Time bar (total: 11.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.5% | 0% | 0% | 0% | 0% | 4 |
| 43.8% | 43.7% | 56.2% | 0% | 0% | 0% | 0% | 5 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 6 |
| 48.4% | 48.4% | 51.5% | 0% | 0% | 0% | 0% | 7 |
| 49.2% | 49.2% | 50.8% | 0% | 0% | 0% | 0% | 8 |
| 49.6% | 49.6% | 50.4% | 0% | 0% | 0% | 0% | 9 |
| 49.8% | 49.8% | 50.2% | 0% | 0% | 0% | 0% | 10 |
| 49.9% | 49.9% | 50.1% | 0% | 0% | 0% | 0% | 11 |
| 50% | 49.9% | 50% | 0% | 0% | 0% | 0% | 12 |
Compiled 18 to 15 computations (16.7% saved)
| 1.8s | 2022× | body | 1024 | valid |
| 1.4s | 5220× | body | 256 | valid |
| 570.0ms | 1010× | body | 512 | valid |
| 5.0ms | 4× | body | 2048 | valid |
| 2× | egg-herbie |
| 24× | *-commutative |
| 16× | associate-/l* |
| 16× | associate-/r/ |
| 6× | associate-*r* |
| 6× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 43 |
| 1 | 22 | 43 |
| 2 | 33 | 43 |
| 3 | 45 | 43 |
| 4 | 56 | 43 |
| 5 | 60 | 43 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3) |
(*.f64 8/3 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) |
Compiled 18 to 15 computations (16.7% saved)
| 1× | egg-herbie |
| 24× | *-commutative |
| 16× | associate-/l* |
| 16× | associate-/r/ |
| 6× | associate-*r* |
| 6× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 43 |
| 1 | 22 | 43 |
| 2 | 33 | 43 |
| 3 | 45 | 43 |
| 4 | 56 | 43 |
| 5 | 60 | 43 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3) |
(*.f64 8/3 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) |
Compiled 59 to 44 computations (25.4% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 3 | 4 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 4 | 5 |
| Status | Error | Program |
|---|---|---|
| ▶ | 20.81% | (/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
| ▶ | 20.81% | (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) |
| ▶ | 20.79% | (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3) |
Compiled 47 to 38 computations (19.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.33% | (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) |
| ✓ | 0.54% | (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3) |
| ✓ | 20.53% | (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
Compiled 48 to 34 computations (29.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3) |
| 1× | batch-egg-rewrite |
| 1758× | associate-*r/ |
| 1484× | associate-*l/ |
| 1222× | associate-/r* |
| 958× | associate-/l* |
| 264× | add-sqr-sqrt |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 77 |
| 1 | 257 | 77 |
| 2 | 3402 | 75 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3) |
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (sin.f64 x) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (/.f64 (sin.f64 x) 8/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) 8/3) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (/.f64 (sin.f64 x) 8/3) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (/.f64 (sin.f64 x) 8/3) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (/.f64 (sin.f64 x) 8/3) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 0) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) 8/3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 (sin.f64 x) 8/3) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change 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x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (/.f64 2 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (/.f64 2 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) (+.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 0 x) 2)) (sin.f64 (/.f64 (+.f64 x 0) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3))) (+.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) 1) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) 1) (+.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (cos.f64 x) (cos.f64 x))) 1/2) (+.f64 (cos.f64 0) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 0) 3) (pow.f64 (cos.f64 x) 3)) 1/2) (+.f64 (+.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (cos.f64 x) (cos.f64 x))) (*.f64 (cos.f64 0) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))))) |
| 1× | egg-herbie |
| 1576× | associate-/l* |
| 1054× | associate-/l/ |
| 682× | times-frac |
| 678× | associate-/r/ |
| 576× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 700 | 11172 |
| 1 | 1772 | 9948 |
| 2 | 7730 | 9948 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/4 x) |
(+.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/4 x)) |
(+.f64 (*.f64 1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x))) |
(+.f64 (*.f64 17/80640 (pow.f64 x 7)) (+.f64 (*.f64 1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)) |
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 1/4 (pow.f64 x 2)) |
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4))) |
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))) |
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 1) |
(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 1/2))) |
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 1) |
(*.f64 1 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 -1 (sin.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) |
(pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 1) |
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) -1) |
(neg.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))) |
(log.f64 (exp.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) 1) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)) |
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (sin.f64 x) 8/3)) |
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (/.f64 (sin.f64 x) 8/3) 1)) |
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1) |
(/.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) 8/3) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (/.f64 (sin.f64 x) 8/3) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (/.f64 (sin.f64 x) 8/3) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (/.f64 (sin.f64 x) 8/3) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 8/3))) |
(/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) |
(/.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) 8/3)) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) 8/3) 1/2)) |
(/.f64 (sqrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 (sin.f64 x) 8/3) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
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(/.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) 1)) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) (/.f64 (sin.f64 x) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) 1) (neg.f64 (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) -1) (sin.f64 x)) |
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) 8/3) 1) (neg.f64 (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) 8/3) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) 8/3) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) 8/3) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) 8/3) -1) (sin.f64 x)) |
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) 8/3) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) 8/3) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) 1) (sin.f64 x)) |
(/.f64 (/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))) 1) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 1) (cbrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))) (cbrt.f64 (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 1) (neg.f64 (sin.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) -1) (sin.f64 x)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1) |
(pow.f64 (*.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) |
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
(+.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 x)))) |
(+.f64 (*.f64 -1/2 (cos.f64 x)) 1/2) |
(+.f64 (neg.f64 (*.f64 1/2 (cos.f64 x))) 1/2) |
(-.f64 1/2 (*.f64 1/2 (cos.f64 x))) |
(-.f64 (exp.f64 (log.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x))))) 1) |
(-.f64 (/.f64 (cos.f64 0) 2) (/.f64 (cos.f64 x) 2)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1) |
(/.f64 1 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 x)))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 2) |
(/.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (/.f64 2 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (/.f64 2 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) -2) |
(/.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) (+.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 1) 2) |
(/.f64 -2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 0 x) 2)) (sin.f64 (/.f64 (+.f64 x 0) 2))))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) -2) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2)) |
(/.f64 (*.f64 1 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (*.f64 1 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3))) (+.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (cbrt.f64 2)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 1) -2) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) 1) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) 1) (+.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 2)) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 2)) |
(/.f64 (*.f64 (-.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (cos.f64 x) (cos.f64 x))) 1/2) (+.f64 (cos.f64 0) (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 0) 3) (pow.f64 (cos.f64 x) 3)) 1/2) (+.f64 (+.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (cos.f64 x) (cos.f64 x))) (*.f64 (cos.f64 0) (cos.f64 x)))) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1) |
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3) |
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) |
(log.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) |
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3)) |
(expm1.f64 (log.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x))))) |
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 2)) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
| Outputs |
|---|
(*.f64 1/4 x) |
(+.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/4 x)) |
(fma.f64 1/48 (pow.f64 x 3) (*.f64 1/4 x)) |
(+.f64 (*.f64 1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x))) |
(fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/480 (pow.f64 x 5) (*.f64 1/4 x))) |
(+.f64 (*.f64 17/80640 (pow.f64 x 7)) (+.f64 (*.f64 1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))) |
(fma.f64 17/80640 (pow.f64 x 7) (fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/480 (pow.f64 x 5) (*.f64 1/4 x)))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) |
(*.f64 2/3 x) |
(*.f64 x 2/3) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) |
(fma.f64 x 2/3 (*.f64 (pow.f64 x 3) 1/18)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180))) |
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 x 2/3 (*.f64 (pow.f64 x 5) 1/180))) |
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(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180)))) |
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 7) 17/30240 (fma.f64 x 2/3 (*.f64 (pow.f64 x 5) 1/180)))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (*.f64 x x)) |
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(fma.f64 1/4 (*.f64 x x) (*.f64 -1/48 (pow.f64 x 4))) |
(fma.f64 -1/48 (pow.f64 x 4) (*.f64 1/4 (*.f64 x x))) |
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))) |
(fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 -1/48 (pow.f64 x 4)))) |
(fma.f64 1/4 (*.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (*.f64 1/1440 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))) |
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 -1/48 (pow.f64 x 4))))) |
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (*.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (*.f64 1/1440 (pow.f64 x 6))))) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 1) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 1/2))) |
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(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) |
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(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 1) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(*.f64 1 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
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(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2)) |
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(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 1) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3) 1/3) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) -1) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(neg.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (neg.f64 (sin.f64 x)))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))) |
(log.f64 (exp.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3)) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(exp.f64 (log.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1)) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) |
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)) |
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (/.f64 (sin.f64 x) 8/3) 1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
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(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) 8/3)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (*.f64 8/3 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
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(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (sin.f64 x) 8/3))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (/.f64 (sin.f64 x) 8/3) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (/.f64 (sin.f64 x) 8/3) (*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)) (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (/.f64 (sin.f64 x) 8/3) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (/.f64 (sin.f64 x) 8/3) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (sin.f64 x) 8/3))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 8/3))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (/.f64 (sin.f64 x) 8/3) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (sin.f64 x) 8/3))) |
(/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) 8/3)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) 8/3) 1/2)) |
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(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
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(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
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(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
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(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
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(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
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(/.f64 (*.f64 (*.f64 8/3 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 8/3 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2)) (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (*.f64 (*.f64 8/3 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 8/3 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2)) (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (*.f64 8/3 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2)) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (*.f64 8/3 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2)) (cbrt.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 8/3 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2)) (/.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))))) |
(*.f64 (/.f64 (*.f64 8/3 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 x) -1/2))) |
(/.f64 (*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) 8/3) (sqrt.f64 (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 8/3) (cbrt.f64 (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
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(/.f64 (*.f64 1 (/.f64 8/3 (sin.f64 x))) (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
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(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) (/.f64 8/3 (sin.f64 x))) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) -2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
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(/.f64 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 8/3) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) 8/3)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
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(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 8/3) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (/.f64 (sin.f64 x) 8/3) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (sin.f64 x) 8/3))) |
(/.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) (/.f64 1 (sin.f64 x))) 8/3) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 8/3) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 8/3 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 8/3 (*.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(/.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 1) 8/3) (*.f64 2 (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (*.f64 (neg.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) 8/3) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 8/3 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) 1) (neg.f64 (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (*.f64 (*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) 8/3) 1) (neg.f64 (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) 1) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))) 1) (sqrt.f64 (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 1) (cbrt.f64 (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (*.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 1) (neg.f64 (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (*.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (sqrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) |
(/.f64 (*.f64 1 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))) (sqrt.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) |
(/.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(*.f64 (/.f64 8/3 (sqrt.f64 (/.f64 2 (tan.f64 (/.f64 x 2))))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))))) |
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(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 2)) (cbrt.f64 (sin.f64 x))) |
(/.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))) 2))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2)) |
(/.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) (/.f64 1 (sin.f64 x))) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (/.f64 8/3 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (cbrt.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (cbrt.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 (cos.f64 0) (cos.f64 x)))) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (/.f64 8/3 (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) |
(/.f64 (/.f64 8/3 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (/.f64 (sin.f64 x) 8/3) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (sin.f64 x) 8/3))) |
(/.f64 (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (/.f64 (*.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (sqrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) |
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(/.f64 (/.f64 8/3 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) |
(/.f64 (/.f64 8/3 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)) (/.f64 (cbrt.f64 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
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(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
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(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
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(fma.f64 -1/2 (cos.f64 x) 1/2) |
(-.f64 (exp.f64 (log.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x))))) 1) |
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(/.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) -2) |
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(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (cbrt.f64 2)) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2)) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 1) -2) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) 1) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 (cos.f64 x) (cos.f64 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (+.f64 1/4 (*.f64 -1/4 (*.f64 (cos.f64 x) (cos.f64 x)))) (fma.f64 1/2 (cos.f64 x) 1/2)) |
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) 1) (+.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(/.f64 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 x) 3))) (+.f64 1/4 (+.f64 (*.f64 1/4 (*.f64 (cos.f64 x) (cos.f64 x))) (*.f64 1/4 (cos.f64 x))))) |
(/.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 x) 3))) (+.f64 1/4 (*.f64 1/4 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 2)) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 2)) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 2) (*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (cos.f64 x) (cos.f64 x))) 1/2) (+.f64 (cos.f64 0) (cos.f64 x))) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) 1) 1/2)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) 1/2) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 0) 3) (pow.f64 (cos.f64 x) 3)) 1/2) (+.f64 (+.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (cos.f64 x) (cos.f64 x))) (*.f64 (cos.f64 0) (cos.f64 x)))) |
(/.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 x) 1)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1)) 1/2)) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3) |
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3) 1/3) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) |
(log.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3)) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(expm1.f64 (log.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x))))) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))))) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 2)) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1)) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.33% | (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) | |
| ✓ | 0.51% | (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
| ✓ | 20.5% | (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) |
Compiled 47 to 35 computations (25.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) |
| 0.0ms | x | @ | inf | (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
| 0.0ms | x | @ | -inf | (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 1428× | associate-/r* |
| 1348× | associate-*r/ |
| 1230× | associate-/l* |
| 1108× | associate-*l/ |
| 264× | add-sqr-sqrt |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 56 |
| 1 | 257 | 56 |
| 2 | 3417 | 52 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) |
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (*.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sqrt.f64 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 8/3))) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8/3 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3))) (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) 8/3) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) 8/3) (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 8/3) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))))))) |
| 1× | egg-herbie |
| 1522× | associate-/l* |
| 998× | *-commutative |
| 782× | times-frac |
| 698× | associate-/r* |
| 644× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 251 | 3322 |
| 1 | 630 | 3184 |
| 2 | 2297 | 3180 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 2/3 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6))))) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) 1) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1) |
(*.f64 1 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (*.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) |
(*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 -1 (sin.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sqrt.f64 8/3)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 8/3))) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x)))) |
(pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1) |
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) -1) |
(neg.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))) 1) |
(/.f64 8/3 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 x)))) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) |
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 2) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 2) |
(/.f64 (*.f64 8/3 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (*.f64 8/3 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3))) (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(/.f64 (*.f64 8/3 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) -2) |
(/.f64 (*.f64 1 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x)))) 2) |
(/.f64 (*.f64 1 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3)) 2) |
(/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2)) |
(/.f64 (*.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (cbrt.f64 2)) |
(/.f64 (*.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 2)) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) 8/3) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) 8/3) (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 8/3) -2) |
(/.f64 (*.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 1) 2) |
(/.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 1) 2) |
(pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 1) |
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) |
(log.f64 (exp.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))) |
| Outputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2))) |
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 2/3 (*.f64 x x))) |
(fma.f64 2/3 (*.f64 x x) (*.f64 -1/18 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6)))) |
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (*.f64 1/540 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6))))) |
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 -1/30240 (pow.f64 x 8) (*.f64 1/540 (pow.f64 x 6))))) |
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 1/540 (pow.f64 x 6) (*.f64 -1/30240 (pow.f64 x 8))))) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) 1) |
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) |
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) |
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x))) |
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3) |
(*.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1) |
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3) |
(*.f64 1 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) |
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3)))) |
(pow.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3)) 2) |
(pow.f64 (*.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) 2) |
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) (/.f64 1 (sin.f64 x))) |
(/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) (sin.f64 x)) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 2)) |
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) |
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (*.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (/.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (sin.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))) (sin.f64 x))) |
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) |
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3) |
(*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 -1 (sin.f64 x))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) |
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) 3/4))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 3/4 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 4/3 (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (sin.f64 x)) 3/4))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 3/4 (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 3/4 (cbrt.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sqrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) 8/3)) |
(/.f64 (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) |
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sqrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) 8/3)) |
(/.f64 (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (cbrt.f64 (sin.f64 x)))) |
(/.f64 8/3 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (cbrt.f64 (sin.f64 x))))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) |
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (cbrt.f64 (sin.f64 x)))) |
(/.f64 8/3 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (cbrt.f64 (sin.f64 x))))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sqrt.f64 8/3)))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) (/.f64 1 (sin.f64 x))) |
(/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 8/3))) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 8/3)) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 8/3))) |
(*.f64 (sqrt.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 8/3))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (sin.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (/.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (sin.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))) (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (cbrt.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) |
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) (cbrt.f64 (sin.f64 x))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3) (cbrt.f64 (sin.f64 x)))) |
(pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1) |
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3) |
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) 2) |
(pow.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3)) 2) |
(pow.f64 (*.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 3) |
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3) 1/3) |
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3) |
(pow.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) -1) |
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3) |
(neg.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (neg.f64 (sin.f64 x)))) |
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) 2)) |
(fabs.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)) |
(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) |
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))) |
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3)) |
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) |
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3) |
(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) |
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 1)) |
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) |
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))) 1) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
(/.f64 8/3 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 x)))) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 2) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 2) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
(/.f64 (*.f64 8/3 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/4 (*.f64 (*.f64 1/4 (cos.f64 x)) (cos.f64 x))))) |
(*.f64 (/.f64 8/3 (fma.f64 1/2 (cos.f64 x) 1/2)) (-.f64 1/4 (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) 1/4)))) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) 1/4))) (+.f64 (cos.f64 x) 1)) 16/3) |
(/.f64 (*.f64 8/3 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3))) (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(/.f64 (*.f64 8/3 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 x) 3)))) (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(/.f64 (*.f64 8/3 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3))) (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4)) |
(*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 8/3 (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4))) |
(/.f64 (*.f64 8/3 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) -2) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
(/.f64 (*.f64 1 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x)))) 2) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
(/.f64 (*.f64 1 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3)) 2) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
(/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2)) |
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 2) 8/3))) |
(/.f64 (*.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (cbrt.f64 2)) |
(/.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 (cbrt.f64 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 8/3 (/.f64 (cbrt.f64 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) |
(/.f64 (*.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2)) |
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 2) 8/3))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 2)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2)) |
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 2) 8/3))) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) 8/3) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/4 (*.f64 (*.f64 1/4 (cos.f64 x)) (cos.f64 x))))) |
