Time bar (total: 12.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 5 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 6 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 7 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 8 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 9 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 10 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 11 |
| 78.1% | 78.1% | 21.9% | 0% | 0% | 0% | 0% | 12 |
Compiled 10 to 7 computations (30% saved)
| 1.4s | 2100× | body | 2048 | valid |
| 413.0ms | 1532× | body | 512 | valid |
| 410.0ms | 3421× | body | 256 | valid |
| 341.0ms | 1115× | body | 1024 | valid |
| 93.0ms | 88× | body | 4096 | valid |
| 2× | egg-herbie |
| 416× | fma-def |
| 224× | associate-*r* |
| 212× | associate-+l- |
| 204× | associate-/r* |
| 182× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 18 | 23 |
| 2 | 29 | 23 |
| 3 | 43 | 23 |
| 4 | 77 | 23 |
| 5 | 130 | 23 |
| 6 | 197 | 23 |
| 7 | 347 | 23 |
| 8 | 698 | 23 |
| 9 | 1261 | 23 |
| 10 | 1950 | 23 |
| 11 | 2090 | 23 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
| 416× | fma-def |
| 224× | associate-*r* |
| 212× | associate-+l- |
| 204× | associate-/r* |
| 182× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 18 | 23 |
| 2 | 29 | 23 |
| 3 | 43 | 23 |
| 4 | 77 | 23 |
| 5 | 130 | 23 |
| 6 | 197 | 23 |
| 7 | 347 | 23 |
| 8 | 698 | 23 |
| 9 | 1261 | 23 |
| 10 | 1950 | 23 |
| 11 | 2090 | 23 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 9 to 6 computations (33.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 30.5b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 9 to 6 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.0b | (-.f64 1 (cos.f64 x)) |
| ✓ | 15.9b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 20 to 9 computations (55% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (-.f64 1 (cos.f64 x)) |
| 0.0ms | x | @ | inf | (-.f64 1 (cos.f64 x)) |
| 1× | batch-egg-rewrite |
| 1514× | associate-*r/ |
| 1354× | associate-/r* |
| 1182× | associate-/l* |
| 1142× | associate-*l/ |
| 872× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 34 |
| 1 | 190 | 34 |
| 2 | 2636 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(-.f64 1 (cos.f64 x)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) 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(cos.f64 x)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 552× | div-sub |
| 432× | associate-/l* |
| 432× | associate-+r+ |
| 390× | associate-+l+ |
| 370× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 321 | 5119 |
| 1 | 890 | 4897 |
| 2 | 3946 | 4843 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) |
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (pow.f64 x -2)) |
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x)))) |
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(+.f64 1 (neg.f64 (cos.f64 x))) |
(+.f64 (neg.f64 (cos.f64 x)) 1) |
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(*.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) 1) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 1 (cos.f64 x))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 1 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(*.f64 (*.f64 1/2 x) x) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
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(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(-.f64 1 (cos.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(-.f64 1 (cos.f64 x)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(-.f64 1 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(-.f64 1 (cos.f64 x)) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
Compiled 4007 to 2144 computations (46.5% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 181 | 17 | 198 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 181 | 18 | 199 |
| Status | Error | Program |
|---|---|---|
| 32.5b | (fma.f64 -1/24 (*.f64 x x) 1/2) | |
| 30.0b | (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) | |
| 30.0b | (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) | |
| 30.7b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) (*.f64 x x)) | |
| 16.3b | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) | |
| 30.5b | (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) | |
| ✓ | 30.5b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| ▶ | 30.7b | (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
| 17.1b | (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) | |
| ▶ | 16.3b | (/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x)) |
| 16.3b | (/.f64 (*.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 x x)) | |
| ▶ | 16.2b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| ▶ | 32.4b | (+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
| ▶ | 32.5b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 30.5b | (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) | |
| 30.0b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) | |
| 30.6b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) | |
| 31.7b | 1/2 |
Compiled 443 to 312 computations (29.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| ✓ | 15.6b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
Compiled 33 to 18 computations (45.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| 0.0ms | x | @ | -inf | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| 1× | batch-egg-rewrite |
| 960× | unswap-sqr |
| 834× | swap-sqr |
| 410× | sqr-pow |
| 408× | pow-sqr |
| 382× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 54 |
| 1 | 239 | 54 |
| 2 | 3327 | 54 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| Outputs |
|---|
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(sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))))) (#(struct:change #<rule 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x 1/2)) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))))) |
| 1× | egg-herbie |
| 1428× | associate-/r* |
| 1248× | associate-/l/ |
| 824× | distribute-rgt-in |
| 818× | distribute-lft-in |
| 728× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 284 | 5218 |
| 1 | 760 | 4964 |
| 2 | 3094 | 4964 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)) |
(*.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 x -2))) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (/.f64 1 (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) |
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 4)) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))) (sin.f64 x)) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) x) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (pow.f64 (cbrt.f64 x) 4)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) 1)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 x x)) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6)) |
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2)) |
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) 1)) |
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 x (neg.f64 x))))) |
(neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x x))) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) |
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x))) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x))))) |
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(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
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(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2)) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)) |
(fabs.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))) |
(fabs.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) |
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 3) (pow.f64 x 6))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
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(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3)) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1)) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| ✓ | 0.2b | (*.f64 -1/24 (*.f64 x x)) |
Compiled 19 to 10 computations (47.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 0.0ms | x | @ | inf | (*.f64 -1/24 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 -1/24 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| 0.0ms | x | @ | -inf | (*.f64 -1/24 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1720× | add-sqr-sqrt |
| 1684× | *-un-lft-identity |
| 1592× | add-cube-cbrt |
| 1582× | add-cbrt-cube |
| 166× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 174 | 28 |
| 2 | 2146 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (*.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 -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x 4) 1/576) (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 -1/24 x) x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2) (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (/.f64 1 (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (/.f64 1 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/2 (*.f64 1/24 (*.f64 x x))) (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x)))) (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (+.f64 (*.f64 (pow.f64 x 4) 1/576) (-.f64 1/4 (*.f64 -1/48 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/576) 1/4) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576))) (neg.f64 (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824))) (neg.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/24 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/24 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/24 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/24 x) x 1/2))))) |
| 1× | egg-herbie |
| 1622× | associate-/l* |
| 1300× | associate-*r* |
| 1058× | associate-+r+ |
| 1052× | associate-*l* |
| 874× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 1520 |
| 1 | 277 | 1384 |
| 2 | 964 | 1340 |
| 3 | 4865 | 1340 |
| 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)) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(*.f64 -1/24 (pow.f64 x 2)) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(*.f64 -1/24 (pow.f64 x 2)) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(-.f64 (exp.f64 (log1p.f64 (*.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 (*.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)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) 1) |
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x 4) 1/576) (+.f64 1/2 (*.f64 1/24 (*.f64 x x))))) |
(*.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 1) |
(*.f64 1 (fma.f64 (*.f64 -1/24 x) x 1/2)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(*.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2) (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (/.f64 1 (+.f64 1/2 (*.f64 1/24 (*.f64 x x))))) |
(*.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (/.f64 1 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x)))))) |
(/.f64 1 (/.f64 (+.f64 1/2 (*.f64 1/24 (*.f64 x x))) (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)))) |
(/.f64 1 (/.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x)))) (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)))) |
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))) |
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x))))) |
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (+.f64 (*.f64 (pow.f64 x 4) 1/576) (-.f64 1/4 (*.f64 -1/48 (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/576) 1/4) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)) |
(/.f64 (neg.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576))) (neg.f64 (+.f64 1/2 (*.f64 1/24 (*.f64 x x))))) |
(/.f64 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824))) (neg.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x)))))) |
(pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 3) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 2)) |
(log.f64 (exp.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))) |
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(exp.f64 (log.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(fma.f64 (*.f64 x x) -1/24 1/2) |
(fma.f64 1 (*.f64 -1/24 (*.f64 x x)) 1/2) |
(fma.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)) 1/2) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 1/2) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
| 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)) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 x (*.f64 -1/24 x)) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(-.f64 (exp.f64 (log1p.f64 (*.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 (*.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)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) 1) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x 4) 1/576) (+.f64 1/2 (*.f64 1/24 (*.f64 x x))))) |
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 (*.f64 x x) 1/24))) |
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) -1/576 1/4) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (fma.f64 x (*.f64 -1/24 x) -1/2)) |
(*.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 1) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 1 (fma.f64 (*.f64 -1/24 x) x 1/2)) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2)) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2) (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (/.f64 1 (+.f64 1/2 (*.f64 1/24 (*.f64 x x))))) |
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 (*.f64 x x) 1/24))) |
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) -1/576 1/4) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (fma.f64 x (*.f64 -1/24 x) -1/2)) |
(*.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (/.f64 1 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x)))))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/8) (/.f64 1 (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (*.f64 (*.f64 x x) -1/48)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (-.f64 1/4 (*.f64 (*.f64 x x) -1/48)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (fma.f64 (*.f64 x x) 1/48 1/4))) |
(/.f64 1 (/.f64 (+.f64 1/2 (*.f64 1/24 (*.f64 x x))) (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)))) |
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 (*.f64 x x) 1/24))) |
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) -1/576 1/4) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (fma.f64 x (*.f64 -1/24 x) -1/2)) |
(/.f64 1 (/.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x)))) (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/8) (/.f64 1 (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (*.f64 (*.f64 x x) -1/48)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (-.f64 1/4 (*.f64 (*.f64 x x) -1/48)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (fma.f64 (*.f64 x x) 1/48 1/4))) |
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))) |
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 (*.f64 x x) 1/24))) |
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) -1/576 1/4) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (fma.f64 x (*.f64 -1/24 x) -1/2)) |
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x))))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/8) (/.f64 1 (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (*.f64 (*.f64 x x) -1/48)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (-.f64 1/4 (*.f64 (*.f64 x x) -1/48)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (fma.f64 (*.f64 x x) 1/48 1/4))) |
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (+.f64 (*.f64 (pow.f64 x 4) 1/576) (-.f64 1/4 (*.f64 -1/48 (*.f64 x x))))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/8) (/.f64 1 (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (*.f64 (*.f64 x x) -1/48)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (-.f64 1/4 (*.f64 (*.f64 x x) -1/48)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (fma.f64 (*.f64 x x) 1/48 1/4))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/576) 1/4) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)) |
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 (*.f64 x x) 1/24))) |
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) -1/576 1/4) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (fma.f64 x (*.f64 -1/24 x) -1/2)) |
(/.f64 (neg.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576))) (neg.f64 (+.f64 1/2 (*.f64 1/24 (*.f64 x x))))) |
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 (*.f64 x x) 1/24))) |
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) -1/576 1/4) (fma.f64 (*.f64 x x) 1/24 1/2)) |
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (fma.f64 x (*.f64 -1/24 x) -1/2)) |
(/.f64 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824))) (neg.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x)))))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/8) (/.f64 1 (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (*.f64 (*.f64 x x) -1/48)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (-.f64 1/4 (*.f64 (*.f64 x x) -1/48)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (fma.f64 (*.f64 x x) 1/48 1/4))) |
(pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 1) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 3) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 3) 1/3) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 2)) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(log.f64 (exp.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 3)) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(exp.f64 (log.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 1)) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(fma.f64 (*.f64 x x) -1/24 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(fma.f64 1 (*.f64 -1/24 (*.f64 x x)) 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(fma.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)) 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 1/2) |
(fma.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) 1/2) |
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 -1/24 x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) 1/2) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (+.f64 1 (cos.f64 x)) |
| ✓ | 0.4b | (-.f64 1 (+.f64 1 (cos.f64 x))) |
| ✓ | 2.0b | (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
| ✓ | 15.9b | (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
Compiled 38 to 23 computations (39.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (+.f64 1 (cos.f64 x)) |
| 0.0ms | x | @ | inf | (-.f64 1 (+.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (-.f64 1 (+.f64 1 (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1732× | associate-/r* |
| 1178× | associate-/l* |
| 646× | associate-/r/ |
| 538× | associate-/l/ |
| 350× | associate-+r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 68 |
| 1 | 249 | 54 |
| 2 | 3645 | 54 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(-.f64 1 (+.f64 1 (cos.f64 x))) |
(+.f64 1 (cos.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(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 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) 1))))) |
| 1× | egg-herbie |
| 1418× | associate-*r* |
| 1272× | associate-*l* |
| 1086× | associate-/r* |
| 1030× | associate-/l* |
| 884× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 787 | 15200 |
| 1 | 2411 | 14544 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
-1 |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) 1) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) 1) |
(*.f64 -1 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) 1) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) 1)) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -2)) (-.f64 (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (pow.f64 (neg.f64 (cos.f64 x)) 2)) (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -2)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) 3))) (+.f64 (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x)))))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x)))) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2)) |
(log.f64 (exp.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (neg.f64 (cos.f64 x)) -1) |
(-.f64 (-.f64 1 (cos.f64 x)) 0) |
(-.f64 0 (+.f64 (cos.f64 x) -1)) |
(-.f64 3 (+.f64 (cos.f64 x) 2)) |
(-.f64 2 (+.f64 1 (cos.f64 x))) |
(-.f64 (exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) 1) |
(-.f64 (/.f64 1 (+.f64 (cos.f64 x) 2)) (-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 (cos.f64 x) 2)) 1)) |
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(/.f64 (/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) 2)))) |
(/.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)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1)) (/.f64 1 (-.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) 2)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (+.f64 -1 (cos.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (/.f64 (neg.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 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) -1) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (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 (cos.f64 x) 2))) |
(exp.f64 (log1p.f64 (cos.f64 x))) |
(exp.f64 (*.f64 (log1p.f64 (cos.f64 x)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 x)))) |
(fma.f64 1 (cos.f64 x) 1) |
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) 1) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
-1 |
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) |
(fma.f64 1/2 (*.f64 x x) -1) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) 1) |
(+.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) -1) |
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/2 (*.f64 x x) -1)) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) 1) |
(+.f64 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) -1) |
(+.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))) (fma.f64 1/2 (*.f64 x x) -1)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(*.f64 -1 (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 2 (*.f64 -1/2 (*.f64 x x))) |
(+.f64 2 (*.f64 (*.f64 -1/2 x) x)) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/24))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/720)))) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(+.f64 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1)) (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (*.f64 (pow.f64 x -2) (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 2))) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (/.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -2))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (/.f64 (-.f64 -1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) 1)) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 2))) (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) -1)) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (/.f64 (-.f64 -1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2))) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -2)) (-.f64 (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (pow.f64 (neg.f64 (cos.f64 x)) 2)) (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 4) (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 4) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -2)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) 3))) (+.f64 (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) 3)) (pow.f64 x -2))) (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 4) (-.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x)))))) |
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 6)) (-.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 4) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x)))))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
