Time bar (total: 9.7s)
| 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)
| 1.4s | 2030× | body | 1024 | valid |
| 1.2s | 5167× | body | 256 | valid |
| 436.0ms | 1055× | body | 512 | valid |
| 4.0ms | 4× | body | 2048 | valid |
| 2× | egg-herbie |
| 24× | *-commutative |
| 16× | associate-/l* |
| 16× | associate-/r/ |
| 6× | associate-*r* |
| 6× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 43 |
| 1 | 22 | 43 |
| 2 | 33 | 43 |
| 3 | 45 | 43 |
| 4 | 56 | 43 |
| 5 | 60 | 43 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3) |
(*.f64 8/3 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) |
Compiled 18 to 15 computations (16.7% saved)
| 1× | egg-herbie |
| 24× | *-commutative |
| 16× | associate-/l* |
| 16× | associate-/r/ |
| 6× | associate-*r* |
| 6× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 43 |
| 1 | 22 | 43 |
| 2 | 33 | 43 |
| 3 | 45 | 43 |
| 4 | 56 | 43 |
| 5 | 60 | 43 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3) |
(*.f64 8/3 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) |
Compiled 59 to 44 computations (25.4% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 3 | 4 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 4 | 5 |
| Status | Error | Program |
|---|---|---|
| ▶ | 13.8b | (/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
| ▶ | 13.8b | (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) |
| ▶ | 13.8b | (*.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 |
|---|---|---|
| ✓ | 0.3b | (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) |
| ✓ | 0.4b | (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3) |
| ✓ | 13.6b | (/.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)) |
| 0.0ms | 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 |
|---|---|---|
| 0.3b | (*.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)))) |
| ✓ | 13.6b | (/.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 | @ | -inf | (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
| 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 | @ | 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))) |
| ✓ | 13.6b | (/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
Compiled 54 to 43 computations (20.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 1490× | associate-/r* |
| 1454× | associate-/l* |
| 1056× | associate-*r/ |
| 916× | associate-*l/ |
| 282× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 93 |
| 1 | 289 | 73 |
| 2 | 3436 | 73 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (*.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)))) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (*.f64 2 (*.f64 x 1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (*.f64 2 (*.f64 x 1/2)))) 8/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))) |
| 1× | egg-herbie |
| 1494× | unswap-sqr |
| 828× | distribute-rgt-in |
| 828× | distribute-lft-in |
| 714× | associate-/r* |
| 580× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 276 | 4380 |
| 1 | 701 | 4250 |
| 2 | 2603 | 4240 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 4/3 x) |
(+.f64 (*.f64 4/3 x) (*.f64 -1/18 (pow.f64 x 3))) |
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3)))) |
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 -1/241920 (pow.f64 x 7)) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 2/3 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6))))) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1) |
(*.f64 8/3 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x)))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) |
(*.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) |
(*.f64 1 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(*.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (*.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(*.f64 (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 -1 (sin.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3) |
(*.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 8/3) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (sin.f64 x)) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)))) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) |
(pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1) |
(neg.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 1) |
(pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) |
(pow.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3) |
(pow.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) |
(log.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))) |
(cbrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) |
(exp.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1) |
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (*.f64 2 (*.f64 x 1/2))))) 2) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (*.f64 2 (*.f64 x 1/2)))) 8/3) 2) |
(pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) |
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) |
(pow.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3) |
(pow.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) |
(log.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) |
(cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(exp.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
| Outputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 4/3 x) |
(*.f64 x 4/3) |
(+.f64 (*.f64 4/3 x) (*.f64 -1/18 (pow.f64 x 3))) |
(fma.f64 4/3 x (*.f64 (pow.f64 x 3) -1/18)) |
(fma.f64 x 4/3 (*.f64 (pow.f64 x 3) -1/18)) |
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3)))) |
(fma.f64 4/3 x (fma.f64 1/1440 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/18))) |
(fma.f64 x 4/3 (fma.f64 (pow.f64 x 3) -1/18 (*.f64 (pow.f64 x 5) 1/1440))) |
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 -1/241920 (pow.f64 x 7)) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))) |
(fma.f64 4/3 x (fma.f64 -1/241920 (pow.f64 x 7) (fma.f64 1/1440 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/18)))) |
(fma.f64 x 4/3 (fma.f64 (pow.f64 x 7) -1/241920 (fma.f64 (pow.f64 x 3) -1/18 (*.f64 (pow.f64 x 5) 1/1440)))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 8/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2))) |
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 2/3 (*.f64 x x))) |
(fma.f64 2/3 (*.f64 x x) (*.f64 -1/18 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6)))) |
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (*.f64 1/540 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6))))) |
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 -1/30240 (pow.f64 x 8) (*.f64 1/540 (pow.f64 x 6))))) |
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 1/540 (pow.f64 x 6) (*.f64 -1/30240 (pow.f64 x 8))))) |
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(*.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (/.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) (sin.f64 x))) (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) |
(pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(pow.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 2) |
(pow.f64 (*.f64 (/.f64 (sqrt.f64 8/3) (sqrt.f64 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) 2) |
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 8/3) (sqrt.f64 (sin.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(pow.f64 (/.f64 (sin.f64 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(neg.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) |
(fabs.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(log.f64 (exp.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3)) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(exp.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1)) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 1) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(pow.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(pow.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) 1/3) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) |
(log.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(cbrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(expm1.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(exp.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1)) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 8/3 (sin.f64 (*.f64 x 1/2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (*.f64 2 (*.f64 x 1/2))))) 2) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 2 (*.f64 x 1/2)))) 3/4) |
(*.f64 4/3 (-.f64 1 (cos.f64 (*.f64 x 1)))) |
(-.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1)) 3/4)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (*.f64 2 (*.f64 x 1/2)))) 8/3) 2) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 2 (*.f64 x 1/2)))) 3/4) |
(*.f64 4/3 (-.f64 1 (cos.f64 (*.f64 x 1)))) |
(-.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1)) 3/4)) |
(pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) |
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(pow.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) |
(fabs.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(log.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3))) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(expm1.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(exp.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1)) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(log1p.f64 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) |
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
Compiled 14244 to 9786 computations (31.3% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 779 | 17 | 796 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 0 | 2 |
| Total | 782 | 17 | 799 |
| Status | Error | Program |
|---|---|---|
| 13.9b | (/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)) | |
| 13.7b | (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x))) | |
| 13.6b | (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8) | |
| 0.6b | (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) | |
| 31.8b | (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) | |
| 31.6b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) | |
| ▶ | 31.8b | (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x)) |
| 43.6b | (/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x)) | |
| ▶ | 0.3b | (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)) |
| 31.6b | (/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) | |
| 30.6b | (+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) | |
| 30.5b | (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) | |
| ▶ | 31.6b | (*.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x))) |
| 13.8b | (*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) | |
| ▶ | 31.7b | (*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 -1 (sin.f64 x))) |
| 0.4b | (*.f64 (tan.f64 (/.f64 x 2)) 4/3) | |
| ▶ | 30.1b | (*.f64 x 2/3) |
Compiled 396 to 324 computations (18.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3) |
| ✓ | 0.2b | (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)) |
| ✓ | 0.2b | (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
Compiled 43 to 29 computations (32.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
| 0.0ms | x | @ | -inf | (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3) |
| 0.0ms | x | @ | 0 | (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
| 1× | batch-egg-rewrite |
| 1174× | associate-/r/ |
| 866× | swap-sqr |
| 812× | unswap-sqr |
| 754× | associate-/l/ |
| 360× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 91 |
| 1 | 260 | 91 |
| 2 | 3427 | 87 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)) |
(/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (neg.f64 (/.f64 -1 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2))))) 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1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))))) |
| 1× | egg-herbie |
| 906× | associate-*r* |
| 880× | *-commutative |
| 822× | distribute-lft-neg-in |
| 766× | associate-*l* |
| 704× | distribute-rgt-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 560 | 9729 |
| 1 | 1566 | 9293 |
| 2 | 6169 | 9293 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2))) |
(+.f64 (*.f64 1/192 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))) |
(+.f64 (*.f64 1/192 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/23040 (pow.f64 x 6))))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
3/4 |
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2))) |
(+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/61440 (pow.f64 x 6)) (+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2))))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
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(*.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))) (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) -1) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)) |
(neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8) 1)) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2) 9/64)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3/8)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) |
| Outputs |
|---|
2 |
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2))) |
(+.f64 2 (*.f64 -1/4 (*.f64 x x))) |
(fma.f64 -1/4 (*.f64 x x) 2) |
(+.f64 (*.f64 1/192 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))) |
(fma.f64 1/192 (pow.f64 x 4) (+.f64 2 (*.f64 -1/4 (*.f64 x x)))) |
(fma.f64 1/192 (pow.f64 x 4) (fma.f64 -1/4 (*.f64 x x) 2)) |
(+.f64 (*.f64 1/192 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/23040 (pow.f64 x 6))))) |
(fma.f64 1/192 (pow.f64 x 4) (+.f64 2 (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/23040 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/23040 (pow.f64 x 6) (*.f64 x (*.f64 x -1/4))) (fma.f64 1/192 (pow.f64 x 4) 2)) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 2/3 x) |
(*.f64 x 2/3) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 x 2/3))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 x 2/3)))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
3/4 |
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2))) |
(+.f64 3/4 (*.f64 (*.f64 x x) -3/32)) |
(fma.f64 (*.f64 x x) -3/32 3/4) |
(+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))) |
(fma.f64 1/512 (pow.f64 x 4) (+.f64 3/4 (*.f64 (*.f64 x x) -3/32))) |
(fma.f64 (pow.f64 x 4) 1/512 (fma.f64 (*.f64 x x) -3/32 3/4)) |
(+.f64 (*.f64 -1/61440 (pow.f64 x 6)) (+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2))))) |
(fma.f64 -1/61440 (pow.f64 x 6) (fma.f64 1/512 (pow.f64 x 4) (+.f64 3/4 (*.f64 (*.f64 x x) -3/32)))) |
(fma.f64 (pow.f64 x 6) -1/61440 (fma.f64 (pow.f64 x 4) 1/512 (fma.f64 (*.f64 x x) -3/32 3/4))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 1) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 x) (neg.f64 (/.f64 -1 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 1 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2)) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2))))) (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2))))))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))) (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2))))))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (/.f64 (sin.f64 x) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(*.f64 -1 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2)) (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 -1 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.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 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) |
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(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
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(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 2) |
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8)))) 2) |
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 3/8 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 3) |
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(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3/8)) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))) -3/8) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8))) (neg.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (sin.f64 x) 8/3) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 -1 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)) (neg.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 -3/8 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 3/8 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 3/8 (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 1 (/.f64 8/3 (sin.f64 x))) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 1 (*.f64 8/3 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (/.f64 3/8 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) |
(/.f64 (*.f64 3/8 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 8/3 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 8/3) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2) 8/3) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 3/8 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (/.f64 (sin.f64 x) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 3/8 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 3/8 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(*.f64 (/.f64 3/8 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) 1)) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))) (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))))) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 1) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 3) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 3) 1/3) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) -1) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8) 1)) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2) 9/64)) |
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3/8)) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 3)) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 1)) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) |
(/.f64 (*.f64 (sin.f64 x) 3/8) (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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 x 2/3) |
| 0.0ms | x | @ | inf | (*.f64 x 2/3) |
| 0.0ms | x | @ | 0 | (*.f64 x 2/3) |
| 1× | batch-egg-rewrite |
| 924× | associate-*l* |
| 902× | add-sqr-sqrt |
| 884× | *-un-lft-identity |
| 842× | pow1 |
| 826× | add-cube-cbrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 100 | 7 |
| 2 | 1110 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x 2/3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x 2/3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 2/3))))))) |
| 1× | egg-herbie |
| 862× | log-prod |
| 820× | associate-+r- |
| 788× | +-commutative |
| 696× | fma-def |
| 672× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 161 |
| 1 | 84 | 161 |
| 2 | 259 | 161 |
| 3 | 1819 | 161 |
| 4 | 4000 | 161 |
| 5 | 6465 | 161 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
(pow.f64 (*.f64 x 2/3) 1) |
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) |
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3) |
(sqrt.f64 (*.f64 x (*.f64 x 4/9))) |
(log.f64 (pow.f64 (exp.f64 2/3) x)) |
(cbrt.f64 (pow.f64 (*.f64 x 2/3) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x 2/3))) |
(exp.f64 (log.f64 (*.f64 x 2/3))) |
(log1p.f64 (expm1.f64 (*.f64 x 2/3))) |
| Outputs |
|---|
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
(*.f64 2/3 x) |
(pow.f64 (*.f64 x 2/3) 1) |
(*.f64 2/3 x) |
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2) |
(*.f64 2/3 x) |
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) |
(*.f64 2/3 x) |
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3) |
(*.f64 2/3 x) |
(sqrt.f64 (*.f64 x (*.f64 x 4/9))) |
(*.f64 2/3 x) |
(log.f64 (pow.f64 (exp.f64 2/3) x)) |
(*.f64 2/3 x) |
(cbrt.f64 (pow.f64 (*.f64 x 2/3) 3)) |
(*.f64 2/3 x) |
(expm1.f64 (log1p.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(exp.f64 (log.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(log1p.f64 (expm1.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x)) |
| ✓ | 0.2b | (*.f64 -4/3 (cos.f64 x)) |
| ✓ | 2.0b | (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
Compiled 27 to 16 computations (40.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
| 0.0ms | x | @ | inf | (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1028× | *-commutative |
| 1012× | associate-*r/ |
| 760× | associate-*l/ |
| 758× | associate-/r* |
| 600× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 55 |
| 1 | 233 | 47 |
| 2 | 2942 | 47 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) |
