Time bar (total: 9.2s)
| 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)
| 1.5s | 2043× | body | 1024 | valid |
| 1.1s | 5160× | body | 256 | valid |
| 423.0ms | 1045× | body | 512 | valid |
| 8.0ms | 8× | 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 |
|---|---|---|
| ▶ | 16.6b | (/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
| ▶ | 16.6b | (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) |
| ▶ | 16.6b | (*.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 |
|---|---|---|
| ✓ | 0.2b | (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) |
| ✓ | 0.3b | (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3) |
| ✓ | 16.4b | (/.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 |
|---|---|---|
| 0.2b | (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) | |
| ✓ | 0.3b | (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
| ✓ | 16.4b | (/.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 | @ | 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 | @ | 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 (*.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 |
|---|---|---|
| ✓ | 0.2b | (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
| ✓ | 0.3b | (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) |
| ✓ | 16.4b | (/.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)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 782 | 14 | 796 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 0 | 2 |
| Total | 785 | 14 | 799 |
| Status | Error | Program |
|---|---|---|
| 16.6b | (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x))) | |
| ▶ | 16.5b | (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8) |
| ▶ | 35.3b | (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
| 35.1b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) | |
| 35.1b | (/.f64 (*.f64 8/3 (/.f64 1 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (sin.f64 x)) | |
| 42.5b | (/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x)) | |
| 35.1b | (/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) | |
| ▶ | 26.8b | (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
| 35.1b | (*.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x))) | |
| 49.9b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 4/3 (sqrt.f64 (sin.f64 x)))) | |
| 35.1b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3) | |
| ▶ | 0.2b | (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) |
| 0.3b | (*.f64 (tan.f64 (/.f64 x 2)) 4/3) | |
| ▶ | 26.2b | (*.f64 x 2/3) |
Compiled 310 to 248 computations (20% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) |
| ✓ | 0.1b | (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
| ✓ | 0.1b | (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) |
Compiled 40 to 28 computations (30% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) |
| 1× | batch-egg-rewrite |
| 1268× | associate-/r* |
| 1146× | associate-/l* |
| 946× | unswap-sqr |
| 810× | swap-sqr |
| 256× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 81 |
| 1 | 256 | 71 |
| 2 | 3239 | 71 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 x) 3/8) (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 3/8 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 x) -3/8) (neg.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 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1/2)) 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))))) |
| 1× | egg-herbie |
| 1612× | associate-/l* |
| 912× | associate-/l/ |
| 850× | times-frac |
| 848× | associate-/r* |
| 842× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 686 | 14178 |
| 1 | 1810 | 14104 |
| 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))) |
1/2 |
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2)))) |
(+.f64 1/2 (+.f64 (*.f64 61/92160 (pow.f64 x 6)) (+.f64 (*.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2))))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (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 (exp.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 1) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) 1)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 1)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 1)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 x) -3/8) (neg.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 1) |
(/.f64 1 (*.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3/8)) |
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 1 (/.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 1 (/.f64 (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 1 (/.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8) (neg.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 1 (/.f64 (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) |
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (/.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) |
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (/.f64 3/8 (*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 8/3))) |
(/.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 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (/.f64 3/8 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))) |
(/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))) |
(/.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) |
(/.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (/.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2) (/.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2) (/.f64 3/8 (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))) |
(/.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 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (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 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 8/3))) |
(/.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 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (/.f64 3/8 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))) |
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8)) |
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) -3/8))) |
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (sin.f64 x) 8/3)) |
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3/8) |
(/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) (sin.f64 x)) |
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 8/3 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 -3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (/.f64 -1 (sin.f64 x)))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -8/3)) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (neg.f64 (*.f64 (sin.f64 x) -3/8)) (neg.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 -3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (sin.f64 x) -3/8) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) 1)) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 -3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 1)) |
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(sqrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 2)) |
(log.f64 (exp.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 3) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) |
(exp.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1) |
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) |
(*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 -1 (sin.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.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 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -1) |
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) 1)) |
(neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 -1 (sin.f64 x)))) |
(neg.f64 (*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))) |
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) 1) |
(*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) |
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1) |
(*.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 8/3)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 8/3)) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -8/3) |
(*.f64 -8/3 (neg.f64 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.f64 3/8 (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.f64 3/8 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 3/8) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3/8) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))) |
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 3) 1/3) |
(pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) -1) |
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8)) |
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8) 1)) |
(neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3)) |
(neg.f64 (*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 3/8)) |
(sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)) |
(log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) |
| 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 1/180 (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 (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)) |
1/2 |
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 1/16 (*.f64 x x))) |
(+.f64 1/2 (*.f64 x (*.f64 x 1/16))) |
(+.f64 1/2 (+.f64 (*.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2)))) |
(+.f64 1/2 (fma.f64 5/768 (pow.f64 x 4) (*.f64 1/16 (*.f64 x x)))) |
(+.f64 1/2 (fma.f64 5/768 (pow.f64 x 4) (*.f64 x (*.f64 x 1/16)))) |
(+.f64 1/2 (+.f64 (*.f64 61/92160 (pow.f64 x 6)) (+.f64 (*.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2))))) |
(+.f64 1/2 (fma.f64 61/92160 (pow.f64 x 6) (fma.f64 5/768 (pow.f64 x 4) (*.f64 1/16 (*.f64 x x))))) |
(+.f64 1/2 (fma.f64 61/92160 (pow.f64 x 6) (fma.f64 5/768 (pow.f64 x 4) (*.f64 x (*.f64 x 1/16))))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
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(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) |
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(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 1 (sin.f64 x)))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x)))))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3) 1/3) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
(pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -1) |
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(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
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(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) 1)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
(neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 -1 (sin.f64 x)))) |
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(neg.f64 (*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3))) |
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(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
(exp.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1)) |
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(log1p.f64 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) |
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(*.f64 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) 8/3) |
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(*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))) |
(*.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))) |
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(*.f64 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) 8/3) |
(*.f64 8/3 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
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(*.f64 (*.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))) (*.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (*.f64 (*.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 32/9 (*.f64 64/9 (*.f64 -1/2 (cos.f64 x)))))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 32/9 (*.f64 64/9 (*.f64 -1/2 (cos.f64 x)))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 32/9 (*.f64 64/9 (*.f64 -1/2 (cos.f64 x)))))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 32/9 (*.f64 64/9 (*.f64 -1/2 (cos.f64 x)))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))) (*.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (*.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 32/9 (*.f64 64/9 (*.f64 -1/2 (cos.f64 x)))))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 32/9 (*.f64 64/9 (*.f64 -1/2 (cos.f64 x)))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))) |
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 2) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 3) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 3) 1/3) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) -1) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8)) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8) 1)) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3)) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(neg.f64 (*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 3/8)) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)) |
(sqrt.f64 (+.f64 32/9 (*.f64 64/9 (*.f64 -1/2 (cos.f64 x))))) |
(log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 3)) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 1)) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 x 2/3) |
Compiled 6 to 4 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | 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 |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
| ✓ | 0.3b | (*.f64 2/3 x) |
| ✓ | 0.4b | (*.f64 1/18 (pow.f64 x 3)) |
Compiled 25 to 19 computations (24% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 1/18 (pow.f64 x 3)) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
| 1.0ms | x | @ | 0 | (*.f64 1/18 (pow.f64 x 3)) |
| 0.0ms | x | @ | -inf | (*.f64 1/18 (pow.f64 x 3)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
| 1× | batch-egg-rewrite |
| 858× | *-commutative |
| 682× | unswap-sqr |
| 540× | swap-sqr |
| 410× | distribute-lft-in |
| 404× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 41 |
| 1 | 222 | 41 |
| 2 | 2643 | 41 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/18 (pow.f64 x 3)) |
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/18 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/18)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/324))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/18) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/18 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/18 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/18 (pow.f64 x 3)))))))) |
((#(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 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) (exp.f64 (log1p.f64 (*.f64 x 2/3)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 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 (*.f64 (pow.f64 x 3) 8/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) x))))) (#(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 log1p.f64 (expm1.f64 (*.f64 x 2/3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) (-.f64 1 (*.f64 1/18 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) (-.f64 1 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) 1/324)) (/.f64 4/9 (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/18 (pow.f64 x 3)) (exp.f64 (log1p.f64 (*.f64 x 2/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x 2/3) (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 2/3 (*.f64 1/18 (*.f64 x x))))))) 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x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) (*.f64 1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) (*.f64 1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 1/324) (*.f64 x x)) (*.f64 x (cbrt.f64 1/18)) (*.f64 x 2/3)))))) |
| 1× | egg-herbie |
| 1480× | associate-*r/ |
| 1210× | associate-*l/ |
| 706× | associate-+r+ |
| 594× | associate-*r* |
| 564× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 357 | 7266 |
| 1 | 1001 | 6816 |
| 2 | 4443 | 6804 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 x) |
(*.f64 1/18 (pow.f64 x 3)) |
(*.f64 1/18 (pow.f64 x 3)) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) -1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) 1) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) 1)) |
(pow.f64 (*.f64 1/18 (pow.f64 x 3)) 1) |
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) 2) |
(pow.f64 (*.f64 x (cbrt.f64 1/18)) 3) |
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/324)) |
(log.f64 (pow.f64 (exp.f64 1/18) (pow.f64 x 3))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/18 (pow.f64 x 3))))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832)) |
(expm1.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) |
(exp.f64 (log.f64 (*.f64 1/18 (pow.f64 x 3)))) |
(log1p.f64 (expm1.f64 (*.f64 1/18 (pow.f64 x 3)))) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) -1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 1) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) (exp.f64 (log1p.f64 (*.f64 x 2/3)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 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 (*.f64 (pow.f64 x 3) 8/27) 1/3) |
(sqrt.f64 (*.f64 4/9 (*.f64 x x))) |
(log.f64 (pow.f64 (exp.f64 2/3) x)) |
(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))) |
(log1p.f64 (expm1.f64 (*.f64 x 2/3))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) (-.f64 1 (*.f64 1/18 (pow.f64 x 3)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) (-.f64 1 (*.f64 x 2/3))) |
(-.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) 1/324)) (/.f64 4/9 (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1/18 (pow.f64 x 3)) (exp.f64 (log1p.f64 (*.f64 x 2/3)))) 1) |
(-.f64 (+.f64 (*.f64 x 2/3) (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3))))) 1) |
(*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3)) |
(*.f64 x (+.f64 2/3 (*.f64 1/18 (*.f64 x x)))) |
(*.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) 1) |
(*.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) |
(*.f64 (sqrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) (sqrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) |