(*.f64 (/.f64 8/3 (fma.f64 1/2 (cos.f64 x) 1/2)) (-.f64 1/4 (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) 1/4)))) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) 1/4))) (+.f64 (cos.f64 x) 1)) 16/3) |
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) 8/3) (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(/.f64 (*.f64 8/3 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 x) 3)))) (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(/.f64 (*.f64 8/3 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3))) (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4)) |
(*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 8/3 (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 8/3) -2) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
(/.f64 (*.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 1) 2) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
(/.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 1) 2) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
(pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 1) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 3) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 3) 1/3) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) |
(log.f64 (exp.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 3)) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 1)) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.35% | (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
| ✓ | 0.51% | (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) |
| ✓ | 20.5% | (/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
Compiled 54 to 43 computations (20.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 1490× | associate-/r* |
| 1454× | associate-/l* |
| 1056× | associate-*r/ |
| 916× | associate-*l/ |
| 282× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 93 |
| 1 | 289 | 73 |
| 2 | 3436 | 73 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (*.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)))) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (*.f64 2 (*.f64 x 1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (*.f64 2 (*.f64 x 1/2)))) 8/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))) |
| 1× | egg-herbie |
| 1494× | unswap-sqr |
| 828× | distribute-rgt-in |
| 828× | distribute-lft-in |
| 714× | associate-/r* |
| 580× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 276 | 4380 |
| 1 | 701 | 4250 |
| 2 | 2603 | 4240 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 4/3 x) |
(+.f64 (*.f64 4/3 x) (*.f64 -1/18 (pow.f64 x 3))) |
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3)))) |
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 -1/241920 (pow.f64 x 7)) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 2/3 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6))))) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1) |
(*.f64 8/3 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x)))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) |
(*.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) |
(*.f64 1 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(*.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (*.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(*.f64 (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 -1 (sin.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3) |
(*.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 8/3) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (sin.f64 x)) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)))) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) |
(pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1) |
(neg.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 1) |
(pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) |
(pow.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3) |
(pow.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) |
(log.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))) |
(cbrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) |
(exp.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1) |
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (*.f64 2 (*.f64 x 1/2))))) 2) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (*.f64 2 (*.f64 x 1/2)))) 8/3) 2) |
(pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) |
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) |
(pow.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3) |
(pow.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) |
(log.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) |
(cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(exp.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
| Outputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 4/3 x) |
(*.f64 x 4/3) |
(+.f64 (*.f64 4/3 x) (*.f64 -1/18 (pow.f64 x 3))) |
(fma.f64 4/3 x (*.f64 (pow.f64 x 3) -1/18)) |
(fma.f64 x 4/3 (*.f64 (pow.f64 x 3) -1/18)) |
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3)))) |
(fma.f64 4/3 x (fma.f64 1/1440 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/18))) |
(fma.f64 x 4/3 (fma.f64 (pow.f64 x 3) -1/18 (*.f64 (pow.f64 x 5) 1/1440))) |
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 -1/241920 (pow.f64 x 7)) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))) |
(fma.f64 4/3 x (fma.f64 -1/241920 (pow.f64 x 7) (fma.f64 1/1440 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/18)))) |
(fma.f64 x 4/3 (fma.f64 (pow.f64 x 7) -1/241920 (fma.f64 (pow.f64 x 3) -1/18 (*.f64 (pow.f64 x 5) 1/1440)))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2))) |
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 2/3 (*.f64 x x))) |
(fma.f64 2/3 (*.f64 x x) (*.f64 -1/18 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6)))) |
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (*.f64 1/540 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6))))) |
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 -1/30240 (pow.f64 x 8) (*.f64 1/540 (pow.f64 x 6))))) |
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 1/540 (pow.f64 x 6) (*.f64 -1/30240 (pow.f64 x 8))))) |
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(*.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (/.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) (sin.f64 x))) (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) |
(pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(pow.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 2) |
(pow.f64 (*.f64 (/.f64 (sqrt.f64 8/3) (sqrt.f64 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) 2) |
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 8/3) (sqrt.f64 (sin.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(pow.f64 (/.f64 (sin.f64 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(neg.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) |
(fabs.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(log.f64 (exp.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3)) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(exp.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1)) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 1) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(pow.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(pow.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) 1/3) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) |
(log.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(cbrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(expm1.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(exp.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1)) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (*.f64 2 (*.f64 x 1/2))))) 2) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 2 (*.f64 x 1/2)))) 3/4) |
(*.f64 4/3 (-.f64 1 (cos.f64 (*.f64 x 1)))) |
(-.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1)) 3/4)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (*.f64 2 (*.f64 x 1/2)))) 8/3) 2) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 2 (*.f64 x 1/2)))) 3/4) |
(*.f64 4/3 (-.f64 1 (cos.f64 (*.f64 x 1)))) |
(-.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1)) 3/4)) |
(pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) |
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(pow.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) |
(fabs.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(log.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3))) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(expm1.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(exp.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(log1p.f64 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
Compiled 14244 to 9786 computations (31.3% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 779 | 17 | 796 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 0 | 2 |
| Total | 782 | 17 | 799 |
| Status | Error | Program |
|---|---|---|
| 20.92% | (/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)) | |
| 20.74% | (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x))) | |
| 20.65% | (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8) | |
| ▶ | 46.59% | (/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
| ▶ | 46.74% | (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
| 46.47% | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) | |
| 69.84% | (/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) | |
| 20.81% | (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) | |
| 46.95% | (/.f64 (*.f64 8/3 (log.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (sin.f64 x)) | |
| 47.11% | (/.f64 (*.f64 8/3 (expm1.f64 (log.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x)))))) (sin.f64 x)) | |
| 70.15% | (/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x)) | |
| ▶ | 0.49% | (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)) |
| 46.53% | (/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) | |
| 46.53% | (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) | |
| ▶ | 20.89% | (*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
| 0.54% | (*.f64 (tan.f64 (/.f64 x 2)) 4/3) | |
| ▶ | 49.9% | (*.f64 x 2/3) |
Compiled 392 to 322 computations (17.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.28% | (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)) |
| ✓ | 0.3% | (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
| ✓ | 0.34% | (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3) |
Compiled 43 to 29 computations (32.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3) |
| 1.0ms | x | @ | inf | (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3) |
| 1.0ms | x | @ | -inf | (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3) |
| 0.0ms | x | @ | 0 | (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
| 0.0ms | x | @ | inf | (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)) |
| 1× | batch-egg-rewrite |
| 1174× | associate-/r/ |
| 866× | swap-sqr |
| 812× | unswap-sqr |
| 754× | associate-/l/ |
| 360× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 91 |
| 1 | 260 | 91 |
| 2 | 3427 | 87 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 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| 1× | egg-herbie |
| 896× | associate-*r* |
| 878× | *-commutative |
| 804× | distribute-lft-neg-in |
| 762× | associate-*l* |
| 694× | distribute-rgt-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 560 | 9729 |
| 1 | 1564 | 9293 |
| 2 | 6152 | 9293 |
| 1× | node limit |
| Inputs |
|---|
3/4 |
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2))) |
(+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/61440 (pow.f64 x 6)) (+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2))))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
2 |
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2))) |
(+.f64 (*.f64 1/192 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))) |
(+.f64 (*.f64 1/192 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/23040 (pow.f64 x 6))))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
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(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 2))) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) (*.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) |
(pow.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1) |
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3) 1/3) |
(pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) -1) |
(neg.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) -8/3)) |
(neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -8/3))) |
(neg.f64 (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) -8/3) 1)) |
(neg.f64 (*.f64 1 (*.f64 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) -8/3))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) |
(sqrt.f64 (pow.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 2)) |
(log.f64 (exp.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) |
(exp.f64 (neg.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) |
| Outputs |
|---|
3/4 |
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2))) |
(+.f64 3/4 (*.f64 -3/32 (*.f64 x x))) |
(fma.f64 -3/32 (*.f64 x x) 3/4) |
(+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))) |
(fma.f64 1/512 (pow.f64 x 4) (+.f64 3/4 (*.f64 -3/32 (*.f64 x x)))) |
(fma.f64 1/512 (pow.f64 x 4) (fma.f64 -3/32 (*.f64 x x) 3/4)) |
(+.f64 (*.f64 -1/61440 (pow.f64 x 6)) (+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2))))) |
(fma.f64 -1/61440 (pow.f64 x 6) (fma.f64 1/512 (pow.f64 x 4) (+.f64 3/4 (*.f64 -3/32 (*.f64 x x))))) |
(fma.f64 -1/61440 (pow.f64 x 6) (fma.f64 1/512 (pow.f64 x 4) (fma.f64 -3/32 (*.f64 x x) 3/4))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
2 |
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2))) |
(+.f64 2 (*.f64 (*.f64 x x) -1/4)) |
(fma.f64 (*.f64 x x) -1/4 2) |
(+.f64 (*.f64 1/192 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))) |
(fma.f64 1/192 (pow.f64 x 4) (+.f64 2 (*.f64 (*.f64 x x) -1/4))) |
(fma.f64 (pow.f64 x 4) 1/192 (fma.f64 (*.f64 x x) -1/4 2)) |
(+.f64 (*.f64 1/192 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/23040 (pow.f64 x 6))))) |
(fma.f64 1/192 (pow.f64 x 4) (+.f64 2 (fma.f64 -1/4 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/23040)))) |
(+.f64 (fma.f64 (pow.f64 x 4) 1/192 (fma.f64 (*.f64 x x) -1/4 2)) (*.f64 (pow.f64 x 6) -1/23040)) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 2/3 x) |
(*.f64 x 2/3) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 x 2/3))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 x 2/3)))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) 1) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) 3/8)) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (/.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 1) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 1 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3/8)) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3/8)) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))) -3/8) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)))) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8))) (neg.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)))) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 x) 8/3) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 -1 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)) (neg.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 -3/8 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sin.f64 x)) |
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(*.f64 (/.f64 1 (*.f64 3/8 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
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(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8))))) (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 3/8 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 2)) |
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(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
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(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 2) |
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8)))) 2) |
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8))) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 3) |
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(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(pow.f64 (pow.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3) 1/3) |
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(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2)) |
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(*.f64 (/.f64 1 (*.f64 3/8 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.45% | (*.f64 x 2/3) |
Compiled 6 to 4 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 x 2/3) |
| 0.0ms | x | @ | inf | (*.f64 x 2/3) |
| 0.0ms | x | @ | 0 | (*.f64 x 2/3) |
| 1× | batch-egg-rewrite |
| 924× | associate-*l* |
| 902× | add-sqr-sqrt |
| 884× | *-un-lft-identity |
| 842× | pow1 |
| 826× | add-cube-cbrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 100 | 7 |
| 2 | 1110 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x 2/3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x 2/3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 2/3))))))) |
| 1× | egg-herbie |
| 862× | log-prod |
| 820× | associate-+r- |
| 788× | +-commutative |
| 696× | fma-def |
| 672× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 161 |
| 1 | 84 | 161 |
| 2 | 259 | 161 |
| 3 | 1819 | 161 |
| 4 | 4000 | 161 |
| 5 | 6465 | 161 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
(pow.f64 (*.f64 x 2/3) 1) |
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) |
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3) |
(sqrt.f64 (*.f64 x (*.f64 x 4/9))) |
(log.f64 (pow.f64 (exp.f64 2/3) x)) |
(cbrt.f64 (pow.f64 (*.f64 x 2/3) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x 2/3))) |
(exp.f64 (log.f64 (*.f64 x 2/3))) |
(log1p.f64 (expm1.f64 (*.f64 x 2/3))) |
| Outputs |
|---|
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
(*.f64 2/3 x) |
(pow.f64 (*.f64 x 2/3) 1) |
(*.f64 2/3 x) |
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2) |
(*.f64 2/3 x) |
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) |
(*.f64 2/3 x) |
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3) |
(*.f64 2/3 x) |
(sqrt.f64 (*.f64 x (*.f64 x 4/9))) |
(*.f64 2/3 x) |
(log.f64 (pow.f64 (exp.f64 2/3) x)) |
(*.f64 2/3 x) |
(cbrt.f64 (pow.f64 (*.f64 x 2/3) 3)) |
(*.f64 2/3 x) |
(expm1.f64 (log1p.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(exp.f64 (log.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(log1p.f64 (expm1.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.15% | (/.f64 (cos.f64 x) 3/4) |
| ✓ | 0.28% | (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
| ✓ | 1.88% | (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
Compiled 27 to 16 computations (40.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (cos.f64 x) 3/4) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
| 0.0ms | x | @ | inf | (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
| 0.0ms | x | @ | -inf | (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
| 1× | batch-egg-rewrite |
| 1428× | associate-*l/ |
| 1222× | associate-/r* |
| 1160× | associate-/l* |
| 1114× | *-commutative |
| 418× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 55 |
| 1 | 245 | 55 |
| 2 | 3227 | 55 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
(/.f64 (cos.f64 x) 3/4) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/3 (*.f64 (cos.f64 x) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) -4/3) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 4/3 (exp.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (/.f64 1 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))) (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (+.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (+.f64 16/9 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (-.f64 256/81 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x)))))) (-.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (*.f64 16/9 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (+.f64 4096/729 (pow.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) 3))) (-.f64 (+.f64 256/81 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))))) (*.f64 16/9 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (/.f64 1 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) (/.f64 1 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (/.f64 1 (/.f64 1 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (/.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)) (sqrt.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (/.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (cbrt.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)))) (/.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)) (cbrt.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (cbrt.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)))) (/.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (cbrt.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (*.f64 1 (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (neg.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (*.f64 1 (neg.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/9 (*.f64 (*.f64 (cos.f64 x) -4/3) (*.f64 (cos.f64 x) -4/3))) (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4096/729 (*.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (*.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)) (+.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 256/81 (/.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) (/.f64 3/4 (cos.f64 x)))) (*.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/27 (pow.f64 (*.f64 (cos.f64 x) -4/3) 3)) (+.f64 16/9 (-.f64 (*.f64 (*.f64 (cos.f64 x) -4/3) (*.f64 (cos.f64 x) -4/3)) (*.f64 4/3 (*.f64 (cos.f64 x) -4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/27 (pow.f64 (*.f64 (cos.f64 x) -4/3) 3)) (*.f64 1 (+.f64 16/9 (-.f64 (*.f64 (*.f64 (cos.f64 x) -4/3) (*.f64 (cos.f64 x) -4/3)) (*.f64 4/3 (*.f64 (cos.f64 x) -4/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 262144/19683 (pow.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) 3)) (*.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)) (+.f64 4096/729 (+.f64 (*.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (*.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4096/729 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 3)) (*.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (+.f64 256/81 (+.f64 (/.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) (/.f64 3/4 (cos.f64 x))) (*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) 1) (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4/3 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4/3 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (*.f64 4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (*.f64 4/3 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2) (cbrt.f64 (*.f64 4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 4/3 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 x)) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4/3 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4/3 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 3/4 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 3/4 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 3/4) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 3/4) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4/3 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/4 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 x) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4/3 (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 666× | associate-*r* |
| 650× | associate-+r+ |
| 650× | associate-*l* |
| 628× | associate-+l+ |
| 606× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 424 | 6784 |
| 1 | 1192 | 6362 |
| 2 | 6048 | 6346 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6))))) |
(-.f64 4/3 (*.f64 4/3 (cos.f64 x))) |
(-.f64 4/3 (*.f64 4/3 (cos.f64 x))) |
(-.f64 4/3 (*.f64 4/3 (cos.f64 x))) |
(-.f64 4/3 (*.f64 4/3 (cos.f64 x))) |
(-.f64 4/3 (*.f64 4/3 (cos.f64 x))) |
(-.f64 4/3 (*.f64 4/3 (cos.f64 x))) |
(-.f64 4/3 (*.f64 4/3 (cos.f64 x))) |
(-.f64 4/3 (*.f64 4/3 (cos.f64 x))) |
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x)) |
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x)) |
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x)) |
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x)) |
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x)) |
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x)) |
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x)) |
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x)) |
4/3 |
(+.f64 4/3 (*.f64 -2/3 (pow.f64 x 2))) |
(+.f64 4/3 (+.f64 (*.f64 1/18 (pow.f64 x 4)) (*.f64 -2/3 (pow.f64 x 2)))) |
(+.f64 4/3 (+.f64 (*.f64 -1/540 (pow.f64 x 6)) (+.f64 (*.f64 1/18 (pow.f64 x 4)) (*.f64 -2/3 (pow.f64 x 2))))) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 4/3 (cos.f64 x)) |
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) |
(+.f64 (*.f64 (cos.f64 x) -4/3) 4/3) |
(+.f64 (-.f64 4/3 (exp.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))) 1) |
(*.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 1) |
(*.f64 1 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) |
(*.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))) |
(*.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))) |
(*.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) |
(*.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (/.f64 1 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))) |
(*.f64 (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))) (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) |
(*.f64 (/.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) |
(*.f64 (/.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (+.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (+.f64 16/9 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (-.f64 256/81 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x)))))) (-.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (*.f64 16/9 (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (+.f64 4096/729 (pow.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) 3))) (-.f64 (+.f64 256/81 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))))) (*.f64 16/9 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x)))))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 1) |
(/.f64 1 (/.f64 1 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))) |
(/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (/.f64 1 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))) |
(/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) (/.f64 1 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))) |
(/.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) |
(/.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))) |
(/.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))) |
(/.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (/.f64 1 (/.f64 1 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))))) |
(/.f64 (sqrt.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (/.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)) (sqrt.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))))) |
(/.f64 (sqrt.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (/.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (cbrt.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)))) (/.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)) (cbrt.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (cbrt.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)))) (/.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (cbrt.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))))) |
(/.f64 (neg.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) |
(/.f64 (neg.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (*.f64 1 (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (neg.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))) |
(/.f64 (neg.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (*.f64 1 (neg.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))))) |
(/.f64 (-.f64 16/9 (*.f64 (*.f64 (cos.f64 x) -4/3) (*.f64 (cos.f64 x) -4/3))) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) |
(/.f64 (-.f64 4096/729 (*.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (*.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)) (+.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)))) |
(/.f64 (-.f64 256/81 (/.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) (/.f64 3/4 (cos.f64 x)))) (*.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))) |
(/.f64 (+.f64 64/27 (pow.f64 (*.f64 (cos.f64 x) -4/3) 3)) (+.f64 16/9 (-.f64 (*.f64 (*.f64 (cos.f64 x) -4/3) (*.f64 (cos.f64 x) -4/3)) (*.f64 4/3 (*.f64 (cos.f64 x) -4/3))))) |
(/.f64 (+.f64 64/27 (pow.f64 (*.f64 (cos.f64 x) -4/3) 3)) (*.f64 1 (+.f64 16/9 (-.f64 (*.f64 (*.f64 (cos.f64 x) -4/3) (*.f64 (cos.f64 x) -4/3)) (*.f64 4/3 (*.f64 (cos.f64 x) -4/3)))))) |
(/.f64 (-.f64 262144/19683 (pow.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) 3)) (*.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)) (+.f64 4096/729 (+.f64 (*.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (*.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)))))) |
(/.f64 (-.f64 4096/729 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 3)) (*.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (+.f64 256/81 (+.f64 (/.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) (/.f64 3/4 (cos.f64 x))) (*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) 1) (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) 1) (neg.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))) |
(/.f64 (*.f64 (-.f64 16/9 (*.f64 (*.f64 (cos.f64 x) -4/3) (*.f64 (cos.f64 x) -4/3))) 1) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) |
(/.f64 (*.f64 (+.f64 64/27 (pow.f64 (*.f64 (cos.f64 x) -4/3) 3)) 1) (+.f64 16/9 (-.f64 (*.f64 (*.f64 (cos.f64 x) -4/3) (*.f64 (cos.f64 x) -4/3)) (*.f64 4/3 (*.f64 (cos.f64 x) -4/3))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))) (sqrt.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))) (sqrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2)) (cbrt.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2)) (cbrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) |
(/.f64 (*.f64 (-.f64 256/81 (/.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) (/.f64 3/4 (cos.f64 x)))) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)) |
(/.f64 (*.f64 (-.f64 4096/729 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 3)) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) (+.f64 256/81 (+.f64 (/.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) (/.f64 3/4 (cos.f64 x))) (*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))) |
(/.f64 (*.f64 (-.f64 4096/729 (*.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (/.f64 1 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))) (+.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) |
(/.f64 (*.f64 (-.f64 262144/19683 (pow.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) 3)) (/.f64 1 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))) (+.f64 4096/729 (+.f64 (*.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (*.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))))) |
(/.f64 (/.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) 1) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (sqrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) (sqrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (*.f64 (cbrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (cbrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))) (cbrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (+.f64 (cos.f64 x) 1)) 4/3) |
(/.f64 (/.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) 1) (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))) |
(/.f64 (/.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (sqrt.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))) (sqrt.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))) |
(/.f64 (/.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))) (cbrt.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))))) (cbrt.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))) |
(pow.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 1) |
(pow.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) |
(pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 3) |
(pow.f64 (pow.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 2)) |
(log.f64 (exp.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))) |
(cbrt.f64 (pow.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 3)) |
(expm1.f64 (log.f64 (+.f64 7/3 (*.f64 (cos.f64 x) -4/3)))) |
(exp.f64 (log.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))) |
(log1p.f64 (expm1.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))) |
(+.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4/3))) |
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 1 (neg.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4/3)))) |
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (cos.f64 x) -4/3))) |
(+.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4/3)) (/.f64 4/3 (sin.f64 x))) |
(+.f64 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (cos.f64 x) -4/3)) (/.f64 4/3 (sin.f64 x))) |
(-.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4/3)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)))) 1) |
(*.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 1) |
(*.f64 1 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) (sqrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)))) |
(*.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (*.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) (*.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) |