(*.f64 -4/3 (cos.f64 x)) |
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x)))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/9 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (/.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))))) (#(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 (fma.f64 -4/3 (cos.f64 x) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -4/3 (cos.f64 x) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (/.f64 1 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) (neg.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2)) (neg.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))) (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -4/3 (cos.f64 x) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (+.f64 16/9 (*.f64 (cos.f64 x) (+.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (-.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) (-.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (+.f64 4096/729 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) 3))) (+.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) (-.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) 16/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))) (sqrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) (cbrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))) (cbrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2))) (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 -4/3 (cos.f64 x) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (/.f64 1 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (/.f64 1 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (/.f64 1 (/.f64 1 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (/.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))) (sqrt.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (cbrt.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)))) (/.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))) (cbrt.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))))) (/.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (cbrt.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (*.f64 1 (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (neg.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (*.f64 1 (neg.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9) (-.f64 (*.f64 -4/3 (cos.f64 x)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9) (*.f64 1 (-.f64 (*.f64 -4/3 (cos.f64 x)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4096/729 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (*.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 256/81 (*.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) (*.f64 16/9 (pow.f64 (cos.f64 x) 2)))) (*.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (+.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 262144/19683 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 3)) (*.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))) (+.f64 4096/729 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 64/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4096/729 (pow.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) 3)) (*.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (+.f64 256/81 (*.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))))) (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)))) (neg.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9)) (-.f64 (*.f64 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(cos.f64 x) 4/3) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (fma.f64 -4/3 (cos.f64 x) 4/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 708× | distribute-lft-neg-out |
| 686× | associate-*r* |
| 666× | distribute-rgt-neg-out |
| 656× | distribute-lft-neg-in |
| 602× | distribute-rgt-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 403 | 6719 |
| 1 | 1067 | 6139 |
| 2 | 5144 | 5779 |
| 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))))) |
-4/3 |
(-.f64 (*.f64 2/3 (pow.f64 x 2)) 4/3) |
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 -1/18 (pow.f64 x 4))) 4/3) |
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 1/540 (pow.f64 x 6)))) 4/3) |
(*.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 (*.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 (exp.f64 (log1p.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x)))) -1/3) |
(-.f64 (/.f64 16/9 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (/.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) |
(-.f64 (+.f64 4/3 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x))))) 1) |
(*.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 1) |
(*.f64 1 (fma.f64 -4/3 (cos.f64 x) 4/3)) |
(*.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) |
(*.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) |
(*.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) |
(*.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (/.f64 1 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) |
(*.f64 -1 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) (neg.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2)) (neg.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))) |
(*.f64 (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 1 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))) (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) |
(*.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -4/3 (cos.f64 x) 4/3)) |
(*.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (+.f64 16/9 (*.f64 (cos.f64 x) (+.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))) |
(*.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (-.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) (-.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))) |
(*.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (+.f64 4096/729 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) 3))) (+.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) (-.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) 16/9)))) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))) (sqrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) (cbrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))) (cbrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2))) (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) |
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 1) |
(/.f64 1 (/.f64 1 (fma.f64 -4/3 (cos.f64 x) 4/3))) |
(/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (/.f64 1 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))) |
(/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (/.f64 1 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))) |
(/.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 -16/9 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))) |
(/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))) |
(/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (/.f64 1 (/.f64 1 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))))) |
(/.f64 (sqrt.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (/.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))) (sqrt.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))))) |
(/.f64 (sqrt.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (cbrt.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)))) (/.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))) (cbrt.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))))) (/.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (cbrt.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (neg.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (*.f64 1 (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))) |
(/.f64 (neg.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (neg.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) |
(/.f64 (neg.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (*.f64 1 (neg.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))))) |
(/.f64 (-.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9) (-.f64 (*.f64 -4/3 (cos.f64 x)) 4/3)) |
(/.f64 (-.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9) (*.f64 1 (-.f64 (*.f64 -4/3 (cos.f64 x)) 4/3))) |
(/.f64 (-.f64 4096/729 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (*.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)))) |
(/.f64 (-.f64 256/81 (*.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) (*.f64 16/9 (pow.f64 (cos.f64 x) 2)))) (*.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (+.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9))) |
(/.f64 (+.f64 262144/19683 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 3)) (*.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))) (+.f64 4096/729 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 64/27))))) |
(/.f64 (-.f64 4096/729 (pow.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) 3)) (*.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (+.f64 256/81 (*.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9))))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))))) (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)))) (neg.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9)) (-.f64 (*.f64 -4/3 (cos.f64 x)) 4/3)) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)))) (sqrt.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (cbrt.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)))) (cbrt.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (cbrt.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))))) (cbrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) 1) (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) 1) (neg.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) |
(/.f64 (*.f64 (-.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9) 1) (-.f64 (*.f64 -4/3 (cos.f64 x)) 4/3)) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) (sqrt.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) (sqrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2)) (cbrt.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2)) (cbrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) |
(/.f64 (*.f64 (-.f64 256/81 (*.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) (*.f64 16/9 (pow.f64 (cos.f64 x) 2)))) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) (+.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9)) |
(/.f64 (*.f64 (-.f64 4096/729 (pow.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) 3)) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) (+.f64 256/81 (*.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9)))) |
(/.f64 (*.f64 (-.f64 4096/729 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (/.f64 1 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) |
(/.f64 (*.f64 (+.f64 262144/19683 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 3)) (/.f64 1 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) (+.f64 4096/729 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 64/27)))) |
(/.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) 1) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) |
(/.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) (sqrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) |
(/.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (*.f64 (cbrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (cbrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))) (cbrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) |
(/.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) 1) (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))) |
(/.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sqrt.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) (sqrt.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) |
(/.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (*.f64 (cbrt.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))) (cbrt.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))))) (cbrt.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) |
(pow.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 1) |
(pow.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 3) |
(pow.f64 (pow.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 3) 1/3) |
(neg.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) |
(sqrt.f64 (pow.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 2)) |
(log.f64 (exp.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))) |
(cbrt.f64 (pow.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) |
(exp.f64 (log.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) |
(log1p.f64 (expm1.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) |
(fma.f64 -4/3 (cos.f64 x) 4/3) |
(fma.f64 (cos.f64 x) -4/3 4/3) |
(fma.f64 1 (*.f64 -4/3 (cos.f64 x)) 4/3) |
(fma.f64 (sqrt.f64 (*.f64 -4/3 (cos.f64 x))) (sqrt.f64 (*.f64 -4/3 (cos.f64 x))) 4/3) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -4/3 (cos.f64 x))) 2) (cbrt.f64 (*.f64 -4/3 (cos.f64 x))) 4/3) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x)))) 1) |
(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 (pow.f64 (cos.f64 x) 3) -64/27) 1/3) |
(sqrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2))) |
(log.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -4/3 (cos.f64 x))))) |
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) |
(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)))) |
(+.f64 (*.f64 (/.f64 1 (sin.f64 x)) 4/3) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 -4/3 (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 -4/3 (cos.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) 4/3)) |
(+.f64 (*.f64 4/3 (/.f64 1 (sin.f64 x))) (*.f64 (*.f64 -4/3 (cos.f64 x)) (/.f64 1 (sin.f64 x)))) |
(+.f64 (*.f64 (*.f64 -4/3 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (*.f64 4/3 (/.f64 1 (sin.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))) 1) |
(*.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1) |
(*.f64 1 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))) |
(*.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x))) |
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 -4/3 (cos.f64 x) 4/3)) |
(*.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (/.f64 -1 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)) (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) 1)) |
(*.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 1) (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (sin.f64 x)) (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2))) (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) |
(*.f64 (/.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (sin.f64 x)) (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -4/3 (cos.f64 x) 4/3)) |
(*.f64 (/.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (sin.f64 x)) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (+.f64 16/9 (*.f64 (cos.f64 x) (+.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))) |
(*.f64 (/.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x)) (-.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) (-.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))) |
(*.f64 (/.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x)) (+.f64 4096/729 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) 3))) (+.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) (-.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) 16/9)))) |
(pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 -4/3 (cos.f64 x) 4/3)) -1) |
(neg.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.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 2/3 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (*.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))))) |
-4/3 |
(-.f64 (*.f64 2/3 (pow.f64 x 2)) 4/3) |
(fma.f64 2/3 (*.f64 x x) -4/3) |
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 -1/18 (pow.f64 x 4))) 4/3) |
(+.f64 (fma.f64 -1/18 (pow.f64 x 4) (*.f64 2/3 (*.f64 x x))) -4/3) |
(fma.f64 2/3 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) -4/3)) |
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 1/540 (pow.f64 x 6)))) 4/3) |
(+.f64 (fma.f64 2/3 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (*.f64 1/540 (pow.f64 x 6)))) -4/3) |
(+.f64 (fma.f64 2/3 (*.f64 x x) (*.f64 1/540 (pow.f64 x 6))) (fma.f64 -1/18 (pow.f64 x 4) -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 (exp.f64 (log1p.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) 1) |
(fma.f64 -4/3 (cos.f64 x) 4/3) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x)))) -1/3) |
(fma.f64 -4/3 (cos.f64 x) 4/3) |
(-.f64 (/.f64 16/9 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (/.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) |
(-.f64 (/.f64 16/9 (fma.f64 4/3 (cos.f64 x) 4/3)) (*.f64 (/.f64 16/9 (fma.f64 4/3 (cos.f64 x) 4/3)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (fma.f64 4/3 (cos.f64 x) 4/3)) |
(-.f64 (+.f64 4/3 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x))))) 1) |
(fma.f64 -4/3 (cos.f64 x) 4/3) |
(*.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 1) |
(fma.f64 -4/3 (cos.f64 x) 4/3) |
(*.f64 1 (fma.f64 -4/3 (cos.f64 x) 4/3)) |
(fma.f64 -4/3 (cos.f64 x) 4/3) |
(*.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) |
(fma.f64 -4/3 (cos.f64 x) 4/3) |
(*.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2)) |
(fma.f64 -4/3 (cos.f64 x) 4/3) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) |
(fma.f64 -4/3 (cos.f64 x) 4/3) |
(*.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) |
(-.f64 (/.f64 16/9 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (/.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) |
(-.f64 (/.f64 16/9 (fma.f64 4/3 (cos.f64 x) 4/3)) (*.f64 (/.f64 16/9 (fma.f64 4/3 (cos.f64 x) 4/3)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (fma.f64 4/3 (cos.f64 x) 4/3)) |
(*.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (/.f64 1 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) |
(/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (+.f64 16/9 (*.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) 16/9)))) |
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 -4/3 (cos.f64 x))))) |
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(/.f64 (*.f64 (/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (sin.f64 x)) (+.f64 16/9 (*.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) -16/9)))) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) |
(*.f64 (fma.f64 (cos.f64 x) (fma.f64 (cos.f64 x) 16/9 -16/9) 16/9) (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (*.f64 (+.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3))) (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x)) (-.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) (-.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))) |
(*.f64 (-.f64 16/9 (*.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) 16/9))) (/.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x)) (-.f64 256/81 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (fma.f64 16/9 (cos.f64 x) 16/9) (fma.f64 16/9 (cos.f64 x) 16/9)))))) |
(*.f64 (-.f64 16/9 (*.f64 (cos.f64 x) (fma.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 256/81 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (fma.f64 (cos.f64 x) 16/9 16/9) (fma.f64 (cos.f64 x) 16/9 16/9)))))) |
(*.f64 (/.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x)) (+.f64 4096/729 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) 3))) (+.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) (-.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) 16/9)))) |
(/.f64 (*.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x)) (+.f64 256/81 (*.f64 (cos.f64 x) (*.f64 (fma.f64 16/9 (cos.f64 x) 16/9) (fma.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) 16/9) -16/9))))) (+.f64 4096/729 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) 16/9)) 3))) |
(/.f64 (*.f64 (fma.f64 (cos.f64 x) (*.f64 (fma.f64 (cos.f64 x) 16/9 16/9) (fma.f64 (cos.f64 x) (fma.f64 (cos.f64 x) 16/9 16/9) -16/9)) 256/81) (/.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) (fma.f64 (cos.f64 x) 16/9 16/9)) 3))) |
(pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1) |
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) 2) |
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) 3) |
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 3) 1/3) |
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) |
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 -4/3 (cos.f64 x) 4/3)) -1) |
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) |
(neg.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (neg.f64 (sin.f64 x)))) |
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 2)) |
(fabs.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) |