(*.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) (pow.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) 2) (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) |
(*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9)) (/.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18)))))) |
(*.f64 (+.f64 (*.f64 4/9 (*.f64 x x)) (*.f64 -1/324 (pow.f64 x 6))) (/.f64 1 (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18)))) |
(*.f64 (/.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27))) |
(*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9))) (/.f64 1 (neg.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))))) |
(*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27))) (/.f64 1 (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9)) (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9)) (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 -8/27 (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27)) (-.f64 (*.f64 (pow.f64 x 12) 1/104976) (pow.f64 (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))) 2))) (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x -2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))))) |
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(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))) |
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(log1p.f64 (expm1.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) |
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3))) |
(fma.f64 (pow.f64 x 3) 1/18 (*.f64 x 2/3)) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(fma.f64 1 (*.f64 1/18 (pow.f64 x 3)) (*.f64 x 2/3)) |
(fma.f64 1 (*.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))) |
(fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) (*.f64 1/18 (pow.f64 x 3))) |
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) (*.f64 x 2/3)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) (*.f64 1/18 (pow.f64 x 3))) |
(fma.f64 (*.f64 (cbrt.f64 1/324) (*.f64 x x)) (*.f64 x (cbrt.f64 1/18)) (*.f64 x 2/3)) |
| Outputs |
|---|
(*.f64 2/3 x) |
(*.f64 1/18 (pow.f64 x 3)) |
(*.f64 1/18 (pow.f64 x 3)) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) -1) |
(*.f64 1/18 (pow.f64 x 3)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) 1) |
(*.f64 1/18 (pow.f64 x 3)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) 1)) |
(/.f64 (*.f64 (+.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) 1) (*.f64 1/18 (pow.f64 x 3))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) 1)) |
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 1/18 (pow.f64 x 3))))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) 1)) |
(pow.f64 (*.f64 1/18 (pow.f64 x 3)) 1) |
(*.f64 1/18 (pow.f64 x 3)) |
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) 2) |
(pow.f64 (*.f64 x (cbrt.f64 1/18)) 3) |
(*.f64 1/18 (pow.f64 x 3)) |
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832)) |
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/324)) |
(log.f64 (pow.f64 (exp.f64 1/18) (pow.f64 x 3))) |
(*.f64 1/18 (pow.f64 x 3)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/18 (pow.f64 x 3))))) |
(*.f64 1/18 (pow.f64 x 3)) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832)) |
(expm1.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) |
(*.f64 1/18 (pow.f64 x 3)) |
(exp.f64 (log.f64 (*.f64 1/18 (pow.f64 x 3)))) |
(*.f64 1/18 (pow.f64 x 3)) |
(log1p.f64 (expm1.f64 (*.f64 1/18 (pow.f64 x 3)))) |
(*.f64 1/18 (pow.f64 x 3)) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) -1) |
(*.f64 2/3 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 1) |
(*.f64 2/3 x) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) (exp.f64 (log1p.f64 (*.f64 x 2/3)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 1)) |
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (*.f64 2/3 x)))) (*.f64 2/3 x)) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 2/3 x))))) |
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 2/3 x)))) (+.f64 1 (exp.f64 (log1p.f64 (*.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 (*.f64 (pow.f64 x 3) 8/27) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 x 3) 8/27)) |
(sqrt.f64 (*.f64 4/9 (*.f64 x x))) |
(sqrt.f64 (*.f64 x (*.f64 x 4/9))) |
(log.f64 (pow.f64 (exp.f64 2/3) x)) |
(*.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) |
(log1p.f64 (expm1.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) (-.f64 1 (*.f64 1/18 (pow.f64 x 3)))) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) 1) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) (-.f64 1 (*.f64 x 2/3))) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(-.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) 1/324)) (/.f64 4/9 (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) (*.f64 x x)))) |
(-.f64 (*.f64 (/.f64 (pow.f64 x 6) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) 1/324) (*.f64 (/.f64 4/9 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (*.f64 x x))) |
(fma.f64 (/.f64 (pow.f64 x 6) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) 1/324 (/.f64 -4/9 (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1/18 (pow.f64 x 3)) (exp.f64 (log1p.f64 (*.f64 x 2/3)))) 1) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(-.f64 (+.f64 (*.f64 x 2/3) (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3))))) 1) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3)) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(*.f64 x (+.f64 2/3 (*.f64 1/18 (*.f64 x x)))) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(*.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) 1) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(*.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(*.f64 (sqrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) (sqrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(*.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) (pow.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) 2)) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) 2) (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9)) (/.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))) |
(*.f64 (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 x -4/9))) (/.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))) |
(/.f64 (fma.f64 x (*.f64 x -4/9) (*.f64 (pow.f64 x 6) 1/324)) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832 (*.f64 (pow.f64 x 3) 8/27)) 1) (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 2/3 (fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/18)))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 8/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832)) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/18))) (*.f64 (pow.f64 x 6) 1/324))) |
(*.f64 (+.f64 (*.f64 4/9 (*.f64 x x)) (*.f64 -1/324 (pow.f64 x 6))) (/.f64 1 (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18)))) |
(*.f64 (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 x -4/9))) (/.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))) |
(/.f64 (fma.f64 x (*.f64 x -4/9) (*.f64 (pow.f64 x 6) 1/324)) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) |
(*.f64 (/.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9))) |
(*.f64 (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 x -4/9))) (/.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))) |
(/.f64 (fma.f64 x (*.f64 x -4/9) (*.f64 (pow.f64 x 6) 1/324)) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832 (*.f64 (pow.f64 x 3) 8/27)) 1) (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 2/3 (fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/18)))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 8/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832)) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/18))) (*.f64 (pow.f64 x 6) 1/324))) |
(*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9))) (/.f64 1 (neg.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))))) |
(*.f64 (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 x -4/9))) (/.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))) |
(/.f64 (fma.f64 x (*.f64 x -4/9) (*.f64 (pow.f64 x 6) 1/324)) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) |
(*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27))) (/.f64 1 (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832 (*.f64 (pow.f64 x 3) 8/27)) 1) (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 2/3 (fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/18)))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 8/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832)) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/18))) (*.f64 (pow.f64 x 6) 1/324))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9)) (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9)) (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 -8/27 (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 x -4/9))) (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832 (*.f64 (pow.f64 x 3) -8/27))) (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 2/3 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))))) |
(/.f64 (fma.f64 x (*.f64 x -4/9) (*.f64 (pow.f64 x 6) 1/324)) (/.f64 (fma.f64 (pow.f64 x 3) -8/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832)) (fma.f64 x (*.f64 2/3 (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))) (*.f64 (pow.f64 x 6) 1/324)))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27)) (-.f64 (*.f64 (pow.f64 x 12) 1/104976) (pow.f64 (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))) 2))) (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x -2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832 (*.f64 (pow.f64 x 3) 8/27)) (fma.f64 (pow.f64 x 6) 1/324 (*.f64 (*.f64 x -2/3) (fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/18))))) (-.f64 (*.f64 (pow.f64 x 12) 1/104976) (pow.f64 (*.f64 x (*.f64 2/3 (fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/18)))) 2))) |
(/.f64 (fma.f64 (pow.f64 x 3) 8/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832)) (/.f64 (-.f64 (*.f64 (pow.f64 x 12) 1/104976) (pow.f64 (*.f64 2/3 (*.f64 x (fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/18)))) 2)) (fma.f64 (*.f64 x -2/3) (fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/18)) (*.f64 (pow.f64 x 6) 1/324)))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27)) (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/324) 3) (pow.f64 (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))) 3))) (+.f64 (*.f64 (pow.f64 x 12) 1/104976) (*.f64 (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))) (-.f64 (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))) (*.f64 (pow.f64 x 6) 1/324))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832 (*.f64 (pow.f64 x 3) 8/27)) (+.f64 (*.f64 (pow.f64 (pow.f64 x 6) 3) 1/34012224) (pow.f64 (*.f64 x (*.f64 2/3 (fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/18)))) 3))) (fma.f64 (pow.f64 x 12) 1/104976 (*.f64 (*.f64 x (*.f64 2/3 (fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/18)))) (-.f64 (*.f64 x (*.f64 2/3 (fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/18)))) (*.f64 (pow.f64 x 6) 1/324))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 8/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832)) (fma.f64 (*.f64 2/3 (*.f64 x (fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/18)))) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/18))) (*.f64 (pow.f64 x 6) -1/324)) (*.f64 (pow.f64 x 12) 1/104976))) (fma.f64 (pow.f64 (pow.f64 x 3) 6) 1/34012224 (pow.f64 (*.f64 2/3 (*.f64 x (fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/18)))) 3))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) 2)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)))) (cbrt.f64 (sqrt.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)))))) |
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(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27)) 1) (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832 (*.f64 (pow.f64 x 3) 8/27)) 1) (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 2/3 (fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/18)))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 8/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832)) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/18))) (*.f64 (pow.f64 x 6) 1/324))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18)))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832 (*.f64 (pow.f64 x 3) 8/27)) 1) (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 2/3 (fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/18)))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 8/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832)) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/18))) (*.f64 (pow.f64 x 6) 1/324))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832 (*.f64 (pow.f64 x 3) 8/27)) 1) (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 2/3 (fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/18)))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 8/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832)) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/18))) (*.f64 (pow.f64 x 6) 1/324))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) (exp.f64 (log1p.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) 1)) |
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))))) |
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) 1/324)) (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) 1/324))) (*.f64 (/.f64 4/9 (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) (*.f64 x x))) (/.f64 4/9 (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) 1/324)) (/.f64 4/9 (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 x 6) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) 1/324) (*.f64 (/.f64 (pow.f64 x 6) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) 1/324)) (*.f64 (*.f64 (/.f64 4/9 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (*.f64 x x)) (*.f64 (/.f64 4/9 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (*.f64 x x)))) (+.f64 (*.f64 (/.f64 (pow.f64 x 6) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) 1/324) (*.f64 (/.f64 4/9 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (*.f64 x x)))) |
(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x 12) (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) 1/324)) (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) 1/324)) (*.f64 (*.f64 (/.f64 4/9 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (/.f64 4/9 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))) (pow.f64 x 4))) (fma.f64 (/.f64 4/9 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 x 6) 1/324) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x 12) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) 1/104976) (*.f64 (/.f64 (/.f64 16/81 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (pow.f64 x 4))) (fma.f64 (/.f64 4/9 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 x 6) 1/324) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))))) |
(pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) 1) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(pow.f64 (sqrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) 2) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(pow.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) 3) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(pow.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) 3) 1/3) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9)) (neg.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))))) |
(*.f64 (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 x -4/9))) (/.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))) |
(/.f64 (fma.f64 x (*.f64 x -4/9) (*.f64 (pow.f64 x 6) 1/324)) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) |
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832 (*.f64 (pow.f64 x 3) 8/27)) 1) (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 2/3 (fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/18)))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 8/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832)) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/18))) (*.f64 (pow.f64 x 6) 1/324))) |
(sqrt.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) 2)) |
(fabs.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))) |
(log.f64 (exp.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(cbrt.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) 3)) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(expm1.f64 (log1p.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(exp.f64 (log.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(log1p.f64 (expm1.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3))) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 (pow.f64 x 3) 1/18 (*.f64 x 2/3)) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 1 (*.f64 1/18 (pow.f64 x 3)) (*.f64 x 2/3)) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 1 (*.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) (*.f64 1/18 (pow.f64 x 3))) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) (*.f64 x 2/3)) |
(+.f64 (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) 2) (*.f64 2/3 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) (*.f64 1/18 (pow.f64 x 3))) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 (*.f64 (cbrt.f64 1/324) (*.f64 x x)) (*.f64 x (cbrt.f64 1/18)) (*.f64 x 2/3)) |
(fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/324)) (*.f64 x (cbrt.f64 1/18)) (*.f64 2/3 x)) |
(fma.f64 (*.f64 x (*.f64 x (cbrt.f64 1/324))) (*.f64 x (cbrt.f64 1/18)) (*.f64 2/3 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (cos.f64 x) 3/4) |
| ✓ | 0.1b | (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
| ✓ | 2.4b | (-.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 4/3 (/.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 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(sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)))))))) |
((#(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))))) |
