.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) |
(*.f64 (/.f64 1 x) (+.f64 1 (neg.f64 (cos.f64 x)))) |
(*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 1) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(*.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2) (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) |
(*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 2) (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))))) |
(*.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (/.f64 1 x)) |
(*.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(*.f64 (-.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (+.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(*.f64 (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x)))) (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2)) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 2) (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x)))) (+.f64 (pow.f64 x -3) (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 3))) |
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(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 3) (pow.f64 x -3))) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)))) |
(exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5))))) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x)) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(fma.f64 1/2 x (/.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) (/.f64 1 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (fma.f64 1/2 x (/.f64 -1 x))) |
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) (/.f64 1 x)) |
(+.f64 (fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5)))) (/.f64 -1 x)) |
(*.f64 -1 (/.f64 (cos.f64 x) x)) |
(/.f64 (neg.f64 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (cos.f64 x) x)) |
(/.f64 (neg.f64 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (cos.f64 x) x)) |
(/.f64 (neg.f64 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (cos.f64 x) x)) |
(/.f64 (neg.f64 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (cos.f64 x) x)) |
(/.f64 (neg.f64 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (cos.f64 x) x)) |
(/.f64 (neg.f64 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (cos.f64 x) x)) |
(/.f64 (neg.f64 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (cos.f64 x) x)) |
(/.f64 (neg.f64 (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))) |
(+.f64 1/2 (*.f64 x (*.f64 x -1/24))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 1 x) (/.f64 (neg.f64 (cos.f64 x)) x)) |
(-.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (fma.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 1 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(+.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)))) (fma.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 1 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (neg.f64 (cos.f64 x)) x)) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 (neg.f64 (cos.f64 x)) x))) |
(-.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(+.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)))) (fma.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 1 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (neg.f64 (cos.f64 x)) x)) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 (neg.f64 (cos.f64 x)) x))) |
(-.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 1 x)) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(+.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)))) (fma.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) |
(-.f64 (/.f64 1 x) (-.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 (neg.f64 (cos.f64 x)) x)) (/.f64 (neg.f64 (cos.f64 x)) x))) |
(-.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(+.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2)) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (neg.f64 (cos.f64 x)) x)) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (neg.f64 (pow.f64 (sqrt.f64 (/.f64 (neg.f64 (cos.f64 x)) x)) 2)))) |
(-.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(+.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)))) (fma.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) |
(-.f64 (/.f64 1 x) (-.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 (neg.f64 (cos.f64 x)) x)) (/.f64 (neg.f64 (cos.f64 x)) x))) |
(-.f64 0 (-.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 1 x) (/.f64 (neg.f64 (cos.f64 x)) x)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) 1) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) (-.f64 1 (fma.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 1 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(+.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) (fma.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 1 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) |
(+.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) (-.f64 1 (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(+.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) (fma.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 1 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) |
(+.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) (-.f64 1 (fma.f64 (neg.f64 (/.f64 1 x)) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(+.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) (fma.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) |
(+.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (*.f64 (/.f64 (cos.f64 x) x) 1)) (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(+.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) (+.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2)) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) |
(+.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (neg.f64 (pow.f64 (sqrt.f64 (/.f64 (neg.f64 (cos.f64 x)) x)) 2))) (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(+.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) (fma.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) |
(+.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (*.f64 (/.f64 (cos.f64 x) x) 1)) (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 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 (/.f64 (neg.f64 (cos.f64 x)) x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))))) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2))) |
(+.f64 (neg.f64 (pow.f64 (sqrt.f64 (/.f64 (neg.f64 (cos.f64 x)) x)) 2)) (-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2))))) |
(-.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 (neg.f64 (cos.f64 x)) x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (-.f64 1 (/.f64 1 x))) |
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) |
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) |
(-.f64 (/.f64 0 x) (-.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 1 x) (/.f64 (neg.f64 (cos.f64 x)) x)) |
(-.f64 (*.f64 (pow.f64 x -2) (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) (*.f64 (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 2) (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x)))))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 2))) |
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 2))) |
(-.f64 (*.f64 (pow.f64 x -2) (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 2) (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) (fma.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 1 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(+.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 2))) (fma.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 1 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) |
(+.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 2)))) |