(*.f64 (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))) (/.f64 -1 (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (/.f64 1 (sin.f64 x))) (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (/.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2)) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 -4/3 (*.f64 4/3 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 1) (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sin.f64 x)) (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sin.f64 x)) (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 1)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) (sin.f64 x)) (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2))) (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))) |
(*.f64 (/.f64 (*.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (sin.f64 x))) (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) |
(*.f64 (/.f64 (*.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (sin.f64 x))) (+.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (+.f64 16/9 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (-.f64 256/81 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x)))))) (-.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (*.f64 16/9 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (+.f64 4096/729 (pow.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) 3))) (-.f64 (+.f64 256/81 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))))) (*.f64 16/9 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 4/3 (sin.f64 x)) (*.f64 (*.f64 4/3 (cos.f64 x)) (sin.f64 x))) (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2) |
(pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) -1) |
(neg.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x)))) 1) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 (cos.f64 x) 4/3) |
(*.f64 (*.f64 4/3 (cos.f64 x)) 1) |
(*.f64 1 (*.f64 4/3 (cos.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (*.f64 4/3 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 4/3 (sqrt.f64 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2) (cbrt.f64 (*.f64 4/3 (cos.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 4/3 (cbrt.f64 (cos.f64 x)))) |
(*.f64 (neg.f64 (cos.f64 x)) -4/3) |
(*.f64 (*.f64 4/3 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))) |
(*.f64 (*.f64 4/3 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) |
(*.f64 -4/3 (neg.f64 (cos.f64 x))) |
(*.f64 (/.f64 1 (/.f64 3/4 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x))) |
(*.f64 (/.f64 1 (/.f64 3/4 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 3/4) (sqrt.f64 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 3/4) (cbrt.f64 (cos.f64 x))) |
(pow.f64 (*.f64 4/3 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 3) |
(pow.f64 (/.f64 3/4 (cos.f64 x)) -1) |
(pow.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) 1/3) |
(neg.f64 (/.f64 (cos.f64 x) -3/4)) |
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) |
(log.f64 (exp.f64 (*.f64 4/3 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x)))) |
(exp.f64 (log.f64 (*.f64 4/3 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 4/3 (cos.f64 x)))) |
| Outputs |
|---|
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2))) |
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 2/3 (*.f64 x x))) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6)))) |
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (*.f64 1/540 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6))))) |
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 -1/30240 (pow.f64 x 8) (*.f64 1/540 (pow.f64 x 6))))) |
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 1/540 (pow.f64 x 6) (*.f64 -1/30240 (pow.f64 x 8))))) |
(-.f64 4/3 (*.f64 4/3 (cos.f64 x))) |
(fma.f64 (cos.f64 x) -4/3 4/3) |
(-.f64 4/3 (*.f64 4/3 (cos.f64 x))) |
(fma.f64 (cos.f64 x) -4/3 4/3) |
(-.f64 4/3 (*.f64 4/3 (cos.f64 x))) |
(fma.f64 (cos.f64 x) -4/3 4/3) |
(-.f64 4/3 (*.f64 4/3 (cos.f64 x))) |
(fma.f64 (cos.f64 x) -4/3 4/3) |
(-.f64 4/3 (*.f64 4/3 (cos.f64 x))) |
(fma.f64 (cos.f64 x) -4/3 4/3) |
(-.f64 4/3 (*.f64 4/3 (cos.f64 x))) |
(fma.f64 (cos.f64 x) -4/3 4/3) |
(-.f64 4/3 (*.f64 4/3 (cos.f64 x))) |
(fma.f64 (cos.f64 x) -4/3 4/3) |
(-.f64 4/3 (*.f64 4/3 (cos.f64 x))) |
(fma.f64 (cos.f64 x) -4/3 4/3) |
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))) |
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(*.f64 (-.f64 16/9 (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 16/9) 16/9))) (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (*.f64 (-.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 16/9) 16/9)) (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 16/9) 16/9)))) (sin.f64 x)))) |
(*.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) -16/9) 16/9))) (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (*.f64 (-.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 256/81) 256/81)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (+.f64 4096/729 (pow.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) 3))) (-.f64 (+.f64 256/81 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))))) (*.f64 16/9 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x)))))) |
(*.f64 (+.f64 256/81 (-.f64 (*.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (*.f64 (cos.f64 x) 16/9)) (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (*.f64 (cos.f64 x) 16/9))) (*.f64 16/9 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (*.f64 (cos.f64 x) 16/9))))) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (+.f64 4096/729 (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (*.f64 (cos.f64 x) 16/9)) 3)) (-.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3)))))) |
(*.f64 (+.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 16/9) 16/9)) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 16/9) 16/9)) 16/9))) (/.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (sin.f64 x)) (+.f64 4096/729 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 16/9) 16/9)) 3)))) |
(*.f64 (+.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (+.f64 16/9 (*.f64 (cos.f64 x) 16/9))) (-.f64 (*.f64 (cos.f64 x) (+.f64 16/9 (*.f64 (cos.f64 x) 16/9))) 16/9))) (/.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (sin.f64 x)) (+.f64 4096/729 (pow.f64 (*.f64 (cos.f64 x) (+.f64 16/9 (*.f64 (cos.f64 x) 16/9))) 3)))) |
(*.f64 (/.f64 (-.f64 (*.f64 4/3 (sin.f64 x)) (*.f64 (*.f64 4/3 (cos.f64 x)) (sin.f64 x))) (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2) |
(*.f64 2 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3)) (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2)) (-.f64 1 (cos.f64 (+.f64 x x)))) |
(pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 1) |
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) 2) |
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) 3) |
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 3) 1/3) |
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(pow.f64 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) -1) |
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(neg.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (neg.f64 (sin.f64 x))) |
(/.f64 (fma.f64 4/3 (cos.f64 x) -4/3) (neg.f64 (sin.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2)) |
(fabs.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) |
(log.f64 (exp.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)))) |
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))) |
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 3)) |
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)))) |
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(exp.f64 (log.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)))) |
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)))) |
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x)))) 1) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 (cos.f64 x) 4/3) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 (*.f64 4/3 (cos.f64 x)) 1) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 1 (*.f64 4/3 (cos.f64 x))) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (*.f64 4/3 (cos.f64 x)))) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 4/3 (sqrt.f64 (cos.f64 x)))) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2)) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2) (cbrt.f64 (*.f64 4/3 (cos.f64 x)))) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 4/3 (cbrt.f64 (cos.f64 x)))) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 (neg.f64 (cos.f64 x)) -4/3) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 (*.f64 4/3 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 (*.f64 4/3 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 -4/3 (neg.f64 (cos.f64 x))) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 (/.f64 1 (/.f64 3/4 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x))) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 (/.f64 1 (/.f64 3/4 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x))) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 3/4) (sqrt.f64 (cos.f64 x))) |
(*.f64 4/3 (cos.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 3/4) (cbrt.f64 (cos.f64 x))) |
(*.f64 4/3 (cos.f64 x)) |
(pow.f64 (*.f64 4/3 (cos.f64 x)) 1) |
(*.f64 4/3 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) 2) |
(*.f64 4/3 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 3) |
(*.f64 4/3 (cos.f64 x)) |
(pow.f64 (/.f64 3/4 (cos.f64 x)) -1) |
(*.f64 4/3 (cos.f64 x)) |
(pow.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) 1/3) |
(*.f64 4/3 (cos.f64 x)) |
(neg.f64 (/.f64 (cos.f64 x) -3/4)) |
(/.f64 (neg.f64 (cos.f64 x)) -3/4) |
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) |
(sqrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2))) |
(fabs.f64 (*.f64 (cos.f64 x) -4/3)) |
(log.f64 (exp.f64 (*.f64 4/3 (cos.f64 x)))) |
(*.f64 4/3 (cos.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (cos.f64 x))))) |
(*.f64 4/3 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) |
(*.f64 4/3 (cos.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x)))) |
(*.f64 4/3 (cos.f64 x)) |
(exp.f64 (log.f64 (*.f64 4/3 (cos.f64 x)))) |
(*.f64 4/3 (cos.f64 x)) |
(log1p.f64 (expm1.f64 (*.f64 4/3 (cos.f64 x)))) |
(*.f64 4/3 (cos.f64 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.23% | (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
| ✓ | 0.27% | (/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
| ✓ | 0.6% | (/.f64 8/3 (sin.f64 x)) |
| ✓ | 1.61% | (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
Compiled 45 to 30 computations (33.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
| 1.0ms | x | @ | inf | (/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
| 1.0ms | x | @ | -inf | (/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
| 0.0ms | x | @ | inf | (/.f64 8/3 (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 1722× | associate-/r* |
| 1174× | associate-/l* |
| 882× | associate-/r/ |
| 604× | associate-/l/ |
| 324× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 90 |
| 1 | 324 | 72 |
| 2 | 4147 | 72 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
(/.f64 8/3 (sin.f64 x)) |
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
(/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1/4 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))) (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -1/2 (cos.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) 1) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))) 1) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 -1)) (sqrt.f64 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 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| 1× | egg-herbie |
| 1216× | associate-*r* |
| 1088× | associate-*l* |
| 852× | associate-/l* |
| 674× | times-frac |
| 654× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 633 | 11528 |
| 1 | 1691 | 10680 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/4 (pow.f64 x 2)) |
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4))) |
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))) |
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))) |
(/.f64 8/3 x) |
(+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) |
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x)))) |
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 31/5670 (pow.f64 x 5)) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x))))) |
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(/.f64 4 (pow.f64 x 2)) |
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/3 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/60 (pow.f64 x 2)))) |
(+.f64 1/3 (+.f64 (*.f64 1/1512 (pow.f64 x 4)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/60 (pow.f64 x 2))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))) 1/2) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1) |
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(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(*.f64 (/.f64 1 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2)) 1) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1)) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (neg.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(*.f64 (/.f64 1 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) 1/4)) (-.f64 (*.f64 -1/2 (cos.f64 x)) 1/2)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (sqrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(*.f64 (/.f64 -1 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))))) |
(*.f64 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/16 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (+.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/64 (pow.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1/16 (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))))) |
(*.f64 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))) (-.f64 1/64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8) (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) |
(*.f64 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))) (+.f64 1/512 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8) 3))) (-.f64 (+.f64 1/64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8) (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (*.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) |
(pow.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1) |
(pow.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3)) 1/3) |
(pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1) |
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2)) |
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
| Outputs |
|---|
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (*.f64 x x)) |
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4))) |
(fma.f64 1/4 (*.f64 x x) (*.f64 -1/48 (pow.f64 x 4))) |
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))) |
(fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 -1/48 (pow.f64 x 4)))) |
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))) |
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 -1/48 (pow.f64 x 4))))) |
(/.f64 8/3 x) |
(+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) |
(fma.f64 4/9 x (/.f64 8/3 x)) |
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x)))) |
(fma.f64 4/9 x (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x))) |
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 31/5670 (pow.f64 x 5)) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x))))) |
(fma.f64 4/9 x (fma.f64 31/5670 (pow.f64 x 5) (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x)))) |
(*.f64 2/3 x) |
(*.f64 x 2/3) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180)))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 (/.f64 4 x) x) |
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(+.f64 1/3 (/.f64 (/.f64 4 x) x)) |
(+.f64 1/3 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/60 (pow.f64 x 2)))) |
(+.f64 1/3 (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 (*.f64 x x) 1/60))) |
(+.f64 1/3 (+.f64 (/.f64 (/.f64 4 x) x) (*.f64 (*.f64 1/60 x) x))) |
(+.f64 1/3 (+.f64 (*.f64 1/1512 (pow.f64 x 4)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/60 (pow.f64 x 2))))) |
(+.f64 1/3 (fma.f64 1/1512 (pow.f64 x 4) (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 (*.f64 x x) 1/60)))) |
(+.f64 1/3 (fma.f64 1/1512 (pow.f64 x 4) (+.f64 (/.f64 (/.f64 4 x) x) (*.f64 (*.f64 1/60 x) x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))) 1/2) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))) -1/2) |
(+.f64 -1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1/4 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (*.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) -1/4) (fma.f64 -1/2 (cos.f64 x) -1/2)) |
(-.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x))))) 1) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))) -1/2) |
(+.f64 -1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x))))) |
(*.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(*.f64 1 (neg.f64 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))))) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(*.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(*.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (*.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) -1/4) (fma.f64 -1/2 (cos.f64 x) -1/2)) |
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 1) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))))) |
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (+.f64 1/4 (*.f64 1/4 (cos.f64 x))))) |
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 -1 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x)))) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(*.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (*.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) -1/4) (fma.f64 -1/2 (cos.f64 x) -1/2)) |
(*.f64 (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))) (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) |
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (+.f64 1/4 (*.f64 1/4 (cos.f64 x))))) |
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) 1) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))) 1) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 -1)) (sqrt.f64 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 -1)) (sqrt.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) -1) (cbrt.f64 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) -1) (cbrt.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (/.f64 -1 (cbrt.f64 (neg.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))))) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (+.f64 1/4 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1/4)))) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) |
(*.f64 (/.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)) (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 x) 3)))) (+.f64 1/4 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1/4)))) |
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(fma.f64 -1/2 (cos.f64 x) 1/2) |
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(pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 1) |
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(exp.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(exp.f64 (neg.f64 (neg.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1)) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(fma.f64 (cos.f64 x) -1/2 1/2) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(fma.f64 1 (*.f64 -1/2 (cos.f64 x)) 1/2) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(fma.f64 (sqrt.f64 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (*.f64 -1/2 (cos.f64 x))) 1/2) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (cos.f64 x))) 2) (cbrt.f64 (*.f64 -1/2 (cos.f64 x))) 1/2) |
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(/.f64 8/3 (sin.f64 x)) |
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(pow.f64 (/.f64 8/3 (sin.f64 x)) 1) |
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(pow.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) 2) |
(/.f64 8/3 (sin.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3) |
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(pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) 1/3) |
(/.f64 8/3 (sin.f64 x)) |
(pow.f64 (*.f64 (sin.f64 x) 3/8) -1) |
(/.f64 8/3 (sin.f64 x)) |
(sqrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) |
(log.f64 (exp.f64 (/.f64 8/3 (sin.f64 x)))) |
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (sin.f64 x))))) |
(/.f64 8/3 (sin.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)) |
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(expm1.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x)))) |
(/.f64 8/3 (sin.f64 x)) |
(exp.f64 (log.f64 (/.f64 8/3 (sin.f64 x)))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1)) |
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(log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x)))) |
(/.f64 8/3 (sin.f64 x)) |
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(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
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(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))) 1) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (neg.f64 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))))) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
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(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
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(*.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 1) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
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(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
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(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
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(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
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(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
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(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
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(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
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(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
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(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(*.f64 1 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(*.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1) |
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(*.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2)) |
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(*.f64 -1 (/.f64 -1 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(*.f64 (/.f64 -1 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1) |
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) -1/2) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) -1/4)) |
(*.f64 (/.f64 1 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))) |
(/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (+.f64 1/4 (*.f64 1/4 (cos.f64 x)))) (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) |
(/.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2)) 1) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1)) |
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1)) |
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (neg.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) -1/2) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) -1/4)) |
(*.f64 (/.f64 1 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))))) |
(/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (+.f64 1/4 (*.f64 1/4 (cos.f64 x)))) (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) |
(/.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) 1/4)) (-.f64 (*.f64 -1/2 (cos.f64 x)) 1/2)) |
(/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) -1/2) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) -1/4)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (sqrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(*.f64 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (sqrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (sqrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) 1/2))) (sqrt.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))))) |
(*.f64 (sqrt.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (+.f64 1/4 (*.f64 1/4 (cos.f64 x))))) (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))))) |
(*.f64 (sqrt.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) -1/2) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) -1/4)) |
(*.f64 (/.f64 -1 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))) |
(/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (+.f64 1/4 (*.f64 1/4 (cos.f64 x)))) (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) |
(/.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -2) (/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4))) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) 1/2)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))))) |
(*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (+.f64 1/4 (*.f64 1/4 (cos.f64 x))))) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)))) |
(*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -2) (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))))) |
(*.f64 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/16 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (+.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (+.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/16 (*.f64 (*.f64 1/16 (pow.f64 (cos.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (+.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (+.f64 (cos.f64 x) 1) 1/2) (+.f64 1/16 (*.f64 -1/16 (pow.f64 (cos.f64 x) 4))))) |
(*.f64 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/64 (pow.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1/16 (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))))) |
(*.f64 (+.f64 1/16 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (+.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/64 (*.f64 1/64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))))) |
(*.f64 (+.f64 1/16 (*.f64 1/16 (+.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (+.f64 (cos.f64 x) 1) 1/2) (+.f64 1/64 (*.f64 -1/64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))))) |
(*.f64 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))) (-.f64 1/64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8) (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) |
(*.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (+.f64 1/4 (*.f64 1/4 (cos.f64 x)))) (-.f64 1/64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) 1/64)))) |
(*.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (+.f64 1/64 (*.f64 (pow.f64 (cos.f64 x) 6) -1/64)))) |
(*.f64 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))) (+.f64 1/512 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8) 3))) (-.f64 (+.f64 1/64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8) (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (*.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) |
(*.f64 (+.f64 1/64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) 1/64) (*.f64 (*.f64 1/8 (pow.f64 (cos.f64 x) 3)) -1/8))) (/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (+.f64 1/4 (*.f64 1/4 (cos.f64 x)))) (+.f64 1/512 (*.f64 (pow.f64 (pow.f64 (cos.f64 x) 3) 3) -1/512)))) |
(*.f64 (+.f64 1/64 (-.f64 (*.f64 1/64 (pow.f64 (cos.f64 x) 6)) (*.f64 (pow.f64 (cos.f64 x) 3) -1/64))) (/.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (+.f64 1/512 (*.f64 (pow.f64 (pow.f64 (cos.f64 x) 3) 3) -1/512)))) |
(pow.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1) |
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(pow.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) 2) |
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 3) |
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3)) 1/3) |
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3))) |
(pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1) |
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2)) |
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))) |
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1)) |
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1)) |
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.33% | (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
| ✓ | 0.44% | (/.f64 1 (/.f64 (sin.f64 x) 8/3)) |
| ✓ | 0.63% | (/.f64 (sin.f64 x) 8/3) |
| ✓ | 20.57% | (*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
Compiled 44 to 32 computations (27.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (sin.f64 x) 8/3) |
| 0.0ms | x | @ | -inf | (/.f64 (sin.f64 x) 8/3) |
| 0.0ms | x | @ | 0 | (/.f64 (sin.f64 x) 8/3) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
| 1× | batch-egg-rewrite |
| 1244× | associate-*r/ |
| 1006× | associate-*l/ |
| 844× | associate-/r* |
| 630× | associate-/l* |
| 402× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 78 |
| 1 | 311 | 72 |
| 2 | 3573 | 72 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(/.f64 (sin.f64 x) 8/3) |
(/.f64 1 (/.f64 (sin.f64 x) 8/3)) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -8/3 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) -8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) -1) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) -1) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) 1) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) 1) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (cbrt.f64 (sin.f64 x))) (cbrt.f64 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (neg.f64 (sin.f64 x)))) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 -8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (neg.f64 (sin.f64 x)))) -8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 -8/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) 3/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8/3 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 x)) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) |
| 1× | egg-herbie |
| 1396× | associate-/l* |
| 1254× | times-frac |
| 828× | associate-/r* |
| 790× | associate-/l/ |
| 636× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 615 | 9483 |
| 1 | 1489 | 8963 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 3/8 x) |
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x)) |
(+.f64 (*.f64 1/320 (pow.f64 x 5)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x))) |
(+.f64 (*.f64 1/320 (pow.f64 x 5)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 -1/13440 (pow.f64 x 7)) (*.f64 3/8 x)))) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 3/8 (sin.f64 x)) |
(/.f64 8/3 x) |
(+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) |
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x)))) |
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 31/5670 (pow.f64 x 5)) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x))))) |
(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
(*.f64 1/4 (pow.f64 x 2)) |
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4))) |
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))) |
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1) |
(/.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3/8))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8)) |
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(/.f64 (*.f64 1 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3/8)) (sin.f64 x)) |
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(/.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 1) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(/.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 3/8)) |
(/.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) (sqrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) 1) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (cbrt.f64 (sin.f64 x))) (cbrt.f64 3/8)) |
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)))) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1) (*.f64 (sin.f64 x) -3/8)) |
(/.f64 (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)) -3/8) |
(/.f64 (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) -1) (*.f64 (sin.f64 x) 3/8)) |
(/.f64 (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))) 3/8) |
(/.f64 (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.f64 (*.f64 (sin.f64 x) -3/8))) (sqrt.f64 (*.f64 (sin.f64 x) -3/8))) |
(/.f64 (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) -3/8)) (cbrt.f64 (*.f64 (sin.f64 x) -3/8)))) (cbrt.f64 (*.f64 (sin.f64 x) -3/8))) |
(/.f64 (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(/.f64 (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1) |
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) |
(log.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(exp.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1) |
(*.f64 1 (*.f64 (sin.f64 x) 3/8)) |
(*.f64 (sin.f64 x) 3/8) |
(*.f64 (*.f64 (sin.f64 x) 3/8) 1) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) 3/8)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) 3/8)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 -1 (*.f64 (sin.f64 x) -3/8)) |
(*.f64 (neg.f64 (sin.f64 x)) -3/8) |
(*.f64 -3/8 (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) 1) 3/8) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 1) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) 1) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(*.f64 (/.f64 1 (/.f64 8/3 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 8/3) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (sqrt.f64 -1)) (sqrt.f64 (*.f64 (sin.f64 x) -3/8))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) -1) (cbrt.f64 (*.f64 (sin.f64 x) -3/8))) |
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1) |