(log.f64 (exp.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))) |
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))) |
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 3)) |
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))) |
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) |
(exp.f64 (log.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))) |
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))) |
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 -1 (sin.f64 x)) |
| ✓ | 0.2b | (*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 -1 (sin.f64 x))) |
| ✓ | 0.2b | (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) |
| ✓ | 1.8b | (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
Compiled 45 to 30 computations (33.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 -1 (sin.f64 x))) |
| 1.0ms | x | @ | -inf | (*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 -1 (sin.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 -1 (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 -1 (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) |
| 1× | batch-egg-rewrite |
| 1626× | associate-*r/ |
| 1260× | associate-*l/ |
| 616× | distribute-lft-in |
| 530× | associate-/r* |
| 356× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 90 |
| 1 | 316 | 72 |
| 2 | 3745 | 72 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) |
(*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 -1 (sin.f64 x))) |
(/.f64 -1 (sin.f64 x)) |
| Outputs |
|---|
((#(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 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1/4 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (sin.f64 x))) (sqrt.f64 (/.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) (pow.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) 2) (/.f64 -1 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 -1 (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 -1 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 1168× | associate-*r* |
| 1164× | associate-*l* |
| 940× | associate-/l/ |
| 692× | associate-/r* |
| 684× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 774 | 16720 |
| 1 | 2029 | 15652 |
| 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 (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 -1/540 (pow.f64 x 6)) (*.f64 -2/3 (pow.f64 x 2)))) |
(+.f64 (*.f64 1/30240 (pow.f64 x 8)) (+.f64 (*.f64 1/18 (pow.f64 x 4)) (+.f64 (*.f64 -1/540 (pow.f64 x 6)) (*.f64 -2/3 (pow.f64 x 2))))) |
(*.f64 -8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 -8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 -8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 -8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 -8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 -8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 -8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 -8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 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 x) |
(-.f64 (*.f64 -1/6 x) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -7/360 (pow.f64 x 3)) (*.f64 -1/6 x)) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -31/15120 (pow.f64 x 5)) (+.f64 (*.f64 -7/360 (pow.f64 x 3)) (*.f64 -1/6 x))) (/.f64 1 x)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))) 1/2) |
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1/4 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (+.f64 1/2 (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 1/16 (-.f64 (*.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 1 (/.f64 1 (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 1/8 (*.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 (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))))) |
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(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -8/3) (pow.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) 2)) -1) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -8/3) (pow.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) 2)) 1) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 (sqrt.f64 (sin.f64 x)) -8/3)) -1) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -8/3)) -1) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -8/3)) 1) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) 1/4) (/.f64 8/3 (sin.f64 x))) (-.f64 (*.f64 -1/2 (cos.f64 x)) 1/2)) |
(/.f64 (*.f64 (neg.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (/.f64 8/3 (sin.f64 x))) (neg.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (/.f64 8/3 (sin.f64 x))) (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))))) |
(/.f64 (*.f64 (*.f64 -8/3 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (/.f64 -1 (sin.f64 x))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (*.f64 (+.f64 -1/3 (*.f64 -8/3 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (/.f64 -1 (sin.f64 x))) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))) |
(/.f64 (*.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) -8/3) (/.f64 -1 (sin.f64 x))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) -8/3) (/.f64 -1 (sin.f64 x))) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))) |
(/.f64 (*.f64 (/.f64 -1 (sqrt.f64 (sin.f64 x))) (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -8/3)) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -8/3)) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 8/3 (sin.f64 x))) 1) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 8/3 (sin.f64 x))) 1) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))) |
(/.f64 (*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3/8) 1) (sin.f64 x)) |
(/.f64 (*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 (sqrt.f64 (sin.f64 x)) 8/3)) 1) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 1) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) 1) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) (sqrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (*.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 8/3 (sin.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 (sqrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (*.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 8/3 (sin.f64 x)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(/.f64 (*.f64 1 (/.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -8/3) (sqrt.f64 (neg.f64 (sin.f64 x))))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -8/3) (sqrt.f64 (neg.f64 (sin.f64 x))))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))) 2)) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 8/3 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sin.f64 x)) |
(/.f64 (*.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -8/3) (/.f64 -1 (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(/.f64 (/.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -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 (fma.f64 -1/2 (cos.f64 x) 1/2) -8/3) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -8/3) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 8/3 (sin.f64 x))) 1) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 8/3 (sin.f64 x))) (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 8/3 (sin.f64 x))) 1) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))) |
(/.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (+.f64 (*.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 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 8/3 (sin.f64 x))) (*.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)))))) |
(/.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3/8) 1) (sin.f64 x)) |
(/.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3/8) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(/.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 (sqrt.f64 (sin.f64 x)) 8/3)) 1) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 (sqrt.f64 (sin.f64 x)) 8/3)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 (sqrt.f64 (sin.f64 x)) 8/3)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 (sqrt.f64 (sin.f64 x)) 8/3)) (sqrt.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 1) (cbrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3) (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 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3) (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 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3) (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 (/.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) -1) (sin.f64 x)) |
(/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) 1) (neg.f64 (sin.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 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 (neg.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(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) |
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) 2)) |
(log.f64 (pow.f64 (exp.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)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -8/3) 3) (pow.f64 (/.f64 -1 (sin.f64 x)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (sin.f64 x)) 3) (pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -8/3) 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 (exp.f64 (log1p.f64 (/.f64 -1 (sin.f64 x)))) 1) |
(*.f64 -1 (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 -1 (sin.f64 x)) 1) |
(*.f64 1 (/.f64 -1 (sin.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 -1 (sin.f64 x))) (sqrt.f64 (/.f64 -1 (sin.f64 x)))) |
(*.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) (pow.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) 2)) |
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) 2) (/.f64 -1 (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) -1) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 -1 (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 -1 (cbrt.f64 (sin.f64 x)))) |
(pow.f64 (/.f64 -1 (sin.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 -1 (sin.f64 x))) 2) |
(pow.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 -1 (sin.f64 x)) 3) 1/3) |
(pow.f64 (neg.f64 (sin.f64 x)) -1) |
(neg.f64 (/.f64 1 (sin.f64 x))) |
(sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) |
(log.f64 (exp.f64 (/.f64 -1 (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 -1 (sin.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 -1 (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 -1 (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 -1 (sin.f64 x)))) |
| Outputs |
|---|
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (*.f64 x x)) |
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4))) |
(fma.f64 1/4 (*.f64 x x) (*.f64 -1/48 (pow.f64 x 4))) |
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))) |
(fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 -1/48 (pow.f64 x 4)))) |
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))) |
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 -1/48 (pow.f64 x 4))))) |
(*.f64 -2/3 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -2/3) |
(*.f64 x (*.f64 x -2/3)) |
(+.f64 (*.f64 1/18 (pow.f64 x 4)) (*.f64 -2/3 (pow.f64 x 2))) |
(fma.f64 1/18 (pow.f64 x 4) (*.f64 (*.f64 x x) -2/3)) |
(fma.f64 1/18 (pow.f64 x 4) (*.f64 x (*.f64 x -2/3))) |
(+.f64 (*.f64 1/18 (pow.f64 x 4)) (+.f64 (*.f64 -1/540 (pow.f64 x 6)) (*.f64 -2/3 (pow.f64 x 2)))) |
(fma.f64 1/18 (pow.f64 x 4) (fma.f64 -1/540 (pow.f64 x 6) (*.f64 (*.f64 x x) -2/3))) |
(fma.f64 1/18 (pow.f64 x 4) (fma.f64 -1/540 (pow.f64 x 6) (*.f64 x (*.f64 x -2/3)))) |
(+.f64 (*.f64 1/30240 (pow.f64 x 8)) (+.f64 (*.f64 1/18 (pow.f64 x 4)) (+.f64 (*.f64 -1/540 (pow.f64 x 6)) (*.f64 -2/3 (pow.f64 x 2))))) |
(fma.f64 1/30240 (pow.f64 x 8) (fma.f64 1/18 (pow.f64 x 4) (fma.f64 -1/540 (pow.f64 x 6) (*.f64 (*.f64 x x) -2/3)))) |
(fma.f64 1/30240 (pow.f64 x 8) (fma.f64 1/18 (pow.f64 x 4) (fma.f64 -1/540 (pow.f64 x 6) (*.f64 x (*.f64 x -2/3))))) |
(*.f64 -8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(+.f64 -4/3 (*.f64 4/3 (cos.f64 x))) |
(+.f64 -4/3 (*.f64 (cos.f64 x) 4/3)) |
(*.f64 -8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(+.f64 -4/3 (*.f64 4/3 (cos.f64 x))) |
(+.f64 -4/3 (*.f64 (cos.f64 x) 4/3)) |
(*.f64 -8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(+.f64 -4/3 (*.f64 4/3 (cos.f64 x))) |
(+.f64 -4/3 (*.f64 (cos.f64 x) 4/3)) |
(*.f64 -8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(+.f64 -4/3 (*.f64 4/3 (cos.f64 x))) |
(+.f64 -4/3 (*.f64 (cos.f64 x) 4/3)) |
(*.f64 -8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(+.f64 -4/3 (*.f64 4/3 (cos.f64 x))) |
(+.f64 -4/3 (*.f64 (cos.f64 x) 4/3)) |
(*.f64 -8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(+.f64 -4/3 (*.f64 4/3 (cos.f64 x))) |
(+.f64 -4/3 (*.f64 (cos.f64 x) 4/3)) |
(*.f64 -8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
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(*.f64 -8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
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(*.f64 2/3 x) |
(*.f64 x 2/3) |
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(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) |
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(fma.f64 1/18 (pow.f64 x 3) (fma.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 2/3 x (*.f64 1/180 (pow.f64 x 5))))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
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(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
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(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
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(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x)) |
(/.f64 -1 x) |
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(-.f64 (fma.f64 -7/360 (pow.f64 x 3) (*.f64 x -1/6)) (/.f64 1 x)) |
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(-.f64 (fma.f64 -31/15120 (pow.f64 x 5) (fma.f64 -7/360 (pow.f64 x 3) (*.f64 x -1/6))) (/.f64 1 x)) |
(+.f64 (fma.f64 -31/15120 (pow.f64 x 5) (fma.f64 -7/360 (pow.f64 x 3) (*.f64 x -1/6))) (/.f64 -1 x)) |
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(+.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))) -1/2) |
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(-.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x))))) 1) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))) -1/2) |
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(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 1) |
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(fma.f64 -1/2 (cos.f64 x) 1/2) |
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(fma.f64 -1/2 (cos.f64 x) 1/2) |
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(fma.f64 -1/2 (cos.f64 x) 1/2) |
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(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (*.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (pow.f64 (cos.f64 x) 2))) |
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(*.f64 (/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -1/2 (cos.f64 x) 1/2)) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
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(/.f64 (*.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2))) (+.f64 1/4 (*.f64 (*.f64 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2)))) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) |
(/.f64 (*.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)) (+.f64 1/4 (*.f64 -1/2 (*.f64 (cos.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))))) (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 x) 3)))) |
(*.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 1/16 (*.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 (cos.f64 x) -1/4))) |
(*.f64 (/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (-.f64 1/16 (*.f64 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (-.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
(*.f64 (/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (+.f64 1/64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) 3))) (+.f64 1/16 (-.f64 (*.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 (+.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 1/16 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (cos.f64 x))) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (cos.f64 x))) 1/4)))) |
(*.f64 (/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (+.f64 1/64 (pow.f64 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) 3))) (+.f64 1/16 (*.f64 (*.f64 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 1 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (*.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) |
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(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (+.f64 1/4 (*.f64 1/4 (cos.f64 x))))) |
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) |
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(/.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)))))) |
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(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) 1/4) (-.f64 (*.f64 -1/2 (cos.f64 x)) 1/2)) |
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(cbrt.f64 (*.f64 (pow.f64 (+.f64 -4/3 (*.f64 (cos.f64 x) 4/3)) 3) (pow.f64 (/.f64 -1 (sin.f64 x)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (sin.f64 x)) 3) (pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -8/3) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))) 3) (/.f64 -1 (pow.f64 (sin.f64 x) 3)))) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -4/3 (*.f64 (cos.f64 x) 4/3)) 3) (pow.f64 (/.f64 -1 (sin.f64 x)) 3))) |
(expm1.f64 (log1p.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 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x)) |
(exp.f64 (log.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 4/3 (*.f64 -4/3 (cos.f64 x))) (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)) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x)) |
(log1p.f64 (expm1.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 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (sin.f64 x)))) 1) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 -1 (/.f64 1 (sin.f64 x))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (/.f64 -1 (sin.f64 x)) 1) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 1 (/.f64 -1 (sin.f64 x))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 -1 (sin.f64 x))) (sqrt.f64 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) (pow.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) 2)) |
(pow.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) 3) |
(/.f64 -1 (pow.f64 (cbrt.f64 (sin.f64 x)) 3)) |
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) 2) (/.f64 -1 (cbrt.f64 (sin.f64 x)))) |
(pow.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) 3) |
(/.f64 -1 (pow.f64 (cbrt.f64 (sin.f64 x)) 3)) |
(*.f64 (/.f64 1 (sin.f64 x)) -1) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 -1 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 1 (/.f64 -1 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 -1 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 -1 (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(pow.f64 (/.f64 -1 (sin.f64 x)) 1) |
(/.f64 -1 (sin.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 -1 (sin.f64 x))) 2) |
(/.f64 -1 (sin.f64 x)) |
(pow.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) 3) |
(/.f64 -1 (pow.f64 (cbrt.f64 (sin.f64 x)) 3)) |
(pow.f64 (pow.f64 (/.f64 -1 (sin.f64 x)) 3) 1/3) |
(/.f64 -1 (sin.f64 x)) |
(pow.f64 (neg.f64 (sin.f64 x)) -1) |
(/.f64 -1 (sin.f64 x)) |
(neg.f64 (/.f64 1 (sin.f64 x))) |
(/.f64 -1 (sin.f64 x)) |
(sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) |
(log.f64 (exp.f64 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (sin.f64 x))))) |
(/.f64 -1 (sin.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 -1 (sin.f64 x)) 3)) |
(/.f64 -1 (sin.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(exp.f64 (log.f64 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (sin.f64 x))) 1)) |
(/.f64 -1 (sin.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1 (sin.f64 x)) |
| ✓ | 0.1b | (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) |
| ✓ | 0.2b | (*.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x))) |
| ✓ | 1.8b | (-.f64 (cos.f64 0) (cos.f64 x)) |
Compiled 39 to 26 computations (33.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) |
| 2.0ms | x | @ | inf | (*.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x))) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 1 (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 1246× | associate-/l* |
| 1224× | associate-/r* |