(-.f64 (*.f64 (pow.f64 x -2) (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 2) (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(+.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 2))) (fma.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 1 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) |
(+.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 2)))) |
(-.f64 (*.f64 (pow.f64 x -2) (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 2) (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 x)) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(+.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 2))) (fma.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) |
(+.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (*.f64 (/.f64 (cos.f64 x) x) 1)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 2)))) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 x (cbrt.f64 (*.f64 x x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x (cbrt.f64 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 (*.f64 x x)))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 x x))) x) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x (cbrt.f64 (*.f64 x x)))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 (*.f64 x x)))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 x x))) x) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))))) |
(/.f64 (/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 x (cbrt.f64 (*.f64 x x))))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 x x))) x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 (*.f64 x x)))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x))))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 x x))) x) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x))))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2)) 1) (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) |
(/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2)) (/.f64 1 x)) (+.f64 1 (neg.f64 (cos.f64 x)))) |
(/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2)) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) 2)) |
(/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2)) (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2)) (/.f64 x (+.f64 1 (neg.f64 (cos.f64 x))))) |
(/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2)) (+.f64 (pow.f64 x -3) (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 2) (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x))))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 3)) (pow.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) 2))) 1) (+.f64 (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 2) (/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1)))) (/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) 2) x) (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 3))) 1)) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2)) (+.f64 1 (neg.f64 (cos.f64 x)))) (/.f64 1 x)) |
(/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2)) (+.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(/.f64 (*.f64 (/.f64 1 x) (pow.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) 2)) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (pow.f64 x -1/2)) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))))) |
(/.f64 (/.f64 (pow.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) 2) x) (*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 (cos.f64 x)) x)) (pow.f64 x -1/2)) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (neg.f64 (cos.f64 x)) x))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2) -1) (neg.f64 x)) (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) |
(/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1))) |
(/.f64 (/.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 3))) (neg.f64 x)) (+.f64 (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 2) (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)))) |
(/.f64 1 (/.f64 x (/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 3)) (+.f64 (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 2) (/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x))))) |
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 3)) (*.f64 x (+.f64 (pow.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1)))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 2) -1) (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (neg.f64 x)) |
(/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1))) |
(/.f64 (/.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 3))) (+.f64 (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 2) (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)))) (neg.f64 x)) |
(/.f64 1 (/.f64 x (/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 3)) (+.f64 (pow.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) 2) (/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x))))) |
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 3)) (*.f64 x (+.f64 (pow.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1)))))) |
(/.f64 (/.f64 (neg.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) 1) (neg.f64 x)) |
(/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1))) |
(/.f64 (/.f64 (neg.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (+.f64 (/.f64 -1 x) (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (neg.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (cbrt.f64 (*.f64 x x))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) -1) x) |
(/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1))) |
(/.f64 (/.f64 (neg.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (+.f64 (/.f64 -1 x) (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)))) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (/.f64 -1 x) (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (+.f64 (/.f64 -1 x) (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)))) (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))))) |
(/.f64 (-.f64 (/.f64 -1 x) (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (+.f64 (/.f64 -1 x) (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (neg.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))) (neg.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x)) |
(/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(pow.f64 (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)) 1) |
(/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1))) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x))) 2) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x)) 2) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x))) 3) |
(/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1))) |
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)) 3) 1/3) |
(/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1))) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1))) 2)) |
(log.f64 (exp.f64 (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)))) |
(/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x))))) |
(/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)) 3)) |
(/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1))) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 3) (pow.f64 x -3))) |
(cbrt.f64 (*.f64 (pow.f64 x -3) (pow.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 x -3) (pow.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) 3) (pow.f64 x 3))) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) 3) (pow.f64 x 3))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)))) |
(/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1))) |
(exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)))) |
(/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)))) |
(/.f64 (fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x)) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 x 1))) |