(pow.f64 (/.f64 8/3 (sin.f64 x)) -1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3) |
(neg.f64 (*.f64 (sin.f64 x) -3/8)) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x)))) 1) |
(*.f64 1 (/.f64 8/3 (sin.f64 x))) |
(*.f64 8/3 (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) 1) |
(*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) 8/3) |
(*.f64 -1 (/.f64 -8/3 (sin.f64 x))) |
(*.f64 -1 (neg.f64 (/.f64 8/3 (sin.f64 x)))) |
(*.f64 (/.f64 -8/3 (sin.f64 x)) -1) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 -1 (sin.f64 x)) -8/3) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) -1) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) -1) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) -1)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) 1) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) 1) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (cbrt.f64 (sin.f64 x))) (cbrt.f64 8/3)) |
(*.f64 (/.f64 1 (neg.f64 (neg.f64 (sin.f64 x)))) 8/3) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 -8/3)) |
(*.f64 (/.f64 -1 (neg.f64 (neg.f64 (sin.f64 x)))) -8/3) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 -8/3)) |
(pow.f64 (*.f64 (sin.f64 x) 3/8) -1) |
(pow.f64 (/.f64 8/3 (sin.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) -2)) |
(log.f64 (exp.f64 (/.f64 8/3 (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 8/3 (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) -1)) |
(exp.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x)))) |
(-.f64 1/2 (*.f64 1/2 (cos.f64 x))) |
(-.f64 (exp.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 x))))) 1) |
(*.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) |
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) |
(/.f64 1 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 x)) 2) |
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 x))) 2) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 x)) 1) 2) |
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) |
(log.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3)) |
(expm1.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 x))))) |
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))))) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
| Outputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 3/8 x) |
(*.f64 x 3/8) |
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(fma.f64 -1/16 (pow.f64 x 3) (*.f64 x 3/8)) |
(fma.f64 x 3/8 (*.f64 (pow.f64 x 3) -1/16)) |
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(fma.f64 1/320 (pow.f64 x 5) (fma.f64 -1/16 (pow.f64 x 3) (*.f64 x 3/8))) |
(fma.f64 (pow.f64 x 5) 1/320 (fma.f64 x 3/8 (*.f64 (pow.f64 x 3) -1/16))) |
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(fma.f64 1/320 (pow.f64 x 5) (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 -1/13440 (pow.f64 x 7) (*.f64 x 3/8)))) |
(fma.f64 (pow.f64 x 5) 1/320 (fma.f64 (pow.f64 x 3) -1/16 (fma.f64 x 3/8 (*.f64 (pow.f64 x 7) -1/13440)))) |
(*.f64 3/8 (sin.f64 x)) |
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(*.f64 (sin.f64 x) 3/8) |
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(*.f64 (sin.f64 x) 3/8) |
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(*.f64 (sin.f64 x) 3/8) |
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(*.f64 (sin.f64 x) 3/8) |
(/.f64 8/3 x) |
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(fma.f64 x 4/9 (/.f64 8/3 x)) |
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(fma.f64 4/9 x (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x))) |
(fma.f64 x 4/9 (fma.f64 (pow.f64 x 3) 7/135 (/.f64 8/3 x))) |
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(fma.f64 4/9 x (fma.f64 31/5670 (pow.f64 x 5) (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x)))) |
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(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
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(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
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(fma.f64 1/4 (*.f64 x x) (*.f64 -1/48 (pow.f64 x 4))) |
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(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (*.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (*.f64 1/1440 (pow.f64 x 6))))) |
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(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
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(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (sin.f64 x) 3/8) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8) |
(/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (*.f64 (sin.f64 x) 3/8) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) |
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(*.f64 8/3 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (*.f64 (sin.f64 x) 3/8) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (sin.f64 x) 3/8)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) |
(*.f64 8/3 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))) |
(/.f64 -1 (/.f64 (*.f64 (sin.f64 x) -3/8) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))) |
(*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3/8))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3/8))) |
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) (/.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3/8))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) |
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) 3/8)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (*.f64 (sin.f64 x) 3/8) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
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(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 (*.f64 (sin.f64 x) 3/8) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8) |
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(*.f64 (/.f64 (*.f64 1/2 (-.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2)) |
(/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) -1) (*.f64 (sin.f64 x) -3/8)) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
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(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
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(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
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(/.f64 (*.f64 1/2 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2)))) |
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(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3/8) (sin.f64 x)) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) |
(/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) |
(/.f64 (*.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2)) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))) |
(/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (*.f64 (sin.f64 x) -3/8)) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 3/8) 2)) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 1 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) -1)) (*.f64 (sin.f64 x) -3/8)) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 1 (*.f64 -1 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (*.f64 (sin.f64 x) -3/8)) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 3/8) |
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(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
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(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 x) 3/8)) |
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8) |
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3/8) |
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8) |
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) |
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(*.f64 8/3 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) 3/8) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (sin.f64 x) 3/8)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) |
(*.f64 8/3 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (sin.f64 x) 3/8)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) |
(*.f64 8/3 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) |
(/.f64 (*.f64 -8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (sin.f64 x))) |
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(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
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(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 1) (/.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (sin.f64 x) 3/8)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) |
(*.f64 8/3 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) -1) 1) (*.f64 (sin.f64 x) -3/8)) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (*.f64 -1 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1) (*.f64 (sin.f64 x) -3/8)) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 1) 3/8) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 1) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) |
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(/.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) 1) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)))) |
(/.f64 (*.f64 1/2 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1) (*.f64 (sin.f64 x) -3/8)) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) 2)) |
(/.f64 (*.f64 1 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (sin.f64 x)) |
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(/.f64 (*.f64 1 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (/.f64 (sin.f64 x) 1)) |
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(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
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(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3/8)) (sin.f64 x)) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) -1) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) 1) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) |
(/.f64 8/3 (sin.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) 1) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) |
(/.f64 8/3 (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (cbrt.f64 (sin.f64 x))) (cbrt.f64 8/3)) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 8/3))) |
(*.f64 (/.f64 1 (neg.f64 (neg.f64 (sin.f64 x)))) 8/3) |
(/.f64 8/3 (sin.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 -8/3)) |
(*.f64 (/.f64 -1 (neg.f64 (neg.f64 (sin.f64 x)))) -8/3) |
(/.f64 8/3 (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 -8/3)) |
(pow.f64 (*.f64 (sin.f64 x) 3/8) -1) |
(/.f64 8/3 (sin.f64 x)) |
(pow.f64 (/.f64 8/3 (sin.f64 x)) 1) |
(/.f64 8/3 (sin.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) 2) |
(/.f64 8/3 (sin.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3) |
(/.f64 8/3 (sin.f64 x)) |
(pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) 1/3) |
(/.f64 8/3 (sin.f64 x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) -2)) |
(fabs.f64 (/.f64 8/3 (sin.f64 x))) |
(log.f64 (exp.f64 (/.f64 8/3 (sin.f64 x)))) |
(/.f64 8/3 (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (sin.f64 x))))) |
(/.f64 8/3 (sin.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)) |
(/.f64 8/3 (sin.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x)))) |
(/.f64 8/3 (sin.f64 x)) |
(exp.f64 (log.f64 (/.f64 8/3 (sin.f64 x)))) |
(/.f64 8/3 (sin.f64 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) -1)) |
(/.f64 8/3 (sin.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1)) |
(/.f64 8/3 (sin.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x)))) |
(/.f64 8/3 (sin.f64 x)) |
(-.f64 1/2 (*.f64 1/2 (cos.f64 x))) |
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
(*.f64 1/2 (-.f64 1 (cos.f64 x))) |
(-.f64 (exp.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 x))))) 1) |
(+.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x))) -1) |
(+.f64 3/2 (-.f64 (*.f64 (cos.f64 x) -1/2) 1)) |
(*.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
(*.f64 1/2 (-.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1) |
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
(*.f64 1/2 (-.f64 1 (cos.f64 x))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) |
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(/.f64 1 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
(*.f64 1/2 (-.f64 1 (cos.f64 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1) |
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
(*.f64 1/2 (-.f64 1 (cos.f64 x))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 x)) 2) |
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
(*.f64 1/2 (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 x))) 2) |
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
(*.f64 1/2 (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 x)) 1) 2) |
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
(*.f64 1/2 (-.f64 1 (cos.f64 x))) |
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) |
(log.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
(*.f64 1/2 (-.f64 1 (cos.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
(*.f64 1/2 (-.f64 1 (cos.f64 x))) |
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3)) |
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
(*.f64 1/2 (-.f64 1 (cos.f64 x))) |
(expm1.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 x))))) |
(+.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x))) -1) |
(+.f64 3/2 (-.f64 (*.f64 (cos.f64 x) -1/2) 1)) |
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))))) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1)) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
(*.f64 1/2 (-.f64 1 (cos.f64 x))) |
Compiled 29740 to 21497 computations (27.7% saved)
18 alts after pruning (15 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1324 | 10 | 1334 |
| Fresh | 7 | 5 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 3 | 4 |
| Total | 1333 | 18 | 1351 |
| Status | Error | Program |
|---|---|---|
| 20.65% | (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8) | |
| ✓ | 46.59% | (/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
| 63.47% | (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 (/.f64 4 x) x))) | |
| ✓ | 46.74% | (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
| 46.47% | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) | |
| 46.52% | (/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 3/8) | |
| 20.64% | (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) (sin.f64 x)) | |
| ▶ | 20.81% | (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
| 45.94% | (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) | |
| 47.94% | (/.f64 (expm1.f64 (log.f64 (+.f64 (*.f64 (cos.f64 x) -4/3) 7/3))) (sin.f64 x)) | |
| 46.53% | (/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) | |
| 46.52% | (/.f64 -1 (/.f64 (*.f64 (sin.f64 x) -3/8) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) | |
| ▶ | 95.03% | (-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
| 0.84% | (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8)) (sin.f64 (*.f64 x 1/2))) | |
| ▶ | 46.53% | (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
| ▶ | 46.55% | (*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
| ▶ | 0.54% | (*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
| ✓ | 49.9% | (*.f64 x 2/3) |
Compiled 378 to 313 computations (17.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (tan.f64 (/.f64 x 2)) |
| ✓ | 0.54% | (*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
Compiled 17 to 13 computations (23.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
| 1.0ms | x | @ | -inf | (*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
| 0.0ms | x | @ | 0 | (*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
| 0.0ms | x | @ | 0 | (tan.f64 (/.f64 x 2)) |
| 0.0ms | x | @ | inf | (tan.f64 (/.f64 x 2)) |
| 1× | batch-egg-rewrite |
| 1740× | add-sqr-sqrt |
| 1706× | *-un-lft-identity |
| 1598× | add-cube-cbrt |
| 1584× | add-cbrt-cube |
| 176× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 189 | 28 |
| 2 | 2152 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(tan.f64 (/.f64 x 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 (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)) 4/3) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))))) |
| 1× | egg-herbie |
| 1458× | fma-def |
| 1216× | associate-+r+ |
| 1148× | associate-+l+ |
| 678× | *-commutative |
| 596× | unswap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 118 | 1297 |
| 1 | 254 | 1297 |
| 2 | 918 | 1297 |
| 3 | 3160 | 1297 |
| 4 | 7754 | 1297 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1) |
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2))) |
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1) |
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3) |
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3) |
(sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) |
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))) |
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) |
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) |
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1) |
(*.f64 (tan.f64 (*.f64 x 1/2)) 1) |
(*.f64 1 (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1) |
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2) |
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3) |
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) |
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2))))) |
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) |
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) |
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) |
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1)) |
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2)))) |
| Outputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7))))) |
(fma.f64 2/3 x (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5))))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(*.f64 1/2 x) |
(*.f64 x 1/2) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/24)) |
(fma.f64 (pow.f64 x 3) 1/24 (*.f64 x 1/2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/24))) |
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 (pow.f64 x 5) 1/240))) |
(fma.f64 x (fma.f64 1/24 (*.f64 x x) 1/2) (*.f64 (pow.f64 x 5) 1/240)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))) |
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/24)))) |
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 5) 1/240 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 (pow.f64 x 7) 17/40320)))) |
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (pow.f64 x 5) 1/240 (*.f64 (pow.f64 x 7) 17/40320)))) |
(fma.f64 x (fma.f64 1/24 (*.f64 x x) 1/2) (fma.f64 (pow.f64 x 5) 1/240 (*.f64 (pow.f64 x 7) 17/40320))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2))) |
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3)) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1)) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1) |
(tan.f64 (*.f64 x 1/2)) |
(*.f64 (tan.f64 (*.f64 x 1/2)) 1) |
(tan.f64 (*.f64 x 1/2)) |
(*.f64 1 (tan.f64 (*.f64 x 1/2))) |
(tan.f64 (*.f64 x 1/2)) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(tan.f64 (*.f64 x 1/2)) |
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) |
(tan.f64 (*.f64 x 1/2)) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(tan.f64 (*.f64 x 1/2)) |
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1) |
(tan.f64 (*.f64 x 1/2)) |
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2) |
(tan.f64 (*.f64 x 1/2)) |
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3) |
(tan.f64 (*.f64 x 1/2)) |
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3) |
(tan.f64 (*.f64 x 1/2)) |
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) |
(tan.f64 (*.f64 x 1/2)) |
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) |
(tan.f64 (*.f64 x 1/2)) |
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2))))) |
(tan.f64 (*.f64 x 1/2)) |
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) |
(tan.f64 (*.f64 x 1/2)) |
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) |
(tan.f64 (*.f64 x 1/2)) |
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) |
(tan.f64 (*.f64 x 1/2)) |
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1)) |
(tan.f64 (*.f64 x 1/2)) |
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2)))) |
(tan.f64 (*.f64 x 1/2)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.45% | (*.f64 x 2/3) | |
| ✓ | 5.19% | (-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
Compiled 19 to 15 computations (21.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
| 1× | batch-egg-rewrite |
| 1642× | add-sqr-sqrt |
| 1618× | *-un-lft-identity |
| 1524× | add-cube-cbrt |
| 1514× | add-cbrt-cube |
| 172× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 179 | 7 |
| 2 | 2314 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x 2/3 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 2/3 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x 2/3 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 2/3)) (*.f64 (sqrt.f64 (*.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (*.f64 (cbrt.f64 (*.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (/.f64 1 (+.f64 (*.f64 x 2/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 x 2/3) 2) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (+.f64 (*.f64 x 2/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (-.f64 (fma.f64 x 2/3 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (-.f64 1 (*.f64 (fma.f64 x 2/3 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 8/27) 0) (+.f64 (*.f64 (*.f64 x x) 4/9) (-.f64 0 (*.f64 (*.f64 x 2/3) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x 2/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 8/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 8/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2/3 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 2/3 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (sqrt.f64 (fma.f64 x 2/3 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (cbrt.f64 (fma.f64 x 2/3 1)) -1))))) |
| 1× | egg-herbie |
| 1296× | associate--l+ |
| 1188× | times-frac |
| 888× | distribute-lft-neg-in |
| 714× | associate-+r- |
| 556× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 118 | 911 |
| 1 | 266 | 851 |
| 2 | 891 | 851 |
| 3 | 4867 | 851 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(+.f64 (*.f64 x 2/3) 0) |
(+.f64 1 (fma.f64 x 2/3 -1)) |
(+.f64 (fma.f64 x 2/3 1) -1) |
(+.f64 0 (*.f64 x 2/3)) |
(+.f64 -1 (fma.f64 x 2/3 1)) |
(*.f64 x 2/3) |
(*.f64 2/3 x) |
(*.f64 (*.f64 x 2/3) 1) |
(*.f64 1 (*.f64 x 2/3)) |
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3))) |
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (*.f64 (sqrt.f64 (*.f64 x 2/3)) 1)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3)) |
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (*.f64 (cbrt.f64 (*.f64 x 2/3)) 1)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3)) |
(*.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (/.f64 1 (+.f64 (*.f64 x 2/3) 2))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)))) |
(*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1)) |
(/.f64 1 (/.f64 (+.f64 (*.f64 x 2/3) 2) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (+.f64 (*.f64 x 2/3) 2)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (-.f64 (fma.f64 x 2/3 1) -1)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (-.f64 1 (*.f64 (fma.f64 x 2/3 1) -1)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 8/27) 0) (+.f64 (*.f64 (*.f64 x x) 4/9) (-.f64 0 (*.f64 (*.f64 x 2/3) 0)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x 2/3) 2))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)))) |
(pow.f64 (*.f64 x 2/3) 1) |
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) |
(pow.f64 (*.f64 (pow.f64 x 3) 8/27) 1/3) |
(sqrt.f64 (*.f64 (*.f64 x x) 4/9)) |
(log.f64 (exp.f64 (*.f64 x 2/3))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3)))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) 8/27)) |
(expm1.f64 (log1p.f64 (*.f64 x 2/3))) |
(exp.f64 (log.f64 (*.f64 x 2/3))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x 2/3))) |
(fma.f64 x 2/3 0) |
(fma.f64 2/3 x 0) |
(fma.f64 1 (*.f64 x 2/3) 0) |
(fma.f64 1 (fma.f64 x 2/3 1) -1) |
(fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) 0) |
(fma.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (sqrt.f64 (fma.f64 x 2/3 1)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) 0) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (cbrt.f64 (fma.f64 x 2/3 1)) -1) |
| Outputs |
|---|
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(+.f64 (*.f64 x 2/3) 0) |
(*.f64 2/3 x) |
(+.f64 1 (fma.f64 x 2/3 -1)) |
(*.f64 2/3 x) |
(+.f64 (fma.f64 x 2/3 1) -1) |
(*.f64 2/3 x) |
(+.f64 0 (*.f64 x 2/3)) |
(*.f64 2/3 x) |
(+.f64 -1 (fma.f64 x 2/3 1)) |
(*.f64 2/3 x) |
(*.f64 x 2/3) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 (*.f64 x 2/3) 1) |
(*.f64 2/3 x) |
(*.f64 1 (*.f64 x 2/3)) |
(*.f64 2/3 x) |
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (*.f64 (sqrt.f64 (*.f64 x 2/3)) 1)) |
(*.f64 2/3 x) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3)) |
(*.f64 2/3 x) |
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) |
(*.f64 2/3 x) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (*.f64 (cbrt.f64 (*.f64 x 2/3)) 1)) |
(*.f64 2/3 x) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3)) |
(*.f64 2/3 x) |
(*.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (/.f64 1 (+.f64 (*.f64 x 2/3) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (/.f64 1 (fma.f64 x 2/3 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2)) |
(/.f64 (*.f64 (*.f64 2/3 x) (fma.f64 2/3 x 2)) (fma.f64 2/3 x 2)) |
(*.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 2/3 x 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 2 (fma.f64 2/3 x (pow.f64 (fma.f64 2/3 x 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 2)))) |
(*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 2/3 x) |
(*.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 2/3 x) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1)) |
(*.f64 2/3 x) |
(/.f64 1 (/.f64 (+.f64 (*.f64 x 2/3) 2) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (/.f64 1 (fma.f64 x 2/3 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2)) |
(/.f64 (*.f64 (*.f64 2/3 x) (fma.f64 2/3 x 2)) (fma.f64 2/3 x 2)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 2/3 x 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 2 (fma.f64 2/3 x (pow.f64 (fma.f64 2/3 x 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 2)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (+.f64 (*.f64 x 2/3) 2)) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (/.f64 1 (fma.f64 x 2/3 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2)) |
(/.f64 (*.f64 (*.f64 2/3 x) (fma.f64 2/3 x 2)) (fma.f64 2/3 x 2)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (-.f64 (fma.f64 x 2/3 1) -1)) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (/.f64 1 (fma.f64 x 2/3 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2)) |
(/.f64 (*.f64 (*.f64 2/3 x) (fma.f64 2/3 x 2)) (fma.f64 2/3 x 2)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 2/3 x 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 2 (fma.f64 2/3 x (pow.f64 (fma.f64 2/3 x 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 2)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (-.f64 1 (*.f64 (fma.f64 x 2/3 1) -1)))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 2/3 x 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 2 (fma.f64 2/3 x (pow.f64 (fma.f64 2/3 x 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 2)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
(*.f64 2/3 x) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 8/27) 0) (+.f64 (*.f64 (*.f64 x x) 4/9) (-.f64 0 (*.f64 (*.f64 x 2/3) 0)))) |
(*.f64 2/3 x) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x 2/3) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (/.f64 1 (fma.f64 x 2/3 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2)) |
(/.f64 (*.f64 (*.f64 2/3 x) (fma.f64 2/3 x 2)) (fma.f64 2/3 x 2)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 2/3 x 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 2 (fma.f64 2/3 x (pow.f64 (fma.f64 2/3 x 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 2)))) |
(pow.f64 (*.f64 x 2/3) 1) |
(*.f64 2/3 x) |
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2) |
(*.f64 2/3 x) |
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) |
(*.f64 2/3 x) |
(pow.f64 (*.f64 (pow.f64 x 3) 8/27) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 x 3) 8/27)) |
(sqrt.f64 (*.f64 (*.f64 x x) 4/9)) |
(sqrt.f64 (*.f64 x (*.f64 x 4/9))) |
(log.f64 (exp.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3)))) |
(*.f64 2/3 x) |
(cbrt.f64 (*.f64 (pow.f64 x 3) 8/27)) |
(expm1.f64 (log1p.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(exp.f64 (log.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1)) |
(*.f64 2/3 x) |
(log1p.f64 (expm1.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(fma.f64 x 2/3 0) |
(*.f64 2/3 x) |
(fma.f64 2/3 x 0) |
(*.f64 2/3 x) |
(fma.f64 1 (*.f64 x 2/3) 0) |
(*.f64 2/3 x) |
(fma.f64 1 (fma.f64 x 2/3 1) -1) |
(*.f64 2/3 x) |
(fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) 0) |
(*.f64 2/3 x) |
(fma.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (sqrt.f64 (fma.f64 x 2/3 1)) -1) |
(*.f64 2/3 x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) 0) |
(*.f64 2/3 x) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (cbrt.f64 (fma.f64 x 2/3 1)) -1) |
(*.f64 2/3 x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.29% | (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
| ✓ | 0.6% | (/.f64 4/3 (sin.f64 x)) |
| ✓ | 1.61% | (-.f64 1 (cos.f64 x)) |
Compiled 25 to 14 computations (44% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 4/3 (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 4/3 (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (-.f64 1 (cos.f64 x)) |
| 1× | batch-egg-rewrite |
| 1510× | associate-*r/ |
| 1122× | associate-*l/ |
| 990× | *-commutative |
| 566× | associate-/r* |
| 400× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 49 |
| 1 | 229 | 49 |
| 2 | 2863 | 49 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (cos.f64 x)) |
(/.f64 4/3 (sin.f64 x)) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
| Outputs |
|---|
((#(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 (pow.f64 (sin.f64 x) 2) (/.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) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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 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(-.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (+.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 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.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 1 (cos.f64 x))) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) 1) (neg.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (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 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (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 (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 (-.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 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) (/.f64 1 (+.f64 1 (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 (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.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 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(neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) -1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))))))) |
| 1× | egg-herbie |
| 1430× | associate-*l* |
| 1174× | associate-*r* |
| 1106× | associate-/r* |
| 838× | associate-/l/ |
| 644× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 680 | 13014 |
| 1 | 1914 | 12608 |
| 1× | node limit |
| Inputs |
|---|
(*.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 4/3 x) |
(+.f64 (*.f64 2/9 x) (*.f64 4/3 (/.f64 1 x))) |
(+.f64 (*.f64 7/270 (pow.f64 x 3)) (+.f64 (*.f64 2/9 x) (*.f64 4/3 (/.f64 1 x)))) |
(+.f64 (*.f64 31/11340 (pow.f64 x 5)) (+.f64 (*.f64 7/270 (pow.f64 x 3)) (+.f64 (*.f64 2/9 x) (*.f64 4/3 (/.f64 1 x))))) |
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(+.f64 1 (neg.f64 (cos.f64 x))) |
(+.f64 (neg.f64 (cos.f64 x)) 1) |
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(*.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.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))) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 (sin.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 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 (pow.f64 (sin.f64 x) 2) (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 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x))))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.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 (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 (*.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 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 1 (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 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.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 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (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 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 1 (cos.f64 x)) 2)) |