| 628× | associate-/l/ |
| 524× | distribute-lft-in |
| 510× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 66 |
| 1 | 321 | 66 |
| 2 | 3793 | 66 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (cos.f64 0) (cos.f64 x)) |
(*.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x))) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) |
(/.f64 1 (sin.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (cos.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (cos.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (sin.f64 (*.f64 (neg.f64 x) 1/2)) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (*.f64 (sin.f64 (*.f64 (neg.f64 x) 1/2)) (sin.f64 (*.f64 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (neg.f64 x) 1/2)) (sin.f64 (*.f64 x 1/2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (sin.f64 (*.f64 (neg.f64 x) 1/2))) (sin.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (cos.f64 x) 1)) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))) (-.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (-.f64 1 (*.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))) (-.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) 1) (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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 1 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 1 (*.f64 (sin.f64 (*.f64 (neg.f64 x) 1/2)) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 1 (*.f64 (*.f64 (sin.f64 (*.f64 (neg.f64 x) 1/2)) (sin.f64 (*.f64 x 1/2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (neg.f64 x) 1/2)) (sin.f64 (*.f64 x 1/2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) 1) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (+.f64 (cos.f64 x) 1) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (sin.f64 (*.f64 (neg.f64 x) 1/2))) (/.f64 1 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (+.f64 (cos.f64 x) 1) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 1 (neg.f64 (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 1 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 1586× | associate-/r* |
| 1402× | associate-*r* |
| 1062× | associate-*l* |
| 844× | *-commutative |
| 738× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 923 | 14181 |
| 1 | 2648 | 13931 |
| 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 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(*.f64 2/3 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 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 1 (cos.f64 x))) |
(*.f64 4/3 (-.f64 1 (cos.f64 x))) |
(*.f64 4/3 (-.f64 1 (cos.f64 x))) |
(*.f64 4/3 (-.f64 1 (cos.f64 x))) |
(*.f64 4/3 (-.f64 1 (cos.f64 x))) |
(*.f64 4/3 (-.f64 1 (cos.f64 x))) |
(*.f64 4/3 (-.f64 1 (cos.f64 x))) |
(*.f64 4/3 (-.f64 1 (cos.f64 x))) |
(/.f64 1 x) |
(+.f64 (*.f64 1/6 x) (/.f64 1 x)) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 1 (neg.f64 (cos.f64 x))) |
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1)) |
(+.f64 1 (*.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))) |
(+.f64 (neg.f64 (cos.f64 x)) 1) |
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) 1) 1) |
(+.f64 (-.f64 1 (+.f64 (cos.f64 x) 1)) 1) |
(*.f64 (-.f64 1 (cos.f64 x)) 1) |
(*.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 (cos.f64 x) 1))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (neg.f64 x) 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 -2 (*.f64 (*.f64 (sin.f64 (*.f64 (neg.f64 x) 1/2)) (sin.f64 (*.f64 x 1/2))) 1)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (neg.f64 x) 1/2)) (sin.f64 (*.f64 x 1/2))) -2) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (neg.f64 x) 1/2))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) 1)) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))) (-.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (-.f64 1 (*.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))) (-.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))) |
(/.f64 (-.f64 1 (cos.f64 x)) 1) |
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) 1) (sin.f64 x))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 1 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 x) 1)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) 1)) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)))))) |
(/.f64 -2 (/.f64 1 (*.f64 (sin.f64 (*.f64 (neg.f64 x) 1/2)) (sin.f64 (*.f64 x 1/2))))) |
(/.f64 -2 (/.f64 1 (*.f64 (*.f64 (sin.f64 (*.f64 (neg.f64 x) 1/2)) (sin.f64 (*.f64 x 1/2))) 1))) |
(/.f64 (*.f64 (sin.f64 (*.f64 (neg.f64 x) 1/2)) (sin.f64 (*.f64 x 1/2))) -1/2) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (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 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) |
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) 1) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (+.f64 (cos.f64 x) 1) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) |
(/.f64 (*.f64 -2 (sin.f64 (*.f64 (neg.f64 x) 1/2))) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (+.f64 (cos.f64 x) 1) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1) (+.f64 (cos.f64 x) 1)) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 (cos.f64 x) 1))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 1 (neg.f64 (+.f64 (cos.f64 x) 1)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 1 (neg.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)))))) |
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 (cos.f64 x) 1)) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (cos.f64 x) 1) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (*.f64 1 (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (+.f64 (cos.f64 x) 1) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 (cos.f64 x) 1) 2)) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) (+.f64 (cos.f64 x) 1)) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 (cos.f64 x) 1))) (sqrt.f64 (+.f64 (cos.f64 x) 1))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (cbrt.f64 (+.f64 (cos.f64 x) 1)))) (cbrt.f64 (+.f64 (cos.f64 x) 1))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)))))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1) 1) (+.f64 (cos.f64 x) 1)) |
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1) (sqrt.f64 (+.f64 (cos.f64 x) 1))) (sqrt.f64 (+.f64 (cos.f64 x) 1))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (cbrt.f64 (+.f64 (cos.f64 x) 1)))) (cbrt.f64 (+.f64 (cos.f64 x) 1))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) 1) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))) |
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(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
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(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x))))) |
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(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1)) |
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(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 3/4) |
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(exp.f64 (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 x)))) 1) |
(*.f64 1 (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 1 (sin.f64 x)) 1) |
(*.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x)))) |
(*.f64 -1 (/.f64 -1 (sin.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 1 (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 -1 (sin.f64 x)) -1) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1)) |
(pow.f64 (sin.f64 x) -1) |
(pow.f64 (/.f64 1 (sin.f64 x)) 1) |
(pow.f64 (pow.f64 (sin.f64 x) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)) 1/3) |
(sqrt.f64 (pow.f64 (sin.f64 x) -2)) |
(log.f64 (exp.f64 (/.f64 1 (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 x))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x)))) |
(exp.f64 (neg.f64 (log.f64 (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x)))) |
| Outputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(*.f64 2/3 x) |
(*.f64 x 2/3) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))) |
(*.f64 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 2/3 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 2/3) |
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2))) |
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 (*.f64 x x) 2/3)) |
(+.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 (pow.f64 x 6) 1/540))) |
(+.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 (pow.f64 x 6) 1/540)))) |
(*.f64 4/3 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 4/3) |
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) |
(*.f64 4/3 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 4/3) |
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) |
(*.f64 4/3 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 4/3) |
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) |
(*.f64 4/3 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 4/3) |
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) |
(*.f64 4/3 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 4/3) |
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) |
(*.f64 4/3 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 4/3) |
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) |
(*.f64 4/3 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 4/3) |
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) |
(*.f64 4/3 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 4/3) |
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) |
(/.f64 1 x) |
(+.f64 (*.f64 1/6 x) (/.f64 1 x)) |
(fma.f64 1/6 x (/.f64 1 x)) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))) |
(fma.f64 1/6 x (fma.f64 7/360 (pow.f64 x 3) (/.f64 1 x))) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))) |
(fma.f64 1/6 x (fma.f64 31/15120 (pow.f64 x 5) (fma.f64 7/360 (pow.f64 x 3) (/.f64 1 x)))) |
(+.f64 1 (neg.f64 (cos.f64 x))) |
(-.f64 1 (cos.f64 x)) |
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1)) |
(-.f64 1 (cos.f64 x)) |
(+.f64 1 (*.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))) |
(-.f64 1 (cos.f64 x)) |
(+.f64 (neg.f64 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) 1) 1) |
(-.f64 1 (cos.f64 x)) |
(+.f64 (-.f64 1 (+.f64 (cos.f64 x) 1)) 1) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (-.f64 1 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(*.f64 1 (-.f64 1 (cos.f64 x))) |
(-.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1)) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 (cos.f64 x) 1))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) |
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (neg.f64 x) 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 (*.f64 1/2 (neg.f64 x))) (*.f64 (sin.f64 (*.f64 1/2 x)) -2)) |
(*.f64 (sin.f64 (*.f64 -1/2 x)) (*.f64 -2 (sin.f64 (*.f64 1/2 x)))) |
(*.f64 -2 (*.f64 (*.f64 (sin.f64 (*.f64 (neg.f64 x) 1/2)) (sin.f64 (*.f64 x 1/2))) 1)) |
(*.f64 (sin.f64 (*.f64 1/2 (neg.f64 x))) (*.f64 (sin.f64 (*.f64 1/2 x)) -2)) |
(*.f64 (sin.f64 (*.f64 -1/2 x)) (*.f64 -2 (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (neg.f64 x) 1/2)) (sin.f64 (*.f64 x 1/2))) -2) |
(*.f64 (sin.f64 (*.f64 1/2 (neg.f64 x))) (*.f64 (sin.f64 (*.f64 1/2 x)) -2)) |
(*.f64 (sin.f64 (*.f64 -1/2 x)) (*.f64 -2 (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (neg.f64 x) 1/2))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 (*.f64 1/2 (neg.f64 x))) (*.f64 (sin.f64 (*.f64 1/2 x)) -2)) |
(*.f64 (sin.f64 (*.f64 -1/2 x)) (*.f64 -2 (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) 1)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))) (-.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 3))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (-.f64 1 (*.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))) (-.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 3))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) 1) (sin.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(-.f64 1 (cos.f64 x)) |
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))) |
(-.f64 1 (cos.f64 x)) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) (+.f64 1 (cos.f64 x)))) |
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(-.f64 1 (cos.f64 x)) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(-.f64 1 (cos.f64 x)) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 1 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1))) |
(-.f64 1 (cos.f64 x)) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x)))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 x) 1)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) 1)) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) |
(/.f64 -2 (/.f64 1 (*.f64 (sin.f64 (*.f64 (neg.f64 x) 1/2)) (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (sin.f64 (*.f64 1/2 (neg.f64 x))) (*.f64 (sin.f64 (*.f64 1/2 x)) -2)) |
(*.f64 (sin.f64 (*.f64 -1/2 x)) (*.f64 -2 (sin.f64 (*.f64 1/2 x)))) |
(/.f64 -2 (/.f64 1 (*.f64 (*.f64 (sin.f64 (*.f64 (neg.f64 x) 1/2)) (sin.f64 (*.f64 x 1/2))) 1))) |
(*.f64 (sin.f64 (*.f64 1/2 (neg.f64 x))) (*.f64 (sin.f64 (*.f64 1/2 x)) -2)) |
(*.f64 (sin.f64 (*.f64 -1/2 x)) (*.f64 -2 (sin.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 (neg.f64 x) 1/2)) (sin.f64 (*.f64 x 1/2))) -1/2) |
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(*.f64 (-.f64 1 (cos.f64 x)) 4/3) |
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(*.f64 (-.f64 1 (cos.f64 x)) 4/3) |
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(/.f64 (*.f64 4/3 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 4/3) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))) |
(*.f64 (+.f64 1 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 3)) 4/3))) |
(*.f64 (+.f64 1 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 3))) 4/3)) |
(pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 1) |
(*.f64 (-.f64 1 (cos.f64 x)) 4/3) |
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) |
(pow.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2) |
(*.f64 (-.f64 1 (cos.f64 x)) 4/3) |
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) |
(pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 3) |
(*.f64 (-.f64 1 (cos.f64 x)) 4/3) |
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) |
(pow.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3) 1/3) |
(*.f64 (-.f64 1 (cos.f64 x)) 4/3) |
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) |
(pow.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) -1) |
(*.f64 (-.f64 1 (cos.f64 x)) 4/3) |
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) -3/4)) |
(*.f64 (-.f64 1 (cos.f64 x)) 4/3) |
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) |
(sqrt.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 2)) |
(log.f64 (exp.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))) |
(*.f64 (-.f64 1 (cos.f64 x)) 4/3) |
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))) |
(*.f64 (-.f64 1 (cos.f64 x)) 4/3) |
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) |
(cbrt.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3)) |
(*.f64 (-.f64 1 (cos.f64 x)) 4/3) |
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) |
(expm1.f64 (log.f64 (-.f64 7/3 (*.f64 (cos.f64 x) 4/3)))) |
(+.f64 (+.f64 7/3 (*.f64 (cos.f64 x) -4/3)) -1) |
(+.f64 -1 (+.f64 (*.f64 (cos.f64 x) -4/3) 7/3)) |
(exp.f64 (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))) |
(*.f64 (-.f64 1 (cos.f64 x)) 4/3) |
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) |
(exp.f64 (*.f64 (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 1)) |
(*.f64 (-.f64 1 (cos.f64 x)) 4/3) |
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) |
(log1p.f64 (expm1.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))) |
(*.f64 (-.f64 1 (cos.f64 x)) 4/3) |
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 x)))) 1) |
(/.f64 1 (sin.f64 x)) |
(*.f64 1 (/.f64 1 (sin.f64 x))) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (/.f64 1 (sin.f64 x)) 1) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2)) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) |
(*.f64 -1 (/.f64 -1 (sin.f64 x))) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 1 (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) |
(/.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 -1 (sin.f64 x)) -1) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1)) |
(pow.f64 (sqrt.f64 (sin.f64 x)) -2) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) |
(/.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) |
(pow.f64 (sin.f64 x) -1) |
(/.f64 1 (sin.f64 x)) |
(pow.f64 (/.f64 1 (sin.f64 x)) 1) |
(/.f64 1 (sin.f64 x)) |
(pow.f64 (pow.f64 (sin.f64 x) -1/2) 2) |
(/.f64 1 (sin.f64 x)) |
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3) |
(/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 3)) |
(pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)) 1/3) |
(cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3))) |
(sqrt.f64 (pow.f64 (sin.f64 x) -2)) |
(log.f64 (exp.f64 (/.f64 1 (sin.f64 x)))) |
(/.f64 1 (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 x))))) |
(/.f64 1 (sin.f64 x)) |
(cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x)))) |
(/.f64 1 (sin.f64 x)) |
(exp.f64 (neg.f64 (log.f64 (sin.f64 x)))) |
(/.f64 1 (sin.f64 x)) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) -1)) |
(/.f64 1 (sin.f64 x)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) 1)) |
(/.f64 1 (sin.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x)))) |
(/.f64 1 (sin.f64 x)) |
Compiled 34563 to 23593 computations (31.7% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1580 | 9 | 1589 |
| Fresh | 5 | 7 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 2 | 4 |
| Total | 1588 | 18 | 1606 |
| Status | Error | Program |
|---|---|---|
| ▶ | 13.7b | (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x))) |
| 13.6b | (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8) | |
| 31.6b | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 3/4) | |
| 0.6b | (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) | |
| ▶ | 31.6b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
| ✓ | 31.8b | (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x)) |
| 31.6b | (/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (+.f64 -1 (cos.f64 x))) -3/4) | |
| 27.3b | (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) | |
| 31.6b | (/.f64 4/3 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) | |
| 14.1b | (/.f64 -2 (*.f64 (sin.f64 x) (/.f64 3/4 (*.f64 (sin.f64 (*.f64 (neg.f64 x) 1/2)) (sin.f64 (*.f64 x 1/2)))))) | |
| ▶ | 60.4b | (-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
| 30.6b | (+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) | |
| 30.5b | (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) | |
| 31.9b | (*.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 (cos.f64 x) 1)) 1) 3/4) (/.f64 1 (sin.f64 x))) | |
| ▶ | 31.6b | (*.f64 (/.f64 1 (*.f64 (sin.f64 x) 3/8)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
| 31.7b | (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (/.f64 1 (sin.f64 x))) | |
| ▶ | 0.4b | (*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
| ✓ | 30.1b | (*.f64 x 2/3) |
Compiled 396 to 329 computations (16.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (tan.f64 (/.f64 x 2)) |
| ✓ | 0.4b | (*.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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 x 2/3) | |
| ✓ | 3.7b | (-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
Compiled 19 to 15 computations (21.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
| 1× | batch-egg-rewrite |
| 1642× | add-sqr-sqrt |
| 1618× | *-un-lft-identity |
| 1524× | add-cube-cbrt |
| 1514× | add-cbrt-cube |
| 172× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 179 | 7 |
| 2 | 2314 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x 2/3 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 2/3 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x 2/3 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 2/3)) (*.f64 (sqrt.f64 (*.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (*.f64 (cbrt.f64 (*.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (/.f64 1 (+.f64 (*.f64 x 2/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 x 2/3) 2) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (+.f64 (*.f64 x 2/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (-.f64 (fma.f64 x 2/3 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (-.f64 1 (*.f64 (fma.f64 x 2/3 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 8/27) 0) (+.f64 (*.f64 (*.f64 x x) 4/9) (-.f64 0 (*.f64 (*.f64 x 2/3) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x 2/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 8/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 8/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2/3 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 2/3 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (sqrt.f64 (fma.f64 x 2/3 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (cbrt.f64 (fma.f64 x 2/3 1)) -1))))) |