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(/.f64 (/.f64 (neg.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 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (neg.f64 (sin.f64 x)))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) -1) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (-.f64 1 (cos.f64 x))) -1) |
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (-.f64 1 (cos.f64 x))) -1) |
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (-.f64 1 (cos.f64 x))) -1) |
(pow.f64 (+.f64 1 (cos.f64 x)) 1) |
(+.f64 1 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) 2) |
(+.f64 1 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 3) |
(+.f64 1 (cos.f64 x)) |
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) 1/3) |
(+.f64 1 (cos.f64 x)) |
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (+.f64 1 (cos.f64 x)))) |
(+.f64 1 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (cos.f64 x))))) |
(+.f64 1 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) |
(+.f64 1 (cos.f64 x)) |
(expm1.f64 (log.f64 (+.f64 (cos.f64 x) 2))) |
(expm1.f64 (log.f64 (+.f64 2 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (cos.f64 x))) |
(exp.f64 (*.f64 (log1p.f64 (cos.f64 x)) 1)) |
(exp.f64 (log1p.f64 (cos.f64 x))) |
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 x)))) |
(+.f64 1 (cos.f64 x)) |
(fma.f64 1 (cos.f64 x) 1) |
(+.f64 1 (cos.f64 x)) |
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) 1) |
(+.f64 1 (*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) 1) |
(+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 x (*.f64 x -1/24)) |
| ✓ | 0.4b | (*.f64 x -1/24) |
| ✓ | 12.2b | (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) |
Compiled 39 to 28 computations (28.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) |
| 0.0ms | x | @ | inf | (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) |
| 0.0ms | x | @ | 0 | (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) |
| 0.0ms | x | @ | -inf | (*.f64 x -1/24) |
| 0.0ms | x | @ | 0 | (*.f64 x -1/24) |
| 1× | batch-egg-rewrite |
| 1974× | add-sqr-sqrt |
| 1942× | *-un-lft-identity |
| 1822× | add-cube-cbrt |
| 1800× | add-cbrt-cube |
| 208× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 47 |
| 1 | 228 | 47 |
| 2 | 2521 | 47 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) |
(*.f64 x -1/24) |
(*.f64 x (*.f64 x -1/24)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2) (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 1/576)) (-.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x -1/24)) 3)) (+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x -1/24))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -1/24) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x -1/24) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -1/24) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x -1/24)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -1/24))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1/24)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/24))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/24))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/24)))))))) |
| 1× | egg-herbie |
| 1068× | unswap-sqr |
| 830× | associate--r+ |
| 788× | +-commutative |
| 734× | distribute-lft-in |
| 706× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 1559 |
| 1 | 277 | 1515 |
| 2 | 1386 | 1497 |
| 3 | 6297 | 1497 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 1/720 (pow.f64 x 4)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 1/720 (pow.f64 x 4)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24))) |
(+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x -1/24))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) 1) |
(*.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1) |
(*.f64 1 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(*.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(*.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2) (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 1/576)) (-.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x -1/24)) 3)) (+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24)))))) |
(pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 3) |
(pow.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 2)) |
(log.f64 (exp.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))) |
(cbrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(exp.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/24))) 1) |
(pow.f64 (*.f64 x -1/24) 1) |
(pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3) |
(pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x -1/24) 2)) |
(log.f64 (pow.f64 (exp.f64 x) -1/24)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/24)))) |
(cbrt.f64 (pow.f64 (*.f64 x -1/24) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x -1/24))) |
(exp.f64 (log.f64 (*.f64 x -1/24))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x -1/24)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x -1/24))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) 1) |
(pow.f64 (*.f64 x (*.f64 x -1/24)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/24))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576)) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/24))))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/24)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/24))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/24)))) |
| Outputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 1/720 (pow.f64 x 4)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 1/720 (pow.f64 x 4)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 x) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x -1/24))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) 1) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 1 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2)) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2) (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 1/576)) (-.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24)))) |
(/.f64 (-.f64 (*.f64 1/518400 (*.f64 (pow.f64 x 4) (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 1/576)) (-.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x)))) |
(/.f64 (fma.f64 1/518400 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 1/720 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/24))) |
(/.f64 (pow.f64 x 4) (/.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x 1/24))) (fma.f64 (pow.f64 x 4) 1/518400 -1/576))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x -1/24)) 3)) (+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24)))))) |
(/.f64 (+.f64 (*.f64 1/373248000 (pow.f64 (pow.f64 x 4) 3)) (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) (+.f64 (*.f64 1/518400 (*.f64 (pow.f64 x 4) (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 1/720 (*.f64 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))))) |
(/.f64 (fma.f64 1/373248000 (pow.f64 (pow.f64 x 4) 3) (*.f64 -1/13824 (pow.f64 (*.f64 x x) 3))) (fma.f64 1/518400 (pow.f64 x 8) (fma.f64 (pow.f64 x 4) 1/576 (*.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 (pow.f64 x 4) -1/720))))) |
(/.f64 (fma.f64 1/373248000 (pow.f64 (*.f64 x x) 6) (*.f64 -1/13824 (pow.f64 x 6))) (fma.f64 (pow.f64 x 4) 1/576 (fma.f64 1/720 (*.f64 (pow.f64 x 6) 1/24) (*.f64 1/518400 (pow.f64 x 8))))) |
(pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(pow.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 3) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(pow.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3) 1/3) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(sqrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 2)) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(log.f64 (exp.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(cbrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3)) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(expm1.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(exp.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 1)) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(log1p.f64 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/24))) 1) |
(*.f64 -1/24 x) |
(pow.f64 (*.f64 x -1/24) 1) |
(*.f64 -1/24 x) |
(pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2) |
(*.f64 -1/24 x) |
(pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3) |
(*.f64 -1/24 x) |
(pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3) |
(*.f64 -1/24 x) |
(sqrt.f64 (pow.f64 (*.f64 x -1/24) 2)) |
(*.f64 -1/24 x) |
(log.f64 (pow.f64 (exp.f64 x) -1/24)) |
(*.f64 -1/24 x) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/24)))) |
(*.f64 -1/24 x) |
(cbrt.f64 (pow.f64 (*.f64 x -1/24) 3)) |
(*.f64 -1/24 x) |
(expm1.f64 (log1p.f64 (*.f64 x -1/24))) |
(*.f64 -1/24 x) |
(exp.f64 (log.f64 (*.f64 x -1/24))) |
(*.f64 -1/24 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x -1/24)) 1)) |
(*.f64 -1/24 x) |
(log1p.f64 (expm1.f64 (*.f64 x -1/24))) |
(*.f64 -1/24 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(pow.f64 (*.f64 x (*.f64 x -1/24)) 1) |
(*.f64 -1/24 (*.f64 x x)) |
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2) |
(*.f64 -1/24 (*.f64 x x)) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/24))) 3) |
(*.f64 -1/24 (*.f64 x x)) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3) 1/3) |
(*.f64 -1/24 (*.f64 x x)) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576)) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24))) |
(*.f64 -1/24 (*.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/24))))) |
(*.f64 -1/24 (*.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3)) |
(*.f64 -1/24 (*.f64 x x)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) |
(*.f64 -1/24 (*.f64 x x)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/24)))) |
(*.f64 -1/24 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/24))) 1)) |
(*.f64 -1/24 (*.f64 x x)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/24)))) |
(*.f64 -1/24 (*.f64 x x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
| ✓ | 0.2b | (*.f64 (sin.f64 x) (sin.f64 x)) |
| 0.3b | (+.f64 1 (cos.f64 x)) | |
| ✓ | 15.6b | (/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x)) |
Compiled 53 to 23 computations (56.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x)) |
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 1456× | associate-/r/ |
| 1274× | associate-/l/ |
| 790× | distribute-lft-in |
| 302× | add-sqr-sqrt |
| 292× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 77 |
| 1 | 290 | 45 |
| 2 | 4436 | 45 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x)) |
(*.f64 (sin.f64 x) (sin.f64 x)) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (neg.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1/2) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (*.f64 -1/2 (cos.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1/2) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (neg.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (pow.f64 x -2) (pow.f64 (sin.f64 x) 2)))))) 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| 1× | egg-herbie |
| 830× | associate-/l* |
| 814× | times-frac |
| 794× | associate-*r* |
| 744× | associate-*l* |
| 714× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 531 | 7828 |
| 1 | 1651 | 6848 |
| 2 | 7600 | 6848 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
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(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(+.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 1/2) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 -1/2 (cos.f64 (+.f64 x x))))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 1/2) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (neg.f64 (*.f64 1/2 (cos.f64 (+.f64 x x)))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (neg.f64 (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 -1 (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) 1)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) 1) |
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 x)))) |
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) 1) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 1 (cos.f64 x)) 2)) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (*.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) 2))) |
(/.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) (sqrt.f64 2))) |
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) 2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -1) (-.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (/.f64 1 (+.f64 1 (cos.f64 x)))) 2) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 1 (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x)))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x))))) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 3)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x))))) (*.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 0) 3) (pow.f64 (cos.f64 (+.f64 x x)) 3)) (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x))) (*.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))))) |
(/.f64 (*.f64 -1 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 -1 (cos.f64 x)) 2)) |
(/.f64 (*.f64 -1 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (*.f64 1 (*.f64 (-.f64 -1 (cos.f64 x)) 2))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 1) (+.f64 2 (*.f64 2 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 1) (*.f64 1 (+.f64 2 (*.f64 2 (cos.f64 x))))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) -1) (*.f64 2 (-.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) -1) (*.f64 1 (*.f64 2 (-.f64 -1 (cos.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (*.f64 (+.f64 1 (cos.f64 x)) -2)) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (pow.f64 (pow.f64 (sin.f64 x) 2) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)))) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3))) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(exp.f64 (log.f64 (-.f64 1 (cos.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 1 (cos.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) |
(fma.f64 x x (*.f64 (pow.f64 x 4) -1/3)) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))) |
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 x x (*.f64 (pow.f64 x 6) 2/45))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x)))) |
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 x x (*.f64 (pow.f64 x 6) 2/45)))) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 -1 (cos.f64 x)))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x))))) |
(*.f64 (-.f64 1 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (cos.f64 x)))) (pow.f64 x -2)) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1/2) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (*.f64 -1/2 (cos.f64 (+.f64 x x))))) |
(*.f64 (/.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))) (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) 1/2) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))) (neg.f64 (*.f64 1/2 (cos.f64 (+.f64 x x)))))) |
(*.f64 (/.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)) |
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))) (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) |
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))) |
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
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(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x)) 1) |
(-.f64 1 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) |
(*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) 1)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) |
(*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) 1) |
(-.f64 1 (cos.f64 x)) |
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)) |
(/.f64 (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2) (+.f64 1 (cos.f64 x))) |
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (sin.f64 x) (*.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (-.f64 1 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x)))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 1 (cos.f64 x)) 2)) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)) |
(/.f64 (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2) (+.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (*.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)) |
(/.f64 (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2) (+.f64 1 (cos.f64 x))) |
(/.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) (sqrt.f64 2))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)) (sqrt.f64 2))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) (*.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) (sqrt.f64 2))) |
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) 2) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)) |
(/.f64 (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -1) (-.f64 -1 (cos.f64 x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) (/.f64 1 (+.f64 1 (cos.f64 x)))) 2) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)) |
(/.f64 (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2) (+.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (hypot.f64 1 (sqrt.f64 (cos.f64 x))))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 1 (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (*.f64 (+.f64 1 (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) |
(/.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x))))) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x))))) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (+.f64 1/4 (*.f64 -1/4 (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x))))) (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 3))) |
(/.f64 (-.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x)))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (*.f64 2 (cos.f64 (+.f64 x x)))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x x)) (sin.f64 (+.f64 x x))) (fma.f64 2 (cos.f64 x) 2)) (+.f64 1 (cos.f64 (+.f64 x x)))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4))))) |
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 3)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x))))) (*.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))))) |
(/.f64 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (+.f64 x x)) 3))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (+.f64 1/4 (*.f64 1/4 (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x))))) (*.f64 1/4 (cos.f64 (+.f64 x x)))))) |
(/.f64 (/.f64 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (+.f64 x x)) 3))) (+.f64 1 (cos.f64 x))) (+.f64 1/4 (*.f64 (cos.f64 (+.f64 x x)) (+.f64 (*.f64 (cos.f64 (+.f64 x x)) 1/4) 1/4)))) |
(/.f64 (/.f64 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (+.f64 x x)) 3))) (+.f64 1 (cos.f64 x))) (+.f64 1/4 (*.f64 (cos.f64 (+.f64 x x)) (+.f64 1/4 (*.f64 (cos.f64 (+.f64 x x)) 1/4))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 0) 3) (pow.f64 (cos.f64 (+.f64 x x)) 3)) (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x))) (*.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 (+.f64 x x)) 3)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (*.f64 2 (*.f64 (cos.f64 (+.f64 x x)) (+.f64 1 (cos.f64 (+.f64 x x)))))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 (+.f64 x x)) 3)) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) (+.f64 1 (cos.f64 (+.f64 x x))) 1) (fma.f64 2 (cos.f64 x) 2))) |
(/.f64 (*.f64 -1 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 -1 (cos.f64 x)) 2)) |
(/.f64 (neg.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) (*.f64 2 (-.f64 -1 (cos.f64 x)))) |
(*.f64 -1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 -1 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (*.f64 1 (*.f64 (-.f64 -1 (cos.f64 x)) 2))) |
(/.f64 (neg.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) (*.f64 2 (-.f64 -1 (cos.f64 x)))) |
(*.f64 -1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 1) (+.f64 2 (*.f64 2 (cos.f64 x)))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)) |
(/.f64 (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 1) (*.f64 1 (+.f64 2 (*.f64 2 (cos.f64 x))))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)) |
(/.f64 (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) -1) (*.f64 2 (-.f64 -1 (cos.f64 x)))) |
(/.f64 (neg.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) (*.f64 2 (-.f64 -1 (cos.f64 x)))) |
(*.f64 -1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) -1) (*.f64 1 (*.f64 2 (-.f64 -1 (cos.f64 x))))) |
(/.f64 (neg.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) (*.f64 2 (-.f64 -1 (cos.f64 x)))) |
(*.f64 -1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (-.f64 -1 (cos.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) (*.f64 (+.f64 1 (cos.f64 x)) -2)) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)) |
(/.f64 (fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2) (+.f64 1 (cos.f64 x))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(-.f64 1 (cos.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(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)) |
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (pow.f64 (pow.f64 (sin.f64 x) 2) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)))) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)))) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)))) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(exp.f64 (log.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(exp.f64 (*.f64 (log.f64 (-.f64 1 (cos.f64 x))) 1)) |
(-.f64 1 (cos.f64 x)) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
Compiled 28710 to 16548 computations (42.4% saved)
14 alts after pruning (12 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1290 | 8 | 1298 |
| Fresh | 8 | 4 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 1302 | 14 | 1316 |
| Status | Error | Program |
|---|---|---|
| 30.7b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) (*.f64 x x)) | |
| 30.8b | (/.f64 (-.f64 3 (+.f64 (cos.f64 x) 2)) (*.f64 x x)) | |
| ✓ | 30.5b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 47.4b | (/.f64 (+.f64 -1 1) (*.f64 x x)) | |
| ✓ | 16.2b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| 30.3b | (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| ▶ | 32.4b | (+.f64 1/2 (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))) |
| ▶ | 32.5b | (+.f64 1/2 (*.f64 x (*.f64 -1/24 x))) |
| ▶ | 30.0b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| 16.6b | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) | |
| ▶ | 0.2b | (*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
| 30.6b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) | |
| ▶ | 30.5b | (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) |
| 31.7b | 1/2 |
Compiled 269 to 194 computations (27.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (sin.f64 x) x) |
| ✓ | 0.2b | (*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
| ✓ | 0.2b | (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) |
Compiled 42 to 23 computations (45.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) |
| 1.0ms | x | @ | inf | (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) |
| 0.0ms | x | @ | -inf | (/.f64 (sin.f64 x) x) |
| 0.0ms | x | @ | 0 | (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) |
| 0.0ms | x | @ | 0 | (/.f64 (sin.f64 x) x) |
| 1× | batch-egg-rewrite |
| 1620× | associate-/r* |
| 1464× | associate-/l* |
| 476× | associate-/l/ |
| 378× | associate-/r/ |
| 264× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 71 |
| 1 | 267 | 71 |
| 2 | 3390 | 71 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change 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x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) 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(neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (/.f64 1 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x))))))) |