Compiled 40573 to 23129 computations (43% saved)
26 alts after pruning (17 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1761 | 10 | 1771 |
| Fresh | 3 | 7 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 9 | 12 |
| Total | 1768 | 26 | 1794 |
| Status | Error | Program |
|---|---|---|
| ✓ | 28.9b | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
| 46.2b | (/.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) x) x) | |
| 46.2b | (/.f64 (/.f64 1 x) (/.f64 x (*.f64 1/2 (*.f64 x x)))) | |
| 12.9b | (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) | |
| 29.0b | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) | |
| 33.6b | (/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) | |
| ✓ | 29.4b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 29.0b | (/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x) | |
| ✓ | 12.8b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 46.2b | (/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) x) | |
| 29.2b | (/.f64 -1 (/.f64 (neg.f64 x) (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) | |
| 29.2b | (/.f64 -1 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) x)) | |
| 29.5b | (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| 29.4b | (+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) | |
| ✓ | 33.7b | (+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
| 33.5b | (+.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x)))) | |
| ✓ | 33.7b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| ✓ | 47.4b | (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) |
| 29.4b | (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) | |
| 46.2b | (*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) x) (/.f64 1 x)) | |
| ✓ | 13.5b | (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) |
| ✓ | 29.4b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
| 47.3b | (*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) | |
| ✓ | 32.8b | (*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
| 32.7b | 1/2 | |
| 43.7b | 0 |
Compiled 293 to 202 computations (31.1% saved)
| Inputs |
|---|
0 |
1/2 |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (-.f64 1 1) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) x) x) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) x) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) x) (/.f64 1 x)) |
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 1/2 (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(*.f64 (/.f64 1/2 x) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
(*.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) x) (-.f64 1 (cos.f64 x))) |
(/.f64 -1 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) x)) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x))) |
(+.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x)))) |
(/.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x) |
(*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
(+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) |
(/.f64 -1 (/.f64 (neg.f64 x) (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))) |
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x))))) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) |
(+.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x)))) |
(/.f64 -1 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) x)) |
2 calls:
| 83.0ms | x |
| 12.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 3 | x |
| 0.3b | 2 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 476 to 261 computations (45.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 0.0006642607165535105 | 133615499717.14497 |
| 2.0ms | -0.21662377138766914 | -2.532385106565473e-6 |
| 23.0ms | 176× | body | 256 | valid |
Compiled 311 to 240 computations (22.8% saved)
| Inputs |
|---|
0 |
1/2 |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (-.f64 1 1) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) x) x) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) x) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) x) (/.f64 1 x)) |
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 1/2 (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(*.f64 (/.f64 1/2 x) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
(*.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) x) (-.f64 1 (cos.f64 x))) |
(/.f64 -1 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) x)) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x))) |
(+.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x)))) |
(/.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x))))) |
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x) |
(*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
(+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) |
(/.f64 -1 (/.f64 (neg.f64 x) (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(+.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x)))) |
(/.f64 -1 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) x)) |
2 calls:
| 47.0ms | x |
| 34.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 3 | x |
| 0.2b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 388 to 217 computations (44.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 0.0006642607165535105 | 133615499717.14497 |
| 20.0ms | -0.21662377138766914 | -2.532385106565473e-6 |
| 35.0ms | 304× | body | 256 | valid |
Compiled 508 to 390 computations (23.2% saved)
| Inputs |
|---|
0 |
1/2 |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (-.f64 1 1) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) x) x) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) x) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) x) (/.f64 1 x)) |
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 1/2 (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(*.f64 (/.f64 1/2 x) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
(*.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) x) (-.f64 1 (cos.f64 x))) |
(/.f64 -1 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) x)) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x))) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
(/.f64 -1 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) x)) |
2 calls:
| 63.0ms | x |
| 10.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
| 0.2b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 259 to 149 computations (42.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 0.0006642607165535105 | 133615499717.14497 |
| 19.0ms | -0.21662377138766914 | -2.532385106565473e-6 |
| 35.0ms | 304× | body | 256 | valid |
Compiled 470 to 371 computations (21.1% saved)
| Inputs |
|---|
0 |
1/2 |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (-.f64 1 1) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) x) x) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) x) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) x) (/.f64 1 x)) |
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 1/2 (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(*.f64 (/.f64 1/2 x) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) |
(*.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) x) (-.f64 1 (cos.f64 x))) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
2 calls:
| 31.0ms | x |
| 21.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
| 0.2b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 184 to 109 computations (40.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 0.0006642607165535105 | 133615499717.14497 |
| 19.0ms | -0.21662377138766914 | -2.532385106565473e-6 |
| 36.0ms | 304× | body | 256 | valid |
Compiled 450 to 351 computations (22% saved)
| Inputs |
|---|
0 |