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(*.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))))) |
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x)) |
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x)) |
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x)) |
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x)) |
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x)) |
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x)) |
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x)) |
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x)) |
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
4/3 |
(+.f64 4/3 (*.f64 -2/3 (pow.f64 x 2))) |
(+.f64 4/3 (*.f64 (*.f64 x x) -2/3)) |
(fma.f64 (*.f64 x x) -2/3 4/3) |
(+.f64 4/3 (+.f64 (*.f64 1/18 (pow.f64 x 4)) (*.f64 -2/3 (pow.f64 x 2)))) |
(+.f64 4/3 (fma.f64 1/18 (pow.f64 x 4) (*.f64 (*.f64 x x) -2/3))) |
(+.f64 (fma.f64 (*.f64 x x) -2/3 4/3) (*.f64 (pow.f64 x 4) 1/18)) |
(+.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 (fma.f64 -1/540 (pow.f64 x 6) (fma.f64 1/18 (pow.f64 x 4) (*.f64 (*.f64 x x) -2/3)))) |
(+.f64 (fma.f64 (pow.f64 x 6) -1/540 (*.f64 (pow.f64 x 4) 1/18)) (fma.f64 (*.f64 x x) -2/3 4/3)) |
(+.f64 (fma.f64 (*.f64 x x) -2/3 4/3) (fma.f64 (pow.f64 x 6) -1/540 (*.f64 (pow.f64 x 4) 1/18))) |
(*.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)) |
(fma.f64 (cos.f64 x) -4/3 4/3) |
(+.f64 (*.f64 (cos.f64 x) -4/3) 4/3) |
(fma.f64 (cos.f64 x) -4/3 4/3) |
(+.f64 (-.f64 4/3 (exp.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))) 1) |
(fma.f64 (cos.f64 x) -4/3 4/3) |
(*.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 1) |
(fma.f64 (cos.f64 x) -4/3 4/3) |
(*.f64 1 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) |
(fma.f64 (cos.f64 x) -4/3 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)))) |
(fma.f64 (cos.f64 x) -4/3 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)) |
(fma.f64 (cos.f64 x) -4/3 4/3) |
(*.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)))) |
(fma.f64 (cos.f64 x) -4/3 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 16/9 (*.f64 16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) |
(/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 4/3 (cos.f64 x) 4/3)) |
(*.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 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3))) (fma.f64 16/9 (cos.f64 x) (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 16/9))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (*.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 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 16/9 (*.f64 16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) |
(/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 4/3 (cos.f64 x) 4/3)) |
(*.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 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3))) (fma.f64 16/9 (cos.f64 x) (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 16/9))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (*.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9)) |
(*.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))) |
(fma.f64 (cos.f64 x) -4/3 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 16/9 (*.f64 16/9 (pow.f64 (cos.f64 x) 2))) (-.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 16/9) (*.f64 (cos.f64 x) 16/9))) (+.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 64/27 (pow.f64 (cos.f64 x) 3) 64/27)) (*.f64 16/9 (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 64/27 (pow.f64 (cos.f64 x) 3) 64/27)) (+.f64 16/9 (*.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1))))) |
(*.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 (*.f64 64/27 (pow.f64 (cos.f64 x) 3))) (-.f64 256/81 (*.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 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (-.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))))) (-.f64 16/9 (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 16/9) 16/9)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (-.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))))) (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) -16/9) 16/9)))) |
(*.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)))))) |
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(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sqrt.f64 (sin.f64 x))) (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 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.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 1 (sqrt.f64 (sin.f64 x))) (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sqrt.f64 (sin.f64 x))) (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 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 -4/3 (*.f64 4/3 (cos.f64 x)))) |
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.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 (fma.f64 (cos.f64 x) -4/3 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 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(*.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 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(*.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 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.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 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x))) (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 (fma.f64 (cos.f64 x) -4/3 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 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(*.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 (/.f64 1 (sqrt.f64 (sin.f64 x))) (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sqrt.f64 (sin.f64 x))) (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 (/.f64 1 (sqrt.f64 (sin.f64 x))) (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sqrt.f64 (sin.f64 x))) (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 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.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 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(*.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 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(*.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 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) |
(*.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 16/9 (*.f64 16/9 (pow.f64 (cos.f64 x) 2))) (sin.f64 x)) (-.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 16/9) (*.f64 (cos.f64 x) 16/9))) (+.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (*.f64 16/9 (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (*.f64 (fma.f64 64/27 (pow.f64 (cos.f64 x) 3) 64/27) (sin.f64 x)))) |
(*.f64 (+.f64 16/9 (*.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1)))) (/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (*.f64 (fma.f64 64/27 (pow.f64 (cos.f64 x) 3) 64/27) (sin.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 16/9 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (*.f64 (cos.f64 x) 16/9))) (/.f64 (*.f64 (-.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3))) (/.f64 1 (sin.f64 x))) (-.f64 256/81 (*.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 (-.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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8) |
| ✓ | 0.2b | (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
| ✓ | 16.4b | (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) |
Compiled 40 to 29 computations (27.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8) |
| 0.0ms | x | @ | 0 | (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
| 1× | batch-egg-rewrite |
| 1442× | associate-*r/ |
| 1324× | associate-*l/ |
| 1070× | associate-/r* |
| 1020× | associate-/l* |
| 272× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 77 |
| 1 | 277 | 77 |
| 2 | 3339 | 77 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8) |
| Outputs |
|---|
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(*.f64 x 1/2)) 2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2) 3/8) (cbrt.f64 (/.f64 (pow.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)) (*.f64 (sin.f64 x) 3/8)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (neg.f64 (sin.f64 x))) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 -3/8 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2)) 64/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))))))) |
| 1× | egg-herbie |
| 1402× | associate-/r* |
| 1236× | distribute-lft-in |
| 1226× | distribute-rgt-in |
| 970× | associate-/r/ |
| 368× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 294 | 4505 |
| 1 | 693 | 4445 |
| 2 | 2705 | 4445 |
| 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 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 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 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 1) |
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 1) |
(*.f64 1 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (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 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (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 (/.f64 1 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 -1 (sin.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (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 -1 (sin.f64 x)) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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)) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) |
(*.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) |
(*.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)) |
(*.f64 (/.f64 1 (/.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)) |
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 1) |
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) |
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 x 1/2))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1) |
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1) |
(*.f64 1 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.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 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1) |
(/.f64 1 (/.f64 1 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(/.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 (*.f64 2 (*.f64 x 1/2)))) 2) |
(/.f64 (*.f64 1 (-.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)))) 1) 2) |
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) |
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))) 1) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3) |
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1) |
(*.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 8/3)) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 8/3)) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 2) (cbrt.f64 (*.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 x 1/2)) 2) (sin.f64 x))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) -8/3) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (/.f64 1 (sin.f64 x))) |
(*.f64 -8/3 (/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (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 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 3/8) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8)) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 1 (*.f64 (/.f64 3/8 (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 1 (/.f64 3/8 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2))) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2) 3/8) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (sin.f64 x) 3/8)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) |
(*.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 8/3 (neg.f64 (sin.f64 x))) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(*.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2))) |
(*.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)) |
(pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1) |
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3) 1/3) |
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 -3/8 (sin.f64 x)))) |
(sqrt.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2)) 64/9)) |
(log.f64 (exp.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.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)) |
(fma.f64 1/4 x (*.f64 1/48 (pow.f64 x 3))) |
(+.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))) |
(fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/4 x (*.f64 1/480 (pow.f64 x 5)))) |
(+.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)))) |
(fma.f64 17/80640 (pow.f64 x 7) (fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/4 x (*.f64 1/480 (pow.f64 x 5))))) |
(/.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 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))) |
(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 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))) |
(+.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)))) |
(*.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 (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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 1) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) |
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x))) |
(/.f64 (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)) 1) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) |
(*.f64 1 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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)) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (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 (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 (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 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 -1 (sin.f64 x))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x)))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2) |
(*.f64 (/.f64 1 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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)) (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)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.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 (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 (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 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sqrt.f64 (sin.f64 x))) (sqrt.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)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.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)) |
(*.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 (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 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
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(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
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(/.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(/.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)) 8/3) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) |
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(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
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(*.f64 (/.f64 1 (/.f64 3/8 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2))) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) |
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(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2) 8/3) |
(*.f64 8/3 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2) 3/8) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.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) (sin.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 3/8)) |
(*.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) 3/8))) |
(*.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 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2) 8/3) |
(*.f64 8/3 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)) |
(*.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x))) (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (/.f64 8/3 (neg.f64 (sin.f64 x))) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 (/.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 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 8/3 (sin.f64 x)))) |
(pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 3) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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))) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3) 1/3) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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))) |
(pow.f64 (*.f64 3/8 (/.f64 (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) (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))) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 -3/8 (sin.f64 x)))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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))) |
(sqrt.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2)) 64/9)) |
(sqrt.f64 (pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 2)) |
(sqrt.f64 (*.f64 64/9 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2)))) |
(log.f64 (exp.f64 (*.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 x 1/2)) 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))) |
(log.f64 (+.f64 1 (expm1.f64 (*.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 x 1/2)) 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))) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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))) |
(expm1.f64 (log1p.f64 (*.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 x 1/2)) 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))) |
(exp.f64 (log.f64 (*.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 x 1/2)) 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))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 1)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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))) |