| 1× | egg-herbie |
| 1414× | associate-/r* |
| 1368× | associate-/l/ |
| 1150× | associate-/r/ |
| 1058× | times-frac |
| 886× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 816 | 15994 |
| 1 | 2259 | 15670 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) 1) |
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 x (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1) |
(/.f64 1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 1 (*.f64 1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))) |
(/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 1 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 1 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sin.f64 x)))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x)))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (/.f64 1 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (/.f64 1 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) |
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 x (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sin.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 1 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x)))) |
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 1 (sin.f64 x))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) x) |
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 (neg.f64 x) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) x) (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))) 1)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) (neg.f64 x)) (neg.f64 (sin.f64 x)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2))))) |
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(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3) 1/3) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))) |
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 2)) |
(log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) (/.f64 1 (pow.f64 x 3)))) |
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1) |
(*.f64 (sin.f64 x) (/.f64 1 x)) |
(*.f64 (/.f64 (sin.f64 x) x) 1) |
(*.f64 1 (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 1 x) (sin.f64 x)) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x))) |
(*.f64 (pow.f64 x -1/2) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 x)) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -1/2)) (pow.f64 x -1/2)) |
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 1 x)) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (pow.f64 x -1/2)) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) -1) |
(*.f64 (/.f64 -1 x) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 1 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(pow.f64 (/.f64 (sin.f64 x) x) 1) |
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3) |
(pow.f64 (/.f64 x (sin.f64 x)) -1) |
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x)) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1)) |
(neg.f64 (*.f64 (sin.f64 x) (/.f64 -1 x))) |
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (neg.f64 x)))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1)) |
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2)) |
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (/.f64 1 (pow.f64 x 3)))) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) |
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x)) |
(+.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 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.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 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) (*.f64 x x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) (*.f64 x x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) (*.f64 x x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) (*.f64 x x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) (*.f64 x x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) (*.f64 x x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) (*.f64 x x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) (*.f64 x x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))) |
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 x x))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/120))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/120)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) 1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 x (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(/.f64 1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(/.f64 1 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))) |
(/.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(/.f64 1 (*.f64 1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 1 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) |
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 1 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x))) 2) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (/.f64 (/.f64 x (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 x) x)) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sin.f64 x)))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (/.f64 (/.f64 x (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 x) x)) |
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(/.f64 (sin.f64 x) x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -1/2)) (pow.f64 x -1/2)) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2))) |
(*.f64 (sin.f64 x) (pow.f64 x -1)) |
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 1 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (pow.f64 x -1/2)) |
(*.f64 (pow.f64 x -1/2) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) -1) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 -1 x) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 1 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x)) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x)) |
(pow.f64 (/.f64 (sin.f64 x) x) 1) |
(/.f64 (sin.f64 x) x) |
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2) |
(/.f64 (sin.f64 x) x) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3) |
(/.f64 (sin.f64 x) x) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3) |
(/.f64 (sin.f64 x) x) |
(pow.f64 (/.f64 x (sin.f64 x)) -1) |
(/.f64 (sin.f64 x) x) |
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x))) |
(/.f64 (sin.f64 x) x) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x)) |
(/.f64 (sin.f64 x) x) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1)) |
(/.f64 (sin.f64 x) x) |
(neg.f64 (*.f64 (sin.f64 x) (/.f64 -1 x))) |
(/.f64 (sin.f64 x) x) |
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (neg.f64 x)))) |
(/.f64 (sin.f64 x) x) |
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1)) |
(/.f64 (sin.f64 x) x) |
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2)) |
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 (sin.f64 x) x) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3)) |
(/.f64 (sin.f64 x) x) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (/.f64 1 (pow.f64 x 3)))) |
(/.f64 (sin.f64 x) x) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) |
(/.f64 (sin.f64 x) x) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1)) |
(/.f64 (sin.f64 x) x) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1/2 (*.f64 x (*.f64 -1/24 x))) |
| ✓ | 0.1b | (*.f64 x (*.f64 -1/24 x)) |
| ✓ | 0.4b | (*.f64 -1/24 x) |
Compiled 19 to 13 computations (31.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 -1/24 x) |
| 0.0ms | x | @ | -inf | (*.f64 -1/24 x) |
| 0.0ms | x | @ | inf | (*.f64 -1/24 x) |
| 0.0ms | x | @ | -inf | (+.f64 1/2 (*.f64 x (*.f64 -1/24 x))) |
| 0.0ms | x | @ | inf | (+.f64 1/2 (*.f64 x (*.f64 -1/24 x))) |
| 1× | batch-egg-rewrite |
| 1736× | add-sqr-sqrt |
| 1704× | *-un-lft-identity |
| 1606× | add-cube-cbrt |
| 1594× | add-cbrt-cube |
| 164× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 39 |
| 1 | 172 | 35 |
| 2 | 2096 | 35 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 x) |
(*.f64 x (*.f64 -1/24 x)) |
(+.f64 1/2 (*.f64 x (*.f64 -1/24 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/24 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/24 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/24 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/24 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/576 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/24) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/24 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/24 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/24 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/24 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/24 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (sqrt.f64 (*.f64 -1/24 (*.f64 x x))) 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 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -1/24) x) x))))) (#(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 (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 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 -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 -1/24 x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (-.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2) (-.f64 1/2 (*.f64 -1/24 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 -1/24 x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 -1/24 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)) (sqrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)) 2) (cbrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2)) (/.f64 1 (-.f64 1/2 (*.f64 -1/24 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) (/.f64 1 (+.f64 1/4 (*.f64 (*.f64 -1/24 (*.f64 x x)) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (-.f64 1/4 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/4 (*.f64 (*.f64 -1/24 (*.f64 x x)) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2))) (+.f64 1/8 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2)) (-.f64 1/2 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) (+.f64 1/4 (*.f64 (*.f64 -1/24 (*.f64 x x)) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) (+.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2) (-.f64 1/4 (*.f64 (*.f64 -1/24 (*.f64 x x)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2) 1/4) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2))) (neg.f64 (-.f64 1/2 (*.f64 -1/24 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/8 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3))) (neg.f64 (+.f64 1/4 (*.f64 (*.f64 -1/24 (*.f64 x x)) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 -1/24 x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 -1/24 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -1/24 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/24 x) x 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/24 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/24 (*.f64 x x))) (sqrt.f64 (*.f64 -1/24 (*.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 2) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 1/2))))) |
| 1× | egg-herbie |
| 1010× | unswap-sqr |
| 864× | +-commutative |
| 822× | distribute-lft-in |
| 782× | distribute-rgt-in |
| 632× | associate-+r- |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 1602 |
| 1 | 312 | 1532 |
| 2 | 1351 | 1402 |
| 3 | 7284 | 1402 |
| 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)) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(*.f64 -1/24 (pow.f64 x 2)) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(*.f64 -1/24 (pow.f64 x 2)) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 x))) 1) |
(pow.f64 (*.f64 -1/24 x) 1) |
(pow.f64 (sqrt.f64 (*.f64 -1/24 x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 -1/24 x)) 3) |
(pow.f64 (pow.f64 (*.f64 -1/24 x) 3) 1/3) |
(sqrt.f64 (*.f64 1/576 (*.f64 x x))) |
(log.f64 (pow.f64 (exp.f64 -1/24) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 x)))) |
(cbrt.f64 (pow.f64 (*.f64 -1/24 x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 x))) |
(exp.f64 (log.f64 (*.f64 -1/24 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/24 x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) 1) |
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 -1/24 (*.f64 x x))) 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 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/24) x) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.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)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 -1/24 x) 1/2))) 1) |
(-.f64 (/.f64 1/4 (-.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2) (-.f64 1/2 (*.f64 -1/24 (*.f64 x x))))) |
(*.f64 (fma.f64 x (*.f64 -1/24 x) 1/2) 1) |
(*.f64 1 (fma.f64 x (*.f64 -1/24 x) 1/2)) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)) (sqrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2))) |
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)) 2) (cbrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2))) |
(*.f64 (-.f64 1/4 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2)) (/.f64 1 (-.f64 1/2 (*.f64 -1/24 (*.f64 x x))))) |
(*.f64 (+.f64 1/8 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) (/.f64 1 (+.f64 1/4 (*.f64 (*.f64 -1/24 (*.f64 x x)) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2))))) |
(/.f64 1 (/.f64 (-.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (-.f64 1/4 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2)))) |
(/.f64 1 (/.f64 (+.f64 1/4 (*.f64 (*.f64 -1/24 (*.f64 x x)) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2))) (+.f64 1/8 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)))) |
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2)) (-.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) (+.f64 1/4 (*.f64 (*.f64 -1/24 (*.f64 x x)) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)))) |
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) (+.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2) (-.f64 1/4 (*.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2) 1/4) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)) |
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2))) (neg.f64 (-.f64 1/2 (*.f64 -1/24 (*.f64 x x))))) |
(/.f64 (neg.f64 (+.f64 1/8 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3))) (neg.f64 (+.f64 1/4 (*.f64 (*.f64 -1/24 (*.f64 x x)) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2))))) |
(pow.f64 (fma.f64 x (*.f64 -1/24 x) 1/2) 1) |
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)) 3) |
(pow.f64 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1/2) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1/2) 2)) |
(log.f64 (exp.f64 (fma.f64 x (*.f64 -1/24 x) 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)))) |
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1/2) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 -1/24 x) 1/2))) |
(exp.f64 (log.f64 (fma.f64 x (*.f64 -1/24 x) 1/2))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 -1/24 x) 1/2))) |
(fma.f64 x (*.f64 -1/24 x) 1/2) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 1 (*.f64 -1/24 (*.f64 x x)) 1/2) |
(fma.f64 (sqrt.f64 (*.f64 -1/24 (*.f64 x x))) (sqrt.f64 (*.f64 -1/24 (*.f64 x x))) 1/2) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 2) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 1/2) |
| Outputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 x))) 1) |
(*.f64 -1/24 x) |
(pow.f64 (*.f64 -1/24 x) 1) |
(*.f64 -1/24 x) |
(pow.f64 (sqrt.f64 (*.f64 -1/24 x)) 2) |
(*.f64 -1/24 x) |
(pow.f64 (cbrt.f64 (*.f64 -1/24 x)) 3) |
(*.f64 -1/24 x) |
(pow.f64 (pow.f64 (*.f64 -1/24 x) 3) 1/3) |
(*.f64 -1/24 x) |
(sqrt.f64 (*.f64 1/576 (*.f64 x x))) |
(sqrt.f64 (*.f64 x (*.f64 x 1/576))) |
(fabs.f64 (*.f64 -1/24 x)) |
(log.f64 (pow.f64 (exp.f64 -1/24) x)) |
(*.f64 -1/24 x) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 x)))) |
(*.f64 -1/24 x) |
(cbrt.f64 (pow.f64 (*.f64 -1/24 x) 3)) |
(*.f64 -1/24 x) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 x))) |
(*.f64 -1/24 x) |
(exp.f64 (log.f64 (*.f64 -1/24 x))) |
(*.f64 -1/24 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/24 x)) 1)) |
(*.f64 -1/24 x) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 x))) |
(*.f64 -1/24 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) 1) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(pow.f64 (sqrt.f64 (*.f64 -1/24 (*.f64 x x))) 2) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(sqrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2)) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/24) x) x)) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (*.f64 x x))))) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))) 1)) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))) |
(*.f64 (*.f64 -1/24 x) x) |
(*.f64 -1/24 (*.f64 x x)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 -1/24 x) 1/2))) 1) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(-.f64 (/.f64 1/4 (-.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2) (-.f64 1/2 (*.f64 -1/24 (*.f64 x x))))) |
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 (*.f64 -1/24 x) x) 2)) (-.f64 1/2 (*.f64 (*.f64 -1/24 x) x))) |
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2)) (-.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(/.f64 (fma.f64 1/576 (pow.f64 x 4) -1/4) (fma.f64 -1/24 (*.f64 x x) -1/2)) |
(*.f64 (fma.f64 x (*.f64 -1/24 x) 1/2) 1) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 1 (fma.f64 x (*.f64 -1/24 x) 1/2)) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)) (sqrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2))) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)) 2)) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)) 2) (cbrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2))) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(*.f64 (-.f64 1/4 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2)) (/.f64 1 (-.f64 1/2 (*.f64 -1/24 (*.f64 x x))))) |
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 (*.f64 -1/24 x) x) 2)) (-.f64 1/2 (*.f64 (*.f64 -1/24 x) x))) |
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2)) (-.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(/.f64 (fma.f64 1/576 (pow.f64 x 4) -1/4) (fma.f64 -1/24 (*.f64 x x) -1/2)) |
(*.f64 (+.f64 1/8 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) (/.f64 1 (+.f64 1/4 (*.f64 (*.f64 -1/24 (*.f64 x x)) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 -1/24 x) x) 3) 1/8) 1) (+.f64 1/4 (*.f64 (*.f64 (*.f64 -1/24 x) x) (fma.f64 -1/24 (*.f64 x x) -1/2)))) |
(/.f64 (fma.f64 -1/13824 (pow.f64 (*.f64 x x) 3) 1/8) (fma.f64 -1/24 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) -1/2)) 1/4)) |
(/.f64 (fma.f64 -1/13824 (pow.f64 x 6) 1/8) (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x 1/576)) 1/48) 1/4)) |
(/.f64 1 (/.f64 (-.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (-.f64 1/4 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2)))) |
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 (*.f64 -1/24 x) x) 2)) (-.f64 1/2 (*.f64 (*.f64 -1/24 x) x))) |
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2)) (-.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(/.f64 (fma.f64 1/576 (pow.f64 x 4) -1/4) (fma.f64 -1/24 (*.f64 x x) -1/2)) |
(/.f64 1 (/.f64 (+.f64 1/4 (*.f64 (*.f64 -1/24 (*.f64 x x)) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2))) (+.f64 1/8 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 -1/24 x) x) 3) 1/8) 1) (+.f64 1/4 (*.f64 (*.f64 (*.f64 -1/24 x) x) (fma.f64 -1/24 (*.f64 x x) -1/2)))) |
(/.f64 (fma.f64 -1/13824 (pow.f64 (*.f64 x x) 3) 1/8) (fma.f64 -1/24 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) -1/2)) 1/4)) |
(/.f64 (fma.f64 -1/13824 (pow.f64 x 6) 1/8) (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x 1/576)) 1/48) 1/4)) |
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2)) (-.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 (*.f64 -1/24 x) x) 2)) (-.f64 1/2 (*.f64 (*.f64 -1/24 x) x))) |
(/.f64 (fma.f64 1/576 (pow.f64 x 4) -1/4) (fma.f64 -1/24 (*.f64 x x) -1/2)) |
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) (+.f64 1/4 (*.f64 (*.f64 -1/24 (*.f64 x x)) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 -1/24 x) x) 3) 1/8) 1) (+.f64 1/4 (*.f64 (*.f64 (*.f64 -1/24 x) x) (fma.f64 -1/24 (*.f64 x x) -1/2)))) |
(/.f64 (fma.f64 -1/13824 (pow.f64 (*.f64 x x) 3) 1/8) (fma.f64 -1/24 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) -1/2)) 1/4)) |
(/.f64 (fma.f64 -1/13824 (pow.f64 x 6) 1/8) (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x 1/576)) 1/48) 1/4)) |
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) (+.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2) (-.f64 1/4 (*.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 -1/24 x) x) 3) 1/8) 1) (+.f64 1/4 (*.f64 (*.f64 (*.f64 -1/24 x) x) (fma.f64 -1/24 (*.f64 x x) -1/2)))) |
(/.f64 (fma.f64 -1/13824 (pow.f64 (*.f64 x x) 3) 1/8) (fma.f64 -1/24 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) -1/2)) 1/4)) |
(/.f64 (fma.f64 -1/13824 (pow.f64 x 6) 1/8) (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x 1/576)) 1/48) 1/4)) |
(/.f64 (-.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2) 1/4) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)) |
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 (*.f64 -1/24 x) x) 2)) (-.f64 1/2 (*.f64 (*.f64 -1/24 x) x))) |
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2)) (-.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(/.f64 (fma.f64 1/576 (pow.f64 x 4) -1/4) (fma.f64 -1/24 (*.f64 x x) -1/2)) |
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2))) (neg.f64 (-.f64 1/2 (*.f64 -1/24 (*.f64 x x))))) |
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 (*.f64 -1/24 x) x) 2)) (-.f64 1/2 (*.f64 (*.f64 -1/24 x) x))) |
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 2)) (-.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) |
(/.f64 (fma.f64 1/576 (pow.f64 x 4) -1/4) (fma.f64 -1/24 (*.f64 x x) -1/2)) |
(/.f64 (neg.f64 (+.f64 1/8 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3))) (neg.f64 (+.f64 1/4 (*.f64 (*.f64 -1/24 (*.f64 x x)) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 -1/24 x) x) 3) 1/8) 1) (+.f64 1/4 (*.f64 (*.f64 (*.f64 -1/24 x) x) (fma.f64 -1/24 (*.f64 x x) -1/2)))) |
(/.f64 (fma.f64 -1/13824 (pow.f64 (*.f64 x x) 3) 1/8) (fma.f64 -1/24 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) -1/2)) 1/4)) |
(/.f64 (fma.f64 -1/13824 (pow.f64 x 6) 1/8) (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x 1/576)) 1/48) 1/4)) |
(pow.f64 (fma.f64 x (*.f64 -1/24 x) 1/2) 1) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)) 2) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)) 3) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(pow.f64 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1/2) 3) 1/3) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1/2) 2)) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(log.f64 (exp.f64 (fma.f64 x (*.f64 -1/24 x) 1/2))) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)))) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1/2) 3)) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 -1/24 x) 1/2))) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(exp.f64 (log.f64 (fma.f64 x (*.f64 -1/24 x) 1/2))) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 -1/24 x) 1/2)) 1)) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 -1/24 x) 1/2))) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(fma.f64 x (*.f64 -1/24 x) 1/2) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(fma.f64 1 (*.f64 -1/24 (*.f64 x x)) 1/2) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(fma.f64 (sqrt.f64 (*.f64 -1/24 (*.f64 x x))) (sqrt.f64 (*.f64 -1/24 (*.f64 x x))) 1/2) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 2) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 1/2) |