1/2 |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (-.f64 1 1) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) x) x) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) x) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) x) (/.f64 1 x)) |
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 1/2 (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(*.f64 (/.f64 1/2 x) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
2 calls:
| 23.0ms | x |
| 8.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
| 0.2b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 137 to 83 computations (39.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.0006642607165535105 | 133615499717.14497 |
| 54.0ms | -0.21662377138766914 | -2.532385106565473e-6 |
| 70.0ms | 304× | body | 256 | valid |
Compiled 450 to 351 computations (22% saved)
| Inputs |
|---|
0 |
1/2 |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (-.f64 1 1) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) x) x) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) x) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) x) (/.f64 1 x)) |
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 1/2 (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(*.f64 (/.f64 1/2 x) (sin.f64 x)) |
| Outputs |
|---|
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
1 calls:
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 12.9b | 1 | x |
Compiled 120 to 73 computations (39.2% saved)
Total -48.7b remaining (-335.8%)
Threshold costs -48.7b (-335.8%)
| Inputs |
|---|
0 |
1/2 |
(*.f64 (*.f64 1/2 x) (/.f64 1 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (-.f64 1 1) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) x) x) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 -1/2 x))) x) |
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) x) (/.f64 1 x)) |
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) |
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 1/2 (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 -1/2 (*.f64 x x))) |
| Outputs |
|---|
0 |
1/2 |
0 |
1 calls:
| 19.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 14.5b | 3 | x |
Compiled 101 to 59 computations (41.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 2.564615921412254e+75 | 1.4600552563395421e+85 |
| 59.0ms | -3.377284703013194e+79 | -2.112597622621227e+73 |
| 79.0ms | 224× | body | 512 | valid |
| 10.0ms | 80× | body | 256 | valid |
Compiled 127 to 123 computations (3.1% saved)
| 1× | egg-herbie |
| 18× | +-commutative |
| 14× | *-commutative |
| 6× | sub-neg |
| 6× | if-if-or-not |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 542 |
| 1 | 95 | 542 |
| 2 | 99 | 542 |
| 3 | 101 | 542 |
| 4 | 102 | 542 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -3602879701896397/18014398509481984) (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) (if (<=.f64 x 1098878309078401/36028797018963968) (+.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x)))) (/.f64 -1 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) x)))) |
(if (<=.f64 x -1261007895663739/36028797018963968) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 1098878309078401/36028797018963968) (+.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x)))) (/.f64 -1 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) x)))) |
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 6110483974416289/1152921504606846976) (+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) (/.f64 -1 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) x)))) |
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 6110483974416289/1152921504606846976) (+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 6110483974416289/1152921504606846976) (+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(if (<=.f64 x -134999999999999991890675758616325914658395787935736092617935634675990850961408) 0 (if (<=.f64 x 154999999999999999259630625570396408609363360116119764235305028876958691229696) 1/2 0)) |
0 |
| Outputs |
|---|
(if (<=.f64 x -3602879701896397/18014398509481984) (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) (if (<=.f64 x 1098878309078401/36028797018963968) (+.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x)))) (/.f64 -1 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) x)))) |
(if (<=.f64 x -3602879701896397/18014398509481984) (*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)) (sin.f64 x)) (if (<=.f64 x 1098878309078401/36028797018963968) (+.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1/24))) (/.f64 -1 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))))) |
(if (<=.f64 x -1261007895663739/36028797018963968) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 1098878309078401/36028797018963968) (+.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x)))) (/.f64 -1 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) x)))) |
(if (<=.f64 x -1261007895663739/36028797018963968) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 1098878309078401/36028797018963968) (+.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1/24))) (/.f64 -1 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))))) |
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 6110483974416289/1152921504606846976) (+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) (/.f64 -1 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) x)))) |
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 6110483974416289/1152921504606846976) (+.f64 1/2 (+.f64 (+.f64 (*.f64 (*.f64 x x) -1/24) 1) -1)) (/.f64 -1 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))))) |
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 6110483974416289/1152921504606846976) (+.f64 1/2 (+.f64 -1 (+.f64 (*.f64 (*.f64 x x) -1/24) 1))) (/.f64 -1 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))))) |
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 6110483974416289/1152921504606846976) (+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) |
(if (or (<=.f64 x -1498797955988901/288230376151711744) (not (<=.f64 x 6110483974416289/1152921504606846976))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (+.f64 1/2 (+.f64 (+.f64 (*.f64 (*.f64 x x) -1/24) 1) -1))) |
(if (or (<=.f64 x -1498797955988901/288230376151711744) (not (<=.f64 x 6110483974416289/1152921504606846976))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (+.f64 1/2 (+.f64 -1 (+.f64 (*.f64 (*.f64 x x) -1/24) 1)))) |
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 6110483974416289/1152921504606846976) (+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(if (or (<=.f64 x -1498797955988901/288230376151711744) (not (<=.f64 x 6110483974416289/1152921504606846976))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (+.f64 1/2 (+.f64 (+.f64 (*.f64 (*.f64 x x) -1/24) 1) -1))) |
(if (or (<=.f64 x -1498797955988901/288230376151711744) (not (<=.f64 x 6110483974416289/1152921504606846976))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (+.f64 1/2 (+.f64 -1 (+.f64 (*.f64 (*.f64 x x) -1/24) 1)))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (*.f64 2 (/.f64 1 x)))) |
(if (<=.f64 x -134999999999999991890675758616325914658395787935736092617935634675990850961408) 0 (if (<=.f64 x 154999999999999999259630625570396408609363360116119764235305028876958691229696) 1/2 0)) |
0 |
Compiled 207 to 151 computations (27.1% saved)
| 3× | egg-herbie |
| 1088× | associate-/l* |
| 800× | associate-*r* |
| 792× | associate-*l* |
| 722× | associate-/r* |
| 702× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 363 | 5702 |
| 1 | 966 | 5268 |
| 2 | 4673 | 5228 |
| 0 | 363 | 5702 |
| 1 | 966 | 5268 |
| 2 | 4673 | 5228 |
| 0 | 584 | 9556 |
| 1 | 1715 | 8576 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 191 to 108 computations (43.5% saved)
Compiled 200 to 136 computations (32% saved)
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