(log1p.f64 (expm1.f64 (*.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 x 1/2)) 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))) |
Compiled 22837 to 16587 computations (27.4% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1021 | 4 | 1025 |
| Fresh | 2 | 7 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 3 | 4 |
| Total | 1024 | 15 | 1039 |
| Status | Error | Program |
|---|---|---|
| ✓ | 16.5b | (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8) |
| ▶ | 35.1b | (/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3/8) |
| 16.9b | (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) | |
| ✓ | 35.3b | (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
| ▶ | 35.1b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
| 35.1b | (/.f64 (*.f64 8/3 (/.f64 1 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (sin.f64 x)) | |
| ▶ | 42.5b | (/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x)) |
| ▶ | 26.0b | (/.f64 (*.f64 1/4 x) 3/8) |
| 35.1b | (/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) | |
| 35.1b | (*.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x))) | |
| 35.1b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3) | |
| ✓ | 0.2b | (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) |
| ▶ | 0.3b | (*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
| 26.8b | (*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3)) | |
| ✓ | 26.2b | (*.f64 x 2/3) |
Compiled 285 to 231 computations (18.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (tan.f64 (/.f64 x 2)) |
| ✓ | 0.3b | (*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
Compiled 17 to 13 computations (23.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | 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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (*.f64 1/4 x) 3/8) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 1/4 x) 3/8) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 1/4 x) 3/8) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 1/4 x) 3/8) |
| 1× | batch-egg-rewrite |
| 1418× | add-sqr-sqrt |
| 1376× | *-un-lft-identity |
| 1314× | add-cube-cbrt |
| 1304× | add-cbrt-cube |
| 1290× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 152 | 7 |
| 2 | 1760 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 1/4 x) 3/8) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 1 (/.f64 3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 x) 8/3)))) (#(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 (*.f64 1/2 (sqrt.f64 x)) (*.f64 (*.f64 1/2 (sqrt.f64 x)) 8/3))))) (#(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 (pow.f64 (cbrt.f64 (*.f64 1/4 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/4 x)) 8/3))))) (#(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 8/3 (*.f64 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/4) -8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 x)))) (#(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 pow.f64 (/.f64 3/2 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 1/4 x) -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 2/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 2/3)))))) (#(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 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))))))) |
| 1× | egg-herbie |
| 1214× | associate-/l* |
| 882× | distribute-lft-in |
| 840× | distribute-rgt-in |
| 714× | fma-def |
| 692× | associate-*r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 280 |
| 1 | 153 | 280 |
| 2 | 723 | 280 |
| 3 | 2135 | 280 |
| 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 1 (*.f64 x 2/3)) 1) |
(*.f64 1/4 (*.f64 x 8/3)) |
(*.f64 1/4 (/.f64 1 (/.f64 3/8 x))) |
(*.f64 x 2/3) |
(*.f64 (*.f64 1/4 x) 8/3) |
(*.f64 (*.f64 x 2/3) 1) |
(*.f64 1 (*.f64 x 2/3)) |
(*.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 (*.f64 1/2 (sqrt.f64 x)) 8/3)) |
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/4 x)) 8/3)) |
(*.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 8/3 (*.f64 1/4 x)) |
(*.f64 (*.f64 x -1/4) -8/3) |
(*.f64 2/3 x) |
(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) |
(pow.f64 (/.f64 3/2 x) -1) |
(neg.f64 (/.f64 (*.f64 1/4 x) -3/8)) |
(sqrt.f64 (pow.f64 (*.f64 x 2/3) 2)) |
(log.f64 (exp.f64 (*.f64 x 2/3))) |
(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))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1)) |
(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 1 (*.f64 x 2/3)) 1) |
(*.f64 2/3 x) |
(*.f64 1/4 (*.f64 x 8/3)) |
(*.f64 2/3 x) |
(*.f64 1/4 (/.f64 1 (/.f64 3/8 x))) |
(*.f64 2/3 x) |
(*.f64 x 2/3) |
(*.f64 2/3 x) |
(*.f64 (*.f64 1/4 x) 8/3) |
(*.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 (*.f64 1/2 (sqrt.f64 x)) (*.f64 (*.f64 1/2 (sqrt.f64 x)) 8/3)) |
(*.f64 2/3 x) |
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/4 x)) 8/3)) |
(*.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 8/3 (*.f64 1/4 x)) |
(*.f64 2/3 x) |
(*.f64 (*.f64 x -1/4) -8/3) |
(*.f64 2/3 x) |
(*.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) |
(pow.f64 (/.f64 3/2 x) -1) |
(*.f64 2/3 x) |
(neg.f64 (/.f64 (*.f64 1/4 x) -3/8)) |
(*.f64 2/3 x) |
(sqrt.f64 (pow.f64 (*.f64 x 2/3) 2)) |
(*.f64 2/3 x) |
(log.f64 (exp.f64 (*.f64 x 2/3))) |
(*.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) |
(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) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 2/3 (*.f64 x x)) |
| ✓ | 16.4b | (/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x)) |
Compiled 21 to 9 computations (57.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x)) |
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x)) |
| 0.0ms | x | @ | inf | (*.f64 2/3 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 2/3 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1960× | add-sqr-sqrt |
| 1934× | *-un-lft-identity |
| 1814× | add-cube-cbrt |
| 1794× | add-cbrt-cube |
| 184× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 187 | 36 |
| 2 | 2459 | 36 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x)) |
(*.f64 2/3 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (*.f64 (*.f64 x x) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (/.f64 1 (/.f64 (sin.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 2/3 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (*.f64 x x)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 2/3)) (*.f64 (*.f64 x (sqrt.f64 2/3)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 2) (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (*.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 x) (*.f64 x (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (*.f64 2/3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -2/3) (/.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 2/3 (*.f64 x 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 2/3 (*.f64 x x)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x))) (/.f64 2/3 (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2/3 (sin.f64 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2/3 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 2/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 2/3 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) 1) (/.f64 (*.f64 x (sqrt.f64 2/3)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 x (sqrt.f64 2/3)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) 1) (/.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2/3 x) 1) (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2/3 x) (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2/3 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/2 (/.f64 (sin.f64 x) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 2/3 (*.f64 x x)) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2/3 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2/3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2/3 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1652× | associate-+r- |
| 864× | *-commutative |
| 862× | associate-/r* |
| 848× | associate-/l/ |
| 678× | unswap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 2035 |
| 1 | 455 | 1993 |
| 2 | 2050 | 1993 |
| 3 | 7581 | 1993 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 2/3 x) (*.f64 1/9 (pow.f64 x 3))) |
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 7/540 (pow.f64 x 5)) (*.f64 1/9 (pow.f64 x 3)))) |
(+.f64 (*.f64 31/22680 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 7/540 (pow.f64 x 5)) (*.f64 1/9 (pow.f64 x 3))))) |
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x))) |
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x))) |
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x))) |
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x))) |
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x))) |
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x))) |
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x))) |
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x))) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) 1) |
(*.f64 2/3 (*.f64 (*.f64 x x) (/.f64 1 (sin.f64 x)))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (/.f64 1 (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 (*.f64 x x) (*.f64 2/3 (/.f64 1 (sin.f64 x)))) |
(*.f64 (*.f64 2/3 (*.f64 x x)) (/.f64 1 (sin.f64 x))) |
(*.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 1) |
(*.f64 1 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (*.f64 x (sqrt.f64 2/3)) (*.f64 (*.f64 x (sqrt.f64 2/3)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 2) (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (*.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (*.f64 2/3 x) (*.f64 x (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 2/3 (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x x) -2/3) (/.f64 1 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 2/3 (*.f64 x x)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 2/3 (*.f64 x x)) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x))) (/.f64 2/3 (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 2/3 (sin.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 2/3 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 2/3 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 2/3 (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) 1) (/.f64 (*.f64 x (sqrt.f64 2/3)) (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 x (sqrt.f64 2/3)) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) 1) (/.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) |
(*.f64 (/.f64 (*.f64 2/3 x) 1) (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 2/3 x) (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 2/3 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 1) |
(pow.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 3) |
(pow.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 3) 1/3) |
(pow.f64 (*.f64 3/2 (/.f64 (sin.f64 x) (*.f64 x x))) -1) |
(neg.f64 (/.f64 (*.f64 2/3 (*.f64 x x)) (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 2)) |
(log.f64 (exp.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) |
(exp.f64 (log.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (*.f64 x x)))) 1) |
(pow.f64 (*.f64 2/3 (*.f64 x x)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 2/3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (*.f64 2/3 (*.f64 x x)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 4/9)) |
(log.f64 (pow.f64 (exp.f64 2/3) (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (*.f64 2/3 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 2/3 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 2/3 (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (*.f64 x x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 2/3 (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 2/3 x) (*.f64 1/9 (pow.f64 x 3))) |
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3))) |
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x)) |
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 7/540 (pow.f64 x 5)) (*.f64 1/9 (pow.f64 x 3)))) |
(fma.f64 2/3 x (fma.f64 7/540 (pow.f64 x 5) (*.f64 1/9 (pow.f64 x 3)))) |
(fma.f64 2/3 x (fma.f64 1/9 (pow.f64 x 3) (*.f64 7/540 (pow.f64 x 5)))) |
(fma.f64 1/9 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 7/540 (pow.f64 x 5)))) |
(+.f64 (*.f64 31/22680 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 7/540 (pow.f64 x 5)) (*.f64 1/9 (pow.f64 x 3))))) |
(fma.f64 31/22680 (pow.f64 x 7) (fma.f64 2/3 x (fma.f64 7/540 (pow.f64 x 5) (*.f64 1/9 (pow.f64 x 3))))) |
(fma.f64 31/22680 (pow.f64 x 7) (fma.f64 2/3 x (fma.f64 1/9 (pow.f64 x 3) (*.f64 7/540 (pow.f64 x 5))))) |
(fma.f64 31/22680 (pow.f64 x 7) (fma.f64 1/9 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 7/540 (pow.f64 x 5))))) |
(fma.f64 2/3 x (fma.f64 31/22680 (pow.f64 x 7) (fma.f64 1/9 (pow.f64 x 3) (*.f64 7/540 (pow.f64 x 5))))) |
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) 1) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 2/3 (*.f64 (*.f64 x x) (/.f64 1 (sin.f64 x)))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 2/3 (/.f64 1 (/.f64 (sin.f64 x) (*.f64 x x)))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 (*.f64 x x) (*.f64 2/3 (/.f64 1 (sin.f64 x)))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 (*.f64 2/3 (*.f64 x x)) (/.f64 1 (sin.f64 x))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 1) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 1 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x)))) |
(pow.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))) 2) |
(pow.f64 (/.f64 x (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 2/3))) 2) |
(pow.f64 (/.f64 (sqrt.f64 2/3) (/.f64 (sqrt.f64 (sin.f64 x)) x)) 2) |
(*.f64 (*.f64 x (sqrt.f64 2/3)) (*.f64 (*.f64 x (sqrt.f64 2/3)) (/.f64 1 (sin.f64 x)))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 2)) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 2) (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (*.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (*.f64 2/3 (*.f64 x x))))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 2/3 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (/.f64 (cbrt.f64 (/.f64 x (/.f64 3/2 x))) (sin.f64 x))) |
(*.f64 (*.f64 2/3 x) (*.f64 x (/.f64 1 (sin.f64 x)))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 2/3 (*.f64 x x))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 (*.f64 (*.f64 x x) -2/3) (/.f64 1 (neg.f64 (sin.f64 x)))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 2/3 (*.f64 x x)) (sqrt.f64 (sin.f64 x)))) |
(pow.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))) 2) |
(pow.f64 (/.f64 x (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 2/3))) 2) |
(pow.f64 (/.f64 (sqrt.f64 2/3) (/.f64 (sqrt.f64 (sin.f64 x)) x)) 2) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 2/3 (*.f64 x x)) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 2/3 (/.f64 (cbrt.f64 (sin.f64 x)) (*.f64 x x)))) |
(*.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (/.f64 (cbrt.f64 (sin.f64 x)) x))) |
(*.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 x (/.f64 x (cbrt.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x))) (/.f64 2/3 (sqrt.f64 (sin.f64 x)))) |
(pow.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))) 2) |
(pow.f64 (/.f64 x (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 2/3))) 2) |
(pow.f64 (/.f64 (sqrt.f64 2/3) (/.f64 (sqrt.f64 (sin.f64 x)) x)) 2) |
(*.f64 (/.f64 2/3 (sin.f64 x)) (*.f64 x x)) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 2/3 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x)))) |
(pow.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))) 2) |
(pow.f64 (/.f64 x (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 2/3))) 2) |
(pow.f64 (/.f64 (sqrt.f64 2/3) (/.f64 (sqrt.f64 (sin.f64 x)) x)) 2) |
(*.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 2/3 (/.f64 (cbrt.f64 (sin.f64 x)) (*.f64 x x)))) |
(*.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (/.f64 (cbrt.f64 (sin.f64 x)) x))) |
(*.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 x (/.f64 x (cbrt.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 2/3 (sin.f64 x))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 2/3 (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 2/3 (/.f64 (cbrt.f64 (sin.f64 x)) (*.f64 x x)))) |
(*.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (/.f64 (cbrt.f64 (sin.f64 x)) x))) |
(*.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 x (/.f64 x (cbrt.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) 1) (/.f64 (*.f64 x (sqrt.f64 2/3)) (sin.f64 x))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 x (sqrt.f64 2/3)) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 2/3 (/.f64 (cbrt.f64 (sin.f64 x)) (*.f64 x x)))) |
(*.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (/.f64 (cbrt.f64 (sin.f64 x)) x))) |
(*.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 x (/.f64 x (cbrt.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) 1) (/.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) (sin.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (*.f64 2/3 (*.f64 x x))))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 2/3 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (/.f64 (cbrt.f64 (/.f64 x (/.f64 3/2 x))) (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (/.f64 x (/.f64 3/2 x)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) |
(*.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 2/3 x) 1) (/.f64 x (sin.f64 x))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 2/3 x) (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(pow.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))) 2) |
(pow.f64 (/.f64 x (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 2/3))) 2) |
(pow.f64 (/.f64 (sqrt.f64 2/3) (/.f64 (sqrt.f64 (sin.f64 x)) x)) 2) |
(*.f64 (/.f64 (*.f64 2/3 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 2/3 (/.f64 (cbrt.f64 (sin.f64 x)) (*.f64 x x)))) |
(*.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (/.f64 (cbrt.f64 (sin.f64 x)) x))) |
(*.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 x (/.f64 x (cbrt.f64 (sin.f64 x))))) |
(pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 1) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(pow.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))) 2) |
(pow.f64 (/.f64 x (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 2/3))) 2) |
(pow.f64 (/.f64 (sqrt.f64 2/3) (/.f64 (sqrt.f64 (sin.f64 x)) x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 3) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(pow.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 3) 1/3) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(pow.f64 (*.f64 3/2 (/.f64 (sin.f64 x) (*.f64 x x))) -1) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(neg.f64 (/.f64 (*.f64 2/3 (*.f64 x x)) (neg.f64 (sin.f64 x)))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 2)) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(log.f64 (exp.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(cbrt.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 3)) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(expm1.f64 (log1p.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(exp.f64 (log.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 1)) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) |
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) |
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (*.f64 x x)))) 1) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(pow.f64 (*.f64 2/3 (*.f64 x x)) 1) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(pow.f64 (*.f64 x (sqrt.f64 2/3)) 2) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(pow.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) 3) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(pow.f64 (pow.f64 (*.f64 2/3 (*.f64 x x)) 3) 1/3) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 4/9)) |
(log.f64 (pow.f64 (exp.f64 2/3) (*.f64 x x))) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (*.f64 x x))))) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(cbrt.f64 (pow.f64 (*.f64 2/3 (*.f64 x x)) 3)) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(expm1.f64 (log1p.f64 (*.f64 2/3 (*.f64 x x)))) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(exp.f64 (log.f64 (*.f64 2/3 (*.f64 x x)))) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (*.f64 x x))) 1)) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
(log1p.f64 (expm1.f64 (*.f64 2/3 (*.f64 x x)))) |
(*.f64 2/3 (*.f64 x x)) |
(/.f64 x (/.f64 3/2 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (sin.f64 x) 3/4) |
| ✓ | 0.2b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
| ✓ | 2.2b | (-.f64 1 (cos.f64 x)) |
Compiled 25 to 14 computations (44% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
| 0.0ms | x | @ | inf | (*.f64 (sin.f64 x) 3/4) |
| 0.0ms | x | @ | 0 | (-.f64 1 (cos.f64 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (sin.f64 x) 3/4) |
| 1× | batch-egg-rewrite |
| 1686× | associate-/r* |
| 1626× | associate-*r/ |
| 1478× | associate-/l* |
| 1220× | associate-*l/ |
| 1070× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 49 |
| 1 | 230 | 39 |
| 2 | 3046 | 39 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (cos.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(*.f64 (sin.f64 x) 3/4) |
| 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 1 (/.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 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(+.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 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.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 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.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 (cbrt.f64 (pow.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 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#<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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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))) (pow.f64 (cbrt.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))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.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))))))) |
((#(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 (sin.f64 x)) 3/4))))) (#(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))))))) |
| 1× | egg-herbie |
| 1810× | distribute-lft-in |
| 1710× | associate-/r* |
| 1418× | associate-/l/ |
| 1236× | associate-/r/ |
| 436× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 371 | 5017 |
| 1 | 935 | 4859 |
| 2 | 3757 | 4835 |
| 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 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 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 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 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) 1) |
(/.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.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 (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 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 1 (cos.f64 x))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (*.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 1 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (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 (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 (-.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 (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 (/.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 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.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 (cbrt.f64 (pow.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))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (/.f64 (cbrt.f64 (pow.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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))) (pow.f64 (cbrt.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))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 3/4) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.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))) |
(-.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 (sin.f64 x)) 3/4)) |
(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))) |
| 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))) |
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(*.f64 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 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 x 2/3 (*.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 x 2/3 (*.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 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 3/4 x) |
(*.f64 x 3/4) |
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 3/4 x)) |
(fma.f64 -1/8 (pow.f64 x 3) (*.f64 x 3/4)) |
(fma.f64 x 3/4 (*.f64 (pow.f64 x 3) -1/8)) |
(+.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 (pow.f64 x 5) 1/160))) |
(fma.f64 (pow.f64 x 3) -1/8 (fma.f64 x 3/4 (*.f64 (pow.f64 x 5) 1/160))) |
(fma.f64 (pow.f64 x 3) -1/8 (fma.f64 (pow.f64 x 5) 1/160 (*.f64 x 3/4))) |
(+.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 (pow.f64 x 5) 1/160)))) |
(fma.f64 (pow.f64 x 3) -1/8 (fma.f64 (pow.f64 x 7) -1/6720 (fma.f64 x 3/4 (*.f64 (pow.f64 x 5) 1/160)))) |
(fma.f64 (pow.f64 x 3) -1/8 (fma.f64 (pow.f64 x 7) -1/6720 (fma.f64 (pow.f64 x 5) 1/160 (*.f64 x 3/4)))) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 (sin.f64 x) 3/4) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 (sin.f64 x) 3/4) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 (sin.f64 x) 3/4) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 (sin.f64 x) 3/4) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 (sin.f64 x) 3/4) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 (sin.f64 x) 3/4) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 (sin.f64 x) 3/4) |
(*.f64 3/4 (sin.f64 x)) |
(*.f64 (sin.f64 x) 3/4) |
(+.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))) |
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(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x)))) |
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(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
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(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))) |
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(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
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(*.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)))) |
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(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 3/4)) |
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(*.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)))) |
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(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2))) |
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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 (cos.f64 x) -1)) |
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(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 3/4) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)) (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)) |
(*.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.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 (sin.f64 x) 3/4)) 2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.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)) |
(sqrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 2)) |
(fabs.f64 (*.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))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/4))) 1) |
(*.f64 (sin.f64 x) 3/4) |
(pow.f64 (*.f64 (sin.f64 x) 3/4) 1) |
(*.f64 (sin.f64 x) 3/4) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/4)) 2) |
(*.f64 (sin.f64 x) 3/4) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 3) |
(*.f64 (sin.f64 x) 3/4) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 3) 1/3) |
(*.f64 (sin.f64 x) 3/4) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) 3/4)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/4)) |
(*.f64 (sin.f64 x) 3/4) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/4)))) |
(*.f64 (sin.f64 x) 3/4) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 3)) |
(*.f64 (sin.f64 x) 3/4) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/4))) |
(*.f64 (sin.f64 x) 3/4) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/4))) |
(*.f64 (sin.f64 x) 3/4) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/4))) |
(*.f64 (sin.f64 x) 3/4) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) |
| ✓ | 0.1b | (/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3/8) |
| ✓ | 2.2b | (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
Compiled 39 to 24 computations (38.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3/8) |
| 1.0ms | x | @ | -inf | (/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3/8) |
| 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 |
| 1300× | associate-/r* |
| 1178× | associate-/l* |
| 596× | associate-/l/ |
| 554× | distribute-rgt-in |
| 528× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 77 |
| 1 | 284 | 65 |
| 2 | 3603 | 65 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3/8) |
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.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 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(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 (fma.f64 -1/2 (cos.f64 x) 1/2) 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 (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 (+.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 (/.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 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(*.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 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (/.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 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))) (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sqrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))) (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (*.f64 1 (neg.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (*.f64 1 (neg.f64 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-1/2 (cos.f64 x) 1/2)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (sin.f64 x)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 x) (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 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (sin.f64 x))) (-.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 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (sin.f64 x))) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 1/4 (*.f64 (*.f64 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (sin.f64 x))) (-.f64 1/16 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x)))))) (+.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 -1/4 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (sin.f64 x))) (+.f64 1/64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) 3))) (-.f64 (+.f64 1/16 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))))) (*.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 720× | associate-*r* |
| 588× | associate-*l* |
| 566× | +-commutative |
| 476× | associate-+r+ |
| 466× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 427 | 6406 |
| 1 | 1118 | 5926 |
| 2 | 5568 | 5924 |
| 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 1/4 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 (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) |
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(-.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x))))) 1) |
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 1) |
(*.f64 1 (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))) |
(*.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)) |
(*.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))) |
(*.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 1/8 (*.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 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 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 (-.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)) |
(*.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 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(*.f64 (/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (-.f64 1/16 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x)))))) (+.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 -1/4 (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (+.f64 1/64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) 3))) (-.f64 (+.f64 1/16 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))))) (*.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x)))))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 1) |
(/.f64 1 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 1 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 1 (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 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.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 (*.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 (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))))) |
(/.f64 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))) (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))))) |
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sqrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))))) |
(/.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 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (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 1/4 (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (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 (neg.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (*.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 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))))) |
(/.f64 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (*.f64 1 (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))))) |
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) 1/4) (-.f64 (*.f64 -1/2 (cos.f64 x)) 1/2)) |
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) 1/4) (*.f64 1 (-.f64 (*.f64 -1/2 (cos.f64 x)) 1/2))) |
(/.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 (*.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 1/16 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (*.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) 1/4))) |
(/.f64 (+.f64 1/512 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8) 3)) (*.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 (*.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 1/4 (pow.f64 (cos.f64 x) 2)) 3)) (*.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (+.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 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) 1) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (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 1/4 (pow.f64 (cos.f64 x) 2))) (*.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 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) 1) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))) |
(/.f64 (/.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)))))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))))) |
(/.f64 (/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))))) |
(pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 1) |
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 3) |
(pow.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 2)) |
(log.f64 (exp.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(exp.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)) |
(log1p.f64 (expm1.f64 (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 (*.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) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))))) 1) |
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (/.f64 1 (sin.f64 x)) 8/3)) |
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3) |
(*.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) 1) |