(fma.f64 (*.f64 -1/24 x) x 1/2) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (/.f64 -1 x) x) |
| ✓ | 2.0b | (+.f64 (cos.f64 x) -1) |
| ✓ | 16.6b | (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) |
Compiled 27 to 16 computations (40.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 -1 x) x) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 -1 x) x) |
| 1× | batch-egg-rewrite |
| 1332× | associate-/r* |
| 1092× | associate-/l* |
| 1078× | *-commutative |
| 622× | swap-sqr |
| 426× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 53 |
| 1 | 218 | 51 |
| 2 | 2958 | 51 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) |
(+.f64 (cos.f64 x) -1) |
(/.f64 (/.f64 -1 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 x x)) (*.f64 1 (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))) 1) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (neg.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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| 1× | egg-herbie |
| 1144× | associate-/l/ |
| 1128× | associate-/r* |
| 1006× | associate-*r* |
| 854× | associate-*l* |
| 752× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 666 | 11936 |
| 1 | 1967 | 11012 |
| 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)))) |
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(-.f64 (cos.f64 x) 1) |
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(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) x) (/.f64 -1 (cbrt.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) (/.f64 -1 (cbrt.f64 x))) |
(*.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) |
(*.f64 (neg.f64 (*.f64 (/.f64 -1 x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) (/.f64 -1 (cbrt.f64 x))) |
(pow.f64 (/.f64 -1 (*.f64 x x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 3) |
(pow.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3) 1/3) |
(pow.f64 (*.f64 x (neg.f64 x)) -1) |
(neg.f64 (/.f64 1 (*.f64 x x))) |
(sqrt.f64 (/.f64 1 (*.f64 x (pow.f64 x 3)))) |
(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))) |
(+.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 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 -1/2 (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))) |
(+.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))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8))))) |
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/720 (pow.f64 x 6) (*.f64 1/40320 (pow.f64 x 8))))) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -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)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 1 (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))) 1)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (*.f64 x x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 (*.f64 1 (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) (/.f64 1 (*.f64 x x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))) 1) (/.f64 1 (*.f64 x x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (neg.f64 x))))) 1) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 -1 (/.f64 (*.f64 (*.f64 x x) (+.f64 (cos.f64 x) 1)) (+.f64 -1 (pow.f64 (cos.f64 x) 2)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 -1 (/.f64 (*.f64 (*.f64 x x) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2))))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)) (+.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 (cos.f64 x) -1))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 -1 x) (/.f64 (+.f64 (*.f64 x (cos.f64 x)) x) (+.f64 -1 (pow.f64 (cos.f64 x) 2)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 -1 x) (/.f64 (*.f64 x (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2))))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)) (+.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (+.f64 (cos.f64 x) -1))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (neg.f64 x))) 1) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 1 (*.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 1 (/.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 x (neg.f64 x))) (+.f64 -1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 1 (/.f64 (*.f64 x (neg.f64 x)) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (*.f64 x (-.f64 -1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 (cos.f64 x) -1)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (/.f64 x (*.f64 (/.f64 -1 x) (sqrt.f64 (+.f64 (cos.f64 x) -1))))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 2))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 2) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (+.f64 (cos.f64 x) -1)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 2) (/.f64 x (*.f64 (/.f64 -1 x) (cbrt.f64 (+.f64 (cos.f64 x) -1))))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 x)) x) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 x (neg.f64 x)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) 1)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (/.f64 (+.f64 (*.f64 x (cos.f64 x)) x) (/.f64 -1 x))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (/.f64 (+.f64 (cos.f64 x) 1) (/.f64 -1 (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (*.f64 x x) (+.f64 (cos.f64 x) 1)) -1)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 x (neg.f64 x))) 1)) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (+.f64 (cos.f64 x) 1) (neg.f64 x)) (/.f64 1 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (*.f64 x (*.f64 (+.f64 (cos.f64 x) 1) (neg.f64 x)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 (+.f64 (cos.f64 x) 1) (/.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 x (neg.f64 x))) (+.f64 (cos.f64 x) -1))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (/.f64 (neg.f64 x) (+.f64 (cos.f64 x) -1))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (/.f64 (*.f64 (+.f64 (cos.f64 x) 1) (neg.f64 x)) (+.f64 -1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (/.f64 (*.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x)) (neg.f64 x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 1 (/.f64 (*.f64 x (neg.f64 x)) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (*.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 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 x (neg.f64 x)) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (*.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 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x))))) |
(/.f64 1 (/.f64 (*.f64 x (neg.f64 x)) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (*.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 (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x))) (/.f64 -1 x))) |
(*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2))))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)) (+.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x)) (/.f64 -1 (*.f64 x x)))) |
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(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (sqrt.f64 x)) (/.f64 -1 (*.f64 (sqrt.f64 x) (cbrt.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (sqrt.f64 x)) (/.f64 -1 (*.f64 (cbrt.f64 x) (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 -1 (*.f64 (sqrt.f64 x) (cbrt.f64 x))) (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (sqrt.f64 x)) (/.f64 -1 (*.f64 (cbrt.f64 x) (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (/.f64 -1 (cbrt.f64 x)) (neg.f64 x)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -1 (cbrt.f64 x)) (neg.f64 x))) |
(/.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (cbrt.f64 x))) |
(*.f64 (/.f64 -1 (cbrt.f64 x)) (*.f64 (/.f64 1 x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) |
(/.f64 (/.f64 -1 x) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) x) (/.f64 -1 (cbrt.f64 x))) |
(*.f64 (/.f64 -1 (cbrt.f64 x)) (*.f64 (/.f64 1 x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) |
(/.f64 (/.f64 -1 x) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) (/.f64 -1 (cbrt.f64 x))) |
(*.f64 (/.f64 -1 (cbrt.f64 x)) (*.f64 (/.f64 1 x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) |
(/.f64 (/.f64 -1 x) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) |
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (neg.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 4))) |
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 4) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (neg.f64 (*.f64 (/.f64 -1 x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) (/.f64 -1 (cbrt.f64 x))) |
(*.f64 (/.f64 -1 (cbrt.f64 x)) (*.f64 (/.f64 1 x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) |
(/.f64 (/.f64 -1 x) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(pow.f64 (/.f64 -1 (*.f64 x x)) 1) |
(/.f64 -1 (*.f64 x x)) |
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2) |
(pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 3) |
(/.f64 -1 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3)) |
(pow.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3) 1/3) |
(/.f64 -1 (*.f64 x x)) |
(pow.f64 (*.f64 x (neg.f64 x)) -1) |
(/.f64 1 (*.f64 x (neg.f64 x))) |
(/.f64 1 (neg.f64 (*.f64 x x))) |
(neg.f64 (/.f64 1 (*.f64 x x))) |
(/.f64 -1 (*.f64 x x)) |
(sqrt.f64 (/.f64 1 (*.f64 x (pow.f64 x 3)))) |
(sqrt.f64 (/.f64 1 (pow.f64 x 4))) |
(log.f64 (exp.f64 (/.f64 -1 (*.f64 x x)))) |
(/.f64 -1 (*.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (*.f64 x x))))) |
(/.f64 -1 (*.f64 x x)) |
(cbrt.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3)) |
(/.f64 -1 (*.f64 x x)) |
(expm1.f64 (log1p.f64 (/.f64 -1 (*.f64 x x)))) |
(/.f64 -1 (*.f64 x x)) |
(exp.f64 (log.f64 (/.f64 -1 (*.f64 x x)))) |
(/.f64 -1 (*.f64 x x)) |
(log1p.f64 (expm1.f64 (/.f64 -1 (*.f64 x x)))) |
(/.f64 -1 (*.f64 x x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| ✓ | 0.1b | (/.f64 (-.f64 1 (cos.f64 x)) x) |
| 2.0b | (-.f64 1 (cos.f64 x)) |
Compiled 28 to 16 computations (42.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | 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))) 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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))))))) |
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(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))))) |
| 1× | egg-herbie |
| 1450× | associate-/l* |
| 1088× | times-frac |
| 1012× | associate-/r* |
| 738× | associate-/l/ |
| 654× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 615 | 10371 |
| 1 | 1850 | 9903 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 1 x) (*.f64 1 (neg.f64 (/.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) |
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) 1)) |
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x))) |
(+.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(+.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)) |
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(/.f64 (pow.f64 (sqrt.f64 x) -1) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 (sqrt.f64 x) -1))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) -1))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (/.f64 (cbrt.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x)) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) 1) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) -1) x) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) 1) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) -1) x) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) 1) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) 1) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 -1 (+.f64 -1 (cos.f64 x))) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1) (neg.f64 x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) -1) x) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2)) |
(log.f64 (exp.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (/.f64 1 (pow.f64 x 3)))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5))))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5))))) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (*.f64 x (*.f64 x -1/24))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (/.f64 1 x) (*.f64 1 (neg.f64 (/.f64 (cos.f64 x) x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (neg.f64 (/.f64 (cos.f64 x) x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (neg.f64 (/.f64 (cos.f64 x) x)))) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (pow.f64 x -1/2) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1)) |
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) |
(*.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))) |
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(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) 1) (sqrt.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x))) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) 1) (cbrt.f64 x)) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (*.f64 -1 (+.f64 -1 (cos.f64 x))) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1) (neg.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) -1) x) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))))) |
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2)) |
(log.f64 (exp.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3)) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (/.f64 1 (pow.f64 x 3)))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 6))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (/.f64 1 (pow.f64 x 3)))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 1/720 (pow.f64 x 4)) |
| 0.1b | (*.f64 x (*.f64 x -1/24)) | |
| 0.4b | (*.f64 x -1/24) | |
| ✓ | 12.2b | (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4))) |
Compiled 46 to 34 computations (26.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4))) |
| 0.0ms | x | @ | inf | (*.f64 1/720 (pow.f64 x 4)) |
| 0.0ms | x | @ | 0 | (*.f64 1/720 (pow.f64 x 4)) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4))) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4))) |
| 1× | batch-egg-rewrite |
| 1008× | *-commutative |
| 794× | unswap-sqr |
| 632× | swap-sqr |
| 434× | distribute-lft-in |
| 428× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 1 | 241 | 40 |
| 2 | 2945 | 40 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 1/720 (pow.f64 x 4)) |
| Outputs |
|---|
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x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)) (neg.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/24) x (*.f64 1/720 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) 1/720 (*.f64 x (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)) (*.f64 1/720 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/720) (*.f64 x x)) (*.f64 (sqrt.f64 1/720) (*.f64 x x)) (*.f64 x (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 x (*.f64 x -1/24))) (*.f64 1/720 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/518400)) (cbrt.f64 (*.f64 1/720 (pow.f64 x 4))) (*.f64 x (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/24 (*.f64 1/720 (pow.f64 x 4))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/720 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/720) (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/720 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 1/518400))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 1/720))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/720 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/720 (pow.f64 x 4)))))))) |
| 1× | egg-herbie |
| 1448× | associate-/r* |
| 1252× | associate-*r/ |
| 1030× | associate-*l/ |
| 462× | associate-*r* |
| 436× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 296 | 7381 |
| 1 | 812 | 6965 |
| 2 | 3523 | 6949 |
| 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 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) (-.f64 1 (*.f64 1/720 (pow.f64 x 4)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4)))) (-.f64 1 (*.f64 x (*.f64 x -1/24)))) |
(-.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)) 1/576)) (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)) 1/518400))) |
(-.f64 (+.f64 (*.f64 x (*.f64 x -1/24)) (exp.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4))))) 1) |
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24))))) 1) |
(*.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))) 1) |
(*.f64 1 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))) |
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))) |
(*.f64 (*.f64 x x) (+.f64 -1/24 (*.f64 1/720 (*.f64 x x)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24)) |
(*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)) (/.f64 1 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))))) |
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720))) (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720))))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)) (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400))) (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3)))) (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (*.f64 1/720 (pow.f64 x 4)) (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) (-.f64 (*.f64 (pow.f64 x 8) 1/331776) (pow.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 (pow.f64 x 4) -1/720))) 2))) (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)) (*.f64 x (*.f64 (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/576) 3) (pow.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 (pow.f64 x 4) -1/720))) 3))) (+.f64 (*.f64 (pow.f64 x 8) 1/331776) (*.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 (pow.f64 x 4) -1/720))) (-.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 (pow.f64 x 4) -1/720))) (*.f64 (pow.f64 x 4) 1/576))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))) (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))) (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))))) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))) 3) 1/6)) |
(/.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))) (/.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))) |
(/.f64 1 (/.f64 1 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720))))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))) (/.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))) (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000))) (/.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000))))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400))) (/.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)))) (/.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)))) (/.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 6) 1/139314069504000000)) (*.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (pow.f64 x 4) 1/576)) (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 (*.f64 x x) 1/24))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/331776) (*.f64 1/268738560000 (pow.f64 x 16))) (*.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)) (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) 1/518400)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) 3) (pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000) 3)) (*.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))) (-.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 6) 1/139314069504000000)) (*.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/576) 3) (pow.f64 (*.f64 (pow.f64 x 8) 1/518400) 3)) (*.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)) (+.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/331776) (*.f64 1/268738560000 (pow.f64 x 16))) (*.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) 1/518400))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400))) (neg.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)))) (sqrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) 2) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)))) (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (pow.f64 x 4) 1/576)) 1) (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 (*.f64 x x) 1/24))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400))) 1) (neg.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000))) 1) (neg.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000))) (sqrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400))) (sqrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))) (sqrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) 2)) (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/331776) (*.f64 1/268738560000 (pow.f64 x 16))) (/.f64 1 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))) (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) 1/518400))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/576) 3) (pow.f64 (*.f64 (pow.f64 x 8) 1/518400) 3)) (/.f64 1 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))) (+.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/331776) (*.f64 1/268738560000 (pow.f64 x 16))) (*.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) 1/518400)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 6) 1/139314069504000000)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) 3) (pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))))) (-.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 6) 1/139314069504000000)) (*.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)) 1) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)) (sqrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))) (sqrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720))) (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720))))) (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)) (+.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 (sqrt.f64 1/720) (*.f64 x x)))) (-.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 (sqrt.f64 1/720) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) 1) (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))))) |
(pow.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) 3) |
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)) (neg.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720))))))) |
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))) 2)) |
(log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))))) |
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))) |
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))) |
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))) |
(fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 (*.f64 x -1/24) x (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) |
(fma.f64 (pow.f64 x 4) 1/720 (*.f64 x (*.f64 x -1/24))) |
(fma.f64 1 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24))) |
(fma.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 (*.f64 (sqrt.f64 1/720) (*.f64 x x)) (*.f64 (sqrt.f64 1/720) (*.f64 x x)) (*.f64 x (*.f64 x -1/24))) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 x (*.f64 x -1/24))) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/518400)) (cbrt.f64 (*.f64 1/720 (pow.f64 x 4))) (*.f64 x (*.f64 x -1/24))) |
(fma.f64 (*.f64 x x) -1/24 (*.f64 1/720 (pow.f64 x 4))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4)))) 1) |
(pow.f64 (*.f64 1/720 (pow.f64 x 4)) 1) |
(pow.f64 (*.f64 (sqrt.f64 1/720) (*.f64 x x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/720 (pow.f64 x 4))) 3) |
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/518400)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 1/720)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/720 (pow.f64 x 4))))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) |
(expm1.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4)))) |
(exp.f64 (log.f64 (*.f64 1/720 (pow.f64 x 4)))) |
(log1p.f64 (expm1.f64 (*.f64 1/720 (pow.f64 x 4)))) |
| Outputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24)) |
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24))) |