| 1× | egg-herbie |
| 1296× | associate--l+ |
| 1188× | times-frac |
| 888× | distribute-lft-neg-in |
| 714× | associate-+r- |
| 556× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 118 | 911 |
| 1 | 266 | 851 |
| 2 | 891 | 851 |
| 3 | 4867 | 851 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(+.f64 (*.f64 x 2/3) 0) |
(+.f64 1 (fma.f64 x 2/3 -1)) |
(+.f64 (fma.f64 x 2/3 1) -1) |
(+.f64 0 (*.f64 x 2/3)) |
(+.f64 -1 (fma.f64 x 2/3 1)) |
(*.f64 x 2/3) |
(*.f64 2/3 x) |
(*.f64 (*.f64 x 2/3) 1) |
(*.f64 1 (*.f64 x 2/3)) |
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3))) |
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (*.f64 (sqrt.f64 (*.f64 x 2/3)) 1)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3)) |
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (*.f64 (cbrt.f64 (*.f64 x 2/3)) 1)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3)) |
(*.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (/.f64 1 (+.f64 (*.f64 x 2/3) 2))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)))) |
(*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1)) |
(/.f64 1 (/.f64 (+.f64 (*.f64 x 2/3) 2) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (+.f64 (*.f64 x 2/3) 2)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (-.f64 (fma.f64 x 2/3 1) -1)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (-.f64 1 (*.f64 (fma.f64 x 2/3 1) -1)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 8/27) 0) (+.f64 (*.f64 (*.f64 x x) 4/9) (-.f64 0 (*.f64 (*.f64 x 2/3) 0)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x 2/3) 2))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)))) |
(pow.f64 (*.f64 x 2/3) 1) |
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) |
(pow.f64 (*.f64 (pow.f64 x 3) 8/27) 1/3) |
(sqrt.f64 (*.f64 (*.f64 x x) 4/9)) |
(log.f64 (exp.f64 (*.f64 x 2/3))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3)))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) 8/27)) |
(expm1.f64 (log1p.f64 (*.f64 x 2/3))) |
(exp.f64 (log.f64 (*.f64 x 2/3))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x 2/3))) |
(fma.f64 x 2/3 0) |
(fma.f64 2/3 x 0) |
(fma.f64 1 (*.f64 x 2/3) 0) |
(fma.f64 1 (fma.f64 x 2/3 1) -1) |
(fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) 0) |
(fma.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (sqrt.f64 (fma.f64 x 2/3 1)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) 0) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (cbrt.f64 (fma.f64 x 2/3 1)) -1) |
| Outputs |
|---|
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(+.f64 (*.f64 x 2/3) 0) |
(*.f64 2/3 x) |
(+.f64 1 (fma.f64 x 2/3 -1)) |
(*.f64 2/3 x) |
(+.f64 (fma.f64 x 2/3 1) -1) |
(*.f64 2/3 x) |
(+.f64 0 (*.f64 x 2/3)) |
(*.f64 2/3 x) |
(+.f64 -1 (fma.f64 x 2/3 1)) |
(*.f64 2/3 x) |
(*.f64 x 2/3) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 (*.f64 x 2/3) 1) |
(*.f64 2/3 x) |
(*.f64 1 (*.f64 x 2/3)) |
(*.f64 2/3 x) |
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (*.f64 (sqrt.f64 (*.f64 x 2/3)) 1)) |
(*.f64 2/3 x) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3)) |
(*.f64 2/3 x) |
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) |
(*.f64 2/3 x) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (*.f64 (cbrt.f64 (*.f64 x 2/3)) 1)) |
(*.f64 2/3 x) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3)) |
(*.f64 2/3 x) |
(*.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (/.f64 1 (+.f64 (*.f64 x 2/3) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (/.f64 1 (fma.f64 x 2/3 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2)) |
(/.f64 (*.f64 (*.f64 2/3 x) (fma.f64 2/3 x 2)) (fma.f64 2/3 x 2)) |
(*.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 2/3 x 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 2 (fma.f64 2/3 x (pow.f64 (fma.f64 2/3 x 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 2)))) |
(*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 2/3 x) |
(*.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 2/3 x) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1)) |
(*.f64 2/3 x) |
(/.f64 1 (/.f64 (+.f64 (*.f64 x 2/3) 2) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (/.f64 1 (fma.f64 x 2/3 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2)) |
(/.f64 (*.f64 (*.f64 2/3 x) (fma.f64 2/3 x 2)) (fma.f64 2/3 x 2)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 2/3 x 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 2 (fma.f64 2/3 x (pow.f64 (fma.f64 2/3 x 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 2)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (+.f64 (*.f64 x 2/3) 2)) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (/.f64 1 (fma.f64 x 2/3 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2)) |
(/.f64 (*.f64 (*.f64 2/3 x) (fma.f64 2/3 x 2)) (fma.f64 2/3 x 2)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (-.f64 (fma.f64 x 2/3 1) -1)) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (/.f64 1 (fma.f64 x 2/3 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2)) |
(/.f64 (*.f64 (*.f64 2/3 x) (fma.f64 2/3 x 2)) (fma.f64 2/3 x 2)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 2/3 x 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 2 (fma.f64 2/3 x (pow.f64 (fma.f64 2/3 x 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 2)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (-.f64 1 (*.f64 (fma.f64 x 2/3 1) -1)))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 2/3 x 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 2 (fma.f64 2/3 x (pow.f64 (fma.f64 2/3 x 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 2)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
(*.f64 2/3 x) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 8/27) 0) (+.f64 (*.f64 (*.f64 x x) 4/9) (-.f64 0 (*.f64 (*.f64 x 2/3) 0)))) |
(*.f64 2/3 x) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x 2/3) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (/.f64 1 (fma.f64 x 2/3 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2)) |
(/.f64 (*.f64 (*.f64 2/3 x) (fma.f64 2/3 x 2)) (fma.f64 2/3 x 2)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 2/3 x 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 2 (fma.f64 2/3 x (pow.f64 (fma.f64 2/3 x 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 2)))) |
(pow.f64 (*.f64 x 2/3) 1) |
(*.f64 2/3 x) |
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2) |
(*.f64 2/3 x) |
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) |
(*.f64 2/3 x) |
(pow.f64 (*.f64 (pow.f64 x 3) 8/27) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 x 3) 8/27)) |
(sqrt.f64 (*.f64 (*.f64 x x) 4/9)) |
(sqrt.f64 (*.f64 x (*.f64 x 4/9))) |
(log.f64 (exp.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3)))) |
(*.f64 2/3 x) |
(cbrt.f64 (*.f64 (pow.f64 x 3) 8/27)) |
(expm1.f64 (log1p.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(exp.f64 (log.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1)) |
(*.f64 2/3 x) |
(log1p.f64 (expm1.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(fma.f64 x 2/3 0) |
(*.f64 2/3 x) |
(fma.f64 2/3 x 0) |
(*.f64 2/3 x) |
(fma.f64 1 (*.f64 x 2/3) 0) |
(*.f64 2/3 x) |
(fma.f64 1 (fma.f64 x 2/3 1) -1) |
(*.f64 2/3 x) |
(fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) 0) |
(*.f64 2/3 x) |
(fma.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (sqrt.f64 (fma.f64 x 2/3 1)) -1) |
(*.f64 2/3 x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) 0) |
(*.f64 2/3 x) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (cbrt.f64 (fma.f64 x 2/3 1)) -1) |
(*.f64 2/3 x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (sin.f64 x) 3/4) |
| ✓ | 0.2b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
| ✓ | 1.8b | (-.f64 1 (cos.f64 x)) |
Compiled 25 to 14 computations (44% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
| 0.0ms | x | @ | inf | (*.f64 (sin.f64 x) 3/4) |
| 0.0ms | x | @ | -inf | (*.f64 (sin.f64 x) 3/4) |
| 0.0ms | x | @ | 0 | (*.f64 (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))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(/.f64 1 (/.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 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (tan.f64 (/.f64 x 2)))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 x)))) |
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(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 3/4)) |
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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 (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 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (sin.f64 x) 3/8) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (*.f64 (sin.f64 x) 3/8)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
| ✓ | 0.2b | (/.f64 1 (*.f64 (sin.f64 x) 3/8)) |
| 1.8b | (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
Compiled 43 to 28 computations (34.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 1 (*.f64 (sin.f64 x) 3/8)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (*.f64 (sin.f64 x) 3/8)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (*.f64 (sin.f64 x) 3/8)) |
| 0.0ms | x | @ | inf | (*.f64 (sin.f64 x) 3/8) |
| 0.0ms | x | @ | -inf | (*.f64 (sin.f64 x) 3/8) |
| 1× | batch-egg-rewrite |
| 1108× | associate-/r* |
| 678× | distribute-rgt-in |
| 638× | distribute-lft-in |
| 618× | associate-/l* |
| 314× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 61 |
| 1 | 316 | 51 |
| 2 | 3908 | 51 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (*.f64 (sin.f64 x) 3/8)) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 3/8)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (sin.f64 x) 3/8) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -8/3 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) -1) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) -1) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) 3/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8/3 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) 3/8) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) 3/8) (cos.f64 x))) (/.f64 4/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (*.f64 (sin.f64 x) 3/8) (-.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 1 (/.f64 (*.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/4 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 1/4 (cos.f64 x))))) (+.f64 1/8 (pow.f64 (*.f64 -1/2 (cos.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (fma.f64 -1/2 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((x pow.f64 (*.f64 (sin.f64 x) 3/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8))))))) |
| 1× | egg-herbie |
| 1064× | associate-/r* |
| 1036× | associate-/l* |
| 996× | associate-/l/ |
| 904× | associate-*r* |
| 888× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 666 | 13973 |
| 1 | 1714 | 13021 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 8/3 x) |
(+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) |
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x)))) |
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 31/5670 (pow.f64 x 5)) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x))))) |
(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
(*.f64 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 3/8 x) |
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x)) |
(+.f64 (*.f64 1/320 (pow.f64 x 5)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x))) |
(+.f64 (*.f64 1/320 (pow.f64 x 5)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 -1/13440 (pow.f64 x 7)) (*.f64 3/8 x)))) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 3/8 (sin.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x)))) 1) |
(*.f64 1 (/.f64 8/3 (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) 1) |
(*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) 8/3) |
(*.f64 -1 (/.f64 -8/3 (sin.f64 x))) |
(*.f64 8/3 (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) |
(*.f64 (/.f64 -8/3 (sin.f64 x)) -1) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) -1) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) -1) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) -1)) |
(pow.f64 (*.f64 (sin.f64 x) 3/8) -1) |
(pow.f64 (/.f64 8/3 (sin.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) 1/3) |
(sqrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) |
(log.f64 (exp.f64 (/.f64 8/3 (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 8/3 (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) -1)) |
(exp.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x)))) |
(+.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) 3/8) (cos.f64 x)))) |
(+.f64 (/.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) 3/8) (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8)))) 1) |
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 (sin.f64 x) 3/8) (-.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2))))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/4 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 1/4 (cos.f64 x))))) (+.f64 1/8 (pow.f64 (*.f64 -1/2 (cos.f64 x)) 3)))) |
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8)) |
(/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8)) 1) |
(/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 3/8 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sin.f64 x)))) |
(/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 (*.f64 (sin.f64 x) 3/8) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 2)))) |
(/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 (/.f64 3/8 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sin.f64 x))) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))) |
(/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8))) |
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 3/8 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (*.f64 3/8 (-.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2))))) |
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(/.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))))) (cbrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))))) |
(/.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) (cbrt.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))))) (cbrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))))) |
(/.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) (cbrt.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) |
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3) |
(neg.f64 (*.f64 (sin.f64 x) -3/8)) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8))) |
| Outputs |
|---|
(/.f64 8/3 x) |
(+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) |
(fma.f64 4/9 x (/.f64 8/3 x)) |
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x)))) |
(fma.f64 4/9 x (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x))) |
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 31/5670 (pow.f64 x 5)) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x))))) |
(fma.f64 4/9 x (fma.f64 31/5670 (pow.f64 x 5) (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x)))) |
(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
(/.f64 8/3 (sin.f64 x)) |
(*.f64 2/3 x) |
(*.f64 x 2/3) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))) |
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180)))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8)) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8)) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8)) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8)) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8)) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8)) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8)) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8)) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(*.f64 3/8 x) |
(*.f64 x 3/8) |
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x)) |
(fma.f64 -1/16 (pow.f64 x 3) (*.f64 x 3/8)) |
(+.f64 (*.f64 1/320 (pow.f64 x 5)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x))) |
(fma.f64 1/320 (pow.f64 x 5) (fma.f64 -1/16 (pow.f64 x 3) (*.f64 x 3/8))) |
(+.f64 (*.f64 1/320 (pow.f64 x 5)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 -1/13440 (pow.f64 x 7)) (*.f64 3/8 x)))) |
(fma.f64 1/320 (pow.f64 x 5) (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 -1/13440 (pow.f64 x 7) (*.f64 x 3/8)))) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 (sin.f64 x) 3/8) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 (sin.f64 x) 3/8) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 (sin.f64 x) 3/8) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 (sin.f64 x) 3/8) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 (sin.f64 x) 3/8) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 (sin.f64 x) 3/8) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 (sin.f64 x) 3/8) |
(*.f64 3/8 (sin.f64 x)) |
(*.f64 (sin.f64 x) 3/8) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x)))) 1) |
(/.f64 8/3 (sin.f64 x)) |
(*.f64 1 (/.f64 8/3 (sin.f64 x))) |
(/.f64 8/3 (sin.f64 x)) |
(*.f64 (/.f64 8/3 (sin.f64 x)) 1) |
(/.f64 8/3 (sin.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) |
(/.f64 8/3 (sin.f64 x)) |
(*.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (/.f64 1 (sin.f64 x)) 8/3) |
(/.f64 8/3 (sin.f64 x)) |
(*.f64 -1 (/.f64 -8/3 (sin.f64 x))) |
(/.f64 8/3 (sin.f64 x)) |
(*.f64 8/3 (/.f64 1 (sin.f64 x))) |
(/.f64 8/3 (sin.f64 x)) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)))) |
(/.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) |
(*.f64 (/.f64 -8/3 (sin.f64 x)) -1) |
(/.f64 8/3 (sin.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) -1) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) -1)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) -2) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) -1) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(/.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(pow.f64 (*.f64 (sin.f64 x) 3/8) -1) |
(/.f64 8/3 (sin.f64 x)) |
(pow.f64 (/.f64 8/3 (sin.f64 x)) 1) |
(/.f64 8/3 (sin.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) 2) |
(/.f64 8/3 (sin.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3) |
(/.f64 8/3 (sin.f64 x)) |
(pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) 1/3) |
(/.f64 8/3 (sin.f64 x)) |
(sqrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) |
(log.f64 (exp.f64 (/.f64 8/3 (sin.f64 x)))) |
(/.f64 8/3 (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (sin.f64 x))))) |
(/.f64 8/3 (sin.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)) |
(/.f64 8/3 (sin.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x)))) |
(/.f64 8/3 (sin.f64 x)) |
(exp.f64 (log.f64 (/.f64 8/3 (sin.f64 x)))) |
(/.f64 8/3 (sin.f64 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) -1)) |
(/.f64 8/3 (sin.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1)) |
(/.f64 8/3 (sin.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x)))) |
(/.f64 8/3 (sin.f64 x)) |
(+.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) 3/8) (cos.f64 x)))) |
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 -1/2 (*.f64 (sin.f64 x) 3/8)) (cos.f64 x))) |
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (cos.f64 x) (/.f64 -4/3 (sin.f64 x)))) |
(+.f64 (/.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) 3/8) (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) |
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 -1/2 (*.f64 (sin.f64 x) 3/8)) (cos.f64 x))) |
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (cos.f64 x) (/.f64 -4/3 (sin.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8)))) 1) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8)) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8)) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 (sin.f64 x) 3/8) (-.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 (sin.f64 x) (*.f64 3/8 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 1/4 -1/4) (*.f64 (sin.f64 x) (*.f64 3/8 (fma.f64 -1/2 (cos.f64 x) -1/2)))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/4 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 1/4 (cos.f64 x))))) (+.f64 1/8 (pow.f64 (*.f64 -1/2 (cos.f64 x)) 3)))) |
(*.f64 (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/4 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (cos.f64 x) 1/4))))) (+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 (/.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 x) 3))) (sin.f64 x)) (+.f64 3/32 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (cos.f64 x) 3/32)))) |