(/.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 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) (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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (sqrt.f64 (+.f64 1 (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 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (-.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 (neg.f64 (pow.f64 (sin.f64 x) 2)) 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 (sin.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (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 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.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 (-.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 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) (/.f64 1 (+.f64 1 (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 (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (cos.f64 x) 3))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) (+.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (sin.f64 x)))) 1) |
(*.f64 1 (/.f64 4/3 (sin.f64 x))) |
(*.f64 4/3 (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) 1) |
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(*.f64 (/.f64 1 (sin.f64 x)) 4/3) |
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(pow.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3) 1/3) |
(pow.f64 (*.f64 (sin.f64 x) 3/4) -1) |
(sqrt.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 2)) |
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3)) |
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))) 1) |
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(/.f64 4/3 (/.f64 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))) |
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(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x))))) |
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(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (sin.f64 x)) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (/.f64 (sin.f64 x) 1)) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))) |
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(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) 1)) |
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(/.f64 -4/3 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
(/.f64 -4/3 (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) 2))) |
(/.f64 -4/3 (/.f64 (*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (neg.f64 (sin.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (*.f64 (*.f64 (sin.f64 x) 3/4) (+.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 (-.f64 1 (cos.f64 x)) 4/3)) (/.f64 (sin.f64 x) (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (*.f64 (*.f64 (sin.f64 x) 3/4) (+.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 (-.f64 1 (cos.f64 x)) 4/3)) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3))) (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)))) |
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 4/3 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 4/3 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 3/4) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (/.f64 4/3 (sin.f64 x)))) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) |
(/.f64 (*.f64 4/3 (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) (neg.f64 (sin.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) 4/3)) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 4/3)) (cbrt.f64 (sin.f64 x))) |
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 (*.f64 (sin.f64 x) 3/4) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (*.f64 (*.f64 (sin.f64 x) 3/4) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (*.f64 (*.f64 (sin.f64 x) 3/4) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4/3) (*.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) -4/3) (*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (neg.f64 (sin.f64 x)))) |
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(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) 2)) |
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(/.f64 (*.f64 1 (*.f64 4/3 (pow.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 1 (*.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (sin.f64 x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) 4/3))) (sqrt.f64 (sin.f64 x))) |
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(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3))) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) -1) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (/.f64 4/3 (sin.f64 x)))) 1) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) |
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (/.f64 4/3 (sin.f64 x)))) (sqrt.f64 4/3)) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (/.f64 4/3 (sin.f64 x)))) (sqrt.f64 -4/3)) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2)) 1) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))) |
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2)) (cbrt.f64 4/3)) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2)) (cbrt.f64 -4/3)) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (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 (/.f64 4/3 (sqrt.f64 (sin.f64 x))) (-.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (-.f64 1 (cos.f64 x))) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 -1 (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) 3/4))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (/.f64 4/3 (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (/.f64 4/3 (sin.f64 x))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 4/3 (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 4/3 (sin.f64 x))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) 1) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) 1) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 4/3 (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (sin.f64 x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) 4/3)) 1) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 4/3)) 1) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4/3) 1) (*.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) -4/3) 1) (*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) 1) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (/.f64 4/3 (sin.f64 x))))) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) |
(/.f64 (*.f64 (sqrt.f64 4/3) (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (/.f64 4/3 (sin.f64 x))))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 -4/3) (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (/.f64 4/3 (sin.f64 x))))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 4/3 (sin.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (/.f64 4/3 (sin.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) 2)) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 4/3 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (sin.f64 x))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (*.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 (sin.f64 x))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1) (*.f64 (sin.f64 x) 3/4)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) (cbrt.f64 (*.f64 (sin.f64 x) 3/4)))) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) 1) (neg.f64 (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) -1) (sin.f64 x)) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) 1) (+.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.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 (/.f64 4/3 (sin.f64 x)) (-.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 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) 4/3)) 1) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) 4/3)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) 4/3)) (sqrt.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) 4/3)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 4/3)) 1) (cbrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 4/3)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 4/3)) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))) (cbrt.f64 (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 4/3)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 4/3)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) 1) (neg.f64 (sin.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) -1) (sin.f64 x)) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 2)) |
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))) |
| Outputs |
|---|
(*.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 4/3 x) |
(+.f64 (*.f64 2/9 x) (*.f64 4/3 (/.f64 1 x))) |
(fma.f64 2/9 x (/.f64 4/3 x)) |
(+.f64 (*.f64 7/270 (pow.f64 x 3)) (+.f64 (*.f64 2/9 x) (*.f64 4/3 (/.f64 1 x)))) |
(fma.f64 7/270 (pow.f64 x 3) (fma.f64 2/9 x (/.f64 4/3 x))) |
(+.f64 (*.f64 31/11340 (pow.f64 x 5)) (+.f64 (*.f64 7/270 (pow.f64 x 3)) (+.f64 (*.f64 2/9 x) (*.f64 4/3 (/.f64 1 x))))) |
(fma.f64 31/11340 (pow.f64 x 5) (fma.f64 7/270 (pow.f64 x 3) (fma.f64 2/9 x (/.f64 4/3 x)))) |
(*.f64 2/3 x) |
(*.f64 x 2/3) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180)))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(+.f64 1 (neg.f64 (cos.f64 x))) |
(-.f64 1 (cos.f64 x)) |
(+.f64 (neg.f64 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) |
(-.f64 1 (cos.f64 x)) |
(*.f64 1 (-.f64 1 (cos.f64 x))) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (-.f64 1 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(-.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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.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 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (/.f64 (pow.f64 (sin.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 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.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 (pow.f64 (sin.f64 x) 2) (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 (*.f64 (-.f64 1 (pow.f64 (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 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) |
(/.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 (+.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) (+.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.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)))) |
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(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x))) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
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(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) -4/3)) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) -3/4)) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) -1) (sin.f64 x)) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) (*.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 1) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) 2) |
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) 3) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 3) 1/3) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 2)) |
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 3)) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.29% | (*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
| 0.44% | (/.f64 1 (/.f64 (sin.f64 x) 8/3)) | |
| 0.63% | (/.f64 (sin.f64 x) 8/3) | |
| ✓ | 1.61% | (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) |
Compiled 42 to 27 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
| 0.0ms | x | @ | inf | (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1164× | associate-/r* |
| 782× | associate-/l* |
| 642× | associate-/r/ |
| 558× | distribute-rgt-in |
| 514× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 50 |
| 1 | 303 | 50 |
| 2 | 3774 | 50 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1/2 (*.f64 1/2 (cos.f64 x))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (cos.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (*.f64 (cos.f64 x) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1 (*.f64 (*.f64 (cos.f64 x) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (*.f64 (*.f64 (cos.f64 x) -1/2) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) -1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 x) -1/2) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/2 (exp.f64 (log1p.f64 (*.f64 1/2 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) (sqrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))))) (#(struct:change #<rule egg-rr> 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(2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) 3) (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))))))))) |
| 1× | egg-herbie |
| 1620× | associate-/l* |
| 978× | associate-/l/ |
| 844× | associate-/r* |
| 794× | associate-*r* |
| 738× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 586 | 13129 |
| 1 | 1722 | 12605 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/4 (pow.f64 x 2)) |
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4))) |
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))) |
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))) |
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) |
(+.f64 1/2 (*.f64 (*.f64 (cos.f64 x) -1/2) 1)) |
(+.f64 1/2 (*.f64 1 (*.f64 (*.f64 (cos.f64 x) -1/2) 1))) |
(+.f64 1/2 (*.f64 (*.f64 (*.f64 (cos.f64 x) -1/2) 1) 1)) |
(+.f64 (*.f64 (cos.f64 x) -1/2) 1/2) |
(+.f64 (*.f64 (*.f64 (cos.f64 x) -1/2) 1) 1/2) |
(+.f64 (-.f64 1/2 (exp.f64 (log1p.f64 (*.f64 1/2 (cos.f64 x))))) 1) |
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) 1) |
(*.f64 1 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) |
(*.f64 (sqrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) (sqrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))) |
(*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) 2) (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))) |
(*.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(*.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (/.f64 1 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) |
(*.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))) |
(*.f64 (/.f64 1 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) |
(*.f64 (/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4) (*.f64 1/4 (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (-.f64 1/16 (*.f64 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (-.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (+.f64 1/64 (pow.f64 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) 3))) (+.f64 1/16 (-.f64 (*.f64 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (*.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))) |
(/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) 1) |
(/.f64 1 (/.f64 1 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))) |
(/.f64 1 (*.f64 1 (/.f64 1 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))) |
(/.f64 (sqrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))) |
(/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) 2) (/.f64 1 (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))) |
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (/.f64 1 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(/.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(/.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (/.f64 1 (/.f64 1 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))) |
(/.f64 (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))) (/.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))))) |
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))) (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sqrt.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))) (cbrt.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)))) (/.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (cbrt.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))) (cbrt.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)))) (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))))) |
(/.f64 (-.f64 1/4 (*.f64 (*.f64 (cos.f64 x) -1/2) (*.f64 (cos.f64 x) -1/2))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (-.f64 1/64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8) (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))) (*.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)))) |
(/.f64 (-.f64 1/16 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4) (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))) (*.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)))) |
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 x) -1/2) 3)) (-.f64 (+.f64 1/4 (*.f64 (*.f64 (cos.f64 x) -1/2) (*.f64 (cos.f64 x) -1/2))) (*.f64 1/2 (*.f64 (cos.f64 x) -1/2)))) |
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 x) -1/2) 3)) (*.f64 1 (-.f64 (+.f64 1/4 (*.f64 (*.f64 (cos.f64 x) -1/2) (*.f64 (cos.f64 x) -1/2))) (*.f64 1/2 (*.f64 (cos.f64 x) -1/2))))) |
(/.f64 (-.f64 1/512 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8) 3)) (*.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (+.f64 1/64 (+.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8) (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (*.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)))))) |
(/.f64 (-.f64 1/64 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4) 3)) (*.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (+.f64 1/16 (+.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4) (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (*.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)))))) |
(/.f64 (neg.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))) (neg.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(/.f64 (neg.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))) (*.f64 1 (neg.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))) (neg.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))) (*.f64 1 (neg.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))) |
(/.f64 (/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) 1) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(/.f64 (/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
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(/.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) 3/8)) |
(/.f64 (/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (*.f64 (sin.f64 x) 3/8)) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (*.f64 (sin.f64 x) 3/8)) (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) -1) 1) (*.f64 (sin.f64 x) -3/8)) |
(/.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) -1) (sin.f64 x)) -3/8) |
(/.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) -1) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) -1) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) -1) -1) (*.f64 (sin.f64 x) 3/8)) |
(/.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) -1) (neg.f64 (sin.f64 x))) 3/8) |
(/.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) -1) (sqrt.f64 (*.f64 (sin.f64 x) -3/8))) (sqrt.f64 (*.f64 (sin.f64 x) -3/8))) |
(/.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) -1) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) -3/8)) (cbrt.f64 (*.f64 (sin.f64 x) -3/8)))) (cbrt.f64 (*.f64 (sin.f64 x) -3/8))) |
(/.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) -1) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(/.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) -1) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(/.f64 (/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))) 1) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))) (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))) (+.f64 (cos.f64 x) 1)) 1/2) |
(/.f64 (/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))) 1) (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))) (sqrt.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (sqrt.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) |
(/.f64 (/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (cbrt.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))) (cbrt.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (/.f64 8/3 (sin.f64 x))) 1) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (/.f64 8/3 (sin.f64 x))) (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (/.f64 8/3 (sin.f64 x))) (+.f64 (cos.f64 x) 1)) 1/2) |
(/.f64 (/.f64 (*.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (/.f64 8/3 (sin.f64 x))) 1) (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (sqrt.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (/.f64 8/3 (sin.f64 x))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (cbrt.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))) (cbrt.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) |
(/.f64 (/.f64 (+.f64 -1/2 (*.f64 -1 (*.f64 (cos.f64 x) -1/2))) 1) (*.f64 (sin.f64 x) -3/8)) |
(/.f64 (/.f64 (+.f64 -1/2 (*.f64 -1 (*.f64 (cos.f64 x) -1/2))) (sin.f64 x)) -3/8) |
(/.f64 (/.f64 (+.f64 -1/2 (*.f64 -1 (*.f64 (cos.f64 x) -1/2))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (+.f64 -1/2 (*.f64 -1 (*.f64 (cos.f64 x) -1/2))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (+.f64 -1/2 (*.f64 -1 (*.f64 (cos.f64 x) -1/2))) -1) (*.f64 (sin.f64 x) 3/8)) |
(/.f64 (/.f64 (+.f64 -1/2 (*.f64 -1 (*.f64 (cos.f64 x) -1/2))) (neg.f64 (sin.f64 x))) 3/8) |
(/.f64 (/.f64 (+.f64 -1/2 (*.f64 -1 (*.f64 (cos.f64 x) -1/2))) (sqrt.f64 (*.f64 (sin.f64 x) -3/8))) (sqrt.f64 (*.f64 (sin.f64 x) -3/8))) |
(/.f64 (/.f64 (+.f64 -1/2 (*.f64 -1 (*.f64 (cos.f64 x) -1/2))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) -3/8)) (cbrt.f64 (*.f64 (sin.f64 x) -3/8)))) (cbrt.f64 (*.f64 (sin.f64 x) -3/8))) |
(/.f64 (/.f64 (+.f64 -1/2 (*.f64 -1 (*.f64 (cos.f64 x) -1/2))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(/.f64 (/.f64 (+.f64 -1/2 (*.f64 -1 (*.f64 (cos.f64 x) -1/2))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(/.f64 (/.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 1) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(/.f64 (/.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 3/8)) |
(/.f64 (/.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (sqrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) (sqrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) 1) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(/.f64 (/.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 3/8)) |
(/.f64 (/.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) 1) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (*.f64 (sin.f64 x) 3/8)) |
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) -1) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (*.f64 (sin.f64 x) -3/8)) |
(/.f64 (/.f64 (*.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) 1) (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (*.f64 (sin.f64 x) 3/8)) |
(/.f64 (/.f64 (*.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) -1) (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (*.f64 (sin.f64 x) -3/8)) |
(/.f64 (/.f64 (*.f64 -1 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))) (*.f64 (sin.f64 x) -3/8)) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 -1 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))) (*.f64 (sin.f64 x) -3/8)) (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) 1) (*.f64 (sin.f64 x) -3/8)) |
(/.f64 (/.f64 (neg.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) (sin.f64 x)) -3/8) |
(/.f64 (/.f64 (neg.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (neg.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (neg.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) -1) (*.f64 (sin.f64 x) 3/8)) |
(/.f64 (/.f64 (neg.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) (neg.f64 (sin.f64 x))) 3/8) |
(/.f64 (/.f64 (neg.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) (sqrt.f64 (*.f64 (sin.f64 x) -3/8))) (sqrt.f64 (*.f64 (sin.f64 x) -3/8))) |
(/.f64 (/.f64 (neg.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) -3/8)) (cbrt.f64 (*.f64 (sin.f64 x) -3/8)))) (cbrt.f64 (*.f64 (sin.f64 x) -3/8))) |
(/.f64 (/.f64 (neg.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(/.f64 (/.f64 (neg.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2)) |
(log.f64 (pow.f64 (exp.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) (/.f64 8/3 (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) 3) (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))))) |
(exp.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))))) |
| Outputs |
|---|
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (*.f64 x x)) |
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4))) |
(fma.f64 1/4 (*.f64 x x) (*.f64 -1/48 (pow.f64 x 4))) |
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))) |
(fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 -1/48 (pow.f64 x 4)))) |
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))) |
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 -1/48 (pow.f64 x 4))))) |
(*.f64 2/3 x) |
(*.f64 x 2/3) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
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(/.f64 (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) -3/8)) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) -3/8)) (cbrt.f64 (*.f64 (sin.f64 x) -3/8))))) |
(/.f64 (/.f64 (+.f64 (*.f64 1/2 (cos.f64 x)) -1/2) (cbrt.f64 (*.f64 (sin.f64 x) -3/8))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) -3/8)) (cbrt.f64 (*.f64 (sin.f64 x) -3/8)))) |
(/.f64 (/.f64 (neg.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 (neg.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) |
(pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 1) |
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 2) |
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x)))) 2) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 3) |
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 3) 1/3) |
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) (/.f64 8/3 (sin.f64 x)))) |
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))))) |
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 3)) |
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3))) |
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) 3))) |
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) 3) (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 3) (*.f64 (pow.f64 (sin.f64 x) 3) 27/512))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))))) |
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(exp.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))))) |
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 1)) |
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))))) |
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.33% | (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) | |
| ✓ | 0.51% | (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
| ✓ | 20.5% | (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
Compiled 39 to 30 computations (23.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
| 0.0ms | x | @ | inf | (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
| 1× | batch-egg-rewrite |
| 1190× | associate-/r* |
| 986× | associate-/l* |
| 938× | associate-*r/ |
| 782× | associate-*l/ |
| 764× | swap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 56 |
| 1 | 269 | 56 |
| 2 | 3212 | 56 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) -8/3) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 8/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) -8/3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) |
| 1× | egg-herbie |
| 1188× | associate-*r/ |
| 1148× | associate-/l* |
| 966× | *-commutative |
| 904× | distribute-lft-in |
| 874× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 224 | 3462 |
| 1 | 573 | 3366 |
| 2 | 2151 | 3356 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 2/3 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6))))) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) 1) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1 (sin.f64 x))) |
(*.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 1) |
(*.f64 1 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3)))) |
(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (*.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) (cbrt.f64 (/.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(*.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) -8/3) (/.f64 -1 (sin.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (/.f64 (cbrt.f64 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3) |
(*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) -8/3)) |
(*.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sqrt.f64 8/3)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sqrt.f64 8/3))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) |
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 8/3)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) 1) (/.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(*.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (sin.f64 x)) (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(*.f64 (/.f64 8/3 (neg.f64 (sin.f64 x))) (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(*.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))) (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(pow.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 1) |
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) 2) |
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 3) |
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 3) 1/3) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) -1) |
(neg.f64 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(neg.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) -8/3) (sin.f64 x))) |
(neg.f64 (*.f64 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1)) |
(neg.f64 (*.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 -1 (sin.f64 x)))) |
(neg.f64 (*.f64 1 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) |
(sqrt.f64 (/.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) 2))) |
(log.f64 (exp.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) |
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1) |
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x))) 2) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 8/3) 2) |
(pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1) |
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 3) |
(pow.f64 (pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 3) 1/3) |
(neg.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) -8/3)) |
(sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) |
(log.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) |
(cbrt.f64 (pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(exp.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
| Outputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 2/3 (pow.f64 x 2)) |
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(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) (sin.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x))))) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (neg.f64 (sin.f64 x))) (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) |
(/.f64 (*.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))) (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) |
(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) (sin.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x))))) (sin.f64 x))) |
(pow.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 1) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) 2) |
(pow.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3)) 2) |
(pow.f64 (*.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 3) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) |
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 3) 1/3) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) -1) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) |
(neg.f64 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) -8/3) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) |
(neg.f64 (*.f64 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1)) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) |
(neg.f64 (*.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 -1 (sin.f64 x)))) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) |
(neg.f64 (*.f64 1 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) |
(sqrt.f64 (/.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) 2))) |
(sqrt.f64 (*.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (/.f64 64/9 (pow.f64 (sin.f64 x) 2)))) |
(log.f64 (exp.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) |
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 3)) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) |
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) |
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 1)) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) |
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) |
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1) |
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) |
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x))) 2) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 8/3) 2) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) |
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) |
(pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1) |
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) |
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x)))) |
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 3) |
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) |
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x)))) |
(pow.f64 (pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 3) 1/3) |
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) |
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x)))) |
(neg.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) -8/3)) |
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) |
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x)))) |
(sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) |
(log.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) |
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) |
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) |
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x)))) |
(cbrt.f64 (pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 3)) |
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) |