(+.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 x x) (fma.f64 1/720 (*.f64 x x) -1/24)) |
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24))) |
(+.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 x x) (fma.f64 1/720 (*.f64 x x) -1/24)) |
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24))) |
(*.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 x x) (fma.f64 1/720 (*.f64 x x) -1/24)) |
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24))) |
(+.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 x x) (fma.f64 1/720 (*.f64 x x) -1/24)) |
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24))) |
(+.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 x x) (fma.f64 1/720 (*.f64 x x) -1/24)) |
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24))) |
(*.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 x x) (fma.f64 1/720 (*.f64 x x) -1/24)) |
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24))) |
(+.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 x x) (fma.f64 1/720 (*.f64 x x) -1/24)) |
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24))) |
(+.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 x x) (fma.f64 1/720 (*.f64 x x) -1/24)) |
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) (-.f64 1 (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) 1) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 1/720 (pow.f64 x 4) (expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x))))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))) 1) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24)) |
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(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24)) |
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24))) |
(fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24)) |
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24))) |
(fma.f64 (*.f64 x -1/24) x (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24)) |
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24))) |
(fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24)) |
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24))) |
(fma.f64 (pow.f64 x 4) 1/720 (*.f64 x (*.f64 x -1/24))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24)) |
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24))) |
(fma.f64 1 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24)) |
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24))) |
(fma.f64 1 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24)) |
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24))) |
(fma.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 (*.f64 (sqrt.f64 1/720) (*.f64 x x)) (*.f64 (sqrt.f64 1/720) (*.f64 x x)) (*.f64 x (*.f64 x -1/24))) |
(+.f64 (pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/720)) 2) (*.f64 -1/24 (*.f64 x x))) |
(+.f64 (*.f64 -1/24 (*.f64 x x)) (pow.f64 (*.f64 x (*.f64 x (sqrt.f64 1/720))) 2)) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 x (*.f64 x -1/24))) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/518400)) (cbrt.f64 (*.f64 1/720 (pow.f64 x 4))) (*.f64 x (*.f64 x -1/24))) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/518400)) (cbrt.f64 (*.f64 1/720 (pow.f64 x 4))) (*.f64 -1/24 (*.f64 x x))) |
(fma.f64 (*.f64 x x) -1/24 (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24)) |
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4)))) 1) |
(*.f64 1/720 (pow.f64 x 4)) |
(pow.f64 (*.f64 1/720 (pow.f64 x 4)) 1) |
(*.f64 1/720 (pow.f64 x 4)) |
(pow.f64 (*.f64 (sqrt.f64 1/720) (*.f64 x x)) 2) |
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/720)) 2) |
(pow.f64 (*.f64 x (*.f64 x (sqrt.f64 1/720))) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/720 (pow.f64 x 4))) 3) |
(*.f64 1/720 (pow.f64 x 4)) |
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) |
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/518400)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 1/720)) |
(*.f64 1/720 (pow.f64 x 4)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/720 (pow.f64 x 4))))) |
(*.f64 1/720 (pow.f64 x 4)) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) |
(expm1.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4)))) |
(*.f64 1/720 (pow.f64 x 4)) |
(exp.f64 (log.f64 (*.f64 1/720 (pow.f64 x 4)))) |
(*.f64 1/720 (pow.f64 x 4)) |
(log1p.f64 (expm1.f64 (*.f64 1/720 (pow.f64 x 4)))) |
(*.f64 1/720 (pow.f64 x 4)) |
Compiled 35608 to 21799 computations (38.8% saved)
21 alts after pruning (16 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1702 | 12 | 1714 |
| Fresh | 3 | 4 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 5 | 6 |
| Total | 1707 | 21 | 1728 |
| Status | Error | Program |
|---|---|---|
| 30.0b | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) | |
| 30.0b | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) | |
| ▶ | 30.0b | (/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x)) |
| 35.4b | (/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) | |
| 30.8b | (/.f64 (-.f64 3 (+.f64 (cos.f64 x) 2)) (*.f64 x x)) | |
| ✓ | 30.5b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| ▶ | 30.6b | (/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x))) |
| 47.4b | (/.f64 (+.f64 -1 1) (*.f64 x x)) | |
| ✓ | 16.2b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| ▶ | 0.2b | (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x)))) |
| 30.3b | (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) | |
| ▶ | 32.4b | (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) |
| ✓ | 32.5b | (+.f64 1/2 (*.f64 x (*.f64 -1/24 x))) |
| ✓ | 30.0b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| ▶ | 31.8b | (*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
| 30.6b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) | |
| 30.1b | (*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) | |
| 30.1b | (*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x)) | |
| ✓ | 30.5b | (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) |
| 49.0b | (*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 (/.f64 -1 x) x)) | |
| 31.7b | 1/2 |
Compiled 411 to 282 computations (31.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 x (/.f64 x (sin.f64 x))) |
| ✓ | 0.1b | (/.f64 x (sin.f64 x)) |
| ✓ | 0.2b | (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x)))) |
Compiled 33 to 14 computations (57.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 x (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (*.f64 x (/.f64 x (sin.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 x (sin.f64 x)) |
| 0.0ms | x | @ | inf | (*.f64 x (/.f64 x (sin.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 x (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 916× | unswap-sqr |
| 866× | swap-sqr |
| 780× | associate-/r/ |
| 614× | associate-/l/ |
| 420× | sqr-pow |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 61 |
| 1 | 234 | 61 |
| 2 | 3168 | 61 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 x) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 (sin.f64 x) x)))))))) |
| 1× | egg-herbie |
| 806× | distribute-rgt-in |
| 798× | distribute-lft-in |
| 650× | *-commutative |
| 632× | distribute-lft-neg-in |
| 572× | distribute-rgt-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 435 | 6146 |
| 1 | 1217 | 5988 |
| 2 | 4724 | 5988 |
| 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))) |
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6))))) |
x |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 7/360 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 7/360 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 31/15120 (pow.f64 x 7)) x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) 1) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1) |
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (sin.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 2)) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))))) |
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (sin.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (/.f64 (sin.f64 x) x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 x (sin.f64 x))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 x (sqrt.f64 (sin.f64 x)))) (*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 2)) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) 1)) (sin.f64 x)) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 x))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x)))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 x (/.f64 (sin.f64 x) x))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x 1)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) -1) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (sin.f64 x))) x) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) 1) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) 1) (/.f64 (sin.f64 x) 1)) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) -1) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) x)) 1) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) x)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2))) (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))) (*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2)) (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2)) (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (*.f64 x x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (*.f64 x x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3) 1/6)) |
(*.f64 (pow.f64 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2))) -1/2)) |
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1) |
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2))) -1) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 x) (/.f64 (sin.f64 x) x)))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 x) (/.f64 (sin.f64 x) x))) 1)) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (sin.f64 x)))) |
(neg.f64 (*.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 x) (/.f64 (sin.f64 x) x))))) |
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (neg.f64 (sin.f64 x))))) |
(neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (/.f64 (sin.f64 x) x)))) |
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 2)) |
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) 1) |
(*.f64 x (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 x (sin.f64 x)) 1) |
(*.f64 1 (/.f64 x (sin.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) x) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (cbrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 x (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 x (sin.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) (*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3/2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/6)) |
(*.f64 (pow.f64 (/.f64 (sin.f64 x) x) -1/2) (pow.f64 (/.f64 (sin.f64 x) x) -1/2)) |
(pow.f64 (/.f64 x (sin.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 x) x) -1) |
(neg.f64 (/.f64 x (neg.f64 (sin.f64 x)))) |
(neg.f64 (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) 1)) |
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 x (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 x (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) 1) |
(/.f64 x (/.f64 (sin.f64 x) x)) |
(/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 1) |
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(/.f64 (/.f64 (*.f64 x x) 1) (sin.f64 x)) |
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 1) |
(pow.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 3) |
(pow.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 3) 1/3) |
(neg.f64 (/.f64 (neg.f64 x) (/.f64 (sin.f64 x) x))) |
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (sin.f64 x) x))))) |
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (sin.f64 x)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) |
(exp.f64 (log.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (sin.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 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) (cos.f64 (*.f64 1/2 x))) |
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(fma.f64 1/6 (*.f64 x x) 1) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 (pow.f64 x 4) 7/360 (fma.f64 1/6 (*.f64 x x) 1)) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6))))) |
(fma.f64 7/360 (pow.f64 x 4) (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 (pow.f64 x 6) 31/15120))) |
(fma.f64 (pow.f64 x 4) 7/360 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) 31/15120 1))) |
x |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x) |
(fma.f64 1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 7/360 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x)) |
(fma.f64 7/360 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) x)) |
(+.f64 (*.f64 7/360 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 31/15120 (pow.f64 x 7)) x))) |
(fma.f64 7/360 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 31/15120 (pow.f64 x 7) x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
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(/.f64 (pow.f64 x 2) (sin.f64 x)) |
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(/.f64 (pow.f64 x 2) (sin.f64 x)) |
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(/.f64 (pow.f64 x 2) (sin.f64 x)) |
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(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (pow.f64 x 2) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) 1) |
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(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 x (sin.f64 x))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x)) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (/.f64 (sin.f64 x) x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 x (sqrt.f64 (sin.f64 x)))) (*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 2)) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))) 2))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (sin.f64 x)))) 2))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
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(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
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(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) x)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x))) |
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(/.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
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(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
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(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (*.f64 x x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (*.f64 x x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) |
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (sqrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 3/2)) |
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(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) 1) |
(/.f64 x (sin.f64 x)) |
(*.f64 x (/.f64 1 (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 x (sin.f64 x)) 1) |
(/.f64 x (sin.f64 x)) |
(*.f64 1 (/.f64 x (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 1 (sin.f64 x)) x) |
(/.f64 x (sin.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (sqrt.f64 x)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (cbrt.f64 x)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 x (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 x (sin.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) (*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 x))) |
(/.f64 x (sin.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3/2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3/2)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/6)) |
(/.f64 x (sin.f64 x)) |
(*.f64 (pow.f64 (/.f64 (sin.f64 x) x) -1/2) (pow.f64 (/.f64 (sin.f64 x) x) -1/2)) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (/.f64 x (sin.f64 x)) 1) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (/.f64 (sin.f64 x) x) -1) |
(/.f64 x (sin.f64 x)) |
(neg.f64 (/.f64 x (neg.f64 (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(neg.f64 (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) 1)) |
(/.f64 x (sin.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2)) |
(fabs.f64 (/.f64 x (sin.f64 x))) |
(log.f64 (exp.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 x (sin.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3)) |
(/.f64 x (sin.f64 x)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) |
(/.f64 x (sin.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(exp.f64 (log.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) 1)) |
(/.f64 x (sin.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) 1) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 x (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 1) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 x x) 1) (sin.f64 x)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 1) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(pow.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) 2) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 3) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(pow.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 3) 1/3) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(neg.f64 (/.f64 (neg.f64 x) (/.f64 (sin.f64 x) x))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (sin.f64 x)) 2)) |
(fabs.f64 (/.f64 (*.f64 x x) (sin.f64 x))) |
(fabs.f64 (*.f64 x (/.f64 x (sin.f64 x)))) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (sin.f64 x) x))))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 3)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (sin.f64 x)) 3))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) (pow.f64 x 3))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(exp.f64 (log.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 1)) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 x x) (sin.f64 x)) |
(*.f64 x (/.f64 x (sin.f64 x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
Compiled 17 to 12 computations (29.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
| 1× | batch-egg-rewrite |
| 1504× | add-sqr-sqrt |
| 1482× | *-un-lft-identity |
| 1386× | add-cube-cbrt |
| 1368× | add-cbrt-cube |
| 1352× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 162 | 13 |
| 2 | 1904 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 x (sqrt.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (/.f64 x (cbrt.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/2) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x 1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 x)))))))) |
| 1× | egg-herbie |
| 1438× | associate-/r* |
| 1080× | associate-*r* |
| 890× | associate-*l* |
| 882× | distribute-lft-in |
| 592× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 74 |
| 1 | 178 | 74 |
| 2 | 369 | 74 |
| 3 | 1029 | 74 |
| 4 | 5688 | 74 |
| 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 (+.f64 1 (*.f64 x (/.f64 1/2 x))) 1) |
(/.f64 1 (/.f64 x (*.f64 x 1/2))) |
(/.f64 x (/.f64 x 1/2)) |
(/.f64 1/2 (/.f64 x x)) |
(/.f64 (*.f64 x 1/2) x) |
(/.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 x (sqrt.f64 (*.f64 x 1/2)))) |
(/.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (/.f64 x (cbrt.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (*.f64 x 1/2) -1) (neg.f64 x)) |
(/.f64 (*.f64 -1 (*.f64 x 1/2)) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 x 1/2) 1) x) |
(/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 x)) |
(pow.f64 (*.f64 x (/.f64 1/2 x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 x))) 3) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 1/2 x)) x)) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 x)))) |
(exp.f64 (log.f64 (*.f64 x (/.f64 1/2 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 1/2 x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 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 (+.f64 1 (*.f64 x (/.f64 1/2 x))) 1) |
1/2 |
(/.f64 1 (/.f64 x (*.f64 x 1/2))) |
1/2 |
(/.f64 x (/.f64 x 1/2)) |
1/2 |
(/.f64 1/2 (/.f64 x x)) |
1/2 |
(/.f64 (*.f64 x 1/2) x) |
1/2 |
(/.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 x (sqrt.f64 (*.f64 x 1/2)))) |
1/2 |
(/.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (/.f64 x (cbrt.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) x) (cbrt.f64 (*.f64 x 1/2))) |
(*.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) x)) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (/.f64 (cbrt.f64 (*.f64 x 1/2)) x)) |
(/.f64 (*.f64 (*.f64 x 1/2) -1) (neg.f64 x)) |
1/2 |
(/.f64 (*.f64 -1 (*.f64 x 1/2)) (neg.f64 x)) |
1/2 |
(/.f64 (/.f64 (*.f64 x 1/2) 1) x) |
1/2 |
(/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x)) |
1/2 |
(/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
1/2 |
(/.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 x)) |
1/2 |
(pow.f64 (*.f64 x (/.f64 1/2 x)) 1) |
1/2 |
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 x))) 2) |
1/2 |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 x))) 3) |
1/2 |
(pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 3) 1/3) |
1/2 |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 2)) |
1/2 |
(log.f64 (pow.f64 (exp.f64 (/.f64 1/2 x)) x)) |
1/2 |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 3)) |
1/2 |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 x)))) |
1/2 |
(exp.f64 (log.f64 (*.f64 x (/.f64 1/2 x)))) |
1/2 |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 1/2 x))) 1)) |
1/2 |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 x)))) |
1/2 |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24) |
| ✓ | 0.1b | (*.f64 1/720 (*.f64 x x)) |
| ✓ | 0.2b | (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24)) |
Compiled 44 to 23 computations (47.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24)) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24)) |
| 0.0ms | x | @ | inf | (*.f64 1/720 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 1/720 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24)) |
| 1× | batch-egg-rewrite |
| 950× | *-commutative |
| 762× | unswap-sqr |
| 632× | associate-*r/ |
| 586× | swap-sqr |
| 440× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 55 |
| 1 | 204 | 55 |
| 2 | 2649 | 55 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24)) |
(*.f64 1/720 (*.f64 x x)) |
(+.f64 (*.f64 1/720 (*.f64 x x)) -1/24) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) -1/24) (*.f64 1/720 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) 1/720 -1/24))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) 1/720 -1/24))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 1 (fma.f64 (*.f64 x x) 1/720 -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576) (/.f64 (fma.f64 (*.f64 x x) 1/720 1/24) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))) (/.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 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(*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 1/576 (*.f64 -1/518400 (pow.f64 x 4)))) (+.f64 -1/24 (*.f64 (*.f64 x x) -1/720)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (neg.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576))) (neg.f64 (fma.f64 (*.f64 x x) 1/720 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (neg.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))))) (neg.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576))) (fma.f64 (*.f64 x x) 1/720 1/24))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 x x) (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))))) (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))))) 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(+.f64 1/576 (*.f64 (*.f64 x x) 1/17280)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 1/518400 (/.f64 (fma.f64 (*.f64 x x) 1/720 1/24) (pow.f64 x 4))) (/.f64 1/518400 (/.f64 (fma.f64 (*.f64 x x) 1/720 1/24) (pow.f64 x 4)))) (*.f64 (/.f64 1/576 (fma.f64 (*.f64 x x) 1/720 1/24)) (/.f64 1/576 (fma.f64 (*.f64 x x) 1/720 1/24)))) (+.f64 (/.f64 1/518400 (/.f64 (fma.f64 (*.f64 x x) 1/720 1/24) (pow.f64 x 4))) (/.f64 1/576 (fma.f64 (*.f64 x x) 1/720 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 x x) 1/720 -1/24) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/720 -1/24) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576) (neg.f64 (fma.f64 (*.f64 x x) 1/720 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))) (neg.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/720 -1/24) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/720 -1/24) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/720 -1/24)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/720 (*.f64 x x) -1/24)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 1/720)) -1/24)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/720)) (*.f64 x (sqrt.f64 1/720)) -1/24)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/518400 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x 1/720))) -1/24)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/720) x -1/24))))) |