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8)) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8)) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8)) 1) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8)) |
(*.f64 8/3 (/.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 3/8 (/.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)) 3/8) (/.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)) (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8)) |
(/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 (*.f64 (sin.f64 x) 3/8) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 2)))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 2)) (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (*.f64 (sin.f64 x) 3/8))) |
(/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 (/.f64 3/8 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sin.f64 x))) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))) |
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 3/8 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 (*.f64 (sin.f64 x) 3/8) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))) |
(/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 3/8) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))) |
(*.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 (sin.f64 x) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))) 3/8)) |
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 2)) (sin.f64 x)) (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8)) |
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 2)) (sin.f64 x))) |
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 3/8 (fma.f64 -1/2 (cos.f64 x) 1/2))) |
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8)) |
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) |
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (*.f64 3/8 (-.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 (sin.f64 x) (*.f64 3/8 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 1/4 -1/4) (*.f64 (sin.f64 x) (*.f64 3/8 (fma.f64 -1/2 (cos.f64 x) -1/2)))) |
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (+.f64 3/32 (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 1/4 (cos.f64 x))) 3/8)) (+.f64 1/8 (pow.f64 (*.f64 -1/2 (cos.f64 x)) 3)))) |
(*.f64 (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/4 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (cos.f64 x) 1/4))))) (+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 x) 3)))) |
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(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) -3/8)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) -3/8)) -1)) |
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)))) (/.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (/.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (/.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) -3/8)) (cbrt.f64 (*.f64 (sin.f64 x) -3/8))) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) |
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) -3/8)) (/.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) -3/8)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) -3/8)) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (*.f64 (sin.f64 x) -3/8))) |
(/.f64 (*.f64 3/8 (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 8/3 (sqrt.f64 (sin.f64 x)))) |
(*.f64 3/8 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 3/8 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 3/8 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 (neg.f64 (sin.f64 x)) -8/3) |
(*.f64 (sin.f64 x) 3/8) |
(/.f64 -3/8 (/.f64 -1 (sin.f64 x))) |
(*.f64 (sin.f64 x) 3/8) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 -1 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) -1) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2) |
(/.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (/.f64 -1 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 1) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(/.f64 (/.f64 (sin.f64 x) 1) 8/3) |
(*.f64 (sin.f64 x) 3/8) |
(/.f64 (/.f64 1 (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) |
(*.f64 (sin.f64 x) 3/8) |
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)))) |
(/.f64 1 (*.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))))) |
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) |
(/.f64 1 (*.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))))) |
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)))) |
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) -1)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) -1)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) -1) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) -1)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) -1)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 1) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) |
(/.f64 (/.f64 3/8 (sqrt.f64 (/.f64 1 (sin.f64 x)))) (sqrt.f64 (/.f64 1 (sin.f64 x)))) |
(/.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) |
(/.f64 (/.f64 3/8 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (/.f64 1 (sin.f64 x))))) (cbrt.f64 (/.f64 1 (sin.f64 x)))) |
(/.f64 3/8 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (/.f64 1 (sin.f64 x)))))) |
(/.f64 (/.f64 3/8 (cbrt.f64 (/.f64 1 (sin.f64 x)))) (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (/.f64 1 (sin.f64 x))))) |
(/.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 1) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) |
(/.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (*.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x)))))) |
(/.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (sqrt.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))))) (sqrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)))) (sqrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))))) |
(/.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (sqrt.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) (sqrt.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x)))))) |
(/.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) 1) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) |
(/.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) (sqrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))))) (sqrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))))) |
(/.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))))) (cbrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))))) |
(/.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) (cbrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))))) (cbrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))))) (cbrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))))) |
(/.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) (cbrt.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))))) (cbrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)))))) |
(/.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) (cbrt.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x)))))) |
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1) |
(*.f64 (sin.f64 x) 3/8) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) -1) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3) |
(*.f64 (sin.f64 x) 3/8) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3) |
(*.f64 (sin.f64 x) 3/8) |
(neg.f64 (*.f64 (sin.f64 x) -3/8)) |
(*.f64 (sin.f64 x) 3/8) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8)) |
(*.f64 3/8 (log.f64 (exp.f64 (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))) |
(*.f64 (sin.f64 x) 3/8) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)) |
(*.f64 (sin.f64 x) 3/8) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) |
(*.f64 (sin.f64 x) 3/8) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8))) |
(*.f64 (sin.f64 x) 3/8) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) 1)) |
(*.f64 (sin.f64 x) 3/8) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8))) |
(*.f64 (sin.f64 x) 3/8) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 3/8 (sin.f64 x)) |
| ✓ | 0.3b | (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
| ✓ | 13.6b | (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x))) |
Compiled 35 to 25 computations (28.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x))) |
| 0.0ms | x | @ | 0 | (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
| 0.0ms | x | @ | 0 | (*.f64 3/8 (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 1138× | associate-/r* |
| 1090× | *-commutative |
| 890× | associate-/l* |
| 852× | associate-*r/ |
| 618× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 61 |
| 1 | 269 | 61 |
| 2 | 3216 | 61 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x))) |
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2) |
(*.f64 3/8 (sin.f64 x)) |
| 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 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (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 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 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 3/8 (sin.f64 x)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 3/8 (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 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (*.f64 3/8 (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))) (/.f64 8/3 (sin.f64 x)))) 2) (cbrt.f64 (*.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 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) (/.f64 1 (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 -1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 -8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 8/3 (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 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 (sin.f64 x)) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 3/8 (sin.f64 x)))) (/.f64 (+.f64 1/2 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(2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 3/8 (sin.f64 x))) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 3/8 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 3/8 (sin.f64 x)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 3/8 (sin.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3/8 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/8 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3/8 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/8 (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3/8 (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3/8 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3/8 (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/8 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3/8 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/8 (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 1372× | associate-/l/ |
| 952× | unswap-sqr |
| 906× | associate-/r/ |
| 734× | distribute-lft-neg-out |
| 672× | distribute-rgt-neg-out |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 293 | 4267 |
| 1 | 729 | 4047 |
| 2 | 3222 | 4047 |
| 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 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 3/8 x) |
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x)) |
(+.f64 (*.f64 1/320 (pow.f64 x 5)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x))) |
(+.f64 (*.f64 1/320 (pow.f64 x 5)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 -1/13440 (pow.f64 x 7)) (*.f64 3/8 x)))) |
(-.f64 (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 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 1) |
(*.f64 1 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 3/8 (sin.f64 x)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 3/8 (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 8/3 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (*.f64 3/8 (sin.f64 x))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 2) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) |
(*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 -8/3 (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) 1)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 8/3 (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 1)) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 3/8 (sin.f64 x)))) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (*.f64 3/8 (sin.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 3/8 (sin.f64 x))) 2)) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (*.f64 3/8 (sin.f64 x))))) |
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 8/3) |
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (*.f64 3/8 (sin.f64 x)))) (/.f64 1 (sqrt.f64 (*.f64 3/8 (sin.f64 x))))) |
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (*.f64 3/8 (sin.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 3/8 (sin.f64 x))) 2))) |
(*.f64 (/.f64 -8/3 (sin.f64 x)) (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) |
(*.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 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 3/8 (sin.f64 x))) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 3/8 (sin.f64 x))))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 3/8 (sin.f64 x)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 3/8 (sin.f64 x))) 2))) |
(*.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 (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 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3/8)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3/8) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (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) (/.f64 8/3 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sqrt.f64 (*.f64 3/8 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (*.f64 3/8 (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (*.f64 3/8 (sin.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sqrt.f64 (*.f64 3/8 (sin.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (*.f64 3/8 (sin.f64 x))) 2)) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 3/8 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 3/8))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) |
(pow.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 1) |
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 3/8 (sin.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 3) 1/3) |
(pow.f64 (*.f64 3/8 (/.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))) (*.f64 (sin.f64 x) -3/8))) |
(neg.f64 (/.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) (*.f64 3/8 (sin.f64 x)))) |
(neg.f64 (*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) -3/8)) 1)) |
(neg.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 -8/3 (sin.f64 x)))) |
(neg.f64 (*.f64 1 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) -3/8)))) |
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) |
(log.f64 (pow.f64 (exp.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)) |
(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))))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) |
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
(-.f64 1/2 (*.f64 1/2 (cos.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1) |
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1) |
(*.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (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 (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)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))) |
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (sqrt.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (sqrt.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))))) (neg.f64 (cbrt.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) |
(*.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 (*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) |
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 (*.f64 x 1/2)))) |
(*.f64 -1 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) |
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))))) (sqrt.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))))) |
(*.f64 (neg.f64 (*.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 (neg.f64 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 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 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (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 (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 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 x x)) (cos.f64 x)) 2) |
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x))) 2) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 1) 2) |
(neg.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) |
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) |
(log.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
(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 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))))) |
(log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/8 (sin.f64 x)))) 1) |
(pow.f64 (*.f64 3/8 (sin.f64 x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 3/8 (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 3/8 (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (*.f64 3/8 (sin.f64 x)) 3) 1/3) |
(neg.f64 (*.f64 (sin.f64 x) -3/8)) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/8 (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (*.f64 3/8 (sin.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 3/8 (sin.f64 x)))) |
(exp.f64 (log.f64 (*.f64 3/8 (sin.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 3/8 (sin.f64 x)))) |
| Outputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) |
(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 8/3 (/.f64 (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 8/3 (/.f64 (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 8/3 (/.f64 (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 8/3 (/.f64 (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 8/3 (/.f64 (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 8/3 (/.f64 (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 8/3 (/.f64 (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 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4))) |
(fma.f64 1/4 (*.f64 x x) (*.f64 -1/48 (pow.f64 x 4))) |
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))) |
(fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 -1/48 (pow.f64 x 4)))) |
(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 3/8 x) |
(*.f64 x 3/8) |
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x)) |
(fma.f64 -1/16 (pow.f64 x 3) (*.f64 x 3/8)) |
(fma.f64 x 3/8 (*.f64 (pow.f64 x 3) -1/16)) |
(+.f64 (*.f64 1/320 (pow.f64 x 5)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x))) |
(fma.f64 1/320 (pow.f64 x 5) (fma.f64 -1/16 (pow.f64 x 3) (*.f64 x 3/8))) |
(fma.f64 (pow.f64 x 5) 1/320 (fma.f64 x 3/8 (*.f64 (pow.f64 x 3) -1/16))) |
(+.f64 (*.f64 1/320 (pow.f64 x 5)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 -1/13440 (pow.f64 x 7)) (*.f64 3/8 x)))) |
(fma.f64 1/320 (pow.f64 x 5) (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 -1/13440 (pow.f64 x 7) (*.f64 x 3/8)))) |
(fma.f64 (pow.f64 x 5) 1/320 (fma.f64 (pow.f64 x 3) -1/16 (fma.f64 x 3/8 (*.f64 (pow.f64 x 7) -1/13440)))) |
(fma.f64 (pow.f64 x 5) 1/320 (fma.f64 (pow.f64 x 3) -1/16 (fma.f64 (pow.f64 x 7) -1/13440 (*.f64 x 3/8)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 1) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (cos.f64 x) -1/2) (/.f64 -8/3 (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (cos.f64 x) -1/2) (/.f64 -8/3 (sin.f64 x))) |
(*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 1) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (cos.f64 x) -1/2) (/.f64 -8/3 (sin.f64 x))) |
(*.f64 1 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (cos.f64 x) -1/2) (/.f64 -8/3 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 3/8 (sin.f64 x)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 3/8 (sin.f64 x))))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.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) (/.f64 8/3 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 2)) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (cos.f64 x) -1/2) (/.f64 -8/3 (sin.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (*.f64 3/8 (sin.f64 x))) 2))) |
(*.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2))) |
(*.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2))) |
(*.f64 (cbrt.f64 (*.f64 (fma.f64 1/2 (cos.f64 x) -1/2) (/.f64 -8/3 (sin.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 2) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (cos.f64 x) -1/2) (/.f64 -8/3 (sin.f64 x))) |