(*.f64 1 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 8/3)) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))) (sqrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 8/3)) |
(*.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))) 2) (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))))) |
(*.f64 8/3 (/.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)) -8/3) |
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3/8) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(*.f64 -8/3 (/.f64 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8) (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) 3/8) (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (*.f64 (sin.f64 x) 3/8)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(*.f64 (/.f64 1 (*.f64 3/8 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))))) (sqrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 3/8 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2))) (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 3/8) (sqrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2) 3/8) (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (*.f64 (sin.f64 x) 3/8)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(*.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 8/3 (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 8/3 (neg.f64 (sin.f64 x))) (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 8/3 (/.f64 (sin.f64 x) 1)) (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(*.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(*.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (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))) |
(pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) 3) 1/3) |
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))) -1) |
(neg.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 -3/8 (sin.f64 x)))) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 2) 64/9)) |
(log.f64 (exp.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))))) |
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))))) |
(+.f64 (*.f64 (/.f64 1 (sin.f64 x)) 1/2) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) 1/2)) |
(+.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) (*.f64 (*.f64 -1/2 (cos.f64 x)) (/.f64 1 (sin.f64 x)))) |
(+.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (*.f64 1/2 (/.f64 1 (sin.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) 1) |
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 1) |
(*.f64 1 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) (sqrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) |
(*.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (*.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(*.f64 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 -1 (sin.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (sin.f64 x)))) |
(*.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 -1 (sin.f64 x)) (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1) (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sin.f64 x)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (sin.f64 x)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (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))) |
(*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (sin.f64 x))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (sin.f64 x))) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 1/4 (*.f64 (*.f64 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(*.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (sin.f64 x))) (-.f64 1/16 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x)))))) (+.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 -1/4 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (sin.f64 x))) (+.f64 1/64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) 3))) (-.f64 (+.f64 1/16 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))))) (*.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x)))))) |
(pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) -1) |
(neg.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (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))) |
(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))))) |
(*.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)))) |
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(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 x 2/3 (*.f64 1/180 (pow.f64 x 5))))) |
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(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 1) |
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(/.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (sin.f64 x))) (-.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 (-.f64 1/4 (*.f64 (cos.f64 x) (+.f64 1/4 (*.f64 1/4 (cos.f64 x))))) (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (*.f64 (-.f64 1/16 (*.f64 (*.f64 (cos.f64 x) (+.f64 1/4 (*.f64 1/4 (cos.f64 x)))) (*.f64 (cos.f64 x) (+.f64 1/4 (*.f64 1/4 (cos.f64 x)))))) (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (sin.f64 x))) (+.f64 1/64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) 3))) (-.f64 (+.f64 1/16 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))))) (*.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x)))))) |
(*.f64 (+.f64 1/16 (-.f64 (*.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (neg.f64 (*.f64 (cos.f64 x) -1/4))) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (neg.f64 (*.f64 (cos.f64 x) -1/4)))) (*.f64 1/4 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (neg.f64 (*.f64 (cos.f64 x) -1/4)))))) (/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 (+.f64 1/64 (pow.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (neg.f64 (*.f64 (cos.f64 x) -1/4))) 3)) (/.f64 1 (sin.f64 x))))) |
(*.f64 (+.f64 1/16 (*.f64 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) 1/4))) (/.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (sin.f64 x)) (+.f64 1/64 (pow.f64 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) 3)))) |
(/.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (sin.f64 x)) (/.f64 (+.f64 1/64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1/4 (*.f64 1/4 (cos.f64 x)))) 3)) (+.f64 1/16 (*.f64 (*.f64 (cos.f64 x) (+.f64 1/4 (*.f64 1/4 (cos.f64 x)))) (+.f64 (*.f64 (cos.f64 x) (+.f64 1/4 (*.f64 1/4 (cos.f64 x)))) -1/4))))) |
(pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 1) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 3) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (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) (fma.f64 -1/2 (cos.f64 x) 1/2)) -1) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(neg.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (neg.f64 (sin.f64 x)))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 2)) |
(fabs.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 3)) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3) (pow.f64 (sin.f64 x) 3))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 1)) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) |
Compiled 11820 to 7944 computations (32.8% saved)
12 alts after pruning (7 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 651 | 6 | 657 |
| Fresh | 5 | 1 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 5 | 8 |
| Total | 660 | 12 | 672 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.3b | (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1) |
| ✓ | 35.1b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
| ✓ | 42.5b | (/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x)) |
| ✓ | 26.0b | (/.f64 (*.f64 1/4 x) 3/8) |
| ▶ | 0.1b | (/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4) |
| 35.1b | (*.f64 (pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 4/3) | |
| ▶ | 0.4b | (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
| 0.4b | (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))) 4/3) | |
| ✓ | 0.3b | (*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
| ▶ | 26.8b | (*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3)) |
| ✓ | 26.2b | (*.f64 x 2/3) |
| ▶ | 26.2b | (*.f64 1/4 (/.f64 1 (/.f64 3/8 x))) |
Compiled 178 to 148 computations (16.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (tan.f64 (/.f64 x 2)) | |
| ✓ | 0.1b | (/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4) |
Compiled 23 to 18 computations (21.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4) |
| 0.0ms | x | @ | inf | (/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4) |
| 0.0ms | x | @ | -inf | (/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4) |
| 1× | batch-egg-rewrite |
| 1874× | add-sqr-sqrt |
| 1830× | *-un-lft-identity |
| 1726× | add-cube-cbrt |
| 1712× | add-cbrt-cube |
| 208× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 222 | 17 |
| 2 | 2703 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))))) (#(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 (tan.f64 (*.f64 x 1/2)) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))) (#(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 1 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (tan.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 pow.f64 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))))) (#(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 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))))) (#(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))))))) |
| 1× | egg-herbie |
| 932× | fma-def |
| 916× | associate--r+ |
| 804× | associate-+r+ |
| 698× | distribute-lft-in |
| 692× | associate-+l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 835 |
| 1 | 192 | 835 |
| 2 | 712 | 835 |
| 3 | 2180 | 835 |
| 4 | 6625 | 835 |
| 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 0 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))) 1) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 1) |
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) -4/3)) |
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) -4/3)) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))) |
(*.f64 -1 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) |
(*.f64 -4/3 (tan.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) |
(pow.f64 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2))) -1) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) |
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9)) |
(log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))) |
(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))) |
| 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)))) |
(fma.f64 x (fma.f64 1/18 (*.f64 x x) 2/3) (*.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 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 2/3 x)))) |
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 2/3 x (fma.f64 17/30240 (pow.f64 x 7) (*.f64 1/18 (pow.f64 x 3))))) |
(*.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 0 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))) 1) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 1) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) -4/3)) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) -4/3)) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 2)) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(*.f64 -1 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(*.f64 -4/3 (tan.f64 (*.f64 x 1/2))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 1) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 2) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 3) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 3) 1/3) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(pow.f64 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2))) -1) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9)) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 3)) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 1)) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))) |
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 1 (/.f64 3/8 x)) |
Compiled 20 to 16 computations (20% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 3/8 x)) |
| 0.0ms | x | @ | inf | (/.f64 1 (/.f64 3/8 x)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (/.f64 3/8 x)) |
| 1× | batch-egg-rewrite |
| 1336× | add-sqr-sqrt |
| 1300× | *-un-lft-identity |
| 1230× | add-cube-cbrt |
| 1220× | add-cbrt-cube |
| 1206× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 7 |
| 1 | 149 | 7 |
| 2 | 1730 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 3/8 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 8/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 8/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 8/3)) (sqrt.f64 (*.f64 x 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 8/3)) (pow.f64 (cbrt.f64 (*.f64 x 8/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 8/3)) 2) (cbrt.f64 (*.f64 x 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8/3 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 3/8 x)) -1) (pow.f64 (sqrt.f64 (/.f64 3/8 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 9/64 (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (/.f64 3/8 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/8 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 8/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 8/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 8/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 8/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 8/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 8/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 8/3))))))) |
| 1× | egg-herbie |
| 1386× | associate-*r* |
| 1334× | associate-/l* |
| 1292× | associate-*r/ |
| 1168× | associate-*l* |
| 942× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 314 |
| 1 | 159 | 314 |
| 2 | 586 | 308 |
| 3 | 3779 | 308 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(-.f64 (+.f64 1 (*.f64 x 8/3)) 1) |
(*.f64 1 (*.f64 x 8/3)) |
(*.f64 x 8/3) |
(*.f64 (*.f64 x 8/3) 1) |
(*.f64 (sqrt.f64 (*.f64 x 8/3)) (sqrt.f64 (*.f64 x 8/3))) |
(*.f64 (cbrt.f64 (*.f64 x 8/3)) (pow.f64 (cbrt.f64 (*.f64 x 8/3)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 8/3)) 2) (cbrt.f64 (*.f64 x 8/3))) |
(*.f64 8/3 x) |
(*.f64 8/3 (pow.f64 (/.f64 1 x) -1)) |
(*.f64 -1 (/.f64 1 (/.f64 -3/8 x))) |
(*.f64 (*.f64 8/3 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 8/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 -8/3 (neg.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 3/8 x)) -1) (pow.f64 (sqrt.f64 (/.f64 3/8 x)) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 9/64 (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (/.f64 3/8 x)) -1)) |
(pow.f64 (/.f64 3/8 x) -1) |
(pow.f64 (*.f64 x 8/3) 1) |
(pow.f64 (sqrt.f64 (*.f64 x 8/3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x 8/3)) 3) |
(pow.f64 (pow.f64 (*.f64 x 8/3) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x 8/3) 2)) |
(log.f64 (exp.f64 (*.f64 x 8/3))) |
(cbrt.f64 (pow.f64 (*.f64 x 8/3) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x 8/3))) |
(exp.f64 (log.f64 (*.f64 x 8/3))) |
(log1p.f64 (expm1.f64 (*.f64 x 8/3))) |
| Outputs |
|---|
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(-.f64 (+.f64 1 (*.f64 x 8/3)) 1) |
(*.f64 8/3 x) |
(*.f64 1 (*.f64 x 8/3)) |
(*.f64 8/3 x) |
(*.f64 x 8/3) |
(*.f64 8/3 x) |
(*.f64 (*.f64 x 8/3) 1) |
(*.f64 8/3 x) |
(*.f64 (sqrt.f64 (*.f64 x 8/3)) (sqrt.f64 (*.f64 x 8/3))) |
(*.f64 8/3 x) |
(*.f64 (cbrt.f64 (*.f64 x 8/3)) (pow.f64 (cbrt.f64 (*.f64 x 8/3)) 2)) |
(*.f64 8/3 x) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 8/3)) 2) (cbrt.f64 (*.f64 x 8/3))) |
(*.f64 8/3 x) |
(*.f64 8/3 x) |
(*.f64 8/3 (pow.f64 (/.f64 1 x) -1)) |
(*.f64 8/3 x) |
(*.f64 -1 (/.f64 1 (/.f64 -3/8 x))) |
(*.f64 8/3 x) |
(*.f64 (*.f64 8/3 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 8/3 x) |
(*.f64 (*.f64 8/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 8/3 x) |
(*.f64 -8/3 (neg.f64 x)) |
(*.f64 8/3 x) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 3/8 x)) -1) (pow.f64 (sqrt.f64 (/.f64 3/8 x)) -1)) |
(pow.f64 (sqrt.f64 (/.f64 3/8 x)) -2) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 9/64 (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (/.f64 3/8 x)) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 9/64 (*.f64 x x)))) (/.f64 1 (cbrt.f64 (/.f64 3/8 x)))) |
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 (/.f64 9/64 x) x))) (cbrt.f64 (/.f64 3/8 x))) |
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 3/8 x))) (cbrt.f64 (/.f64 9/64 (*.f64 x x)))) |
(pow.f64 (/.f64 3/8 x) -1) |
(*.f64 8/3 x) |
(pow.f64 (*.f64 x 8/3) 1) |
(*.f64 8/3 x) |
(pow.f64 (sqrt.f64 (*.f64 x 8/3)) 2) |
(*.f64 8/3 x) |
(pow.f64 (cbrt.f64 (*.f64 x 8/3)) 3) |
(*.f64 8/3 x) |
(pow.f64 (pow.f64 (*.f64 x 8/3) 3) 1/3) |
(*.f64 8/3 x) |
(sqrt.f64 (pow.f64 (*.f64 x 8/3) 2)) |
(*.f64 8/3 x) |
(log.f64 (exp.f64 (*.f64 x 8/3))) |
(*.f64 8/3 x) |
(cbrt.f64 (pow.f64 (*.f64 x 8/3) 3)) |
(*.f64 8/3 x) |
(expm1.f64 (log1p.f64 (*.f64 x 8/3))) |
(*.f64 8/3 x) |
(exp.f64 (log.f64 (*.f64 x 8/3))) |
(*.f64 8/3 x) |
(log1p.f64 (expm1.f64 (*.f64 x 8/3))) |
(*.f64 8/3 x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3) |
| ✓ | 0.2b | (*.f64 1/18 (*.f64 x x)) |
| ✓ | 0.2b | (*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3)) |
Compiled 28 to 15 computations (46.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3)) |
| 0.0ms | x | @ | 0 | (*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3)) |
| 0.0ms | x | @ | inf | (*.f64 1/18 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3)) |
| 0.0ms | x | @ | 0 | (*.f64 1/18 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 900× | *-commutative |
| 706× | unswap-sqr |
| 558× | swap-sqr |
| 540× | associate-*r/ |
| 424× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 49 |
| 1 | 202 | 49 |
| 2 | 2582 | 49 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3)) |
(*.f64 1/18 (*.f64 x x)) |