| 1× | egg-herbie |
| 1584× | associate-*r/ |
| 1192× | associate-*l/ |
| 1092× | associate-/r/ |
| 652× | associate-*r* |
| 620× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 414 | 8480 |
| 1 | 1137 | 7724 |
| 2 | 4882 | 7494 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 1/720 (pow.f64 x 4)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 1/720 (pow.f64 x 4)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 1/720 (pow.f64 x 2)) |
(*.f64 1/720 (pow.f64 x 2)) |
(*.f64 1/720 (pow.f64 x 2)) |
(*.f64 1/720 (pow.f64 x 2)) |
(*.f64 1/720 (pow.f64 x 2)) |
(*.f64 1/720 (pow.f64 x 2)) |
(*.f64 1/720 (pow.f64 x 2)) |
(*.f64 1/720 (pow.f64 x 2)) |
(*.f64 1/720 (pow.f64 x 2)) |
(*.f64 1/720 (pow.f64 x 2)) |
(*.f64 1/720 (pow.f64 x 2)) |
(*.f64 1/720 (pow.f64 x 2)) |
-1/24 |
(-.f64 (*.f64 1/720 (pow.f64 x 2)) 1/24) |
(-.f64 (*.f64 1/720 (pow.f64 x 2)) 1/24) |
(-.f64 (*.f64 1/720 (pow.f64 x 2)) 1/24) |
(*.f64 1/720 (pow.f64 x 2)) |
(-.f64 (*.f64 1/720 (pow.f64 x 2)) 1/24) |
(-.f64 (*.f64 1/720 (pow.f64 x 2)) 1/24) |
(-.f64 (*.f64 1/720 (pow.f64 x 2)) 1/24) |
(*.f64 1/720 (pow.f64 x 2)) |
(-.f64 (*.f64 1/720 (pow.f64 x 2)) 1/24) |
(-.f64 (*.f64 1/720 (pow.f64 x 2)) 1/24) |
(-.f64 (*.f64 1/720 (pow.f64 x 2)) 1/24) |
(+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1/24)) |
(+.f64 (*.f64 (*.f64 x x) -1/24) (*.f64 1/720 (pow.f64 x 4))) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) 1/720 -1/24))))) -1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) 1/720 -1/24))))) 1) |
(/.f64 (*.f64 x x) (/.f64 1 (fma.f64 (*.f64 x x) 1/720 -1/24))) |
(/.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576) (/.f64 (fma.f64 (*.f64 x x) 1/720 1/24) (*.f64 x x))) |
(/.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))) (/.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6)))) (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280)))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576)) (fma.f64 (*.f64 x x) 1/720 1/24)) |
(/.f64 (-.f64 (*.f64 1/518400 (pow.f64 x 8)) (*.f64 1/576 (pow.f64 x 4))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 1/720 1/24))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 4)) 3) (pow.f64 (*.f64 (*.f64 x x) -1/24) 3)) (-.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 8)) (*.f64 1/576 (pow.f64 x 4))) (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1/24)))) |
(/.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576))) (fma.f64 (*.f64 x x) 1/720 1/24)) |
(/.f64 (*.f64 x (*.f64 x (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))))) (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280)))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 1/576 (*.f64 -1/518400 (pow.f64 x 4)))) (+.f64 -1/24 (*.f64 (*.f64 x x) -1/720))) |
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576))) (neg.f64 (fma.f64 (*.f64 x x) 1/720 1/24))) |
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))))) (neg.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))) |
(/.f64 (*.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576))) (fma.f64 (*.f64 x x) 1/720 1/24)) |
(/.f64 (*.f64 1 (*.f64 (*.f64 x x) (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))))) (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 1/518400 (pow.f64 x 8)) (*.f64 1/576 (pow.f64 x 4)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 1/720 1/24))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 4)) 3) (pow.f64 (*.f64 (*.f64 x x) -1/24) 3))) (-.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 8)) (*.f64 1/576 (pow.f64 x 4))) (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1/24)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) (sqrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576))) (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 1/24))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) (sqrt.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))))) (sqrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) 2)) (cbrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576))) (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 1/24))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) 2)) (cbrt.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))))) (cbrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))) |
(/.f64 (*.f64 (+.f64 1/576 (*.f64 -1/518400 (pow.f64 x 4))) (*.f64 x x)) (+.f64 -1/24 (*.f64 (*.f64 x x) -1/720))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576)) (*.f64 x x)) (neg.f64 (fma.f64 (*.f64 x x) 1/720 1/24))) |
(/.f64 (*.f64 (neg.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6)))) (*.f64 x x)) (neg.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576)) 1) (fma.f64 (*.f64 x x) 1/720 1/24)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6)))) 1) (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280)))) |
(/.f64 (*.f64 (-.f64 (*.f64 1/518400 (pow.f64 x 8)) (*.f64 1/576 (pow.f64 x 4))) 1) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 1/720 1/24))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 4)) 3) (pow.f64 (*.f64 (*.f64 x x) -1/24) 3)) 1) (-.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 8)) (*.f64 1/576 (pow.f64 x 4))) (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1/24)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576)) (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)))) (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 1/24))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6)))) (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)))) (sqrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))) |
(/.f64 (*.f64 (*.f64 x (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576)) x) (fma.f64 (*.f64 x x) 1/720 1/24)) |
(/.f64 (*.f64 (*.f64 x (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6)))) x) (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280)))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576)) 1) (fma.f64 (*.f64 x x) 1/720 1/24)) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576)) (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 1/24))) (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 1/24))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576)) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 1/24)) (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 1/24)))) (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 1/24))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6)))) 1) (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280)))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))) (sqrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6)))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280)))) (cbrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280)))))) (cbrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))) |
(/.f64 (-.f64 (*.f64 1/576 (pow.f64 x 4)) (*.f64 1/518400 (pow.f64 x 8))) (-.f64 (*.f64 (*.f64 x x) -1/24) (*.f64 1/720 (pow.f64 x 4)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) 1/720 -1/24))))) (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) 1/720 -1/24)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) 1/720 -1/24))))) 1)) |
(pow.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) 1/720 -1/24))) 1) |
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) 1/720 -1/24)))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) 1/720 -1/24))) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) 4)) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 (*.f64 x x) 1/720 -1/24)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) 1/720 -1/24)))))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) 1/720 -1/24))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/720 -1/24) 3) (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) 1/720 -1/24))))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) 1/720 -1/24))))) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) 1/720 -1/24))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x 1/720)) (*.f64 (*.f64 x x) -1/24)) |
(fma.f64 (*.f64 x (*.f64 x 1/720)) (*.f64 x x) (*.f64 (*.f64 x x) -1/24)) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/720)))) -1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/720)))) 1) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/720)))) (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/720))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/720)))) 1)) |
(pow.f64 (*.f64 x (*.f64 x 1/720)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 1/720)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/720))) 3) |
(pow.f64 (*.f64 1/373248000 (pow.f64 x 6)) 1/3) |
(sqrt.f64 (*.f64 1/518400 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 1/720) (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/720))))) |
(cbrt.f64 (*.f64 1/373248000 (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/720)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x 1/720)))) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/720)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/720)))) 25/24) |
(-.f64 (/.f64 1/518400 (/.f64 (fma.f64 (*.f64 x x) 1/720 1/24) (pow.f64 x 4))) (/.f64 1/576 (fma.f64 (*.f64 x x) 1/720 1/24))) |
(-.f64 (+.f64 -1/24 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/720))))) 1) |
(*.f64 (fma.f64 (*.f64 x x) 1/720 -1/24) 1) |
(*.f64 1 (fma.f64 (*.f64 x x) 1/720 -1/24)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) |
(*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) |
(*.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576) (/.f64 1 (fma.f64 (*.f64 x x) 1/720 1/24))) |
(*.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))) (/.f64 1 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))) |
(*.f64 (+.f64 1/576 (*.f64 -1/518400 (pow.f64 x 4))) (/.f64 1 (+.f64 -1/24 (*.f64 (*.f64 x x) -1/720)))) |
(*.f64 (/.f64 1 (fma.f64 (*.f64 x x) 1/720 1/24)) (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576)) |
(*.f64 (/.f64 1 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280)))) (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6)))) |
(*.f64 (neg.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576)) (/.f64 1 (neg.f64 (fma.f64 (*.f64 x x) 1/720 1/24)))) |
(*.f64 (neg.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6)))) (/.f64 1 (neg.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280)))))) |
(*.f64 (/.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576) (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576)) (fma.f64 (*.f64 x x) 1/720 -1/24)) |
(*.f64 (/.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576) (+.f64 (*.f64 1/373248000 (pow.f64 x 6)) 1/13824)) (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) -1/17280)))) |
(*.f64 (/.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))) (-.f64 (*.f64 (pow.f64 x 8) 1/268738560000) (pow.f64 (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280)) 2))) (+.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576) (*.f64 (*.f64 x x) -1/17280))) |
(*.f64 (/.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))) (+.f64 (pow.f64 (*.f64 1/518400 (pow.f64 x 4)) 3) (pow.f64 (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280)) 3))) (+.f64 (*.f64 (pow.f64 x 8) 1/268738560000) (*.f64 (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280)) (-.f64 (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280)) (*.f64 1/518400 (pow.f64 x 4)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)))) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/720 -1/24) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/720 -1/24) 3) 1/6)) |
(/.f64 1 (/.f64 1 (fma.f64 (*.f64 x x) 1/720 -1/24))) |
(/.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576) (fma.f64 (*.f64 x x) 1/720 1/24)) |
(/.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))) (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280)))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576)) (/.f64 (fma.f64 (*.f64 x x) 1/720 1/24) (sqrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576)))) |
(/.f64 (sqrt.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6)))) (/.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))) (sqrt.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576)) (cbrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576))) (/.f64 (fma.f64 (*.f64 x x) 1/720 1/24) (cbrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6)))) (cbrt.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))))) (/.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))) (cbrt.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6)))))) |
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 6) 1/139314069504000000) -1/191102976) (*.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))) (+.f64 (*.f64 1/373248000 (pow.f64 x 6)) 1/13824))) |
(/.f64 (+.f64 1/576 (*.f64 -1/518400 (pow.f64 x 4))) (+.f64 -1/24 (*.f64 (*.f64 x x) -1/720))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/268738560000) -1/331776) (*.f64 (fma.f64 (*.f64 x x) 1/720 1/24) (+.f64 (*.f64 1/518400 (pow.f64 x 4)) 1/576))) |
(/.f64 (+.f64 -1/2641807540224 (pow.f64 (*.f64 1/373248000 (pow.f64 x 6)) 3)) (*.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))) (-.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 6) 1/139314069504000000) 1/191102976) (*.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/518400 (pow.f64 x 4)) 3) -1/191102976) (*.f64 (fma.f64 (*.f64 x x) 1/720 1/24) (+.f64 (*.f64 (pow.f64 x 8) 1/268738560000) (+.f64 1/331776 (*.f64 (pow.f64 x 4) 1/298598400))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576)) (neg.f64 (fma.f64 (*.f64 x x) 1/720 1/24))) |
(/.f64 (neg.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6)))) (neg.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))) |
(/.f64 (*.f64 1 (+.f64 1/576 (*.f64 -1/518400 (pow.f64 x 4)))) (+.f64 -1/24 (*.f64 (*.f64 x x) -1/720))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) (sqrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576))) (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 1/24))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) (sqrt.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))))) (sqrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) 2) (cbrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576))) (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 1/24))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) 2) (cbrt.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))))) (cbrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))) |
(/.f64 (*.f64 (+.f64 1/576 (*.f64 -1/518400 (pow.f64 x 4))) 1) (+.f64 -1/24 (*.f64 (*.f64 x x) -1/720))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576)) 1) (neg.f64 (fma.f64 (*.f64 x x) 1/720 1/24))) |
(/.f64 (*.f64 (neg.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6)))) 1) (neg.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576)) (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 1/24))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6)))) (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) (sqrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) 2)) (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 1/24))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) 2)) (cbrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/268738560000) -1/331776) (/.f64 1 (fma.f64 (*.f64 x x) 1/720 1/24))) (+.f64 (*.f64 1/518400 (pow.f64 x 4)) 1/576)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/518400 (pow.f64 x 4)) 3) -1/191102976) (/.f64 1 (fma.f64 (*.f64 x x) 1/720 1/24))) (+.f64 (*.f64 (pow.f64 x 8) 1/268738560000) (+.f64 1/331776 (*.f64 (pow.f64 x 4) 1/298598400)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 6) 1/139314069504000000) -1/191102976) (/.f64 1 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))) (+.f64 (*.f64 1/373248000 (pow.f64 x 6)) 1/13824)) |
(/.f64 (*.f64 (+.f64 -1/2641807540224 (pow.f64 (*.f64 1/373248000 (pow.f64 x 6)) 3)) (/.f64 1 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))) (-.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 6) 1/139314069504000000) 1/191102976) (*.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))))) |
(/.f64 (/.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576) 1) (fma.f64 (*.f64 x x) 1/720 1/24)) |
(/.f64 (/.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576) (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 1/24))) (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 1/24))) |
(/.f64 (/.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 1/24)) (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 1/24)))) (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 1/24))) |
(/.f64 (/.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))) 1) (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280)))) |
(/.f64 (/.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))) (sqrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))) (sqrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))) |
(/.f64 (/.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280)))) (cbrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280)))))) (cbrt.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) 1)) |
(/.f64 (-.f64 (*.f64 (/.f64 1/518400 (/.f64 (fma.f64 (*.f64 x x) 1/720 1/24) (pow.f64 x 4))) (/.f64 1/518400 (/.f64 (fma.f64 (*.f64 x x) 1/720 1/24) (pow.f64 x 4)))) (*.f64 (/.f64 1/576 (fma.f64 (*.f64 x x) 1/720 1/24)) (/.f64 1/576 (fma.f64 (*.f64 x x) 1/720 1/24)))) (+.f64 (/.f64 1/518400 (/.f64 (fma.f64 (*.f64 x x) 1/720 1/24) (pow.f64 x 4))) (/.f64 1/576 (fma.f64 (*.f64 x x) 1/720 1/24)))) |
(pow.f64 (fma.f64 (*.f64 x x) 1/720 -1/24) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) 3) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/720 -1/24) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576) (neg.f64 (fma.f64 (*.f64 x x) 1/720 1/24)))) |
(neg.f64 (/.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))) (neg.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280)))))) |
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/720 -1/24) 2)) |
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)))) |
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/720 -1/24) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) |
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) |
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) |
(fma.f64 (*.f64 x x) 1/720 -1/24) |
(fma.f64 1/720 (*.f64 x x) -1/24) |
(fma.f64 1 (*.f64 x (*.f64 x 1/720)) -1/24) |
(fma.f64 (*.f64 x (sqrt.f64 1/720)) (*.f64 x (sqrt.f64 1/720)) -1/24) |
(fma.f64 (cbrt.f64 (*.f64 1/518400 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x 1/720))) -1/24) |
(fma.f64 (*.f64 x 1/720) x -1/24) |
| Outputs |
|---|
(*.f64 -1/24 (pow.f64 x 2)) |
(*.f64 -1/24 (*.f64 x x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/720) -1/24)) |
(+.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 x x) (fma.f64 x (*.f64 x 1/720) -1/24)) |
(+.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 x x) (fma.f64 x (*.f64 x 1/720) -1/24)) |
(*.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 x x) (fma.f64 x (*.f64 x 1/720) -1/24)) |
(+.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 x x) (fma.f64 x (*.f64 x 1/720) -1/24)) |
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(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) 1)) |
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x 1/720) x -1/24)))) (fma.f64 (*.f64 x 1/720) x -1/24)) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x 1/720) x -1/24))))) |
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 x (*.f64 x 1/720) -1/24)))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/720) -1/24))))) |
(/.f64 (-.f64 (*.f64 (/.f64 1/518400 (/.f64 (fma.f64 (*.f64 x x) 1/720 1/24) (pow.f64 x 4))) (/.f64 1/518400 (/.f64 (fma.f64 (*.f64 x x) 1/720 1/24) (pow.f64 x 4)))) (*.f64 (/.f64 1/576 (fma.f64 (*.f64 x x) 1/720 1/24)) (/.f64 1/576 (fma.f64 (*.f64 x x) 1/720 1/24)))) (+.f64 (/.f64 1/518400 (/.f64 (fma.f64 (*.f64 x x) 1/720 1/24) (pow.f64 x 4))) (/.f64 1/576 (fma.f64 (*.f64 x x) 1/720 1/24)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 1/518400 (fma.f64 (*.f64 x x) 1/720 1/24)) (pow.f64 x 4)) (*.f64 (/.f64 1/518400 (fma.f64 (*.f64 x x) 1/720 1/24)) (pow.f64 x 4))) (*.f64 (/.f64 1/576 (fma.f64 (*.f64 x x) 1/720 1/24)) (/.f64 1/576 (fma.f64 (*.f64 x x) 1/720 1/24)))) (+.f64 (*.f64 (/.f64 1/518400 (fma.f64 (*.f64 x x) 1/720 1/24)) (pow.f64 x 4)) (/.f64 1/576 (fma.f64 (*.f64 x x) 1/720 1/24)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 1/518400 (fma.f64 x (*.f64 x 1/720) 1/24)) (/.f64 1/518400 (fma.f64 x (*.f64 x 1/720) 1/24))) (pow.f64 x 8)) (/.f64 (/.f64 1/331776 (fma.f64 x (*.f64 x 1/720) 1/24)) (fma.f64 x (*.f64 x 1/720) 1/24))) (fma.f64 (/.f64 1/518400 (fma.f64 x (*.f64 x 1/720) 1/24)) (pow.f64 x 4) (/.f64 1/576 (fma.f64 x (*.f64 x 1/720) 1/24)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 1/518400 (fma.f64 x (*.f64 x 1/720) 1/24)) (pow.f64 x 4) (/.f64 1/576 (fma.f64 x (*.f64 x 1/720) 1/24))) (fma.f64 (/.f64 1/518400 (fma.f64 x (*.f64 x 1/720) 1/24)) (pow.f64 x 4) (/.f64 1/576 (fma.f64 x (*.f64 x 1/720) 1/24)))) (/.f64 (fma.f64 (pow.f64 x 4) 1/518400 -1/576) (fma.f64 x (*.f64 x 1/720) 1/24))) |
(pow.f64 (fma.f64 (*.f64 x x) 1/720 -1/24) 1) |
(fma.f64 (*.f64 x 1/720) x -1/24) |
(fma.f64 x (*.f64 x 1/720) -1/24) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) 2) |
(fma.f64 (*.f64 x 1/720) x -1/24) |
(fma.f64 x (*.f64 x 1/720) -1/24) |
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)) 3) |
(fma.f64 (*.f64 x 1/720) x -1/24) |
(fma.f64 x (*.f64 x 1/720) -1/24) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/720 -1/24) 3) 1/3) |
(fma.f64 (*.f64 x 1/720) x -1/24) |
(fma.f64 x (*.f64 x 1/720) -1/24) |
(neg.f64 (/.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) -1/576) (neg.f64 (fma.f64 (*.f64 x x) 1/720 1/24)))) |
(-.f64 (*.f64 (/.f64 1/518400 (fma.f64 (*.f64 x x) 1/720 1/24)) (pow.f64 x 4)) (/.f64 1/576 (fma.f64 (*.f64 x x) 1/720 1/24))) |
(fma.f64 (/.f64 1/518400 (fma.f64 x (*.f64 x 1/720) 1/24)) (pow.f64 x 4) (/.f64 -1/576 (fma.f64 x (*.f64 x 1/720) 1/24))) |
(/.f64 (fma.f64 (pow.f64 x 4) 1/518400 -1/576) (fma.f64 x (*.f64 x 1/720) 1/24)) |
(neg.f64 (/.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))) (neg.f64 (+.f64 (*.f64 1/518400 (pow.f64 x 4)) (+.f64 1/576 (*.f64 (*.f64 x x) 1/17280)))))) |
(*.f64 (+.f64 -1/13824 (*.f64 1/373248000 (pow.f64 x 6))) (/.f64 1 (+.f64 (fma.f64 1/518400 (pow.f64 x 4) 1/576) (*.f64 x (*.f64 x 1/17280))))) |
(/.f64 (fma.f64 1/373248000 (pow.f64 x 6) -1/13824) (fma.f64 (pow.f64 x 4) 1/518400 (fma.f64 x (*.f64 x 1/17280) 1/576))) |