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x)))) |
(expm1.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) |
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x)))) |
(exp.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) |
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1)) |
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) |
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) |
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) |
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x)))) |
Compiled 24456 to 16189 computations (33.8% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1216 | 8 | 1224 |
| Fresh | 7 | 3 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 5 | 7 |
| Total | 1226 | 16 | 1242 |
| Status | Error | Program |
|---|---|---|
| ▶ | 63.47% | (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 (/.f64 4 x) x))) |
| ▶ | 70.48% | (/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
| ✓ | 46.74% | (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
| ▶ | 46.47% | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
| 47.04% | (/.f64 (*.f64 8/3 (+.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x))) -1)) (sin.f64 x)) | |
| 45.94% | (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) | |
| 46.53% | (/.f64 4/3 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) | |
| 0.63% | (/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) | |
| ✓ | 95.03% | (-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
| ✓ | 46.53% | (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
| ▶ | 0.57% | (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
| ▶ | 0.63% | (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))) 4/3) |
| ✓ | 0.54% | (*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
| 50.48% | (*.f64 (exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) 4/3) | |
| ✓ | 49.9% | (*.f64 x 2/3) |
| 57.01% | (sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) |
Compiled 289 to 240 computations (17% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.29% | (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) |
| ✓ | 0.45% | (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
Compiled 32 to 25 computations (21.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) |
| 0.0ms | x | @ | -inf | (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
| 0.0ms | x | @ | 0 | (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) |
| 1× | batch-egg-rewrite |
| 940× | *-commutative |
| 708× | associate-*r/ |
| 636× | unswap-sqr |
| 584× | swap-sqr |
| 512× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 50 |
| 1 | 226 | 50 |
| 2 | 2648 | 50 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(/.f64 4/3 (cos.f64 (*.f64 x 1/2))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 1 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (/.f64 -1 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 4/3 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 (*.f64 x 1/2))) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) (*.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) -1/2) (pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))))) |
| 1× | egg-herbie |
| 1528× | unswap-sqr |
| 978× | distribute-rgt-in |
| 974× | distribute-lft-in |
| 646× | associate-/l* |
| 364× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 334 | 5327 |
| 1 | 800 | 5175 |
| 2 | 3344 | 5165 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
4/3 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 4/3) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (*.f64 5/288 (pow.f64 x 4)))) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (+.f64 (*.f64 5/288 (pow.f64 x 4)) (*.f64 61/34560 (pow.f64 x 6))))) |
(/.f64 4/3 (cos.f64 (*.f64 1/2 x))) |
(/.f64 4/3 (cos.f64 (*.f64 1/2 x))) |
(/.f64 4/3 (cos.f64 (*.f64 1/2 x))) |
(/.f64 4/3 (cos.f64 (*.f64 1/2 x))) |
(/.f64 4/3 (cos.f64 (*.f64 1/2 x))) |
(/.f64 4/3 (cos.f64 (*.f64 1/2 x))) |
(/.f64 4/3 (cos.f64 (*.f64 1/2 x))) |
(/.f64 4/3 (cos.f64 (*.f64 1/2 x))) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) -1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) 1) |
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) |
(/.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 1) |
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 1 (/.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 1)) |
(/.f64 1 (/.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 -4/3 (/.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) |
(/.f64 (*.f64 4/3 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 4/3 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) 3/4) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (/.f64 4/3 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -1) (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4)) |
(/.f64 (*.f64 1 (/.f64 4/3 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 1 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) -1) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) 1) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) |
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) (sqrt.f64 4/3)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) (sqrt.f64 -4/3)) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)) 1) (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) |
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 4/3)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 -4/3)) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 -1 (sin.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4)) |
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) 1) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (/.f64 4/3 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) 1) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) 1) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) |
(/.f64 (*.f64 (sqrt.f64 4/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sqrt.f64 -4/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) |
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) |
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) |
(/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) 1) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) -1) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (/.f64 (/.f64 4/3 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) 1) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (/.f64 (/.f64 4/3 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (/.f64 4/3 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (/.f64 4/3 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) 1) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) 1)) |
(pow.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 3) 1/3) |
(neg.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) |
(exp.f64 (log.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) |
(+.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) -1) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 1) |
(*.f64 4/3 (/.f64 1 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 1) |
(*.f64 1 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) |
(*.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 4/3) |
(*.f64 -4/3 (/.f64 -1 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 4/3 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(*.f64 -1 (/.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4))) |
(*.f64 (/.f64 -1 (cos.f64 (*.f64 x 1/2))) -4/3) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) (*.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3) 1/6)) |
(*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) -1/2) (pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) -1/2)) |
(pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 1) |
(pow.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3) |
(pow.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3) 1/3) |
(pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) -1) |
(sqrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))) |
(log.f64 (exp.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) |
(cbrt.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) |
(exp.f64 (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) |
(log1p.f64 (expm1.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) |
| Outputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
4/3 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 4/3) |
(fma.f64 1/6 (*.f64 x x) 4/3) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (*.f64 5/288 (pow.f64 x 4)))) |
(+.f64 (fma.f64 1/6 (*.f64 x x) 4/3) (*.f64 5/288 (pow.f64 x 4))) |
(fma.f64 1/6 (*.f64 x x) (fma.f64 5/288 (pow.f64 x 4) 4/3)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (+.f64 (*.f64 5/288 (pow.f64 x 4)) (*.f64 61/34560 (pow.f64 x 6))))) |
(+.f64 (fma.f64 1/6 (*.f64 x x) 4/3) (fma.f64 5/288 (pow.f64 x 4) (*.f64 61/34560 (pow.f64 x 6)))) |
(/.f64 4/3 (cos.f64 (*.f64 1/2 x))) |
(/.f64 4/3 (cos.f64 (*.f64 x 1/2))) |
(/.f64 4/3 (cos.f64 (*.f64 1/2 x))) |
(/.f64 4/3 (cos.f64 (*.f64 x 1/2))) |
(/.f64 4/3 (cos.f64 (*.f64 1/2 x))) |
(/.f64 4/3 (cos.f64 (*.f64 x 1/2))) |
(/.f64 4/3 (cos.f64 (*.f64 1/2 x))) |
(/.f64 4/3 (cos.f64 (*.f64 x 1/2))) |
(/.f64 4/3 (cos.f64 (*.f64 1/2 x))) |
(/.f64 4/3 (cos.f64 (*.f64 x 1/2))) |
(/.f64 4/3 (cos.f64 (*.f64 1/2 x))) |
(/.f64 4/3 (cos.f64 (*.f64 x 1/2))) |
(/.f64 4/3 (cos.f64 (*.f64 1/2 x))) |
(/.f64 4/3 (cos.f64 (*.f64 x 1/2))) |
(/.f64 4/3 (cos.f64 (*.f64 1/2 x))) |
(/.f64 4/3 (cos.f64 (*.f64 x 1/2))) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) -1) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) 1) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 1) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(/.f64 1 (/.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 1)) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(/.f64 1 (/.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) |
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) |
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) |
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(expm1.f64 (log1p.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 4/3 (cos.f64 (*.f64 x 1/2))) |
(exp.f64 (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 4/3 (cos.f64 (*.f64 x 1/2))) |
(log1p.f64 (expm1.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 4/3 (cos.f64 (*.f64 x 1/2))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.45% | (*.f64 x 2/3) | |
| ✓ | 0.67% | (*.f64 (*.f64 x x) 4/9) |
| ✓ | 41.91% | (/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
Compiled 41 to 26 computations (36.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) 4/9) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) 4/9) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
| 1× | batch-egg-rewrite |
| 1866× | add-sqr-sqrt |
| 1834× | *-un-lft-identity |
| 1748× | add-cube-cbrt |
| 216× | add-exp-log |
| 216× | add-cbrt-cube |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 38 |
| 1 | 277 | 20 |
| 2 | 3447 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
(*.f64 (*.f64 x x) 4/9) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 2/3) (/.f64 0 (*.f64 x (*.f64 x 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/9 (/.f64 (*.f64 x x) (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (/.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 2/3)) (/.f64 (*.f64 x 2/3) (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3/2 x) (*.f64 x (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/27 (pow.f64 x 3)) (/.f64 1 (*.f64 x (*.f64 x 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -4/9) (/.f64 1 (*.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x 4/9)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x (*.f64 x 4/9)) (sqrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x (*.f64 x 4/9)) (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 2/3) 1) (/.f64 (*.f64 x 2/3) (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x (*.f64 x 4/9))) (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x x) (/.f64 (*.f64 x 4/9) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (*.f64 x 4/9) (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x 4/9) (sqrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x 4/9) (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 2/3) (/.f64 4/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/9 x) (/.f64 (*.f64 x x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 4/9 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 2/3))) (/.f64 4/9 (sqrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/9 (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 4/9 (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/9 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 2/3) x) (/.f64 (*.f64 x 2/3) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 2/3) 2/3) (/.f64 (*.f64 x 2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) 2/3) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (sqrt.f64 (*.f64 x 2/3))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (sqrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 4/9)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/2 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/27 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2/3 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 3/2 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) 0))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 4/9)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 4/9)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 0 (*.f64 x (*.f64 x 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 0 (*.f64 16/81 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (/.f64 3/2 x) (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 2/3) (/.f64 3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 3/2 x) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 16/81 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 64/729 (pow.f64 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 x (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/27 (pow.f64 x 3)) (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)) (*.f64 16/81 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (/.f64 3/2 x) (*.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x -2/3) (*.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x x) -4/9)) (*.f64 x -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 8/27 (pow.f64 x 3))) (*.f64 8/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) x) (*.f64 x 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 x x)) 4/9)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) 4/9) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3))) (neg.f64 (*.f64 16/81 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x 2/3)) (*.f64 x -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 8/27 (pow.f64 x 3)) (*.f64 x (*.f64 x 4/9))) (*.f64 8/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x x) -4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x (*.f64 x 4/9))) (*.f64 (*.f64 x x) -4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) 1) (*.f64 (*.f64 x -2/3) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (*.f64 x x) -4/9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 4/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16/81 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/9) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 4/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 4/9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 4/9) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 4/9 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4/9 (*.f64 x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 2/3) (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 4/9)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 0))))) |
| 1× | egg-herbie |
| 1548× | times-frac |
| 1084× | associate-/l* |
| 748× | associate-*r* |
| 742× | distribute-lft-neg-in |
| 630× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 265 | 1960 |
| 1 | 818 | 1862 |
| 2 | 6256 | 1862 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 4/9 (pow.f64 x 2)) |
(+.f64 0 (*.f64 x 2/3)) |
(+.f64 (*.f64 x 2/3) 0) |
(-.f64 (*.f64 x 2/3) 0) |
(-.f64 (*.f64 x 2/3) (/.f64 0 (*.f64 x (*.f64 x 4/9)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 1) |
(*.f64 x 2/3) |
(*.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x))) |
(*.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x))) |
(*.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x))) |
(*.f64 4/9 (/.f64 (*.f64 x x) (*.f64 x 2/3))) |
(*.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 3/2 x)) |
(*.f64 2/3 x) |
(*.f64 2/3 (/.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x 2/3) 1) |
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x))) |
(*.f64 1 (*.f64 x 2/3)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4/9))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3)) |
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3))) |
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (/.f64 3/2 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3)) |
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) |
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (/.f64 (*.f64 x 2/3) (cbrt.f64 (*.f64 x 2/3)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3))) |
(*.f64 (/.f64 3/2 x) (*.f64 x (*.f64 x 4/9))) |
(*.f64 (*.f64 8/27 (pow.f64 x 3)) (/.f64 1 (*.f64 x (*.f64 x 4/9)))) |
(*.f64 (*.f64 (*.f64 x x) -4/9) (/.f64 1 (*.f64 x -2/3))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))) |
(*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x 4/9)) 2/3)) |
(*.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x)) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x (*.f64 x 4/9)) (sqrt.f64 (*.f64 x 2/3)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x (*.f64 x 4/9)) (cbrt.f64 (*.f64 x 2/3)))) |
(*.f64 (/.f64 (*.f64 x 2/3) 1) (/.f64 (*.f64 x 2/3) (*.f64 x 2/3))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x (*.f64 x 4/9))) (*.f64 x 2/3)) |
(*.f64 (/.f64 x x) (/.f64 (*.f64 x 4/9) 2/3)) |
(*.f64 (/.f64 x 1) (/.f64 (*.f64 x 4/9) (*.f64 x 2/3))) |
(*.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x)) |
(*.f64 (/.f64 x (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x 4/9) (sqrt.f64 (*.f64 x 2/3)))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x 4/9) (cbrt.f64 (*.f64 x 2/3)))) |
(*.f64 (/.f64 (*.f64 x x) x) 2/3) |
(*.f64 (/.f64 (*.f64 x x) 2/3) (/.f64 4/9 x)) |
(*.f64 (/.f64 4/9 x) (/.f64 (*.f64 x x) 2/3)) |
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 4/9 (*.f64 x 2/3))) |
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 2/3))) (/.f64 4/9 (sqrt.f64 (*.f64 x 2/3)))) |
(*.f64 (/.f64 4/9 (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 2/3)))) |
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 4/9 (cbrt.f64 (*.f64 x 2/3)))) |
(*.f64 (/.f64 4/9 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x 2/3)))) |
(*.f64 (/.f64 (*.f64 x 2/3) x) (/.f64 (*.f64 x 2/3) 2/3)) |
(*.f64 (/.f64 (*.f64 x 2/3) 2/3) (/.f64 (*.f64 x 2/3) x)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 2/3)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) 2/3) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) x)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (*.f64 x 2/3))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (sqrt.f64 (*.f64 x 2/3))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (sqrt.f64 (*.f64 x 2/3)))) |
(pow.f64 (*.f64 x (*.f64 x 4/9)) 1/2) |
(pow.f64 (*.f64 x 2/3) 1) |
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) |
(pow.f64 (/.f64 3/2 x) -1) |
(pow.f64 (*.f64 8/27 (pow.f64 x 3)) 1/3) |
(neg.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x -2/3))) |
(sqrt.f64 (*.f64 x (*.f64 x 4/9))) |
(fabs.f64 (*.f64 x 2/3)) |
(log.f64 (exp.f64 (*.f64 x 2/3))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3)))) |
(cbrt.f64 (*.f64 8/27 (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 x 2/3))) |
(exp.f64 (log.f64 (*.f64 x 2/3))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x 2/3))) |
(fma.f64 x 2/3 0) |
(fma.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 3/2 x) 0) |
(fma.f64 2/3 x 0) |
(fma.f64 1 (*.f64 x 2/3) 0) |
(fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) 0) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) 0) |
(+.f64 (*.f64 x (*.f64 x 4/9)) 0) |
(+.f64 0 (*.f64 x (*.f64 x 4/9))) |
(-.f64 (*.f64 x (*.f64 x 4/9)) 0) |
(-.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 0 (*.f64 x (*.f64 x 4/9)))) |
(-.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 0 (*.f64 16/81 (pow.f64 x 4)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9)))) 1) |
(/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (/.f64 3/2 x) (*.f64 x 2/3))) |
(/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x))) |
(/.f64 (*.f64 x 2/3) (/.f64 3/2 x)) |
(/.f64 1 (*.f64 (/.f64 3/2 x) (/.f64 3/2 x))) |
(/.f64 1 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 16/81 (pow.f64 x 4)))) |
(/.f64 1 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 64/729 (pow.f64 (*.f64 x x) 3)))) |
(/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 x (*.f64 x 4/9))) |
(/.f64 (*.f64 8/27 (pow.f64 x 3)) (*.f64 x 2/3)) |
(/.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)) (*.f64 16/81 (pow.f64 x 4))) |
(/.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (/.f64 3/2 x) (*.f64 x -2/3))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x -2/3) (*.f64 x -2/3))) |
(/.f64 (*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x x) -4/9)) (*.f64 x -2/3)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 8/27 (pow.f64 x 3))) (*.f64 8/27 (pow.f64 x 3))) |
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) x) (*.f64 x 4/9)) |
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 x x)) 4/9) |
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) 4/9) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x 4/9))) |
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) |
(/.f64 (neg.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3))) (neg.f64 (*.f64 16/81 (pow.f64 x 4)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x 2/3)) (*.f64 x -2/3)) |
(/.f64 (*.f64 (*.f64 8/27 (pow.f64 x 3)) (*.f64 x (*.f64 x 4/9))) (*.f64 8/27 (pow.f64 x 3))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x x) -4/9)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x (*.f64 x 4/9))) (*.f64 (*.f64 x x) -4/9)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) 1) (*.f64 (*.f64 x -2/3) (/.f64 3/2 x))) |
(/.f64 (neg.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (*.f64 x x) -4/9)) |
(pow.f64 (*.f64 x (*.f64 x 4/9)) 1) |
(pow.f64 (*.f64 x 2/3) 2) |
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 3) |
(pow.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)) 1/3) |
(sqrt.f64 (*.f64 16/81 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 4/9) (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 4/9))))) |
(cbrt.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x 4/9)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 4/9))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 4/9)))) |
(fma.f64 x (*.f64 x 4/9) 0) |
(fma.f64 (*.f64 x x) 4/9 0) |
(fma.f64 4/9 (*.f64 x x) 0) |
(fma.f64 (*.f64 x 2/3) (*.f64 x 2/3) 0) |
(fma.f64 1 (*.f64 x (*.f64 x 4/9)) 0) |
(fma.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 0) |
| Outputs |
|---|
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(+.f64 0 (*.f64 x 2/3)) |
(*.f64 2/3 x) |
(+.f64 (*.f64 x 2/3) 0) |
(*.f64 2/3 x) |
(-.f64 (*.f64 x 2/3) 0) |
(*.f64 2/3 x) |
(-.f64 (*.f64 x 2/3) (/.f64 0 (*.f64 x (*.f64 x 4/9)))) |
(*.f64 2/3 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 1) |
(*.f64 2/3 x) |
(*.f64 x 2/3) |
(*.f64 2/3 x) |
(*.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x))) |
(*.f64 2/3 x) |
(*.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x))) |
(*.f64 2/3 x) |
(*.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x))) |
(*.f64 2/3 x) |
(*.f64 4/9 (/.f64 (*.f64 x x) (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(*.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 3/2 x)) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 (/.f64 (*.f64 x x) x)) |
(*.f64 2/3 x) |
(*.f64 (*.f64 x 2/3) 1) |
(*.f64 2/3 x) |
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x))) |
(*.f64 2/3 x) |
(*.f64 1 (*.f64 x 2/3)) |
(*.f64 2/3 x) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4/9))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3)) |
(*.f64 2/3 x) |
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (/.f64 3/2 x))) |
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (/.f64 3/2 x) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (*.f64 (/.f64 3/2 x) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3)) |
(*.f64 2/3 x) |
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) |
(*.f64 2/3 x) |
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (/.f64 (*.f64 x 2/3) (cbrt.f64 (*.f64 x 2/3)))) |
(*.f64 (cbrt.f64 (*.f64 2/3 x)) (/.f64 x (/.f64 (cbrt.f64 (*.f64 2/3 x)) 2/3))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 4) (cbrt.f64 (*.f64 2/3 x))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 3/2 x) (*.f64 x (*.f64 x 4/9))) |
(*.f64 2/3 x) |
(*.f64 (*.f64 8/27 (pow.f64 x 3)) (/.f64 1 (*.f64 x (*.f64 x 4/9)))) |
(*.f64 8/27 (*.f64 (pow.f64 x 3) (/.f64 1 (*.f64 x (*.f64 x 4/9))))) |
(/.f64 8/27 (/.f64 4/9 x)) |
(*.f64 (*.f64 (*.f64 x x) -4/9) (/.f64 1 (*.f64 x -2/3))) |
(*.f64 2/3 x) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (fabs.f64 (cbrt.f64 (*.f64 2/3 x)))) |
(*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 2/3 x) |
(*.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 2/3 x) |
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x 4/9)) 2/3)) |
(*.f64 2/3 x) |
(*.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x)) |
(*.f64 2/3 x) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x (*.f64 x 4/9)) (sqrt.f64 (*.f64 x 2/3)))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x (*.f64 x 4/9)) (cbrt.f64 (*.f64 x 2/3)))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 (*.f64 x 2/3) 1) (/.f64 (*.f64 x 2/3) (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x (*.f64 x 4/9))) (*.f64 x 2/3)) |
(*.f64 2/3 x) |
(*.f64 (/.f64 x x) (/.f64 (*.f64 x 4/9) 2/3)) |
(*.f64 2/3 x) |
(*.f64 (/.f64 x 1) (/.f64 (*.f64 x 4/9) (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x)) |
(*.f64 2/3 x) |
(*.f64 (/.f64 x (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x 4/9) (sqrt.f64 (*.f64 x 2/3)))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x 4/9) (cbrt.f64 (*.f64 x 2/3)))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 (*.f64 x x) x) 2/3) |
(*.f64 2/3 x) |
(*.f64 (/.f64 (*.f64 x x) 2/3) (/.f64 4/9 x)) |
(*.f64 2/3 x) |
(*.f64 (/.f64 4/9 x) (/.f64 (*.f64 x x) 2/3)) |
(*.f64 2/3 x) |
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 4/9 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 2/3))) (/.f64 4/9 (sqrt.f64 (*.f64 x 2/3)))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 4/9 (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 2/3)))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 4/9 (cbrt.f64 (*.f64 x 2/3)))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 4/9 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x 2/3)))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 (*.f64 x 2/3) x) (/.f64 (*.f64 x 2/3) 2/3)) |
(*.f64 2/3 x) |
(*.f64 (/.f64 (*.f64 x 2/3) 2/3) (/.f64 (*.f64 x 2/3) x)) |
(*.f64 2/3 x) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 2/3)) |
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (/.f64 3/2 x) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (*.f64 (/.f64 3/2 x) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) 2/3) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) x)) |
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (/.f64 3/2 x) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (*.f64 (/.f64 3/2 x) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (*.f64 x 2/3))) |
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (/.f64 3/2 x) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (*.f64 (/.f64 3/2 x) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (sqrt.f64 (*.f64 x 2/3))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (sqrt.f64 (*.f64 x 2/3)))) |
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (/.f64 3/2 x) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (*.f64 (/.f64 3/2 x) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))))) |
(pow.f64 (*.f64 x (*.f64 x 4/9)) 1/2) |
(sqrt.f64 (*.f64 x (*.f64 x 4/9))) |
(fabs.f64 (*.f64 x -2/3)) |
(pow.f64 (*.f64 x 2/3) 1) |
(*.f64 2/3 x) |
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2) |
(*.f64 2/3 x) |
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) |
(*.f64 2/3 x) |
(pow.f64 (/.f64 3/2 x) -1) |
(*.f64 2/3 x) |
(pow.f64 (*.f64 8/27 (pow.f64 x 3)) 1/3) |
(cbrt.f64 (*.f64 8/27 (pow.f64 x 3))) |
(neg.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x -2/3))) |
(*.f64 2/3 x) |
(sqrt.f64 (*.f64 x (*.f64 x 4/9))) |
(fabs.f64 (*.f64 x -2/3)) |
(fabs.f64 (*.f64 x 2/3)) |
(*.f64 2/3 x) |
(log.f64 (exp.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3)))) |
(*.f64 2/3 x) |
(cbrt.f64 (*.f64 8/27 (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(exp.f64 (log.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1)) |
(*.f64 2/3 x) |
(log1p.f64 (expm1.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(fma.f64 x 2/3 0) |
(*.f64 2/3 x) |
(fma.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 3/2 x) 0) |
(*.f64 2/3 x) |
(fma.f64 2/3 x 0) |
(*.f64 2/3 x) |
(fma.f64 1 (*.f64 x 2/3) 0) |
(*.f64 2/3 x) |
(fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) 0) |
(*.f64 2/3 x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) 0) |
(*.f64 2/3 x) |
(+.f64 (*.f64 x (*.f64 x 4/9)) 0) |
(*.f64 x (*.f64 x 4/9)) |
(+.f64 0 (*.f64 x (*.f64 x 4/9))) |
(*.f64 x (*.f64 x 4/9)) |
(-.f64 (*.f64 x (*.f64 x 4/9)) 0) |
(*.f64 x (*.f64 x 4/9)) |
(-.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 0 (*.f64 x (*.f64 x 4/9)))) |
(*.f64 x (*.f64 x 4/9)) |
(-.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 0 (*.f64 16/81 (pow.f64 x 4)))) |
(*.f64 x (*.f64 x 4/9)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9)))) 1) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (/.f64 3/2 x) (*.f64 x 2/3))) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x))) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 x 2/3) (/.f64 3/2 x)) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 1 (*.f64 (/.f64 3/2 x) (/.f64 3/2 x))) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 1 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 16/81 (pow.f64 x 4)))) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 1 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 64/729 (pow.f64 (*.f64 x x) 3)))) |
(/.f64 1 (*.f64 9/4 (/.f64 (pow.f64 x 4) (pow.f64 (*.f64 x x) 3)))) |
(*.f64 4/9 (/.f64 (pow.f64 x 6) (pow.f64 x 4))) |
(/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 x (*.f64 x 4/9))) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 8/27 (pow.f64 x 3)) (*.f64 x 2/3)) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)) (*.f64 16/81 (pow.f64 x 4))) |
(/.f64 1 (*.f64 9/4 (/.f64 (pow.f64 x 4) (pow.f64 (*.f64 x x) 3)))) |
(*.f64 4/9 (/.f64 (pow.f64 x 6) (pow.f64 x 4))) |
(/.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (/.f64 3/2 x) (*.f64 x -2/3))) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x -2/3) (*.f64 x -2/3))) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x x) -4/9)) (*.f64 x -2/3)) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 8/27 (pow.f64 x 3))) (*.f64 8/27 (pow.f64 x 3))) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) x) (*.f64 x 4/9)) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 x x)) 4/9) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) 4/9) (*.f64 x x)) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x 4/9))) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) |
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)) |
(*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)) (/.f64 16/81 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))))) |
(/.f64 (neg.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3))) (neg.f64 (*.f64 16/81 (pow.f64 x 4)))) |
(/.f64 1 (*.f64 9/4 (/.f64 (pow.f64 x 4) (pow.f64 (*.f64 x x) 3)))) |
(*.f64 4/9 (/.f64 (pow.f64 x 6) (pow.f64 x 4))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x 2/3)) (*.f64 x -2/3)) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 (*.f64 8/27 (pow.f64 x 3)) (*.f64 x (*.f64 x 4/9))) (*.f64 8/27 (pow.f64 x 3))) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x x) -4/9)) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x (*.f64 x 4/9))) (*.f64 (*.f64 x x) -4/9)) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) 1) (*.f64 (*.f64 x -2/3) (/.f64 3/2 x))) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (neg.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (*.f64 x x) -4/9)) |
(*.f64 x (*.f64 x 4/9)) |
(pow.f64 (*.f64 x (*.f64 x 4/9)) 1) |
(*.f64 x (*.f64 x 4/9)) |
(pow.f64 (*.f64 x 2/3) 2) |
(*.f64 x (*.f64 x 4/9)) |
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 3) |
(*.f64 x (*.f64 x 4/9)) |
(pow.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)) 1/3) |
(cbrt.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3))) |
(cbrt.f64 (*.f64 64/729 (pow.f64 x 6))) |
(sqrt.f64 (*.f64 16/81 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 4/9) (*.f64 x x))) |
(*.f64 x (*.f64 x 4/9)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 4/9))))) |
(*.f64 x (*.f64 x 4/9)) |
(cbrt.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3))) |
(cbrt.f64 (*.f64 64/729 (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9)))) |
(*.f64 x (*.f64 x 4/9)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x 4/9)))) |
(*.f64 x (*.f64 x 4/9)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 4/9))) 1)) |
(*.f64 x (*.f64 x 4/9)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 4/9)))) |