(+.f64 (*.f64 1/18 (*.f64 x x)) 2/3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 1/18 (*.f64 x x) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/18 (*.f64 x x) -2/3) (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)) (*.f64 x (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) -2/3)) (-.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (-.f64 (*.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))) (+.f64 (pow.f64 (*.f64 1/18 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 2/3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9) (/.f64 (fma.f64 1/18 (*.f64 x x) -2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)) (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9)) (fma.f64 1/18 (*.f64 x x) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832))) (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) 4/9)) (*.f64 x (fma.f64 1/18 (*.f64 x x) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/18)) (*.f64 x (sqrt.f64 1/18)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/324)) (cbrt.f64 (*.f64 x (*.f64 x 1/18))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/18) x 2/3))))) |
| 1× | egg-herbie |
| 1492× | associate-/r* |
| 1312× | associate-*r/ |
| 936× | associate-*l/ |
| 698× | associate-/r/ |
| 654× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 421 | 8141 |
| 1 | 1114 | 7431 |
| 2 | 4208 | 7425 |
| 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 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(*.f64 1/18 (pow.f64 x 3)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.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 2/3 x)) |
(*.f64 1/18 (pow.f64 x 3)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.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 2/3 x)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 1/18 (pow.f64 x 2)) |
2/3 |
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))) |
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))) |
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))) |
(*.f64 1/18 (pow.f64 x 2)) |
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))) |
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))) |
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))) |
(*.f64 1/18 (pow.f64 x 2)) |
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))) |
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))) |
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))) |
(+.f64 (*.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 x 2/3)) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)))) -1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)))) 1) |
(/.f64 x (/.f64 1 (fma.f64 1/18 (*.f64 x x) 2/3))) |
(/.f64 1 (/.f64 (fma.f64 1/18 (*.f64 x x) -2/3) (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9)))) |
(/.f64 1 (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)) (*.f64 x (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832))))) |
(/.f64 1 (/.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) -2/3)) (-.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) 4/9)))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (-.f64 (*.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))) (+.f64 (pow.f64 (*.f64 1/18 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 2/3) 3)))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9) (/.f64 (fma.f64 1/18 (*.f64 x x) -2/3) x)) |
(/.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)) (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)) x)) |
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9)) (fma.f64 1/18 (*.f64 x x) -2/3)) |
(/.f64 (*.f64 x (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832))) (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) 4/9)) (*.f64 x (fma.f64 1/18 (*.f64 x x) -2/3))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/18 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 2/3) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (-.f64 (*.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3)))))) |
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(/.f64 (*.f64 (sqrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3)) (sqrt.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)))) (sqrt.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3)) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9))) (cbrt.f64 (fma.f64 1/18 (*.f64 x x) -2/3))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3)) 2) (cbrt.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)))) (cbrt.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)))) |
(/.f64 (*.f64 (+.f64 4/9 (*.f64 -1/324 (pow.f64 x 4))) 1) (+.f64 2/3 (*.f64 (*.f64 x x) -1/18))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 x 4) 1/324)) 4/9) 1) (+.f64 (*.f64 (*.f64 x x) -1/18) 2/3)) |
(/.f64 (*.f64 (+.f64 -8/27 (neg.f64 (*.f64 (pow.f64 x 6) 1/5832))) 1) (neg.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9)) (sqrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3))) (sqrt.f64 (fma.f64 1/18 (*.f64 x x) -2/3))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832))) (sqrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3))) (sqrt.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9)) (pow.f64 (cbrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3)) 2)) (cbrt.f64 (fma.f64 1/18 (*.f64 x x) -2/3))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832))) (pow.f64 (cbrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3)) 2)) (cbrt.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/104976) -16/81) (/.f64 1 (fma.f64 1/18 (*.f64 x x) -2/3))) (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/324) 3) -64/729) (/.f64 1 (fma.f64 1/18 (*.f64 x x) -2/3))) (+.f64 (*.f64 (pow.f64 x 8) 1/104976) (+.f64 16/81 (*.f64 (pow.f64 x 4) 1/729)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/5832) 2) -64/729) (/.f64 1 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)))) (+.f64 (*.f64 (pow.f64 x 6) 1/5832) -8/27)) |
(/.f64 (*.f64 (+.f64 512/19683 (pow.f64 (*.f64 (pow.f64 x 6) 1/5832) 3)) (/.f64 1 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)))) (-.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/5832) 2) 64/729) (*.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9) 1) (fma.f64 1/18 (*.f64 x x) -2/3)) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9) (sqrt.f64 (fma.f64 1/18 (*.f64 x x) -2/3))) (sqrt.f64 (fma.f64 1/18 (*.f64 x x) -2/3))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9) (*.f64 (cbrt.f64 (fma.f64 1/18 (*.f64 x x) -2/3)) (cbrt.f64 (fma.f64 1/18 (*.f64 x x) -2/3)))) (cbrt.f64 (fma.f64 1/18 (*.f64 x x) -2/3))) |
(/.f64 (/.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)) 1) (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27))) |
(/.f64 (/.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)) (sqrt.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)))) (sqrt.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)))) |
(/.f64 (/.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)) (*.f64 (cbrt.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27))) (cbrt.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27))))) (cbrt.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 1/18 (*.f64 x x) 2/3))) (exp.f64 (log1p.f64 (fma.f64 1/18 (*.f64 x x) 2/3)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 1/18 (*.f64 x x) 2/3))) 1)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 1/18 (*.f64 x x) -2/3) 1/324)) (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 1/18 (*.f64 x x) -2/3) 1/324))) (*.f64 (/.f64 4/9 (fma.f64 1/18 (*.f64 x x) -2/3)) (/.f64 4/9 (fma.f64 1/18 (*.f64 x x) -2/3)))) (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 1/18 (*.f64 x x) -2/3) 1/324)) (/.f64 4/9 (fma.f64 1/18 (*.f64 x x) -2/3)))) |
(pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 1) |
(pow.f64 (sqrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3)) 3) |
(pow.f64 (pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9) (+.f64 (*.f64 (*.f64 x x) -1/18) 2/3))) |
(neg.f64 (/.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)) (neg.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27))))) |
(sqrt.f64 (pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 2)) |
(log.f64 (exp.f64 (fma.f64 1/18 (*.f64 x x) 2/3))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/18 (*.f64 x x) 2/3)))) |
(cbrt.f64 (pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 1/18 (*.f64 x x) 2/3))) |
(exp.f64 (log.f64 (fma.f64 1/18 (*.f64 x x) 2/3))) |
(log1p.f64 (expm1.f64 (fma.f64 1/18 (*.f64 x x) 2/3))) |
(fma.f64 1/18 (*.f64 x x) 2/3) |
(fma.f64 (*.f64 x x) 1/18 2/3) |
(fma.f64 1 (*.f64 x (*.f64 x 1/18)) 2/3) |
(fma.f64 (*.f64 x (sqrt.f64 1/18)) (*.f64 x (sqrt.f64 1/18)) 2/3) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/324)) (cbrt.f64 (*.f64 x (*.f64 x 1/18))) 2/3) |
(fma.f64 (*.f64 x 1/18) x 2/3) |
| Outputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(*.f64 1/18 (pow.f64 x 3)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(*.f64 1/18 (pow.f64 x 3)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/18)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/18)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/18)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/18)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/18)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/18)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/18)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/18)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/18)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/18)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/18)) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/18)) |
2/3 |
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))) |
(fma.f64 1/18 (*.f64 x x) 2/3) |
(fma.f64 x (*.f64 x 1/18) 2/3) |
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))) |
(fma.f64 1/18 (*.f64 x x) 2/3) |
(fma.f64 x (*.f64 x 1/18) 2/3) |
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))) |
(fma.f64 1/18 (*.f64 x x) 2/3) |
(fma.f64 x (*.f64 x 1/18) 2/3) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/18)) |
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))) |
(fma.f64 1/18 (*.f64 x x) 2/3) |
(fma.f64 x (*.f64 x 1/18) 2/3) |
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))) |
(fma.f64 1/18 (*.f64 x x) 2/3) |
(fma.f64 x (*.f64 x 1/18) 2/3) |
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))) |
(fma.f64 1/18 (*.f64 x x) 2/3) |
(fma.f64 x (*.f64 x 1/18) 2/3) |
(*.f64 1/18 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/18)) |
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))) |
(fma.f64 1/18 (*.f64 x x) 2/3) |
(fma.f64 x (*.f64 x 1/18) 2/3) |
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))) |
(fma.f64 1/18 (*.f64 x x) 2/3) |
(fma.f64 x (*.f64 x 1/18) 2/3) |
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))) |
(fma.f64 1/18 (*.f64 x x) 2/3) |
(fma.f64 x (*.f64 x 1/18) 2/3) |
(+.f64 (*.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))) |
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 x 2/3)) |
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)))) -1) |
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)))) 1) |
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(/.f64 x (/.f64 1 (fma.f64 1/18 (*.f64 x x) 2/3))) |
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3))) |
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(/.f64 1 (/.f64 (fma.f64 1/18 (*.f64 x x) -2/3) (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9)))) |
(/.f64 x (/.f64 (fma.f64 1/18 (*.f64 x x) -2/3) (fma.f64 (pow.f64 x 4) 1/324 -4/9))) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 4) 1/324 -4/9) (fma.f64 x (*.f64 x 1/18) -2/3))) |
(/.f64 1 (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)) (*.f64 x (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832))))) |
(/.f64 (*.f64 x (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832))) (+.f64 (fma.f64 (pow.f64 x 4) 1/324 4/9) (*.f64 (*.f64 x x) -1/27))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/5832 8/27)) (fma.f64 (pow.f64 x 4) 1/324 (fma.f64 (*.f64 x x) -1/27 4/9))) |
(/.f64 (fma.f64 (pow.f64 x 6) 1/5832 8/27) (/.f64 (fma.f64 (pow.f64 x 4) 1/324 (fma.f64 x (*.f64 x -1/27) 4/9)) x)) |
(/.f64 1 (/.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) -2/3)) (-.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) 4/9)))) |
(/.f64 (-.f64 (*.f64 1/324 (pow.f64 x 6)) (*.f64 x (*.f64 x 4/9))) (*.f64 x (fma.f64 1/18 (*.f64 x x) -2/3))) |
(/.f64 (fma.f64 1/324 (pow.f64 x 6) (*.f64 (*.f64 x x) -4/9)) (*.f64 x (fma.f64 x (*.f64 x 1/18) -2/3))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (-.f64 (*.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))) (+.f64 (pow.f64 (*.f64 1/18 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 2/3) 3)))) |
(/.f64 (+.f64 (*.f64 1/5832 (pow.f64 (pow.f64 x 3) 3)) (*.f64 (pow.f64 x 3) 8/27)) (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 2/3 (+.f64 (*.f64 2/3 x) (*.f64 -1/18 (pow.f64 x 3))))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 8/27 (*.f64 1/5832 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/18))) (*.f64 1/324 (pow.f64 x 6)))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9) (/.f64 (fma.f64 1/18 (*.f64 x x) -2/3) x)) |
(/.f64 x (/.f64 (fma.f64 1/18 (*.f64 x x) -2/3) (fma.f64 (pow.f64 x 4) 1/324 -4/9))) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 4) 1/324 -4/9) (fma.f64 x (*.f64 x 1/18) -2/3))) |
(/.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)) (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)) x)) |
(/.f64 (*.f64 x (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832))) (+.f64 (fma.f64 (pow.f64 x 4) 1/324 4/9) (*.f64 (*.f64 x x) -1/27))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/5832 8/27)) (fma.f64 (pow.f64 x 4) 1/324 (fma.f64 (*.f64 x x) -1/27 4/9))) |
(/.f64 (fma.f64 (pow.f64 x 6) 1/5832 8/27) (/.f64 (fma.f64 (pow.f64 x 4) 1/324 (fma.f64 x (*.f64 x -1/27) 4/9)) x)) |
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9)) (fma.f64 1/18 (*.f64 x x) -2/3)) |
(/.f64 x (/.f64 (fma.f64 1/18 (*.f64 x x) -2/3) (fma.f64 (pow.f64 x 4) 1/324 -4/9))) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 4) 1/324 -4/9) (fma.f64 x (*.f64 x 1/18) -2/3))) |
(/.f64 (*.f64 x (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832))) (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27))) |
(/.f64 (*.f64 x (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832))) (+.f64 (fma.f64 (pow.f64 x 4) 1/324 4/9) (*.f64 (*.f64 x x) -1/27))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/5832 8/27)) (fma.f64 (pow.f64 x 4) 1/324 (fma.f64 (*.f64 x x) -1/27 4/9))) |
(/.f64 (fma.f64 (pow.f64 x 6) 1/5832 8/27) (/.f64 (fma.f64 (pow.f64 x 4) 1/324 (fma.f64 x (*.f64 x -1/27) 4/9)) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) 4/9)) (*.f64 x (fma.f64 1/18 (*.f64 x x) -2/3))) |
(/.f64 (-.f64 (*.f64 1/324 (pow.f64 x 6)) (*.f64 x (*.f64 x 4/9))) (*.f64 x (fma.f64 1/18 (*.f64 x x) -2/3))) |
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(fma.f64 x (*.f64 x 1/18) 2/3) |
(pow.f64 (pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 3) 1/3) |
(fma.f64 1/18 (*.f64 x x) 2/3) |
(fma.f64 x (*.f64 x 1/18) 2/3) |
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9) (+.f64 (*.f64 (*.f64 x x) -1/18) 2/3))) |
(/.f64 (+.f64 4/9 (*.f64 (pow.f64 x 4) -1/324)) (fma.f64 (*.f64 x x) -1/18 2/3)) |
(/.f64 (fma.f64 (pow.f64 x 4) -1/324 4/9) (fma.f64 x (*.f64 x -1/18) 2/3)) |
(neg.f64 (/.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)) (neg.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27))))) |
(/.f64 (+.f64 -8/27 (*.f64 (pow.f64 x 6) -1/5832)) (neg.f64 (+.f64 (fma.f64 (pow.f64 x 4) 1/324 4/9) (*.f64 (*.f64 x x) -1/27)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/5832 -8/27) (-.f64 (*.f64 (pow.f64 x 4) -1/324) (fma.f64 (*.f64 x x) -1/27 4/9))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/5832 -8/27) (-.f64 (*.f64 (pow.f64 x 4) -1/324) (fma.f64 x (*.f64 x -1/27) 4/9))) |
(sqrt.f64 (pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 2)) |
(fabs.f64 (fma.f64 1/18 (*.f64 x x) 2/3)) |
(fabs.f64 (fma.f64 x (*.f64 x 1/18) 2/3)) |
(log.f64 (exp.f64 (fma.f64 1/18 (*.f64 x x) 2/3))) |
(fma.f64 1/18 (*.f64 x x) 2/3) |
(fma.f64 x (*.f64 x 1/18) 2/3) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/18 (*.f64 x x) 2/3)))) |
(fma.f64 1/18 (*.f64 x x) 2/3) |
(fma.f64 x (*.f64 x 1/18) 2/3) |
(cbrt.f64 (pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 3)) |
(fma.f64 1/18 (*.f64 x x) 2/3) |
(fma.f64 x (*.f64 x 1/18) 2/3) |
(expm1.f64 (log1p.f64 (fma.f64 1/18 (*.f64 x x) 2/3))) |
(fma.f64 1/18 (*.f64 x x) 2/3) |
(fma.f64 x (*.f64 x 1/18) 2/3) |
(exp.f64 (log.f64 (fma.f64 1/18 (*.f64 x x) 2/3))) |
(fma.f64 1/18 (*.f64 x x) 2/3) |
(fma.f64 x (*.f64 x 1/18) 2/3) |
(log1p.f64 (expm1.f64 (fma.f64 1/18 (*.f64 x x) 2/3))) |
(fma.f64 1/18 (*.f64 x x) 2/3) |
(fma.f64 x (*.f64 x 1/18) 2/3) |
(fma.f64 1/18 (*.f64 x x) 2/3) |
(fma.f64 x (*.f64 x 1/18) 2/3) |
(fma.f64 (*.f64 x x) 1/18 2/3) |
(fma.f64 1/18 (*.f64 x x) 2/3) |
(fma.f64 x (*.f64 x 1/18) 2/3) |
(fma.f64 1 (*.f64 x (*.f64 x 1/18)) 2/3) |
(fma.f64 1/18 (*.f64 x x) 2/3) |
(fma.f64 x (*.f64 x 1/18) 2/3) |
(fma.f64 (*.f64 x (sqrt.f64 1/18)) (*.f64 x (sqrt.f64 1/18)) 2/3) |
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/18)) 2) 2/3) |
(+.f64 2/3 (pow.f64 (*.f64 x (sqrt.f64 1/18)) 2)) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/324)) (cbrt.f64 (*.f64 x (*.f64 x 1/18))) 2/3) |
(fma.f64 (*.f64 x 1/18) x 2/3) |
(fma.f64 1/18 (*.f64 x x) 2/3) |
(fma.f64 x (*.f64 x 1/18) 2/3) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (tan.f64 (/.f64 x 2)) | |
| ✓ | 0.1b | (/.f64 3/4 (tan.f64 (/.f64 x 2))) |
| ✓ | 0.3b | (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1) |
Compiled 26 to 21 computations (19.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1) |
| 3.0ms | x | @ | -inf | (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1) |
| 1.0ms | x | @ | 0 | (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1) |
| 0.0ms | x | @ | 0 | (/.f64 3/4 (tan.f64 (/.f64 x 2))) |
| 0.0ms | x | @ | inf | (/.f64 3/4 (tan.f64 (/.f64 x 2))) |
| 1× | batch-egg-rewrite |
| 878× | *-commutative |
| 870× | associate-*r/ |
| 626× | associate-*l/ |
| 578× | unswap-sqr |
| 570× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 1 | 240 | 34 |
| 2 | 2752 | 34 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1) |