(*.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 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (cos.f64 x) -1/2) (/.f64 -8/3 (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 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (cos.f64 x) -1/2) (/.f64 -8/3 (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 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (cos.f64 x) -1/2) (/.f64 -8/3 (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) 1)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 8/3 (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 1)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (cos.f64 x) -1/2) (/.f64 -8/3 (sin.f64 x))) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (cos.f64 x) -1/2) (/.f64 -8/3 (sin.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 3/8 (sin.f64 x)))) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (*.f64 3/8 (sin.f64 x))))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (cos.f64 x) -1/2) (/.f64 -8/3 (sin.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 3/8 (sin.f64 x))) 2)) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (*.f64 3/8 (sin.f64 x))))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (cos.f64 x) -1/2) (/.f64 -8/3 (sin.f64 x))) |
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 8/3) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (cos.f64 x) -1/2) (/.f64 -8/3 (sin.f64 x))) |
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (*.f64 3/8 (sin.f64 x)))) (/.f64 1 (sqrt.f64 (*.f64 3/8 (sin.f64 x))))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (cos.f64 x) -1/2) (/.f64 -8/3 (sin.f64 x))) |
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (*.f64 3/8 (sin.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 3/8 (sin.f64 x))) 2))) |
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (cos.f64 x) -1/2) (/.f64 -8/3 (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 -1/2 (cos.f64 x))) (sin.f64 x))) |
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (cos.f64 x) -1/2) (/.f64 -8/3 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.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 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(/.f64 8/3 (/.f64 (sin.f64 x) (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)) (/.f64 8/3 (sin.f64 x)))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 3/8 (sin.f64 x))) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 3/8 (sin.f64 x))))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 3/8 (sin.f64 x)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 3/8 (sin.f64 x))) 2))) |
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) |
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) |
(*.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 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (/.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 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3/8)) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3/8) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sin.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) |
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(*.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) (/.f64 8/3 (sin.f64 x)))) |
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(-.f64 1/2 (/.f64 (cos.f64 x) 2)) |
(*.f64 1/2 (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x))) 2) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 2) |
(-.f64 1/2 (/.f64 (cos.f64 x) 2)) |
(*.f64 1/2 (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 1) 2) |
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 2) |
(-.f64 1/2 (/.f64 (cos.f64 x) 2)) |
(*.f64 1/2 (-.f64 1 (cos.f64 x))) |
(neg.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) |
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) |
(fabs.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(log.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
(+.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)))))) |
(+.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)) |
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(expm1.f64 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
(+.f64 1/2 (*.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) |
(log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) |
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) |
(fma.f64 -1/2 (cos.f64 x) 1/2) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/8 (sin.f64 x)))) 1) |
(*.f64 (sin.f64 x) 3/8) |
(pow.f64 (*.f64 3/8 (sin.f64 x)) 1) |
(*.f64 (sin.f64 x) 3/8) |
(pow.f64 (sqrt.f64 (*.f64 3/8 (sin.f64 x))) 2) |
(*.f64 (sin.f64 x) 3/8) |
(pow.f64 (cbrt.f64 (*.f64 3/8 (sin.f64 x))) 3) |
(*.f64 (sin.f64 x) 3/8) |
(pow.f64 (pow.f64 (*.f64 3/8 (sin.f64 x)) 3) 1/3) |
(*.f64 (sin.f64 x) 3/8) |
(neg.f64 (*.f64 (sin.f64 x) -3/8)) |
(*.f64 (sin.f64 x) 3/8) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8)) |
(*.f64 (sin.f64 x) 3/8) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/8 (sin.f64 x))))) |
(*.f64 (sin.f64 x) 3/8) |
(cbrt.f64 (pow.f64 (*.f64 3/8 (sin.f64 x)) 3)) |
(*.f64 (sin.f64 x) 3/8) |
(expm1.f64 (log1p.f64 (*.f64 3/8 (sin.f64 x)))) |
(*.f64 (sin.f64 x) 3/8) |
(exp.f64 (log.f64 (*.f64 3/8 (sin.f64 x)))) |
(*.f64 (sin.f64 x) 3/8) |
(log1p.f64 (expm1.f64 (*.f64 3/8 (sin.f64 x)))) |
(*.f64 (sin.f64 x) 3/8) |
Compiled 21795 to 15460 computations (29.1% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1064 | 4 | 1068 |
| Fresh | 9 | 2 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 6 | 6 |
| Total | 1074 | 12 | 1086 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.3b | (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1) |
| ▶ | 43.7b | (/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
| ✓ | 31.6b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
| ✓ | 31.8b | (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x)) |
| ▶ | 27.3b | (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) |
| ▶ | 0.1b | (/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4) |
| ▶ | 31.6b | (/.f64 4/3 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
| ✓ | 60.4b | (-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
| 0.4b | (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) | |
| ✓ | 31.6b | (*.f64 (/.f64 1 (*.f64 (sin.f64 x) 3/8)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
| ✓ | 0.4b | (*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
| ✓ | 30.1b | (*.f64 x 2/3) |
Compiled 173 to 144 computations (16.8% 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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 x 2/3) | |
| ✓ | 0.4b | (*.f64 (*.f64 x x) 4/9) |
| ✓ | 28.5b | (/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
Compiled 41 to 26 computations (36.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) 4/9) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) 4/9) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
| 1× | batch-egg-rewrite |
| 1866× | add-sqr-sqrt |
| 1834× | *-un-lft-identity |
| 1748× | add-cube-cbrt |
| 216× | add-exp-log |
| 216× | add-cbrt-cube |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 38 |
| 1 | 277 | 20 |
| 2 | 3447 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
(*.f64 (*.f64 x x) 4/9) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 2/3) (/.f64 0 (*.f64 x (*.f64 x 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/9 (/.f64 (*.f64 x x) (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (/.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 2/3)) (/.f64 (*.f64 x 2/3) (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3/2 x) (*.f64 x (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/27 (pow.f64 x 3)) (/.f64 1 (*.f64 x (*.f64 x 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -4/9) (/.f64 1 (*.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x 4/9)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x (*.f64 x 4/9)) (sqrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x (*.f64 x 4/9)) (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 2/3) 1) (/.f64 (*.f64 x 2/3) (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x (*.f64 x 4/9))) (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x x) (/.f64 (*.f64 x 4/9) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (*.f64 x 4/9) (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x 4/9) (sqrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x 4/9) (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 2/3) (/.f64 4/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/9 x) (/.f64 (*.f64 x x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 4/9 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 2/3))) (/.f64 4/9 (sqrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/9 (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 4/9 (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/9 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 2/3) x) (/.f64 (*.f64 x 2/3) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 2/3) 2/3) (/.f64 (*.f64 x 2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) 2/3) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (sqrt.f64 (*.f64 x 2/3))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (sqrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 4/9)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/2 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/27 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2/3 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 3/2 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) 0))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 4/9)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 4/9)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 0 (*.f64 x (*.f64 x 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 0 (*.f64 16/81 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (/.f64 3/2 x) (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 2/3) (/.f64 3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 3/2 x) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 16/81 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 64/729 (pow.f64 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 x (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/27 (pow.f64 x 3)) (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)) (*.f64 16/81 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (/.f64 3/2 x) (*.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x -2/3) (*.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x x) -4/9)) (*.f64 x -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 8/27 (pow.f64 x 3))) (*.f64 8/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) x) (*.f64 x 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 x x)) 4/9)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) 4/9) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3))) (neg.f64 (*.f64 16/81 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x 2/3)) (*.f64 x -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 8/27 (pow.f64 x 3)) (*.f64 x (*.f64 x 4/9))) (*.f64 8/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x x) -4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x (*.f64 x 4/9))) (*.f64 (*.f64 x x) -4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) 1) (*.f64 (*.f64 x -2/3) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (*.f64 x x) -4/9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 4/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16/81 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/9) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 4/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 4/9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 4/9) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 4/9 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4/9 (*.f64 x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 2/3) (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 4/9)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 0))))) |
| 1× | egg-herbie |
| 1548× | times-frac |
| 1084× | associate-/l* |
| 748× | associate-*r* |
| 742× | distribute-lft-neg-in |
| 630× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 265 | 1960 |
| 1 | 818 | 1862 |
| 2 | 6256 | 1862 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 4/9 (pow.f64 x 2)) |
(+.f64 0 (*.f64 x 2/3)) |
(+.f64 (*.f64 x 2/3) 0) |
(-.f64 (*.f64 x 2/3) 0) |
(-.f64 (*.f64 x 2/3) (/.f64 0 (*.f64 x (*.f64 x 4/9)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 1) |
(*.f64 x 2/3) |
(*.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x))) |
(*.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x))) |
(*.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x))) |
(*.f64 4/9 (/.f64 (*.f64 x x) (*.f64 x 2/3))) |
(*.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 3/2 x)) |
(*.f64 2/3 x) |
(*.f64 2/3 (/.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x 2/3) 1) |
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x))) |
(*.f64 1 (*.f64 x 2/3)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4/9))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3)) |
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3))) |
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (/.f64 3/2 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3)) |
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) |
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (/.f64 (*.f64 x 2/3) (cbrt.f64 (*.f64 x 2/3)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3))) |
(*.f64 (/.f64 3/2 x) (*.f64 x (*.f64 x 4/9))) |
(*.f64 (*.f64 8/27 (pow.f64 x 3)) (/.f64 1 (*.f64 x (*.f64 x 4/9)))) |
(*.f64 (*.f64 (*.f64 x x) -4/9) (/.f64 1 (*.f64 x -2/3))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))) |
(*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x 4/9)) 2/3)) |
(*.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x)) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x (*.f64 x 4/9)) (sqrt.f64 (*.f64 x 2/3)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x (*.f64 x 4/9)) (cbrt.f64 (*.f64 x 2/3)))) |
(*.f64 (/.f64 (*.f64 x 2/3) 1) (/.f64 (*.f64 x 2/3) (*.f64 x 2/3))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x (*.f64 x 4/9))) (*.f64 x 2/3)) |
(*.f64 (/.f64 x x) (/.f64 (*.f64 x 4/9) 2/3)) |
(*.f64 (/.f64 x 1) (/.f64 (*.f64 x 4/9) (*.f64 x 2/3))) |
(*.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x)) |
(*.f64 (/.f64 x (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x 4/9) (sqrt.f64 (*.f64 x 2/3)))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x 4/9) (cbrt.f64 (*.f64 x 2/3)))) |
(*.f64 (/.f64 (*.f64 x x) x) 2/3) |
(*.f64 (/.f64 (*.f64 x x) 2/3) (/.f64 4/9 x)) |
(*.f64 (/.f64 4/9 x) (/.f64 (*.f64 x x) 2/3)) |
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 4/9 (*.f64 x 2/3))) |
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 2/3))) (/.f64 4/9 (sqrt.f64 (*.f64 x 2/3)))) |
(*.f64 (/.f64 4/9 (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 2/3)))) |
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 4/9 (cbrt.f64 (*.f64 x 2/3)))) |
(*.f64 (/.f64 4/9 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x 2/3)))) |
(*.f64 (/.f64 (*.f64 x 2/3) x) (/.f64 (*.f64 x 2/3) 2/3)) |
(*.f64 (/.f64 (*.f64 x 2/3) 2/3) (/.f64 (*.f64 x 2/3) x)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 2/3)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) 2/3) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) x)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (*.f64 x 2/3))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (sqrt.f64 (*.f64 x 2/3))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (sqrt.f64 (*.f64 x 2/3)))) |
(pow.f64 (*.f64 x (*.f64 x 4/9)) 1/2) |
(pow.f64 (*.f64 x 2/3) 1) |
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) |
(pow.f64 (/.f64 3/2 x) -1) |
(pow.f64 (*.f64 8/27 (pow.f64 x 3)) 1/3) |
(neg.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x -2/3))) |
(sqrt.f64 (*.f64 x (*.f64 x 4/9))) |
(fabs.f64 (*.f64 x 2/3)) |
(log.f64 (exp.f64 (*.f64 x 2/3))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3)))) |
(cbrt.f64 (*.f64 8/27 (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 x 2/3))) |
(exp.f64 (log.f64 (*.f64 x 2/3))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x 2/3))) |
(fma.f64 x 2/3 0) |
(fma.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 3/2 x) 0) |
(fma.f64 2/3 x 0) |
(fma.f64 1 (*.f64 x 2/3) 0) |
(fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) 0) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) 0) |
(+.f64 (*.f64 x (*.f64 x 4/9)) 0) |
(+.f64 0 (*.f64 x (*.f64 x 4/9))) |
(-.f64 (*.f64 x (*.f64 x 4/9)) 0) |
(-.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 0 (*.f64 x (*.f64 x 4/9)))) |
(-.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 0 (*.f64 16/81 (pow.f64 x 4)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9)))) 1) |
(/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (/.f64 3/2 x) (*.f64 x 2/3))) |
(/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x))) |
(/.f64 (*.f64 x 2/3) (/.f64 3/2 x)) |
(/.f64 1 (*.f64 (/.f64 3/2 x) (/.f64 3/2 x))) |
(/.f64 1 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 16/81 (pow.f64 x 4)))) |
(/.f64 1 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 64/729 (pow.f64 (*.f64 x x) 3)))) |
(/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 x (*.f64 x 4/9))) |
(/.f64 (*.f64 8/27 (pow.f64 x 3)) (*.f64 x 2/3)) |
(/.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)) (*.f64 16/81 (pow.f64 x 4))) |
(/.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (/.f64 3/2 x) (*.f64 x -2/3))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x -2/3) (*.f64 x -2/3))) |
(/.f64 (*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x x) -4/9)) (*.f64 x -2/3)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 8/27 (pow.f64 x 3))) (*.f64 8/27 (pow.f64 x 3))) |
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) x) (*.f64 x 4/9)) |
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 x x)) 4/9) |
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) 4/9) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x 4/9))) |
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) |
(/.f64 (neg.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3))) (neg.f64 (*.f64 16/81 (pow.f64 x 4)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x 2/3)) (*.f64 x -2/3)) |
(/.f64 (*.f64 (*.f64 8/27 (pow.f64 x 3)) (*.f64 x (*.f64 x 4/9))) (*.f64 8/27 (pow.f64 x 3))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x x) -4/9)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x (*.f64 x 4/9))) (*.f64 (*.f64 x x) -4/9)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) 1) (*.f64 (*.f64 x -2/3) (/.f64 3/2 x))) |
(/.f64 (neg.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (*.f64 x x) -4/9)) |
(pow.f64 (*.f64 x (*.f64 x 4/9)) 1) |
(pow.f64 (*.f64 x 2/3) 2) |
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 3) |
(pow.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)) 1/3) |
(sqrt.f64 (*.f64 16/81 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 4/9) (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 4/9))))) |
(cbrt.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x 4/9)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 4/9))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 4/9)))) |
(fma.f64 x (*.f64 x 4/9) 0) |
(fma.f64 (*.f64 x x) 4/9 0) |
(fma.f64 4/9 (*.f64 x x) 0) |
(fma.f64 (*.f64 x 2/3) (*.f64 x 2/3) 0) |
(fma.f64 1 (*.f64 x (*.f64 x 4/9)) 0) |
(fma.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 0) |
| Outputs |
|---|
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(*.f64 4/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 4/9)) |
(+.f64 0 (*.f64 x 2/3)) |
(*.f64 2/3 x) |
(+.f64 (*.f64 x 2/3) 0) |
(*.f64 2/3 x) |
(-.f64 (*.f64 x 2/3) 0) |
(*.f64 2/3 x) |
(-.f64 (*.f64 x 2/3) (/.f64 0 (*.f64 x (*.f64 x 4/9)))) |
(*.f64 2/3 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 1) |
(*.f64 2/3 x) |
(*.f64 x 2/3) |
(*.f64 2/3 x) |
(*.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x))) |
(*.f64 2/3 x) |
(*.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x))) |
(*.f64 2/3 x) |
(*.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x))) |
(*.f64 2/3 x) |
(*.f64 4/9 (/.f64 (*.f64 x x) (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(*.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 3/2 x)) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 (/.f64 (*.f64 x x) x)) |
(*.f64 2/3 x) |
(*.f64 (*.f64 x 2/3) 1) |
(*.f64 2/3 x) |
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x))) |
(*.f64 2/3 x) |
(*.f64 1 (*.f64 x 2/3)) |