(*.f64 x (*.f64 x 4/9)) |
(fma.f64 x (*.f64 x 4/9) 0) |
(*.f64 x (*.f64 x 4/9)) |
(fma.f64 (*.f64 x x) 4/9 0) |
(*.f64 x (*.f64 x 4/9)) |
(fma.f64 4/9 (*.f64 x x) 0) |
(*.f64 x (*.f64 x 4/9)) |
(fma.f64 (*.f64 x 2/3) (*.f64 x 2/3) 0) |
(*.f64 x (*.f64 x 4/9)) |
(fma.f64 1 (*.f64 x (*.f64 x 4/9)) 0) |
(*.f64 x (*.f64 x 4/9)) |
(fma.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 0) |
(fma.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) 0) |
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (+.f64 1/3 (/.f64 (/.f64 4 x) x)) |
| ✓ | 0.27% | (/.f64 (/.f64 4 x) x) |
| 0.6% | (/.f64 8/3 (sin.f64 x)) | |
| ✓ | 20.81% | (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 (/.f64 4 x) x))) |
Compiled 38 to 25 computations (34.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 (/.f64 4 x) x))) |
| 1.0ms | x | @ | inf | (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 (/.f64 4 x) x))) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 (/.f64 4 x) x))) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 4 x) x) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 4 x) x) |
| 1× | batch-egg-rewrite |
| 1806× | associate-/l* |
| 1034× | associate-/r/ |
| 938× | associate-/l/ |
| 504× | distribute-lft-in |
| 296× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 67 |
| 1 | 298 | 67 |
| 2 | 4035 | 67 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 (/.f64 4 x) x))) |
(/.f64 (/.f64 4 x) x) |
(+.f64 1/3 (/.f64 (/.f64 4 x) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) 1/3) (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (neg.f64 (/.f64 4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) 1/3) (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (*.f64 (/.f64 -4 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) 1/3) (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (*.f64 -1 (/.f64 4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) 1/3) (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (*.f64 (neg.f64 (/.f64 2 x)) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) 1/3) (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) 2)) (cbrt.f64 (/.f64 4 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3)))) 1/9) (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3)))) (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 4/3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3)))) (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 4/3 (*.f64 x x)))) (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3)))) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x 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(/.f64 4 (*.f64 x x))) 1/3))))) |
| 1× | egg-herbie |
| 604× | *-commutative |
| 596× | +-commutative |
| 574× | associate-*r/ |
| 560× | associate-/r* |
| 514× | associate-*l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 486 | 7939 |
| 1 | 1406 | 7775 |
| 2 | 5580 | 7775 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/120 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 61/90720 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5))))) |
(/.f64 8 (sin.f64 x)) |
(-.f64 (*.f64 8 (/.f64 1 (sin.f64 x))) (*.f64 96 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (sin.f64 x))) (*.f64 1152 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 4))))) (*.f64 96 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (sin.f64 x))) (*.f64 1152 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 4))))) (+.f64 (*.f64 96 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 2)))) (*.f64 13824 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 6)))))) |
(/.f64 8 (sin.f64 x)) |
(-.f64 (*.f64 8 (/.f64 1 (sin.f64 x))) (*.f64 96 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (sin.f64 x))) (*.f64 1152 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 4))))) (*.f64 96 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (sin.f64 x))) (*.f64 1152 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 4))))) (+.f64 (*.f64 96 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 2)))) (*.f64 13824 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 6)))))) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
1/3 |
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
1/3 |
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) 1/3) (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (neg.f64 (/.f64 4 (*.f64 x x))))) |
(+.f64 (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) 1/3) (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (*.f64 (/.f64 -4 x) (/.f64 1 x)))) |
(+.f64 (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) 1/3) (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (*.f64 -1 (/.f64 4 (*.f64 x x))))) |
(+.f64 (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) 1/3) (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (*.f64 (neg.f64 (/.f64 2 x)) (/.f64 2 x)))) |
(+.f64 (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) 1/3) (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) 2)) (cbrt.f64 (/.f64 4 (*.f64 x x)))))) |
(+.f64 (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3)))) 1/9) (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3)))) (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 4/3 (*.f64 x x))))) |
(+.f64 (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3)))) (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 4/3 (*.f64 x x)))) (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3)))) 1/9)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 -8/3 (*.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x))))) 1) |
(*.f64 8/3 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 -1 (-.f64 -1/3 (/.f64 4 (*.f64 x x)))))) |
(*.f64 8/3 (/.f64 1 (*.f64 (sin.f64 x) (+.f64 1/3 (/.f64 4 (*.f64 x x)))))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 -1 (-.f64 -1/3 (/.f64 4 (*.f64 x x))))) |
(*.f64 (/.f64 -8/3 (*.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x))) 1) |
(*.f64 1 (/.f64 -8/3 (*.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 -8/3 (*.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x)))) (sqrt.f64 (/.f64 -8/3 (*.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (/.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (+.f64 1/3 (/.f64 4 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (/.f64 -8/3 (*.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 -8/3 (*.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -8/3 (*.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x)))) 2) (cbrt.f64 (/.f64 -8/3 (*.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (/.f64 -1 (-.f64 -1/3 (/.f64 4 (*.f64 x x)))))) |
(*.f64 (/.f64 -1 (-.f64 -1/3 (/.f64 4 (*.f64 x x)))) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (/.f64 -8/3 (sin.f64 x)) (/.f64 1 (-.f64 -1/3 (/.f64 4 (*.f64 x x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))))) (/.f64 8/3 (*.f64 (sqrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))) (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))) 2)) (/.f64 8/3 (*.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))) (sin.f64 x)))) |
(*.f64 (/.f64 8/3 (+.f64 1/3 (/.f64 4 (*.f64 x x)))) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 1 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/3 (/.f64 4 (*.f64 x x))))) |
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 -8/3 (*.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x)))))) |
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(exp.f64 (log.f64 (/.f64 -8/3 (*.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x))))) |
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(/.f64 (-.f64 1/81 (*.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (*.f64 (-.f64 1/3 (/.f64 4 (*.f64 x x))) (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) 1/9))) |
(/.f64 (+.f64 1/19683 (pow.f64 (/.f64 64 (pow.f64 (*.f64 x x) 3)) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (*.f64 x x)))) (+.f64 1/729 (-.f64 (*.f64 (/.f64 64 (pow.f64 (*.f64 x x) 3)) (/.f64 64 (pow.f64 (*.f64 x x) 3))) (*.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3))))))) |
(/.f64 (-.f64 1/729 (pow.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) 3)) (*.f64 (-.f64 1/3 (/.f64 4 (*.f64 x x))) (+.f64 1/81 (+.f64 (*.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (pow.f64 (/.f64 4 (*.f64 x x)) 2)) (*.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)))))) |
(pow.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))) 1) |
(pow.f64 (sqrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))) 2)) |
(log.f64 (exp.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))))) |
(cbrt.f64 (pow.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))) 3)) |
(expm1.f64 (log.f64 (+.f64 4/3 (/.f64 4 (*.f64 x x))))) |
(exp.f64 (log.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))))) |
(fma.f64 (/.f64 4 x) (/.f64 1 x) 1/3) |
(fma.f64 1 (/.f64 4 (*.f64 x x)) 1/3) |
(fma.f64 (/.f64 2 x) (/.f64 2 x) 1/3) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) 2) (cbrt.f64 (/.f64 4 (*.f64 x x))) 1/3) |
| Outputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/120 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/120 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (*.f64 2/3 x))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 61/90720 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 61/90720 (pow.f64 x 7) (*.f64 1/120 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 1/120 (pow.f64 x 5) (*.f64 61/90720 (pow.f64 x 7))))) |
(/.f64 8 (sin.f64 x)) |
(-.f64 (*.f64 8 (/.f64 1 (sin.f64 x))) (*.f64 96 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 2))))) |
(-.f64 (/.f64 8 (sin.f64 x)) (/.f64 96 (*.f64 (sin.f64 x) (*.f64 x x)))) |
(+.f64 (/.f64 8 (sin.f64 x)) (/.f64 -96 (*.f64 (sin.f64 x) (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (sin.f64 x))) (*.f64 1152 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 4))))) (*.f64 96 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 2))))) |
(+.f64 (/.f64 8 (sin.f64 x)) (-.f64 (/.f64 1152 (*.f64 (sin.f64 x) (pow.f64 x 4))) (/.f64 96 (*.f64 (sin.f64 x) (*.f64 x x))))) |
(+.f64 (/.f64 1152 (*.f64 (sin.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 8 (sin.f64 x)) (/.f64 -96 (*.f64 (sin.f64 x) (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 8 (sin.f64 x)) (/.f64 -96 (*.f64 (sin.f64 x) (*.f64 x x)))) (/.f64 1152 (*.f64 (sin.f64 x) (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (sin.f64 x))) (*.f64 1152 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 4))))) (+.f64 (*.f64 96 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 2)))) (*.f64 13824 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 6)))))) |
(+.f64 (/.f64 8 (sin.f64 x)) (-.f64 (/.f64 1152 (*.f64 (sin.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 96 (*.f64 (sin.f64 x) (*.f64 x x))) (/.f64 13824 (*.f64 (sin.f64 x) (pow.f64 x 6)))))) |
(+.f64 (/.f64 1152 (*.f64 (sin.f64 x) (pow.f64 x 4))) (-.f64 (/.f64 8 (sin.f64 x)) (+.f64 (/.f64 96 (*.f64 (sin.f64 x) (*.f64 x x))) (/.f64 13824 (*.f64 (sin.f64 x) (pow.f64 x 6)))))) |
(+.f64 (/.f64 1152 (*.f64 (sin.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 8 (sin.f64 x)) (+.f64 (/.f64 -96 (*.f64 (sin.f64 x) (*.f64 x x))) (/.f64 -13824 (*.f64 (sin.f64 x) (pow.f64 x 6)))))) |
(/.f64 8 (sin.f64 x)) |
(-.f64 (*.f64 8 (/.f64 1 (sin.f64 x))) (*.f64 96 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 2))))) |
(-.f64 (/.f64 8 (sin.f64 x)) (/.f64 96 (*.f64 (sin.f64 x) (*.f64 x x)))) |
(+.f64 (/.f64 8 (sin.f64 x)) (/.f64 -96 (*.f64 (sin.f64 x) (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (sin.f64 x))) (*.f64 1152 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 4))))) (*.f64 96 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 2))))) |
(+.f64 (/.f64 8 (sin.f64 x)) (-.f64 (/.f64 1152 (*.f64 (sin.f64 x) (pow.f64 x 4))) (/.f64 96 (*.f64 (sin.f64 x) (*.f64 x x))))) |
(+.f64 (/.f64 1152 (*.f64 (sin.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 8 (sin.f64 x)) (/.f64 -96 (*.f64 (sin.f64 x) (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 8 (sin.f64 x)) (/.f64 -96 (*.f64 (sin.f64 x) (*.f64 x x)))) (/.f64 1152 (*.f64 (sin.f64 x) (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (sin.f64 x))) (*.f64 1152 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 4))))) (+.f64 (*.f64 96 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 2)))) (*.f64 13824 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 6)))))) |
(+.f64 (/.f64 8 (sin.f64 x)) (-.f64 (/.f64 1152 (*.f64 (sin.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 96 (*.f64 (sin.f64 x) (*.f64 x x))) (/.f64 13824 (*.f64 (sin.f64 x) (pow.f64 x 6)))))) |
(+.f64 (/.f64 1152 (*.f64 (sin.f64 x) (pow.f64 x 4))) (-.f64 (/.f64 8 (sin.f64 x)) (+.f64 (/.f64 96 (*.f64 (sin.f64 x) (*.f64 x x))) (/.f64 13824 (*.f64 (sin.f64 x) (pow.f64 x 6)))))) |
(+.f64 (/.f64 1152 (*.f64 (sin.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 8 (sin.f64 x)) (+.f64 (/.f64 -96 (*.f64 (sin.f64 x) (*.f64 x x))) (/.f64 -13824 (*.f64 (sin.f64 x) (pow.f64 x 6)))))) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
1/3 |
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
1/3 |
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) 1/3) (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (neg.f64 (/.f64 4 (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 -4 (*.f64 x x)))) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) |
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/3 (/.f64 4 (*.f64 x x)))) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) |
(+.f64 (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) 1/3) (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (*.f64 (/.f64 -4 x) (/.f64 1 x)))) |
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 -4 (*.f64 x x)))) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) |
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/3 (/.f64 4 (*.f64 x x)))) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) |
(+.f64 (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) 1/3) (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (*.f64 -1 (/.f64 4 (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 -4 (*.f64 x x)))) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) |
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/3 (/.f64 4 (*.f64 x x)))) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) |
(+.f64 (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) 1/3) (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (*.f64 (neg.f64 (/.f64 2 x)) (/.f64 2 x)))) |
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 -4 (*.f64 x x)))) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) |
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/3 (/.f64 4 (*.f64 x x)))) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) |
(+.f64 (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) 1/3) (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) 2)) (cbrt.f64 (/.f64 4 (*.f64 x x)))))) |
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 -4 (*.f64 x x)))) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) |
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/3 (/.f64 4 (*.f64 x x)))) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) |
(+.f64 (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3)))) 1/9) (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3)))) (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 4/3 (*.f64 x x))))) |
(*.f64 (/.f64 8/3 (*.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6))) (sin.f64 x))) (+.f64 1/9 (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 4/3 (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/27 (/.f64 64 (pow.f64 x 6)))) (+.f64 1/9 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x))))) |
(+.f64 (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3)))) (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 4/3 (*.f64 x x)))) (*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3)))) 1/9)) |
(*.f64 (/.f64 8/3 (*.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6))) (sin.f64 x))) (+.f64 1/9 (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 4/3 (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/27 (/.f64 64 (pow.f64 x 6)))) (+.f64 1/9 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 -8/3 (*.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x))))) 1) |
(/.f64 (/.f64 -8/3 (+.f64 -1/3 (/.f64 -4 (*.f64 x x)))) (sin.f64 x)) |
(/.f64 (/.f64 -8/3 (sin.f64 x)) (-.f64 -1/3 (/.f64 4 (*.f64 x x)))) |
(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 4 (*.f64 x x)))) |
(*.f64 8/3 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 -1 (-.f64 -1/3 (/.f64 4 (*.f64 x x)))))) |
(/.f64 (/.f64 -8/3 (+.f64 -1/3 (/.f64 -4 (*.f64 x x)))) (sin.f64 x)) |
(/.f64 (/.f64 -8/3 (sin.f64 x)) (-.f64 -1/3 (/.f64 4 (*.f64 x x)))) |
(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 4 (*.f64 x x)))) |
(*.f64 8/3 (/.f64 1 (*.f64 (sin.f64 x) (+.f64 1/3 (/.f64 4 (*.f64 x x)))))) |
(/.f64 (/.f64 -8/3 (+.f64 -1/3 (/.f64 -4 (*.f64 x x)))) (sin.f64 x)) |
(/.f64 (/.f64 -8/3 (sin.f64 x)) (-.f64 -1/3 (/.f64 4 (*.f64 x x)))) |
(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 4 (*.f64 x x)))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 -1 (-.f64 -1/3 (/.f64 4 (*.f64 x x))))) |
(/.f64 (/.f64 -8/3 (+.f64 -1/3 (/.f64 -4 (*.f64 x x)))) (sin.f64 x)) |
(/.f64 (/.f64 -8/3 (sin.f64 x)) (-.f64 -1/3 (/.f64 4 (*.f64 x x)))) |
(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 4 (*.f64 x x)))) |
(*.f64 (/.f64 -8/3 (*.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x))) 1) |
(/.f64 (/.f64 -8/3 (+.f64 -1/3 (/.f64 -4 (*.f64 x x)))) (sin.f64 x)) |
(/.f64 (/.f64 -8/3 (sin.f64 x)) (-.f64 -1/3 (/.f64 4 (*.f64 x x)))) |
(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 4 (*.f64 x x)))) |
(*.f64 1 (/.f64 -8/3 (*.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x)))) |
(/.f64 (/.f64 -8/3 (+.f64 -1/3 (/.f64 -4 (*.f64 x x)))) (sin.f64 x)) |
(/.f64 (/.f64 -8/3 (sin.f64 x)) (-.f64 -1/3 (/.f64 4 (*.f64 x x)))) |
(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 4 (*.f64 x x)))) |
(*.f64 (sqrt.f64 (/.f64 -8/3 (*.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x)))) (sqrt.f64 (/.f64 -8/3 (*.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x))))) |
(/.f64 (/.f64 -8/3 (+.f64 -1/3 (/.f64 -4 (*.f64 x x)))) (sin.f64 x)) |
(/.f64 (/.f64 -8/3 (sin.f64 x)) (-.f64 -1/3 (/.f64 4 (*.f64 x x)))) |
(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 4 (*.f64 x x)))) |
(*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (/.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (+.f64 1/3 (/.f64 4 (*.f64 x x))))) |
(/.f64 (/.f64 -8/3 (+.f64 -1/3 (/.f64 -4 (*.f64 x x)))) (sin.f64 x)) |
(/.f64 (/.f64 -8/3 (sin.f64 x)) (-.f64 -1/3 (/.f64 4 (*.f64 x x)))) |
(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 4 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 -8/3 (*.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 -8/3 (*.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x)))) 2)) |
(/.f64 (/.f64 -8/3 (+.f64 -1/3 (/.f64 -4 (*.f64 x x)))) (sin.f64 x)) |
(/.f64 (/.f64 -8/3 (sin.f64 x)) (-.f64 -1/3 (/.f64 4 (*.f64 x x)))) |
(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 4 (*.f64 x x)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -8/3 (*.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x)))) 2) (cbrt.f64 (/.f64 -8/3 (*.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x))))) |
(/.f64 (/.f64 -8/3 (+.f64 -1/3 (/.f64 -4 (*.f64 x x)))) (sin.f64 x)) |
(/.f64 (/.f64 -8/3 (sin.f64 x)) (-.f64 -1/3 (/.f64 4 (*.f64 x x)))) |
(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 4 (*.f64 x x)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (/.f64 -1 (-.f64 -1/3 (/.f64 4 (*.f64 x x)))))) |
(/.f64 (/.f64 -8/3 (+.f64 -1/3 (/.f64 -4 (*.f64 x x)))) (sin.f64 x)) |
(/.f64 (/.f64 -8/3 (sin.f64 x)) (-.f64 -1/3 (/.f64 4 (*.f64 x x)))) |
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(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (+.f64 1/3 (/.f64 4 (*.f64 x x))))) 8/3) |
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(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 4 (*.f64 x x)))) |
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(*.f64 (/.f64 1 (/.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))) 8/3)) (/.f64 1 (sin.f64 x))) |
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(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 4 (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 -1 (-.f64 -1/3 (/.f64 4 (*.f64 x x)))) (sin.f64 x)) 8/3) |
(/.f64 (/.f64 -8/3 (+.f64 -1/3 (/.f64 -4 (*.f64 x x)))) (sin.f64 x)) |
(/.f64 (/.f64 -8/3 (sin.f64 x)) (-.f64 -1/3 (/.f64 4 (*.f64 x x)))) |
(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 4 (*.f64 x x)))) |
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(*.f64 (/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)) (-.f64 1/27 (/.f64 64 (pow.f64 x 6)))) (+.f64 1/9 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 4/3 (*.f64 x x))))) |
(/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)) (/.f64 (-.f64 1/27 (/.f64 64 (pow.f64 x 6))) (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (+.f64 1/9 (/.f64 4/3 (*.f64 x x)))))) |
(*.f64 (/.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3))) (-.f64 1/81 (*.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 4/3 (*.f64 x x))) (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 4/3 (*.f64 x x)))))) (-.f64 1/9 (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 4/3 (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6))) (-.f64 1/81 (*.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 4/3 (*.f64 x x))) (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 4/3 (*.f64 x x)))))) (+.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)) (/.f64 4/3 (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6))) (-.f64 1/81 (*.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x))) (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x)))))) (-.f64 1/9 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6))) (+.f64 1/81 (*.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x))) (-.f64 (/.f64 4/3 (*.f64 x x)) (pow.f64 (/.f64 4 (*.f64 x x)) 2))))) (-.f64 1/9 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3))) (+.f64 1/729 (pow.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 4/3 (*.f64 x x))) 3))) (-.f64 (+.f64 1/81 (*.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 4/3 (*.f64 x x))) (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 4/3 (*.f64 x x))))) (*.f64 1/9 (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 4/3 (*.f64 x x)))))) |
(*.f64 (/.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6))) (+.f64 1/729 (pow.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 4/3 (*.f64 x x))) 3))) (+.f64 1/81 (-.f64 (*.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 4/3 (*.f64 x x))) (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 4/3 (*.f64 x x)))) (*.f64 1/9 (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 4/3 (*.f64 x x))))))) |
(*.f64 (/.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6))) (+.f64 1/729 (pow.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x))) 3))) (+.f64 1/81 (*.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x))) (-.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x))) 1/9)))) |
(*.f64 (/.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6))) (+.f64 1/729 (pow.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x))) 3))) (+.f64 1/81 (*.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x))) (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (-.f64 (/.f64 -4/3 (*.f64 x x)) 1/9))))) |
(/.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))) 1) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(/.f64 1 (/.f64 -1 (-.f64 -1/3 (/.f64 4 (*.f64 x x))))) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(/.f64 (sqrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))) (/.f64 1 (sqrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))))) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(/.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))) 2))) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))) 2) (/.f64 1 (cbrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))))) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)) (-.f64 1/3 (/.f64 4 (*.f64 x x)))) |
(/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)) (+.f64 1/3 (/.f64 -4 (*.f64 x x)))) |
(/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)) (/.f64 1 (/.f64 1 (-.f64 1/3 (/.f64 4 (*.f64 x x)))))) |
(/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)) (+.f64 1/3 (/.f64 -4 (*.f64 x x)))) |
(/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)) (-.f64 1/3 (/.f64 4 (*.f64 x x)))) |
(/.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3))) (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (*.f64 x x))))) |
(*.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6))) (/.f64 1 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (*.f64 x x)))))) |
(/.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6))) (+.f64 1/9 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x))))) |
(/.f64 (+.f64 -1/27 (/.f64 -64 (pow.f64 x 6))) (+.f64 -1/9 (-.f64 (/.f64 4/3 (*.f64 x x)) (pow.f64 (/.f64 4 (*.f64 x x)) 2)))) |
(/.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (*.f64 x x))))))) |
(*.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6))) (/.f64 1 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (*.f64 x x)))))) |
(/.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6))) (+.f64 1/9 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x))))) |
(/.f64 (+.f64 -1/27 (/.f64 -64 (pow.f64 x 6))) (+.f64 -1/9 (-.f64 (/.f64 4/3 (*.f64 x x)) (pow.f64 (/.f64 4 (*.f64 x x)) 2)))) |
(/.f64 (sqrt.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (/.f64 (-.f64 1/3 (/.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (+.f64 1/3 (/.f64 -4 (*.f64 x x)))) (sqrt.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)))) |
(*.f64 (sqrt.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (/.f64 (sqrt.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (-.f64 1/3 (/.f64 4 (*.f64 x x))))) |
(/.f64 (sqrt.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (*.f64 x x)))) (sqrt.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3)))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6)))) (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (*.f64 x x))))) (sqrt.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6))))) |
(*.f64 (sqrt.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6)))) (/.f64 (sqrt.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6)))) (+.f64 1/9 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (cbrt.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)))) (/.f64 (-.f64 1/3 (/.f64 4 (*.f64 x x))) (cbrt.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (cbrt.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)))) (+.f64 1/3 (/.f64 -4 (*.f64 x x)))) (cbrt.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)))) |
(*.f64 (cbrt.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (/.f64 (cbrt.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (/.f64 (-.f64 1/3 (/.f64 4 (*.f64 x x))) (cbrt.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3)))) (cbrt.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3))))) (/.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (*.f64 x x)))) (cbrt.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3)))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6)))) (cbrt.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6))))) (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (*.f64 x x))))) (cbrt.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6))))) |
(*.f64 (cbrt.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6)))) (/.f64 (*.f64 (cbrt.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6)))) (cbrt.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6))))) (+.f64 1/9 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (neg.f64 (-.f64 1/3 (/.f64 4 (*.f64 x x))))) |
(/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)) (+.f64 1/3 (/.f64 -4 (*.f64 x x)))) |
(/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)) (-.f64 1/3 (/.f64 4 (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (*.f64 1 (neg.f64 (-.f64 1/3 (/.f64 4 (*.f64 x x)))))) |
(/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)) (+.f64 1/3 (/.f64 -4 (*.f64 x x)))) |
(/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)) (-.f64 1/3 (/.f64 4 (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (*.f64 x x)))))) |
(*.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6))) (/.f64 1 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (*.f64 x x)))))) |
(/.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6))) (+.f64 1/9 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x))))) |
(/.f64 (+.f64 -1/27 (/.f64 -64 (pow.f64 x 6))) (+.f64 -1/9 (-.f64 (/.f64 4/3 (*.f64 x x)) (pow.f64 (/.f64 4 (*.f64 x x)) 2)))) |
(/.f64 (neg.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3)))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (*.f64 x x))))))) |
(*.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6))) (/.f64 1 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (*.f64 x x)))))) |
(/.f64 (+.f64 1/27 (/.f64 64 (pow.f64 x 6))) (+.f64 1/9 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x))))) |
(/.f64 (+.f64 -1/27 (/.f64 -64 (pow.f64 x 6))) (+.f64 -1/9 (-.f64 (/.f64 4/3 (*.f64 x x)) (pow.f64 (/.f64 4 (*.f64 x x)) 2)))) |
(/.f64 (-.f64 1/729 (*.f64 (/.f64 64 (pow.f64 (*.f64 x x) 3)) (/.f64 64 (pow.f64 (*.f64 x x) 3)))) (*.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (*.f64 x x)))) (-.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3))))) |
(/.f64 (-.f64 1/729 (*.f64 (/.f64 64 (pow.f64 x 6)) (/.f64 64 (pow.f64 x 6)))) (*.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (*.f64 x x)))) (-.f64 1/27 (/.f64 64 (pow.f64 x 6))))) |
(/.f64 (-.f64 1/729 (/.f64 (/.f64 4096 (pow.f64 x 6)) (pow.f64 x 6))) (*.f64 (+.f64 1/9 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x)))) (-.f64 1/27 (/.f64 64 (pow.f64 x 6))))) |
(/.f64 (+.f64 1/729 (/.f64 (/.f64 -4096 (pow.f64 x 6)) (pow.f64 x 6))) (*.f64 (+.f64 1/9 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x)))) (-.f64 1/27 (/.f64 64 (pow.f64 x 6))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) 1/9) (-.f64 (/.f64 4 (*.f64 x x)) 1/3)) |
(/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)) (+.f64 1/3 (/.f64 -4 (*.f64 x x)))) |
(/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)) (-.f64 1/3 (/.f64 4 (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) 1/9) (*.f64 1 (-.f64 (/.f64 4 (*.f64 x x)) 1/3))) |
(/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)) (+.f64 1/3 (/.f64 -4 (*.f64 x x)))) |
(/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)) (-.f64 1/3 (/.f64 4 (*.f64 x x)))) |
(/.f64 (-.f64 1/81 (*.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (pow.f64 (/.f64 4 (*.f64 x x)) 2))) (*.f64 (-.f64 1/3 (/.f64 4 (*.f64 x x))) (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) 1/9))) |
(/.f64 (-.f64 1/81 (pow.f64 (/.f64 4 (*.f64 x x)) 4)) (*.f64 (+.f64 1/3 (/.f64 -4 (*.f64 x x))) (+.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)))) |
(/.f64 (-.f64 1/81 (pow.f64 (/.f64 4 (*.f64 x x)) 4)) (*.f64 (-.f64 1/3 (/.f64 4 (*.f64 x x))) (+.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)))) |
(/.f64 (+.f64 1/19683 (pow.f64 (/.f64 64 (pow.f64 (*.f64 x x) 3)) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (*.f64 x x)))) (+.f64 1/729 (-.f64 (*.f64 (/.f64 64 (pow.f64 (*.f64 x x) 3)) (/.f64 64 (pow.f64 (*.f64 x x) 3))) (*.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3))))))) |
(/.f64 (+.f64 1/19683 (/.f64 262144 (pow.f64 (pow.f64 x 6) 3))) (*.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (*.f64 x x)))) (+.f64 1/729 (*.f64 (/.f64 64 (pow.f64 x 6)) (-.f64 (/.f64 64 (pow.f64 x 6)) 1/27))))) |
(/.f64 (+.f64 1/19683 (/.f64 262144 (pow.f64 (pow.f64 x 6) 3))) (*.f64 (+.f64 1/9 (+.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x)))) (fma.f64 (/.f64 64 (pow.f64 x 6)) (+.f64 (/.f64 64 (pow.f64 x 6)) -1/27) 1/729))) |
(/.f64 (-.f64 1/729 (pow.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) 3)) (*.f64 (-.f64 1/3 (/.f64 4 (*.f64 x x))) (+.f64 1/81 (+.f64 (*.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (pow.f64 (/.f64 4 (*.f64 x x)) 2)) (*.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)))))) |
(/.f64 (-.f64 1/729 (pow.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) 3)) (*.f64 (+.f64 1/3 (/.f64 -4 (*.f64 x x))) (+.f64 1/81 (*.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (+.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)))))) |
(/.f64 (-.f64 1/729 (pow.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2) 3)) (*.f64 (-.f64 1/3 (/.f64 4 (*.f64 x x))) (+.f64 1/81 (fma.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2) (pow.f64 (/.f64 4 (*.f64 x x)) 4))))) |
(pow.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))) 1) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(pow.f64 (sqrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))) 2) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))) 3) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(pow.f64 (pow.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))) 3) 1/3) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(sqrt.f64 (pow.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))) 2)) |
(fabs.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))) |
(log.f64 (exp.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))))) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))))) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(cbrt.f64 (pow.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))) 3)) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(expm1.f64 (log.f64 (+.f64 4/3 (/.f64 4 (*.f64 x x))))) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(exp.f64 (log.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))))) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))) 1)) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(log1p.f64 (expm1.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))))) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(fma.f64 (/.f64 4 x) (/.f64 1 x) 1/3) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(fma.f64 1 (/.f64 4 (*.f64 x x)) 1/3) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(fma.f64 (/.f64 2 x) (/.f64 2 x) 1/3) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) 2) (cbrt.f64 (/.f64 4 (*.f64 x x))) 1/3) |