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/720 -1/24) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x 1/720) x -1/24) 2)) |
(fabs.f64 (fma.f64 x (*.f64 x 1/720) -1/24)) |
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) |
(fma.f64 (*.f64 x 1/720) x -1/24) |
(fma.f64 x (*.f64 x 1/720) -1/24) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) 1/720 -1/24)))) |
(fma.f64 (*.f64 x 1/720) x -1/24) |
(fma.f64 x (*.f64 x 1/720) -1/24) |
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/720 -1/24) 3)) |
(fma.f64 (*.f64 x 1/720) x -1/24) |
(fma.f64 x (*.f64 x 1/720) -1/24) |
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) |
(fma.f64 (*.f64 x 1/720) x -1/24) |
(fma.f64 x (*.f64 x 1/720) -1/24) |
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) |
(fma.f64 (*.f64 x 1/720) x -1/24) |
(fma.f64 x (*.f64 x 1/720) -1/24) |
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) 1/720 -1/24))) |
(fma.f64 (*.f64 x 1/720) x -1/24) |
(fma.f64 x (*.f64 x 1/720) -1/24) |
(fma.f64 (*.f64 x x) 1/720 -1/24) |
(fma.f64 (*.f64 x 1/720) x -1/24) |
(fma.f64 x (*.f64 x 1/720) -1/24) |
(fma.f64 1/720 (*.f64 x x) -1/24) |
(fma.f64 (*.f64 x 1/720) x -1/24) |
(fma.f64 x (*.f64 x 1/720) -1/24) |
(fma.f64 1 (*.f64 x (*.f64 x 1/720)) -1/24) |
(fma.f64 (*.f64 x 1/720) x -1/24) |
(fma.f64 x (*.f64 x 1/720) -1/24) |
(fma.f64 (*.f64 x (sqrt.f64 1/720)) (*.f64 x (sqrt.f64 1/720)) -1/24) |
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/720)) 2) -1/24) |
(+.f64 -1/24 (pow.f64 (*.f64 x (sqrt.f64 1/720)) 2)) |
(fma.f64 (cbrt.f64 (*.f64 1/518400 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x 1/720))) -1/24) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/518400)) (cbrt.f64 (*.f64 x (*.f64 x 1/720))) -1/24) |
(fma.f64 (*.f64 x 1/720) x -1/24) |
(fma.f64 x (*.f64 x 1/720) -1/24) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 x (/.f64 -1 x)) |
| ✓ | 2.0b | (+.f64 -1 (cos.f64 x)) |
| ✓ | 15.9b | (/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x))) |
Compiled 27 to 16 computations (40.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x))) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x))) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x))) |
| 0.0ms | x | @ | 0 | (+.f64 -1 (cos.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 x (/.f64 -1 x)) |
| 1× | batch-egg-rewrite |
| 1132× | associate-/r/ |
| 1128× | *-commutative |
| 874× | associate-/l/ |
| 688× | swap-sqr |
| 404× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 53 |
| 1 | 225 | 49 |
| 2 | 3178 | 45 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x))) |
(+.f64 -1 (cos.f64 x)) |
(/.f64 x (/.f64 -1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.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 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x (neg.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (cbrt.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (neg.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (neg.f64 x)) (/.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1 (sqrt.f64 (neg.f64 x))) (*.f64 x (sqrt.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (*.f64 x (cbrt.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) (*.f64 1 (sqrt.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (neg.f64 x))) (/.f64 1 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 x (neg.f64 x)))) (neg.f64 (sqrt.f64 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3)))) (neg.f64 (cbrt.f64 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) -1) (*.f64 (/.f64 (sqrt.f64 x) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 x) 1) x) (/.f64 (sqrt.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (*.f64 (sqrt.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (/.f64 (sqrt.f64 x) (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (/.f64 -1 (cbrt.f64 x))) (/.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -1) (*.f64 (/.f64 (cbrt.f64 x) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 x) 1) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 x) -1) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 -1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (cbrt.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 -1 (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 -1 x) (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (*.f64 x (pow.f64 x 3))))) (cbrt.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 -1 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) 1) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) (sqrt.f64 -1)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) -1) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) 1) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (neg.f64 x))))) (sqrt.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))))) (cbrt.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (neg.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (neg.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (neg.f64 x)))))))) |
| 1× | egg-herbie |
| 1354× | times-frac |
| 1062× | associate-/l* |
| 960× | associate-*r* |
| 936× | associate-*l* |
| 694× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 537 | 7319 |
| 1 | 1588 | 6593 |
| 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 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)) (/.f64 1 (*.f64 x x))) |
(+.f64 (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(*.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (sqrt.f64 (/.f64 -1 x)) (/.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))) x)) |
(*.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 -1 (*.f64 x x)))) |
(*.f64 (/.f64 -1 (cbrt.f64 x)) (*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 (+.f64 -1 (cos.f64 x)) x))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (cbrt.f64 (*.f64 x (pow.f64 x 3))))) |
(*.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 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 -1 (*.f64 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 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 1 x) (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 (+.f64 -1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 -1 x))) |
(*.f64 (*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 (+.f64 -1 (cos.f64 x)) x)) (/.f64 -1 (cbrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 -1 (*.f64 x x))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 -1 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 -1 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (*.f64 x (neg.f64 x)))) (/.f64 (sqrt.f64 -1) x)) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) (/.f64 1 x)) |
(*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (*.f64 x (neg.f64 x))))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (pow.f64 x 3)))) (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 x (neg.f64 x))))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 x (neg.f64 x)))) (/.f64 1 (cbrt.f64 (*.f64 x (pow.f64 x 3))))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) -1) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (neg.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (neg.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (neg.f64 x)) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x))) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) 1)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 x 3)))) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x)))) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 x 3))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (neg.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (neg.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) x)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 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 (*.f64 x (neg.f64 x)))) (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (sqrt.f64 (*.f64 x (neg.f64 x))))) |
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(*.f64 (/.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) (sqrt.f64 -1)) (sqrt.f64 x)) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) -1) (cbrt.f64 x)) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) 1) (cbrt.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (neg.f64 x))))) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))))) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(pow.f64 (*.f64 x (neg.f64 x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) 3) |
(pow.f64 (pow.f64 (*.f64 x (neg.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 -1 (*.f64 x x)) -1) |
(neg.f64 (*.f64 x x)) |
(neg.f64 (/.f64 (*.f64 x x) 1)) |
(sqrt.f64 (*.f64 x (pow.f64 x 3))) |
(log.f64 (pow.f64 (exp.f64 (neg.f64 x)) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (neg.f64 x))))) |
(cbrt.f64 (pow.f64 (*.f64 x (neg.f64 x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) |
(exp.f64 (log.f64 (*.f64 x (neg.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 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))) |
(+.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 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 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 (-.f64 1 (cos.f64 x)) (*.f64 x 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 (-.f64 1 (cos.f64 x)) (*.f64 x 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 (-.f64 1 (cos.f64 x)) (*.f64 x 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 (-.f64 1 (cos.f64 x)) (*.f64 x 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 (-.f64 1 (cos.f64 x)) (*.f64 x 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 (-.f64 1 (cos.f64 x)) (*.f64 x 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 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6)))) |
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/720))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8))))) |
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/720 (pow.f64 x 6) (*.f64 1/40320 (pow.f64 x 8))))) |
(-.f64 (cos.f64 x) 1) |
(+.f64 -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 x (neg.f64 x)) |
(*.f64 -1 (pow.f64 x 2)) |
(*.f64 x (neg.f64 x)) |
(*.f64 -1 (pow.f64 x 2)) |
(*.f64 x (neg.f64 x)) |
(*.f64 -1 (pow.f64 x 2)) |
(*.f64 x (neg.f64 x)) |
(*.f64 -1 (pow.f64 x 2)) |
(*.f64 x (neg.f64 x)) |
(*.f64 -1 (pow.f64 x 2)) |
(*.f64 x (neg.f64 x)) |
(*.f64 -1 (pow.f64 x 2)) |
(*.f64 x (neg.f64 x)) |
(*.f64 -1 (pow.f64 x 2)) |
(*.f64 x (neg.f64 x)) |
(*.f64 -1 (pow.f64 x 2)) |
(*.f64 x (neg.f64 x)) |
(*.f64 -1 (pow.f64 x 2)) |
(*.f64 x (neg.f64 x)) |
(*.f64 -1 (pow.f64 x 2)) |
(*.f64 x (neg.f64 x)) |
(*.f64 -1 (pow.f64 x 2)) |
(*.f64 x (neg.f64 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)) (/.f64 1 (*.f64 x x))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (*.f64 x x))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 (+.f64 -1 (cos.f64 x)) x))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 -1 (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 -1 (cbrt.f64 x)) (*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 (+.f64 -1 (cos.f64 x)) x))) |
(*.f64 (/.f64 -1 (cbrt.f64 x)) (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 3)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (cbrt.f64 (*.f64 x (pow.f64 x 3))))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (cbrt.f64 (*.f64 x (pow.f64 x 3)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 -1 (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 -1 x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 1 x) (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 (+.f64 -1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 -1 x))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 (+.f64 -1 (cos.f64 x)) x)) (/.f64 -1 (cbrt.f64 x))) |
(*.f64 (/.f64 -1 (cbrt.f64 x)) (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 3)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 -1 (*.f64 x x))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 -1 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 -1 x) (sqrt.f64 x))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (*.f64 x (cbrt.f64 x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (*.f64 x (neg.f64 x)))) (/.f64 (sqrt.f64 -1) x)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (cos.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) (/.f64 1 x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (*.f64 x (neg.f64 x))))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (cos.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (pow.f64 x 3)))) (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 x (neg.f64 x))))) |
(/.f64 (*.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (pow.f64 x 3)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x (neg.f64 x))))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 x (neg.f64 x)))) (/.f64 1 (cbrt.f64 (*.f64 x (pow.f64 x 3))))) |
(/.f64 (*.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (pow.f64 x 3)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x (neg.f64 x))))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) -1) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (neg.f64 x))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.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) (neg.f64 x))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (neg.f64 x)) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x))) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) 1)) |
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 x 3)))) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) |
(/.f64 (*.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (pow.f64 x 3)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x (neg.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x)))) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 x 3))))) |
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(/.f64 (*.f64 x (cbrt.f64 x)) (neg.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -1) (*.f64 (/.f64 (cbrt.f64 x) 1) x)) |
(*.f64 x (neg.f64 x)) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 x) 1) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) -1)) |
(*.f64 x (neg.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) -1) x)) |
(*.f64 x (neg.f64 x)) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 x) -1) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(*.f64 x (neg.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 -1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 -1 x)))) |
(/.f64 (/.f64 x (sqrt.f64 (/.f64 -1 x))) (sqrt.f64 (/.f64 -1 x))) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 -1 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 -1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 -1 x)))) |
(/.f64 (/.f64 x (sqrt.f64 (/.f64 -1 x))) (sqrt.f64 (/.f64 -1 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (neg.f64 x)))) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) |
(*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) |
(*.f64 (/.f64 x (/.f64 -1 (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 x (neg.f64 x)) |
(*.f64 (/.f64 x (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 x (neg.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (/.f64 -1 x) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 x (neg.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 x (neg.f64 x)) |
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (*.f64 x (pow.f64 x 3))))) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 -1 x)) (cbrt.f64 x)) |
(*.f64 x (neg.f64 x)) |
(*.f64 (/.f64 (neg.f64 x) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 x (neg.f64 x)) |
(*.f64 (/.f64 (neg.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 x (neg.f64 x)) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) 1) (sqrt.f64 (neg.f64 x))) |
(*.f64 x (neg.f64 x)) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) (sqrt.f64 -1)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (/.f64 x (/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 -1)) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) -1) (cbrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (/.f64 (sqrt.f64 x) (/.f64 -1 (cbrt.f64 x)))) |
(/.f64 (*.f64 x (cbrt.f64 x)) (neg.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) 1) (cbrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (*.f64 x (cbrt.f64 (neg.f64 x)))) |
(/.f64 (*.f64 x (cbrt.f64 (neg.f64 x))) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) |
(*.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 x (neg.f64 x)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (neg.f64 x))))) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(*.f64 x (neg.f64 x)) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))))) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(pow.f64 (*.f64 x (neg.f64 x)) 1) |
(*.f64 x (neg.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) 2) |
(*.f64 x (neg.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) 3) |
(*.f64 x (neg.f64 x)) |
(pow.f64 (pow.f64 (*.f64 x (neg.f64 x)) 3) 1/3) |
(*.f64 x (neg.f64 x)) |
(pow.f64 (/.f64 -1 (*.f64 x x)) -1) |
(*.f64 x (neg.f64 x)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(neg.f64 (/.f64 (*.f64 x x) 1)) |
(*.f64 x (neg.f64 x)) |
(sqrt.f64 (*.f64 x (pow.f64 x 3))) |
(sqrt.f64 (pow.f64 x 4)) |
(log.f64 (pow.f64 (exp.f64 (neg.f64 x)) x)) |
(*.f64 x (neg.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (neg.f64 x))))) |
(*.f64 x (neg.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 x (neg.f64 x)) 3)) |
(*.f64 x (neg.f64 x)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1 x) 3))) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x 3) -1) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) |
(*.f64 x (neg.f64 x)) |
(exp.f64 (log.f64 (*.f64 x (neg.f64 x)))) |
(*.f64 x (neg.f64 x)) |
(log1p.f64 (expm1.f64 (*.f64 x (neg.f64 x)))) |
(*.f64 x (neg.f64 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x)) |
| ✓ | 0.1b | (/.f64 x (-.f64 1 (cos.f64 x))) |
| ✓ | 0.2b | (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) |
| 2.0b | (-.f64 1 (cos.f64 x)) |
Compiled 37 to 21 computations (43.2% saved)
9 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 | @ | inf | (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) |
| 0.0ms | x | @ | 0 | (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) |
| 0.0ms | x | @ | 0 | (/.f64 x (-.f64 1 (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1258× | associate-/r/ |
| 1138× | *-commutative |
| 774× | associate-/l/ |
| 466× | distribute-lft-neg-in |
| 420× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 73 |
| 1 | 260 | 57 |
| 2 | 3795 | 57 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 x (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (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 -1 (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 x) (*.f64 1 (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 x) (*.f64 (/.f64 -1 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 x) (*.f64 (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 x) (*.f64 (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 x) (*.f64 (cos.f64 x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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| 1× | egg-herbie |
| 1142× | *-commutative |
| 1012× | associate-*r/ |
| 1006× | associate-/l* |
| 884× | associate-*l/ |
| 880× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 748 | 14023 |
| 1 | 2367 | 13169 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 x) |
(+.f64 (*.f64 -1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/40320 (pow.f64 x 7)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 2 x) |
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1/2 |
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(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.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 (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)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (/.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 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) -1) (neg.f64 (/.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 (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) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1) (neg.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) 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 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)) (neg.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(*.f64 (/.f64 -1 (*.f64 x (sqrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 -1 (*.f64 x (sqrt.f64 x))) (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 -1 (*.f64 x (sqrt.f64 x))) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 -1 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 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 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 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (/.f64 -1 x) x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) |
(*.f64 (/.f64 (/.f64 -1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 -1 x) (/.f64 x (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) (-.f64 0 (*.f64 x x))) x) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (-.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0)) |
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (neg.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (neg.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 (neg.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 (neg.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 (neg.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 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (neg.f64 (/.f64 -1 (*.f64 x (sqrt.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) |
(*.f64 (neg.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.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 x) (-.f64 1 (cos.f64 x))) -1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 -1/2 x) |
(+.f64 (*.f64 -1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(fma.f64 -1/2 x (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(fma.f64 -1/2 x (fma.f64 -1/720 (pow.f64 x 5) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/40320 (pow.f64 x 7)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))) |
(fma.f64 1/40320 (pow.f64 x 7) (fma.f64 -1/2 x (fma.f64 -1/720 (pow.f64 x 5) (*.f64 1/24 (pow.f64 x 3))))) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(/.f64 2 x) |
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) |
(fma.f64 1/6 x (/.f64 2 x)) |
(+.f64 (*.f64 1/120 (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))) |
(+.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 (pow.f64 x 5) 1/3024))) |
(+.f64 (fma.f64 1/120 (pow.f64 x 3) (fma.f64 1/6 x (/.f64 2 x))) (*.f64 (pow.f64 x 5) 1/3024)) |
1/2 |
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))) |
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(+.f64 (/.f64 -1 x) (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)))) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(+.f64 (/.f64 -1 x) (*.f64 -1 (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x))))) |
(+.f64 (/.f64 -1 x) (neg.f64 (neg.f64 (/.f64 (neg.f64 (cos.f64 x)) x)))) |
(/.f64 (-.f64 -1 (cos.f64 x)) x) |
(+.f64 (/.f64 -1 x) (*.f64 1 (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x))))) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(+.f64 (/.f64 -1 x) (*.f64 (/.f64 -1 x) (cos.f64 x))) |
(+.f64 (/.f64 -1 x) (neg.f64 (neg.f64 (/.f64 (neg.f64 (cos.f64 x)) x)))) |
(/.f64 (-.f64 -1 (cos.f64 x)) x) |
(+.f64 (/.f64 -1 x) (*.f64 (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x))) -1)) |
(+.f64 (/.f64 -1 x) (neg.f64 (neg.f64 (/.f64 (neg.f64 (cos.f64 x)) x)))) |
(/.f64 (-.f64 -1 (cos.f64 x)) x) |