(/.f64 3/4 (tan.f64 (/.f64 x 2))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))))) |
| 1× | egg-herbie |
| 1754× | associate-/r* |
| 1674× | associate-/l* |
| 1278× | unswap-sqr |
| 780× | associate-/r/ |
| 628× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 392 | 6616 |
| 1 | 899 | 5974 |
| 2 | 2771 | 5974 |
| 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 3/2 x) |
(+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x))) |
(+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/480 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 x)))) |
(+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/480 (pow.f64 x 3)) (+.f64 (*.f64 3/2 (/.f64 1 x)) (*.f64 -1/20160 (pow.f64 x 5))))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1) |
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) |
(*.f64 -1 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) |
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1) |
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) |
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) |
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -4/3) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)) |
(*.f64 -4/3 (neg.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1) 4/3) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) -1)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 3/4)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.f64 3/4 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 -3/4)) (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 3/4) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 3/4) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 4/3 (/.f64 1 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 4/3 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) 1) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 3/4)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 -3/4)) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 (pow.f64 3/4 -1/2) (pow.f64 3/4 -1/2)) (pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)) |
(*.f64 (*.f64 (pow.f64 1 -1/2) (pow.f64 1 -1/2)) (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) |
(*.f64 (*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/4) (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))) (*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/4) (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2) (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))) (*.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2) (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/4)) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/4))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2) (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/4)) (*.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2) (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/4))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2)) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2))) |
(*.f64 (*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/4) (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2)) (*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/4) (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))) (*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3/2) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/6)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 2) -1/4) (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 2) -1/4)) |
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4) |
(/.f64 -1 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1) |
(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 1 (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 -3/4 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) |
(/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2))) |
(/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (/.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 3/4 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) |
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 3/4 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 -3/4 (neg.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 1 (/.f64 3/4 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -3/4) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/4 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 3/4 (/.f64 1 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 1 (*.f64 3/4 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 (/.f64 3/4 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))) |
(/.f64 (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 -3/4 (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)) (/.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))) |
(/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (/.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 3/4 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (/.f64 (/.f64 3/4 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))) (/.f64 -3/4 (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (*.f64 3/4 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 4/3 (/.f64 1 (pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1))) |
(/.f64 -4/3 (/.f64 -1 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 -3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 -3/4 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 3/4 (neg.f64 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 -3/4 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/4) (/.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/4))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) -1) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1))) |
(/.f64 (pow.f64 3/4 -1/2) (/.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1/2))) |
(/.f64 (pow.f64 1 -1/2) (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2) (/.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) -1/2) (/.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2))) |
(/.f64 (*.f64 4/3 (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 (*.f64 -4/3 (neg.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 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 4/3) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (/.f64 1 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1) (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 3/4)) (sqrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 4/3 (sqrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 4/3 (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 4/3 (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))) (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) 1) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 3/4)) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) |
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9)) |
(log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) |
(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))) |
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) 1) |
(*.f64 3/4 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 1) |
(*.f64 -1 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 3/4) |
(*.f64 -3/4 (/.f64 -1 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 3/4 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) (*.f64 3/4 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2))) -3/4) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 3/4 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 -3/4 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (/.f64 3/4 (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 (/.f64 3/4 (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 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (*.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))) |
(*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1/2) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1/2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/6)) |
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 1) |
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1) |
(pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3) |
(pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 2)) |
(log.f64 (exp.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) |
(cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (log.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) |
(log1p.f64 (expm1.f64 (/.f64 3/4 (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 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 4/3 (/.f64 (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 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 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 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 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 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 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 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 3/2 x) |
(+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x))) |
(fma.f64 -1/8 x (/.f64 3/2 x)) |
(fma.f64 x -1/8 (/.f64 3/2 x)) |
(+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/480 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 x)))) |
(fma.f64 -1/8 x (fma.f64 -1/480 (pow.f64 x 3) (/.f64 3/2 x))) |
(fma.f64 x -1/8 (fma.f64 (pow.f64 x 3) -1/480 (/.f64 3/2 x))) |
(+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/480 (pow.f64 x 3)) (+.f64 (*.f64 3/2 (/.f64 1 x)) (*.f64 -1/20160 (pow.f64 x 5))))) |
(fma.f64 -1/8 x (+.f64 (fma.f64 -1/480 (pow.f64 x 3) (/.f64 3/2 x)) (*.f64 (pow.f64 x 5) -1/20160))) |
(fma.f64 x -1/8 (fma.f64 (pow.f64 x 3) -1/480 (fma.f64 (pow.f64 x 5) -1/20160 (/.f64 3/2 x)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
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(/.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)))) |
(/.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (fabs.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2))) |
(/.f64 4/3 (/.f64 (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 4/3 (sqrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 4/3 (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(/.f64 (/.f64 4/3 (/.f64 1 (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 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))) (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) 1) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 3/4)) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 3/4))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 3/4) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 3/4)) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) |
(*.f64 4/3 (tan.f64 (*.f64 x 1/2))) |
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9)) |
(log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) |
(*.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))) |
(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 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) 1) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(*.f64 3/4 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 1) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(*.f64 -1 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(*.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(*.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(*.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 3/4) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(*.f64 -3/4 (/.f64 -1 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 3/4 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) (*.f64 3/4 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2))) -3/4) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 1 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)) |
(/.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)) |
(*.f64 (/.f64 3/4 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 -3/4 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))) |
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (/.f64 3/4 (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 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (/.f64 3/4 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 3/4) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (/.f64 (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (/.f64 3/4 (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 3/4 (*.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 (/.f64 3/4 (*.f64 (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 (*.f64 3/4 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (*.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))) |
(*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1/2) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1/2)) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3/2)) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/6)) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 1) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/3) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 2)) |
(fabs.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) |
(log.f64 (exp.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3)) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(expm1.f64 (log1p.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(exp.f64 (log.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
(log1p.f64 (expm1.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) |
(/.f64 3/4 (tan.f64 (*.f64 x 1/2))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) |
| ✓ | 0.3b | (*.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 | @ | 0 | (/.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))) |
| 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))) |
Compiled 16494 to 13382 computations (18.9% saved)
13 alts after pruning (5 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 855 | 5 | 860 |
| Fresh | 2 | 0 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 7 | 9 |
| Total | 859 | 13 | 872 |
| Status | Error | Program |
|---|---|---|
| ✓ | 35.1b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
| ✓ | 42.5b | (/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x)) |
| ✓ | 26.0b | (/.f64 (*.f64 1/4 x) 3/8) |
| 0.1b | (/.f64 (tan.f64 (*.f64 x 1/2)) 3/4) | |
| 0.2b | (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 3/4 (/.f64 1 (cos.f64 (*.f64 x 1/2))))) | |
| 0.2b | (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) | |
| 0.4b | (/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) | |
| 0.3b | (/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) | |
| ✓ | 0.4b | (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
| ✓ | 0.3b | (*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
| ✓ | 26.8b | (*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3)) |
| ✓ | 26.2b | (*.f64 x 2/3) |
| ✓ | 26.2b | (*.f64 1/4 (/.f64 1 (/.f64 3/8 x))) |
Compiled 117 to 96 computations (17.9% saved)
| Inputs |
|---|
(*.f64 x 2/3) |
(/.f64 (*.f64 1/4 x) 3/8) |
(*.f64 1/4 (/.f64 1 (/.f64 3/8 x))) |
(*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4) |
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4) |
(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3) |
(/.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 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 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3/8) |
(*.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 3/4 (/.f64 1 (cos.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 8/3 (/.f64 1 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (sin.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 4/3) |
(/.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 (cos.f64 0) (cos.f64 x)) 3/4) (/.f64 1 (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 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3) |
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (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 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 4/3 (sqrt.f64 (sin.f64 x)))) |
| Outputs |
|---|
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4) |
2 calls:
| 14.0ms | x |
| 13.0ms | (/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | (/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
Compiled 347 to 256 computations (26.2% saved)
| Inputs |
|---|
(*.f64 x 2/3) |
(/.f64 (*.f64 1/4 x) 3/8) |
(*.f64 1/4 (/.f64 1 (/.f64 3/8 x))) |
(*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
| Outputs |
|---|
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
1 calls:
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
Compiled 33 to 25 computations (24.2% saved)
Total -0.9b remaining (-3.5%)
Threshold costs -0.9b (-3.5%)
| Inputs |
|---|
(*.f64 x 2/3) |
(/.f64 (*.f64 1/4 x) 3/8) |
(*.f64 1/4 (/.f64 1 (/.f64 3/8 x))) |
(*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3)) |
| Outputs |
|---|
(/.f64 (*.f64 1/4 x) 3/8) |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 26.0b | 1 | x |
Compiled 27 to 20 computations (25.9% saved)
| 1× | egg-herbie |
| 8× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 54 |
| 1 | 24 | 54 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (*.f64 1/4 x) 3/8) |
(*.f64 x 2/3) |
| Outputs |
|---|
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (*.f64 1/4 x) 3/8) |
(/.f64 (*.f64 x 1/4) 3/8) |
(*.f64 x 2/3) |
Compiled 24 to 20 computations (16.7% saved)
| 6× | egg-herbie |
| 1576× | associate-/l* |
| 1576× | associate-/l* |
| 1576× | associate-/l* |
| 1522× | associate-/l* |
| 1054× | associate-/l/ |
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 | 700 | 11172 |
| 1 | 1772 | 9948 |
| 2 | 7730 | 9948 |
| 0 | 15 | 43 |
| 1 | 22 | 43 |
| 2 | 33 | 43 |
| 3 | 45 | 43 |
| 4 | 56 | 43 |
| 5 | 60 | 43 |
| 0 | 251 | 3322 |
| 1 | 630 | 3184 |
| 2 | 2297 | 3180 |
| 0 | 700 | 11172 |
| 1 | 1772 | 9948 |
| 2 | 7730 | 9948 |
| 1× | node limit |
| 1× | node limit |
| 1× | saturated |
| 1× | node limit |
| 1× | node limit |
| 1× | saturated |
Compiled 361 to 263 computations (27.1% saved)
Compiled 21 to 17 computations (19% saved)
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