(+.f64 1/3 (/.f64 4 (*.f64 x x))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2% | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
| ✓ | 0.24% | (*.f64 (sin.f64 x) 3/4) |
| 1.61% | (-.f64 1 (cos.f64 x)) |
Compiled 25 to 14 computations (44% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (sin.f64 x) 3/4) |
| 0.0ms | x | @ | inf | (*.f64 (sin.f64 x) 3/4) |
| 0.0ms | x | @ | -inf | (*.f64 (sin.f64 x) 3/4) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
| 1× | batch-egg-rewrite |
| 1688× | associate-/r* |
| 1626× | associate-*r/ |
| 1480× | associate-/l* |
| 1220× | associate-*l/ |
| 1062× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 38 |
| 1 | 230 | 28 |
| 2 | 3046 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) 3/4) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) 3/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/4) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/4))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x))) (/.f64 4/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2) (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (/.f64 x 2)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -4/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (tan.f64 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (sin.f64 x)) (+.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sin.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 3/4) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2))) (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (/.f64 x 2)) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))))))) |
| 1× | egg-herbie |
| 774× | associate-*r/ |
| 616× | associate-+l- |
| 608× | unswap-sqr |
| 554× | +-commutative |
| 530× | associate-+r- |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 173 | 1798 |
| 1 | 436 | 1774 |
| 2 | 1454 | 1774 |
| 3 | 6075 | 1774 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3/4 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 3/4 x)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 3/4 x) (*.f64 1/160 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/6720 (pow.f64 x 7)) (+.f64 (*.f64 3/4 x) (*.f64 1/160 (pow.f64 x 5))))) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/4))) 1) |
(pow.f64 (*.f64 (sin.f64 x) 3/4) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/4)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2)) |
(log.f64 (pow.f64 (exp.f64 3/4) (sin.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/4)))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/4))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/4))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/4))) |
(+.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x)))) |
(+.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x))) (/.f64 4/3 (sin.f64 x))) |
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) 1) |
(*.f64 1 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) |
(*.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 1) |
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2)) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2) (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x)))) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -4/3 (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) 3/4)))) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 3/4)) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) 3/4)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2)))) |
(*.f64 (/.f64 -4/3 (sin.f64 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 4/3 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 3/4)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) 3/4)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sin.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 3/4) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/4)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 (*.f64 (sin.f64 x) 3/4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2))) (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) |
(pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 1) |
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 3) |
(pow.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3) 1/3) |
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1) |
(neg.f64 (/.f64 (tan.f64 (/.f64 x 2)) -3/4)) |
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 2)) |
(log.f64 (exp.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))) |
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) |
(exp.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) |
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) |
| Outputs |
|---|
(*.f64 3/4 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 3/4 x)) |
(fma.f64 -1/8 (pow.f64 x 3) (*.f64 3/4 x)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 3/4 x) (*.f64 1/160 (pow.f64 x 5)))) |
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 3/4 x (*.f64 1/160 (pow.f64 x 5)))) |
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 1/160 (pow.f64 x 5) (*.f64 3/4 x))) |
(fma.f64 3/4 x (fma.f64 -1/8 (pow.f64 x 3) (*.f64 1/160 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/6720 (pow.f64 x 7)) (+.f64 (*.f64 3/4 x) (*.f64 1/160 (pow.f64 x 5))))) |
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/6720 (pow.f64 x 7) (fma.f64 3/4 x (*.f64 1/160 (pow.f64 x 5))))) |
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/6720 (pow.f64 x 7) (fma.f64 1/160 (pow.f64 x 5) (*.f64 3/4 x)))) |
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 1/160 (pow.f64 x 5) (fma.f64 -1/6720 (pow.f64 x 7) (*.f64 3/4 x)))) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 2/3 x) |
(*.f64 x 2/3) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) |
(fma.f64 x 2/3 (*.f64 (pow.f64 x 3) 1/18)) |
(fma.f64 (pow.f64 x 3) 1/18 (*.f64 x 2/3)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180))) |
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 x 2/3 (*.f64 (pow.f64 x 5) 1/180))) |
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 5) 1/180 (*.f64 x 2/3))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180)))) |
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 7) 17/30240 (fma.f64 x 2/3 (*.f64 (pow.f64 x 5) 1/180)))) |
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 5) 1/180 (fma.f64 (pow.f64 x 7) 17/30240 (*.f64 x 2/3)))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/4))) 1) |
(*.f64 3/4 (sin.f64 x)) |
(pow.f64 (*.f64 (sin.f64 x) 3/4) 1) |
(*.f64 3/4 (sin.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/4)) 2) |
(*.f64 3/4 (sin.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 3) |
(*.f64 3/4 (sin.f64 x)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 3) 1/3) |
(*.f64 3/4 (sin.f64 x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2)) |
(*.f64 3/4 (sin.f64 x)) |
(log.f64 (pow.f64 (exp.f64 3/4) (sin.f64 x))) |
(*.f64 3/4 (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/4)))) |
(*.f64 3/4 (sin.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 3)) |
(*.f64 3/4 (sin.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/4))) |
(*.f64 3/4 (sin.f64 x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/4))) |
(*.f64 3/4 (sin.f64 x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/4))) |
(*.f64 3/4 (sin.f64 x)) |
(+.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(+.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x))) (/.f64 4/3 (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) 1) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 1 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 1) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2)) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2)))) |
(*.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2) (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -4/3 (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1)) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) 3/4)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 3/4)) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) 3/4)))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 3/4 (sin.f64 x)))) 1) (cbrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) 2))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 3/4 (sin.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) 2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 3/4 (sin.f64 x))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2)))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 3/4 (sin.f64 x)))) 1) (cbrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) 2))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 3/4 (sin.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) 2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 3/4 (sin.f64 x))))) |
(*.f64 (/.f64 -4/3 (sin.f64 x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4)) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 3/4)) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) 3/4)))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 3/4 (sin.f64 x)))) 1) (cbrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) 2))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 3/4 (sin.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) 2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 3/4 (sin.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2)))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 3/4 (sin.f64 x)))) 1) (cbrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) 2))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 3/4 (sin.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) 2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 3/4 (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sin.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4)) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 3/4) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/4)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 (*.f64 (sin.f64 x) 3/4)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2))) (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) |
(*.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) 2)))) |
(pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 1) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 3) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(pow.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3) 1/3) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(neg.f64 (/.f64 (tan.f64 (/.f64 x 2)) -3/4)) |
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4) |
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 2)) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(log.f64 (exp.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3)) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(exp.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.17% | (/.f64 1 (cos.f64 (*.f64 x 1/2))) |
| ✓ | 0.21% | (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))) |
| ✓ | 0.54% | (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))) 4/3) |
Compiled 46 to 37 computations (19.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 1 (cos.f64 (*.f64 x 1/2))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (cos.f64 (*.f64 x 1/2))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (cos.f64 (*.f64 x 1/2))) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))) 4/3) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))) 4/3) |
| 1× | batch-egg-rewrite |
| 1084× | *-commutative |
| 744× | unswap-sqr |
| 682× | swap-sqr |
| 654× | associate-*r/ |
| 436× | associate-*l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 77 |
| 1 | 261 | 45 |
| 2 | 2984 | 45 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))) 4/3) |
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 4/3) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (neg.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (cos.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) (/.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) 1)) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -1) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))) (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 x 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))))))))) |
| 1× | egg-herbie |
| 798× | +-commutative |
| 692× | associate-/l* |
| 560× | distribute-rgt-in |
| 560× | distribute-lft-in |
| 554× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 407 | 5850 |
| 1 | 960 | 5742 |
| 2 | 3623 | 5714 |
| 3 | 7901 | 5714 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
1 |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1 (*.f64 5/384 (pow.f64 x 4)))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 61/46080 (pow.f64 x 6)) (+.f64 1 (*.f64 5/384 (pow.f64 x 4))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 x))) |
(/.f64 1 (cos.f64 (*.f64 1/2 x))) |
(/.f64 1 (cos.f64 (*.f64 1/2 x))) |
(/.f64 1 (cos.f64 (*.f64 1/2 x))) |
(/.f64 1 (cos.f64 (*.f64 1/2 x))) |
(/.f64 1 (cos.f64 (*.f64 1/2 x))) |
(/.f64 1 (cos.f64 (*.f64 1/2 x))) |
(/.f64 1 (cos.f64 (*.f64 1/2 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3)) |
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 4/3) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 4/3 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 4/3 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
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(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) -1) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))) |
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(/.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
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(*.f64 -1 (/.f64 -1 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 -1 (cos.f64 (*.f64 x 1/2))) -1) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -1) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2) -1)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))))) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))) (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)))) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3) 1/6)) |
(pow.f64 (cos.f64 (*.f64 x 1/2)) -1) |
(pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 1) |
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) -2) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3) 1/3) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))))) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))))) |
| Outputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7))))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(*.f64 1/2 x) |
(*.f64 x 1/2) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/24)) |
(fma.f64 (pow.f64 x 3) 1/24 (*.f64 x 1/2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/24))) |
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 (pow.f64 x 5) 1/240))) |
(fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x 1/2 (*.f64 (pow.f64 x 5) 1/240))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))) |
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/24)))) |
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 5) 1/240 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 (pow.f64 x 7) 17/40320)))) |
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (pow.f64 x 5) 1/240 (*.f64 (pow.f64 x 7) 17/40320)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
1 |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1) |
(fma.f64 1/8 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x 1/8) 1) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1 (*.f64 5/384 (pow.f64 x 4)))) |
(+.f64 (fma.f64 1/8 (*.f64 x x) 1) (*.f64 5/384 (pow.f64 x 4))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 5/384 (pow.f64 x 4) 1)) |
(fma.f64 x (*.f64 x 1/8) (fma.f64 5/384 (pow.f64 x 4) 1)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 61/46080 (pow.f64 x 6)) (+.f64 1 (*.f64 5/384 (pow.f64 x 4))))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 61/46080 (pow.f64 x 6) (+.f64 1 (*.f64 5/384 (pow.f64 x 4))))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 61/46080 (pow.f64 x 6) (fma.f64 5/384 (pow.f64 x 4) 1))) |
(fma.f64 x (*.f64 x 1/8) (fma.f64 5/384 (pow.f64 x 4) (fma.f64 61/46080 (pow.f64 x 6) 1))) |
(/.f64 1 (cos.f64 (*.f64 1/2 x))) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(/.f64 1 (cos.f64 (*.f64 1/2 x))) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(/.f64 1 (cos.f64 (*.f64 1/2 x))) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(/.f64 1 (cos.f64 (*.f64 1/2 x))) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(/.f64 1 (cos.f64 (*.f64 1/2 x))) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(/.f64 1 (cos.f64 (*.f64 1/2 x))) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(/.f64 1 (cos.f64 (*.f64 1/2 x))) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(/.f64 1 (cos.f64 (*.f64 1/2 x))) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3)) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 4/3) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 4/3 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cos.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 4/3 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 4/3 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) 1)) (cos.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 1) (cos.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) 4/3)) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) |
(*.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) |
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) -1) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)))) |
(*.f64 (/.f64 4/3 (/.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))) |
(/.f64 (*.f64 (*.f64 4/3 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 4/3 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (*.f64 4/3 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (*.f64 4/3 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (*.f64 4/3 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 4/3 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (*.f64 4/3 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) |
(/.f64 4/3 (/.f64 (/.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) 4/3)) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) |
(*.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) |
(/.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)) (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)))) |
(*.f64 (/.f64 4/3 (/.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 4/3) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 4/3) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) 4/3) (cos.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) 4/3) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
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(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 -1)) |
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) |
(/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 1) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -1) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) 1) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) 1) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)))) |
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) 3) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) 1) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2)) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1) |
(tan.f64 (*.f64 x 1/2)) |
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2) |
(tan.f64 (*.f64 x 1/2)) |
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3) |
(tan.f64 (*.f64 x 1/2)) |
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3) |
(tan.f64 (*.f64 x 1/2)) |
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) |
(tan.f64 (*.f64 x 1/2)) |
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) |
(tan.f64 (*.f64 x 1/2)) |
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2))))) |
(tan.f64 (*.f64 x 1/2)) |
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) |
(tan.f64 (*.f64 x 1/2)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))) |
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3))) |
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) |
(tan.f64 (*.f64 x 1/2)) |
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) |
(tan.f64 (*.f64 x 1/2)) |
(tan.f64 (*.f64 x 1/2)) |
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2)))) |
(tan.f64 (*.f64 x 1/2)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))))) 1) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(*.f64 1 (/.f64 1 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 1) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 -1 (/.f64 -1 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 -1 (cos.f64 (*.f64 x 1/2))) -1) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) -1)) |
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -1)) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -1) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2) -1)) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)))))) |
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)))) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))) (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))))) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)))))) |
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)))) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) 3/2)) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3) 1/6)) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(pow.f64 (cos.f64 (*.f64 x 1/2)) -1) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 1) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) -2) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) 2) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) 3) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(pow.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3) 1/3) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3)) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 1 (cos.f64 (*.f64 x 1/2))) |
Compiled 21772 to 15982 computations (26.6% saved)
29 alts after pruning (23 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1089 | 23 | 1112 |
| Fresh | 6 | 0 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 6 | 9 |
| Total | 1099 | 29 | 1128 |
| Status | Error | Program |
|---|---|---|
| 49.92% | (pow.f64 (/.f64 3/2 x) -1) | |
| 0.53% | (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1) | |
| 69.95% | (/.f64 (/.f64 8/3 x) (+.f64 1/3 (/.f64 (/.f64 4 x) x))) | |
| 87.33% | (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x (*.f64 x 4/9))) (*.f64 (*.f64 x x) -4/9)) 0) (-.f64 (*.f64 x 2/3) 0)) | |
| 70.84% | (/.f64 (-.f64 (/.f64 1 (*.f64 (/.f64 3/2 x) (/.f64 3/2 x))) 0) (-.f64 (*.f64 x 2/3) 0)) | |
| ✓ | 46.74% | (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
| ✓ | 46.47% | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
| 46.79% | (/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 (sin.f64 x) 3/4)) | |
| 70.06% | (/.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (+.f64 1/3 (/.f64 (/.f64 4 x) x))) | |
| 0.27% | (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) | |
| 0.24% | (/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4) | |
| 89.83% | (/.f64 8 (sin.f64 x)) | |
| 0.64% | (/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) | |
| 49.83% | (/.f64 8/27 (/.f64 4/9 x)) | |
| ✓ | 95.03% | (-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
| 70.44% | (*.f64 (/.f64 (*.f64 x x) x) 2/3) | |
| 70.42% | (*.f64 (/.f64 (*.f64 x x) 1) (/.f64 4/9 (*.f64 x 2/3))) | |
| 70.45% | (*.f64 (/.f64 (*.f64 x x) 2/3) (/.f64 4/9 x)) | |
| 49.94% | (*.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x)) | |
| 70.53% | (*.f64 (/.f64 3/2 x) (*.f64 x (*.f64 x 4/9))) | |
| ✓ | 46.53% | (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
| 70.49% | (*.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x))) | |
| 50.21% | (*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x))) | |
| ✓ | 0.54% | (*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
| 50.04% | (*.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x))) | |
| ✓ | 49.9% | (*.f64 x 2/3) |
| 70.5% | (*.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x)) | |
| 70.43% | (*.f64 4/9 (/.f64 (*.f64 x x) (*.f64 x 2/3))) | |
| 70.48% | (*.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x))) |
Compiled 304 to 234 computations (23% saved)
| Inputs |
|---|
(*.f64 x 2/3) |
(/.f64 8/27 (/.f64 4/9 x)) |
(*.f64 (/.f64 (*.f64 x x) x) 2/3) |
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
(*.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x))) |
(*.f64 4/9 (/.f64 (*.f64 x x) (*.f64 x 2/3))) |
(*.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x)) |
(*.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x))) |
(*.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x))) |
(*.f64 (/.f64 3/2 x) (*.f64 x (*.f64 x 4/9))) |
(*.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x)) |
(*.f64 (/.f64 (*.f64 x x) 2/3) (/.f64 4/9 x)) |
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x))) |
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 4/9 (*.f64 x 2/3))) |
(/.f64 (/.f64 8/3 x) (+.f64 1/3 (/.f64 (/.f64 4 x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
(/.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (+.f64 1/3 (/.f64 (/.f64 4 x) x))) |
(/.f64 (-.f64 (/.f64 1 (*.f64 (/.f64 3/2 x) (/.f64 3/2 x))) 0) (-.f64 (*.f64 x 2/3) 0)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x (*.f64 x 4/9))) (*.f64 (*.f64 x x) -4/9)) 0) (-.f64 (*.f64 x 2/3) 0)) |
(/.f64 8 (sin.f64 x)) |
(pow.f64 (/.f64 3/2 x) -1) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) |
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4) |
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x)) |
(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 (/.f64 4 x) x))) |
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 4/3 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) |
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))) 4/3) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 -1 (/.f64 (*.f64 (sin.f64 x) -3/8) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(/.f64 (*.f64 8/3 (+.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x))) -1)) (sin.f64 x)) |
(/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 3/8) |
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 (sin.f64 x) 3/4)) |
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
(*.f64 (exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) 4/3) |
(sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) |
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8)) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)) |
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) (sin.f64 x)) |
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
(/.f64 (expm1.f64 (log.f64 (+.f64 (*.f64 (cos.f64 x) -4/3) 7/3))) (sin.f64 x)) |
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)) |
(/.f64 (*.f64 8/3 (expm1.f64 (log.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x)))))) (sin.f64 x)) |
(/.f64 (*.f64 8/3 (log.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (sin.f64 x)) |
| Outputs |
|---|
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4) |
2 calls:
| 26.0ms | x |
| 23.0ms | (/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.24% | 1 | x |
| 0.24% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
Compiled 674 to 478 computations (29.1% saved)
| Inputs |
|---|
(*.f64 x 2/3) |
(/.f64 8/27 (/.f64 4/9 x)) |
(*.f64 (/.f64 (*.f64 x x) x) 2/3) |
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
(*.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x))) |
(*.f64 4/9 (/.f64 (*.f64 x x) (*.f64 x 2/3))) |
(*.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x)) |
(*.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x))) |
(*.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x))) |
(*.f64 (/.f64 3/2 x) (*.f64 x (*.f64 x 4/9))) |
(*.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x)) |
(*.f64 (/.f64 (*.f64 x x) 2/3) (/.f64 4/9 x)) |
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x))) |
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 4/9 (*.f64 x 2/3))) |
(/.f64 (/.f64 8/3 x) (+.f64 1/3 (/.f64 (/.f64 4 x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
(/.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (+.f64 1/3 (/.f64 (/.f64 4 x) x))) |
(/.f64 (-.f64 (/.f64 1 (*.f64 (/.f64 3/2 x) (/.f64 3/2 x))) 0) (-.f64 (*.f64 x 2/3) 0)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x (*.f64 x 4/9))) (*.f64 (*.f64 x x) -4/9)) 0) (-.f64 (*.f64 x 2/3) 0)) |
(/.f64 8 (sin.f64 x)) |
(pow.f64 (/.f64 3/2 x) -1) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) |
| Outputs |
|---|
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
1 calls:
| 12.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.54% | 1 | x |
Compiled 223 to 154 computations (30.9% saved)
| Inputs |
|---|
(*.f64 x 2/3) |
(/.f64 8/27 (/.f64 4/9 x)) |
(*.f64 (/.f64 (*.f64 x x) x) 2/3) |
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
(*.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x))) |
(*.f64 4/9 (/.f64 (*.f64 x x) (*.f64 x 2/3))) |
(*.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x)) |
(*.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x))) |
(*.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x))) |
(*.f64 (/.f64 3/2 x) (*.f64 x (*.f64 x 4/9))) |
(*.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x)) |
(*.f64 (/.f64 (*.f64 x x) 2/3) (/.f64 4/9 x)) |
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x))) |
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 4/9 (*.f64 x 2/3))) |
(/.f64 (/.f64 8/3 x) (+.f64 1/3 (/.f64 (/.f64 4 x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
(/.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (+.f64 1/3 (/.f64 (/.f64 4 x) x))) |
(/.f64 (-.f64 (/.f64 1 (*.f64 (/.f64 3/2 x) (/.f64 3/2 x))) 0) (-.f64 (*.f64 x 2/3) 0)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x (*.f64 x 4/9))) (*.f64 (*.f64 x x) -4/9)) 0) (-.f64 (*.f64 x 2/3) 0)) |
(/.f64 8 (sin.f64 x)) |
(pow.f64 (/.f64 3/2 x) -1) |
| Outputs |
|---|
(/.f64 8 (sin.f64 x)) |
(/.f64 8/27 (/.f64 4/9 x)) |
(/.f64 8 (sin.f64 x)) |
1 calls:
| 29.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 43.23% | 3 | x |
Compiled 211 to 144 computations (31.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 0.09913525396986878 | 75.74527439212247 |
| 31.0ms | -325.9984686511813 | -0.10606235365642472 |
| 58.0ms | 256× | body | 256 | valid |
Compiled 229 to 193 computations (15.7% saved)
Total -30.4b remaining (-95.4%)
Threshold costs -30.4b (-95.4%)
| Inputs |
|---|
(*.f64 x 2/3) |
(/.f64 8/27 (/.f64 4/9 x)) |
(*.f64 (/.f64 (*.f64 x x) x) 2/3) |
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
(*.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x))) |
(*.f64 4/9 (/.f64 (*.f64 x x) (*.f64 x 2/3))) |
(*.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x)) |
(*.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x))) |
(*.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x))) |
(*.f64 (/.f64 3/2 x) (*.f64 x (*.f64 x 4/9))) |
(*.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x)) |
(*.f64 (/.f64 (*.f64 x x) 2/3) (/.f64 4/9 x)) |
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x))) |
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 4/9 (*.f64 x 2/3))) |
(/.f64 (/.f64 8/3 x) (+.f64 1/3 (/.f64 (/.f64 4 x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
(/.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (+.f64 1/3 (/.f64 (/.f64 4 x) x))) |
(/.f64 (-.f64 (/.f64 1 (*.f64 (/.f64 3/2 x) (/.f64 3/2 x))) 0) (-.f64 (*.f64 x 2/3) 0)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x (*.f64 x 4/9))) (*.f64 (*.f64 x x) -4/9)) 0) (-.f64 (*.f64 x 2/3) 0)) |
| Outputs |
|---|
(/.f64 8/27 (/.f64 4/9 x)) |
1 calls:
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 49.83% | 1 | x |
Compiled 202 to 137 computations (32.2% saved)
| 1× | egg-herbie |
| 8× | *-commutative |
| 4× | sub-neg |
| 4× | neg-mul-1 |
| 4× | +-commutative |
| 4× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 107 |
| 1 | 43 | 107 |
| 2 | 47 | 107 |
| 3 | 50 | 107 |
| 4 | 51 | 107 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(if (<=.f64 x -3039929748475085/1125899906842624) (/.f64 8 (sin.f64 x)) (if (<=.f64 x 3039929748475085/1125899906842624) (/.f64 8/27 (/.f64 4/9 x)) (/.f64 8 (sin.f64 x)))) |
(/.f64 8/27 (/.f64 4/9 x)) |
(*.f64 x 2/3) |
| Outputs |
|---|
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(if (<=.f64 x -3039929748475085/1125899906842624) (/.f64 8 (sin.f64 x)) (if (<=.f64 x 3039929748475085/1125899906842624) (/.f64 8/27 (/.f64 4/9 x)) (/.f64 8 (sin.f64 x)))) |
(if (or (<=.f64 x -3039929748475085/1125899906842624) (not (<=.f64 x 3039929748475085/1125899906842624))) (/.f64 8 (sin.f64 x)) (/.f64 8/27 (/.f64 4/9 x))) |
(/.f64 8/27 (/.f64 4/9 x)) |
(*.f64 x 2/3) |
Compiled 44 to 36 computations (18.2% saved)
| 3× | egg-herbie |
| 1576× | associate-/l* |
| 1054× | associate-/l/ |
| 774× | associate-*r/ |
| 682× | times-frac |
| 678× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 43 |
| 1 | 22 | 43 |
| 2 | 33 | 43 |
| 3 | 45 | 43 |
| 4 | 56 | 43 |
| 5 | 60 | 43 |
| 0 | 700 | 11172 |
| 1 | 1772 | 9948 |
| 2 | 7730 | 9948 |
| 0 | 173 | 1798 |
| 1 | 436 | 1774 |
| 2 | 1454 | 1774 |
| 3 | 6075 | 1774 |
| 1× | node limit |
| 1× | node limit |
| 1× | saturated |
Compiled 150 to 111 computations (26% saved)
Compiled 40 to 32 computations (20% saved)
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