(+.f64 (/.f64 -1 x) (*.f64 (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x))) 1)) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(+.f64 (/.f64 -1 x) (*.f64 (cos.f64 x) (/.f64 -1 x))) |
(+.f64 (/.f64 -1 x) (neg.f64 (neg.f64 (/.f64 (neg.f64 (cos.f64 x)) x)))) |
(/.f64 (-.f64 -1 (cos.f64 x)) x) |
(+.f64 (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x))) (/.f64 -1 x)) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(+.f64 (-.f64 0 (/.f64 -1 x)) (/.f64 (cos.f64 x) x)) |
(+.f64 (/.f64 (cos.f64 x) x) (neg.f64 (/.f64 -1 x))) |
(/.f64 (+.f64 1 (cos.f64 x)) x) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) 1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(-.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(-.f64 (/.f64 -1 x) (/.f64 (cos.f64 x) x)) |
(+.f64 (/.f64 -1 x) (neg.f64 (neg.f64 (/.f64 (neg.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 (-.f64 0 (/.f64 -1 x)) (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) x) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (+.f64 -1 (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)) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) x) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 -1 x))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (+.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 (-.f64 1 (cos.f64 x)) x) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 -1 x))) |
(/.f64 (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (neg.f64 (cbrt.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)) |
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(*.f64 (neg.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 (neg.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(*.f64 (neg.f64 (/.f64 -1 (*.f64 x (sqrt.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.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)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(*.f64 (neg.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (-.f64 1 (cos.f64 x))) (*.f64 x (cbrt.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 28934 to 17169 computations (40.7% saved)
24 alts after pruning (14 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1429 | 6 | 1435 |
| Fresh | 3 | 8 | 11 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 9 | 9 |
| Total | 1432 | 24 | 1456 |
| Status | Error | Program |
|---|---|---|
| 30.0b | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) | |
| 30.0b | (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) | |
| ✓ | 30.0b | (/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x)) |
| 31.8b | (/.f64 (/.f64 -1 (/.f64 2 x)) (neg.f64 x)) | |
| 15.0b | (/.f64 (/.f64 -1 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) (neg.f64 x)) | |
| 30.0b | (/.f64 (/.f64 -1 (*.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) x)) (neg.f64 x)) | |
| 35.4b | (/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) | |
| 30.8b | (/.f64 (-.f64 3 (+.f64 (cos.f64 x) 2)) (*.f64 x x)) | |
| ✓ | 30.5b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 30.1b | (/.f64 (+.f64 (/.f64 -1 x) (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)))) (neg.f64 x)) | |
| ✓ | 30.6b | (/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x))) |
| 47.4b | (/.f64 (+.f64 -1 1) (*.f64 x x)) | |
| ✓ | 16.2b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
| ✓ | 0.2b | (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x)))) |
| 30.3b | (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x))) | |
| ✓ | 32.4b | (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) |
| ✓ | 32.5b | (+.f64 1/2 (*.f64 x (*.f64 -1/24 x))) |
| ✓ | 30.0b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
| 30.6b | (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x))) | |
| ✓ | 31.8b | (*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
| 30.1b | (*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) | |
| ✓ | 30.5b | (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) |
| 49.0b | (*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 (/.f64 -1 x) x)) | |
| 31.7b | 1/2 |
Compiled 269 to 189 computations (29.7% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (*.f64 x (*.f64 -1/24 x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 -1 (/.f64 2 x)) (neg.f64 x)) |
(*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 (/.f64 -1 x) x)) |
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) |
(/.f64 (/.f64 -1 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) (neg.f64 x)) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x))) |
(/.f64 (-.f64 3 (+.f64 (cos.f64 x) 2)) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x)) |
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(+.f64 1/2 (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))) |
(/.f64 (/.f64 -1 (*.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) x)) (neg.f64 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x))) |
(/.f64 (+.f64 (/.f64 -1 x) (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)))) (neg.f64 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 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) |
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) |
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x)) |
(/.f64 (*.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 x x)) |
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
| Outputs |
|---|
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x)))) |
2 calls:
| 225.0ms | x |
| 7.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
| 0.2b | 1 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 512 to 284 computations (44.5% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (*.f64 x (*.f64 -1/24 x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 -1 (/.f64 2 x)) (neg.f64 x)) |
(*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 (/.f64 -1 x) x)) |
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) |
(/.f64 (/.f64 -1 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) (neg.f64 x)) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x))) |
(/.f64 (-.f64 3 (+.f64 (cos.f64 x) 2)) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x)) |
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(+.f64 1/2 (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))) |
(/.f64 (/.f64 -1 (*.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) x)) (neg.f64 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x))) |
(/.f64 (+.f64 (/.f64 -1 x) (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)))) (neg.f64 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 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
| Outputs |
|---|
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) |
2 calls:
| 59.0ms | x |
| 11.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
| 0.6b | 2 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 363 to 207 computations (43% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 1.0206906914109041e-5 | 0.02952825705466875 |
| 17.0ms | -1.019820379180352 | -0.0016053372740093591 |
| 17.0ms | 144× | body | 256 | valid |
Compiled 241 to 172 computations (28.6% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (*.f64 x (*.f64 -1/24 x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 -1 (/.f64 2 x)) (neg.f64 x)) |
(*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 (/.f64 -1 x) x)) |
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) |
(/.f64 (/.f64 -1 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) (neg.f64 x)) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x))) |
(/.f64 (-.f64 3 (+.f64 (cos.f64 x) 2)) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x)) |
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(+.f64 1/2 (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))) |
(/.f64 (/.f64 -1 (*.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) x)) (neg.f64 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x))) |
(/.f64 (+.f64 (/.f64 -1 x) (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)))) (neg.f64 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 (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 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) |
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) |
2 calls:
| 41.0ms | x |
| 16.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
| 0.4b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 352 to 201 computations (42.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.0206906914109041e-5 | 0.02952825705466875 |
| 18.0ms | -1.019820379180352 | -0.0016053372740093591 |
| 30.0ms | 256× | body | 256 | valid |
Compiled 429 to 297 computations (30.8% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (*.f64 x (*.f64 -1/24 x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 -1 (/.f64 2 x)) (neg.f64 x)) |
(*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 (/.f64 -1 x) x)) |
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) |
(/.f64 (/.f64 -1 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) (neg.f64 x)) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x))) |
(/.f64 (-.f64 3 (+.f64 (cos.f64 x) 2)) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x)) |
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(+.f64 1/2 (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))) |
(/.f64 (/.f64 -1 (*.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) x)) (neg.f64 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x))) |
(/.f64 (+.f64 (/.f64 -1 x) (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)))) (neg.f64 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 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
| Outputs |
|---|
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) |
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) |
2 calls:
| 73.0ms | x |
| 49.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
| 0.4b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 332 to 191 computations (42.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 39.0ms | 1.0206906914109041e-5 | 0.02952825705466875 |
| 18.0ms | -1.019820379180352 | -0.0016053372740093591 |
| 53.0ms | 256× | body | 256 | valid |
Compiled 461 to 313 computations (32.1% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (*.f64 x (*.f64 -1/24 x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 -1 (/.f64 2 x)) (neg.f64 x)) |
(*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 (/.f64 -1 x) x)) |
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) |
(/.f64 (/.f64 -1 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) (neg.f64 x)) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x))) |
(/.f64 (-.f64 3 (+.f64 (cos.f64 x) 2)) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x)) |
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(+.f64 1/2 (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))) |
(/.f64 (/.f64 -1 (*.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) x)) (neg.f64 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x))) |
(/.f64 (+.f64 (/.f64 -1 x) (*.f64 (/.f64 -1 x) (neg.f64 (cos.f64 x)))) (neg.f64 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)))) |
| Outputs |
|---|
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) |
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) |
2 calls:
| 63.0ms | x |
| 14.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
| 0.4b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 324 to 186 computations (42.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.0206906914109041e-5 | 0.02952825705466875 |
| 20.0ms | -1.019820379180352 | -0.0016053372740093591 |
| 28.0ms | 256× | body | 256 | valid |
Compiled 477 to 321 computations (32.7% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (*.f64 x (*.f64 -1/24 x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 -1 (/.f64 2 x)) (neg.f64 x)) |
(*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 (/.f64 -1 x) x)) |
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) |
(/.f64 (/.f64 -1 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) (neg.f64 x)) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) |
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x))) |
(/.f64 (-.f64 3 (+.f64 (cos.f64 x) 2)) (*.f64 x x)) |
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x)) |
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)) |
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) |
(+.f64 1/2 (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))) |
(/.f64 (/.f64 -1 (*.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) x)) (neg.f64 x)) |
| Outputs |
|---|
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) |
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) |
2 calls:
| 94.0ms | x |
| 12.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 3 | x |
| 0.4b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 252 to 152 computations (39.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.02952825705466875 | 9778.234501723164 |
| 17.0ms | -1.019820379180352 | -0.0016053372740093591 |
| 33.0ms | 272× | body | 256 | valid |
Compiled 472 to 332 computations (29.7% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (*.f64 x (*.f64 -1/24 x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 -1 (/.f64 2 x)) (neg.f64 x)) |
(*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 (/.f64 -1 x) x)) |
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) |
(/.f64 (/.f64 -1 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) (neg.f64 x)) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
2 calls:
| 43.0ms | x |
| 8.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 3 | x |
| 0.4b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 109 to 68 computations (37.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.02952825705466875 | 9778.234501723164 |
| 17.0ms | -1.019820379180352 | -0.0016053372740093591 |
| 33.0ms | 272× | body | 256 | valid |
Compiled 438 to 298 computations (32% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (*.f64 x (*.f64 -1/24 x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 -1 (/.f64 2 x)) (neg.f64 x)) |
(*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 (/.f64 -1 x) x)) |
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) |
(/.f64 (/.f64 -1 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) (neg.f64 x)) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
2 calls:
| 58.0ms | x |
| 8.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 3 | x |
| 0.4b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 101 to 64 computations (36.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 0.02952825705466875 | 9778.234501723164 |
| 17.0ms | -1.019820379180352 | -0.0016053372740093591 |
| 33.0ms | 272× | body | 256 | valid |
Compiled 438 to 298 computations (32% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (*.f64 x (*.f64 -1/24 x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 -1 (/.f64 2 x)) (neg.f64 x)) |
(*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 (/.f64 -1 x) x)) |
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) |
(/.f64 (/.f64 -1 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) (neg.f64 x)) |
(fma.f64 -1/24 (*.f64 x x) 1/2) |
| Outputs |
|---|
(/.f64 (/.f64 -1 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) (neg.f64 x)) |
1 calls:
| 6.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 15.0b | 1 | x |
Compiled 84 to 54 computations (35.7% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (*.f64 x (*.f64 -1/24 x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 -1 (/.f64 2 x)) (neg.f64 x)) |
(*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 (/.f64 -1 x) x)) |
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) |
| Outputs |
|---|
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
1 calls:
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 16.5b | 3 | x |
Compiled 64 to 41 computations (35.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 7.026045971569695e+34 | 2.932437753651425e+40 |
| 54.0ms | -1.8792380153389023e+40 | -3.219815579901214e+36 |
| 69.0ms | 272× | body | 256 | valid |
Compiled 421 to 298 computations (29.2% saved)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (*.f64 x (*.f64 -1/24 x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(/.f64 (/.f64 -1 (/.f64 2 x)) (neg.f64 x)) |
(*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 (/.f64 -1 x) x)) |
| Outputs |
|---|
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(/.f64 (+.f64 -1 1) (*.f64 x x)) |
1 calls:
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 16.7b | 3 | x |
Compiled 51 to 34 computations (33.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.02952825705466875 | 9778.234501723164 |
| 25.0ms | -1.9130731368477447e+23 | -1.019820379180352 |
| 39.0ms | 320× | body | 256 | valid |
Compiled 373 to 289 computations (22.5% saved)
Total -1.2b remaining (-3.7%)
Threshold costs -1.2b (-3.7%)
| Inputs |
|---|
1/2 |
(*.f64 (/.f64 1 x) (*.f64 1/2 x)) |
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) |
(+.f64 1/2 (*.f64 x (*.f64 -1/24 x))) |
| Outputs |
|---|
1/2 |
1 calls:
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 31.7b | 1 | x |
Compiled 25 to 18 computations (28% saved)
| 1× | egg-herbie |
| 28× | *-commutative |
| 22× | +-commutative |
| 10× | sub-neg |
| 8× | if-if-or-not |
| 6× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 946 |
| 1 | 125 | 946 |
| 2 | 134 | 946 |
| 3 | 139 | 946 |
| 4 | 141 | 946 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(if (<=.f64 x -1188950301625811/36028797018963968) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 5902958103587057/295147905179352825856) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))) |
(if (<=.f64 x -1188950301625811/36028797018963968) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 8214565720323785/288230376151711744) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))))) |
(if (<=.f64 x -1188950301625811/36028797018963968) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 8214565720323785/288230376151711744) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))))) |
(if (<=.f64 x -1188950301625811/36028797018963968) (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) (if (<=.f64 x 8214565720323785/288230376151711744) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))))) |
(if (<=.f64 x -1188950301625811/36028797018963968) (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) (if (<=.f64 x 1261007895663739/36028797018963968) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)))) |
(if (<=.f64 x -1188950301625811/36028797018963968) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 1261007895663739/36028797018963968) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(if (<=.f64 x -1188950301625811/36028797018963968) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 1261007895663739/36028797018963968) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (/.f64 -1 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) (neg.f64 x)) |
(if (<=.f64 x -749999999999999992560806641659545649152) (/.f64 (+.f64 -1 1) (*.f64 x x)) (if (<=.f64 x 670000000000000024584904273260447793152) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (/.f64 (+.f64 -1 1) (*.f64 x x)))) |
(if (<=.f64 x -7/2) (/.f64 (+.f64 -1 1) (*.f64 x x)) (if (<=.f64 x 7/2) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (+.f64 -1 1) (*.f64 x x)))) |
1/2 |
| Outputs |
|---|
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x)))) |
(if (<=.f64 x -1188950301625811/36028797018963968) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 5902958103587057/295147905179352825856) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))) |
(if (<=.f64 x -1188950301625811/36028797018963968) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 5902958103587057/295147905179352825856) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/720) -1/24))) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) |
(if (<=.f64 x -1188950301625811/36028797018963968) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 8214565720323785/288230376151711744) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))))) |
(if (<=.f64 x -1188950301625811/36028797018963968) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 8214565720323785/288230376151711744) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/720) -1/24))) (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))))) |
(if (<=.f64 x -1188950301625811/36028797018963968) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 8214565720323785/288230376151711744) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))))) |
(if (<=.f64 x -1188950301625811/36028797018963968) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 8214565720323785/288230376151711744) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/720) -1/24))) (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))))) |
(if (<=.f64 x -1188950301625811/36028797018963968) (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) (if (<=.f64 x 8214565720323785/288230376151711744) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))))) |
(if (<=.f64 x -1188950301625811/36028797018963968) (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) (if (<=.f64 x 8214565720323785/288230376151711744) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/720) -1/24))) (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))))) |
(if (<=.f64 x -1188950301625811/36028797018963968) (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) (if (<=.f64 x 1261007895663739/36028797018963968) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)))) |
(if (or (<=.f64 x -1188950301625811/36028797018963968) (not (<=.f64 x 1261007895663739/36028797018963968))) (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/720) -1/24)))) |
(if (<=.f64 x -1188950301625811/36028797018963968) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 1261007895663739/36028797018963968) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(if (<=.f64 x -1188950301625811/36028797018963968) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 1261007895663739/36028797018963968) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/720) -1/24))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(if (<=.f64 x -1188950301625811/36028797018963968) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 1261007895663739/36028797018963968) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) |
(if (or (<=.f64 x -1188950301625811/36028797018963968) (not (<=.f64 x 1261007895663739/36028797018963968))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/720) -1/24)))) |
(/.f64 (/.f64 -1 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) (neg.f64 x)) |
(/.f64 (/.f64 -1 (+.f64 (*.f64 x 1/6) (*.f64 2 (/.f64 1 x)))) (neg.f64 x)) |
(if (<=.f64 x -749999999999999992560806641659545649152) (/.f64 (+.f64 -1 1) (*.f64 x x)) (if (<=.f64 x 670000000000000024584904273260447793152) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (/.f64 (+.f64 -1 1) (*.f64 x x)))) |
(if (or (<=.f64 x -749999999999999992560806641659545649152) (not (<=.f64 x 670000000000000024584904273260447793152))) (/.f64 0 (*.f64 x x)) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/720) -1/24)))) |
(if (<=.f64 x -7/2) (/.f64 (+.f64 -1 1) (*.f64 x x)) (if (<=.f64 x 7/2) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (+.f64 -1 1) (*.f64 x x)))) |
(if (or (<=.f64 x -7/2) (not (<=.f64 x 7/2))) (/.f64 0 (*.f64 x x)) (+.f64 1/2 (*.f64 (*.f64 x x) -1/24))) |
1/2 |
Compiled 352 to 228 computations (35.2% saved)
| 2× | egg-herbie |
| 552× | div-sub |
| 552× | div-sub |
| 432× | associate-/l* |
| 432× | associate-+r+ |
| 432× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 321 | 5119 |
| 1 | 890 | 4897 |
| 2 | 3946 | 4843 |
| 0 | 321 | 5119 |
| 1 | 890 | 4897 |
| 2 | 3946 | 4843 |
| 1× | node limit |
| 1× | node limit |
Compiled 149 to 96 computations (35.6% saved)
Compiled 341 to 202 computations (40.8% saved)
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