(*.f64 2/3 x) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4/9))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3)) |
(*.f64 2/3 x) |
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (/.f64 3/2 x))) |
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (/.f64 3/2 x) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (*.f64 (/.f64 3/2 x) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3)) |
(*.f64 2/3 x) |
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) |
(*.f64 2/3 x) |
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (/.f64 (*.f64 x 2/3) (cbrt.f64 (*.f64 x 2/3)))) |
(*.f64 (cbrt.f64 (*.f64 2/3 x)) (/.f64 x (/.f64 (cbrt.f64 (*.f64 2/3 x)) 2/3))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 4) (cbrt.f64 (*.f64 2/3 x))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 3/2 x) (*.f64 x (*.f64 x 4/9))) |
(*.f64 2/3 x) |
(*.f64 (*.f64 8/27 (pow.f64 x 3)) (/.f64 1 (*.f64 x (*.f64 x 4/9)))) |
(*.f64 8/27 (*.f64 (pow.f64 x 3) (/.f64 1 (*.f64 x (*.f64 x 4/9))))) |
(/.f64 8/27 (/.f64 4/9 x)) |
(*.f64 (*.f64 (*.f64 x x) -4/9) (/.f64 1 (*.f64 x -2/3))) |
(*.f64 2/3 x) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (fabs.f64 (cbrt.f64 (*.f64 2/3 x)))) |
(*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 2/3 x) |
(*.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 2/3 x) |
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x 4/9)) 2/3)) |
(*.f64 2/3 x) |
(*.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x)) |
(*.f64 2/3 x) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x (*.f64 x 4/9)) (sqrt.f64 (*.f64 x 2/3)))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x (*.f64 x 4/9)) (cbrt.f64 (*.f64 x 2/3)))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 (*.f64 x 2/3) 1) (/.f64 (*.f64 x 2/3) (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x (*.f64 x 4/9))) (*.f64 x 2/3)) |
(*.f64 2/3 x) |
(*.f64 (/.f64 x x) (/.f64 (*.f64 x 4/9) 2/3)) |
(*.f64 2/3 x) |
(*.f64 (/.f64 x 1) (/.f64 (*.f64 x 4/9) (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x)) |
(*.f64 2/3 x) |
(*.f64 (/.f64 x (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x 4/9) (sqrt.f64 (*.f64 x 2/3)))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x 4/9) (cbrt.f64 (*.f64 x 2/3)))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 (*.f64 x x) x) 2/3) |
(*.f64 2/3 x) |
(*.f64 (/.f64 (*.f64 x x) 2/3) (/.f64 4/9 x)) |
(*.f64 2/3 x) |
(*.f64 (/.f64 4/9 x) (/.f64 (*.f64 x x) 2/3)) |
(*.f64 2/3 x) |
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 4/9 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 2/3))) (/.f64 4/9 (sqrt.f64 (*.f64 x 2/3)))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 4/9 (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 2/3)))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 4/9 (cbrt.f64 (*.f64 x 2/3)))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 4/9 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x 2/3)))) |
(*.f64 2/3 x) |
(*.f64 (/.f64 (*.f64 x 2/3) x) (/.f64 (*.f64 x 2/3) 2/3)) |
(*.f64 2/3 x) |
(*.f64 (/.f64 (*.f64 x 2/3) 2/3) (/.f64 (*.f64 x 2/3) x)) |
(*.f64 2/3 x) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 2/3)) |
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (/.f64 3/2 x) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (*.f64 (/.f64 3/2 x) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) 2/3) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) x)) |
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (/.f64 3/2 x) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (*.f64 (/.f64 3/2 x) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (*.f64 x 2/3))) |
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (/.f64 3/2 x) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (*.f64 (/.f64 3/2 x) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (sqrt.f64 (*.f64 x 2/3))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (sqrt.f64 (*.f64 x 2/3)))) |
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (/.f64 3/2 x) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (*.f64 (/.f64 3/2 x) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))))) |
(pow.f64 (*.f64 x (*.f64 x 4/9)) 1/2) |
(sqrt.f64 (*.f64 x (*.f64 x 4/9))) |
(fabs.f64 (*.f64 x -2/3)) |
(pow.f64 (*.f64 x 2/3) 1) |
(*.f64 2/3 x) |
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2) |
(*.f64 2/3 x) |
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) |
(*.f64 2/3 x) |
(pow.f64 (/.f64 3/2 x) -1) |
(*.f64 2/3 x) |
(pow.f64 (*.f64 8/27 (pow.f64 x 3)) 1/3) |
(cbrt.f64 (*.f64 8/27 (pow.f64 x 3))) |
(neg.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x -2/3))) |
(*.f64 2/3 x) |
(sqrt.f64 (*.f64 x (*.f64 x 4/9))) |
(fabs.f64 (*.f64 x -2/3)) |
(fabs.f64 (*.f64 x 2/3)) |
(*.f64 2/3 x) |
(log.f64 (exp.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3)))) |
(*.f64 2/3 x) |
(cbrt.f64 (*.f64 8/27 (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(exp.f64 (log.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1)) |
(*.f64 2/3 x) |
(log1p.f64 (expm1.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(fma.f64 x 2/3 0) |
(*.f64 2/3 x) |
(fma.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 3/2 x) 0) |
(*.f64 2/3 x) |
(fma.f64 2/3 x 0) |
(*.f64 2/3 x) |
(fma.f64 1 (*.f64 x 2/3) 0) |
(*.f64 2/3 x) |
(fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) 0) |
(*.f64 2/3 x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) 0) |
(*.f64 2/3 x) |
(+.f64 (*.f64 x (*.f64 x 4/9)) 0) |
(*.f64 x (*.f64 x 4/9)) |
(+.f64 0 (*.f64 x (*.f64 x 4/9))) |
(*.f64 x (*.f64 x 4/9)) |
(-.f64 (*.f64 x (*.f64 x 4/9)) 0) |
(*.f64 x (*.f64 x 4/9)) |
(-.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 0 (*.f64 x (*.f64 x 4/9)))) |
(*.f64 x (*.f64 x 4/9)) |
(-.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 0 (*.f64 16/81 (pow.f64 x 4)))) |
(*.f64 x (*.f64 x 4/9)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9)))) 1) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (/.f64 3/2 x) (*.f64 x 2/3))) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x))) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 x 2/3) (/.f64 3/2 x)) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 1 (*.f64 (/.f64 3/2 x) (/.f64 3/2 x))) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 1 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 16/81 (pow.f64 x 4)))) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 1 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 64/729 (pow.f64 (*.f64 x x) 3)))) |
(/.f64 1 (*.f64 9/4 (/.f64 (pow.f64 x 4) (pow.f64 (*.f64 x x) 3)))) |
(*.f64 4/9 (/.f64 (pow.f64 x 6) (pow.f64 x 4))) |
(/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 x (*.f64 x 4/9))) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 8/27 (pow.f64 x 3)) (*.f64 x 2/3)) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)) (*.f64 16/81 (pow.f64 x 4))) |
(/.f64 1 (*.f64 9/4 (/.f64 (pow.f64 x 4) (pow.f64 (*.f64 x x) 3)))) |
(*.f64 4/9 (/.f64 (pow.f64 x 6) (pow.f64 x 4))) |
(/.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (/.f64 3/2 x) (*.f64 x -2/3))) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x -2/3) (*.f64 x -2/3))) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x x) -4/9)) (*.f64 x -2/3)) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 8/27 (pow.f64 x 3))) (*.f64 8/27 (pow.f64 x 3))) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) x) (*.f64 x 4/9)) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 x x)) 4/9) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) 4/9) (*.f64 x x)) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x 4/9))) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) |
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)) |
(*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)) (/.f64 16/81 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))))) |
(/.f64 (neg.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3))) (neg.f64 (*.f64 16/81 (pow.f64 x 4)))) |
(/.f64 1 (*.f64 9/4 (/.f64 (pow.f64 x 4) (pow.f64 (*.f64 x x) 3)))) |
(*.f64 4/9 (/.f64 (pow.f64 x 6) (pow.f64 x 4))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x 2/3)) (*.f64 x -2/3)) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 (*.f64 8/27 (pow.f64 x 3)) (*.f64 x (*.f64 x 4/9))) (*.f64 8/27 (pow.f64 x 3))) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x x) -4/9)) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x (*.f64 x 4/9))) (*.f64 (*.f64 x x) -4/9)) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) 1) (*.f64 (*.f64 x -2/3) (/.f64 3/2 x))) |
(*.f64 x (*.f64 x 4/9)) |
(/.f64 (neg.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (*.f64 x x) -4/9)) |
(*.f64 x (*.f64 x 4/9)) |
(pow.f64 (*.f64 x (*.f64 x 4/9)) 1) |
(*.f64 x (*.f64 x 4/9)) |
(pow.f64 (*.f64 x 2/3) 2) |
(*.f64 x (*.f64 x 4/9)) |
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 3) |
(*.f64 x (*.f64 x 4/9)) |
(pow.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)) 1/3) |
(cbrt.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3))) |
(cbrt.f64 (*.f64 64/729 (pow.f64 x 6))) |
(sqrt.f64 (*.f64 16/81 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 4/9) (*.f64 x x))) |
(*.f64 x (*.f64 x 4/9)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 4/9))))) |
(*.f64 x (*.f64 x 4/9)) |
(cbrt.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3))) |
(cbrt.f64 (*.f64 64/729 (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9)))) |
(*.f64 x (*.f64 x 4/9)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x 4/9)))) |
(*.f64 x (*.f64 x 4/9)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 4/9))) 1)) |
(*.f64 x (*.f64 x 4/9)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 4/9)))) |
(*.f64 x (*.f64 x 4/9)) |
(fma.f64 x (*.f64 x 4/9) 0) |
(*.f64 x (*.f64 x 4/9)) |
(fma.f64 (*.f64 x x) 4/9 0) |
(*.f64 x (*.f64 x 4/9)) |
(fma.f64 4/9 (*.f64 x x) 0) |
(*.f64 x (*.f64 x 4/9)) |
(fma.f64 (*.f64 x 2/3) (*.f64 x 2/3) 0) |
(*.f64 x (*.f64 x 4/9)) |
(fma.f64 1 (*.f64 x (*.f64 x 4/9)) 0) |
(*.f64 x (*.f64 x 4/9)) |
(fma.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 0) |
(fma.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) 0) |
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) |
Compiled 17 to 13 computations (23.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) |
| 0.0ms | x | @ | -inf | (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) |
| 0.0ms | x | @ | 0 | (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) |
| 1× | batch-egg-rewrite |
| 1706× | add-sqr-sqrt |
| 1668× | *-un-lft-identity |
| 1568× | add-cube-cbrt |
| 1554× | add-cbrt-cube |
| 172× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 186 | 17 |
| 2 | 2104 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9)) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (sin.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))))))) |
| 1× | egg-herbie |
| 1796× | distribute-lft-in |
| 1618× | associate-*r* |
| 1286× | associate-*l* |
| 878× | associate-+r+ |
| 784× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 755 |
| 1 | 188 | 755 |
| 2 | 626 | 749 |
| 3 | 4124 | 749 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (*.f64 2/3 x)) |
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/2880 (pow.f64 x 5)) (*.f64 2/3 x))) |
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/2880 (pow.f64 x 5)) (+.f64 (*.f64 2/3 x) (*.f64 -1/483840 (pow.f64 x 7))))) |
(*.f64 4/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 4/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 4/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 4/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 4/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 4/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 4/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 4/3 (sin.f64 (*.f64 1/2 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 1) |
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) |
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 1) |
(*.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 4/3)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9)) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4/3)) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -4/3) |
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3) 1/3) |
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1) |
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/4)) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9)) |
(log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) |
| Outputs |
|---|
(*.f64 2/3 x) |
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 -1/36 (pow.f64 x 3) (*.f64 2/3 x)) |
(fma.f64 2/3 x (*.f64 -1/36 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/2880 (pow.f64 x 5)) (*.f64 2/3 x))) |
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/2880 (pow.f64 x 5) (*.f64 2/3 x))) |
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/2880 (pow.f64 x 5)))) |
(fma.f64 2/3 x (fma.f64 -1/36 (pow.f64 x 3) (*.f64 1/2880 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/2880 (pow.f64 x 5)) (+.f64 (*.f64 2/3 x) (*.f64 -1/483840 (pow.f64 x 7))))) |
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/2880 (pow.f64 x 5) (fma.f64 2/3 x (*.f64 -1/483840 (pow.f64 x 7))))) |
(fma.f64 1/2880 (pow.f64 x 5) (fma.f64 -1/36 (pow.f64 x 3) (fma.f64 -1/483840 (pow.f64 x 7) (*.f64 2/3 x)))) |
(*.f64 4/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (sin.f64 (*.f64 1/2 x))) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 1) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 1) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 4/3)) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9))) |
(*.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9))) |
(*.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 2))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9)) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) |
(*.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9))) |
(*.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (*.f64 4/3 (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))) 4/3)) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -4/3) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 1) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 3) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3) 1/3) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/4)) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9)) |
(fabs.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) |
(log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3)) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1)) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) |
(*.f64 4/3 (sin.f64 (*.f64 x 1/2))) |
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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1) |
| 1.0ms | x | @ | -inf | (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1) |
| 0.0ms | 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 |
|---|
((#(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 -1 (*.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 (*.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 (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 (neg.f64 (tan.f64 (*.f64 x 1/2))) -4/3)))) 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(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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(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 pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))) (#(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))) |
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(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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
| ✓ | 0.2b | (/.f64 4/3 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
| 1.8b | (-.f64 1 (cos.f64 x)) |
Compiled 28 to 15 computations (46.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 4/3 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
| 0.0ms | x | @ | inf | (/.f64 4/3 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
| 1× | batch-egg-rewrite |
| 1504× | associate-*l/ |
| 1368× | associate-/r* |
| 1058× | *-commutative |
| 858× | associate-/l* |
| 634× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 48 |
| 1 | 235 | 34 |
| 2 | 3053 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4/3 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (tan.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 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(cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (tan.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 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(cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2))) (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 x) 1) (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 x) 1) (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (/.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))))))) |
| 1× | egg-herbie |
| 1704× | distribute-lft-in |
| 1680× | distribute-rgt-in |
| 1288× | associate-/l/ |
| 1030× | associate-/r/ |
| 454× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 355 | 4415 |
| 1 | 1076 | 4339 |
| 2 | 3755 | 4317 |
| 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 (-.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 2 x) |
(+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) |
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/15120 (pow.f64 x 5))))) |
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x)))) |
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 1 (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))) |
(+.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) |
(+.f64 (*.f64 (/.f64 -4/3 (sin.f64 x)) -1) (*.f64 (/.f64 -4/3 (sin.f64 x)) (neg.f64 (neg.f64 (cos.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) 1) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 1 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) |
(*.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 1) |
(*.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 2) (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 4/3 (sin.f64 x)))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -4/3 (sin.f64 x))) |
(*.f64 -4/3 (*.f64 -1 (tan.f64 (/.f64 x 2)))) |
(*.f64 -4/3 (neg.f64 (tan.f64 (/.f64 x 2)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 4/3 (sin.f64 x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 4/3 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2)) (*.f64 4/3 (cbrt.f64 (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 4/3 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 4/3 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 4/3 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 -4/3 (sin.f64 x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 (*.f64 -1 (tan.f64 (/.f64 x 2))) -4/3) |
(*.f64 (*.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) (*.f64 4/3 (sqrt.f64 (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 (*.f64 4/3 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 1) (sqrt.f64 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (/.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2)) 1) (cbrt.f64 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 (/.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 4/3 (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 4/3 (/.f64 (sin.f64 x) 1)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 4/3 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 4/3 (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 4/3 (sin.f64 x)) -1) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 -4/3 (neg.f64 (neg.f64 (sin.f64 x)))) (+.f64 -1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (-.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 (*.f64 4/3 (sqrt.f64 (tan.f64 (/.f64 x 2)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2)) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) |
(pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 1) |
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 3) |
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3) 1/3) |
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1) |
(sqrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 2)) |
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (/.f64 x 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))) |
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) |
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) |
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) |
(+.f64 (*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) (cos.f64 x))) |
(+.f64 (*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) 1)) |
(+.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1)) |
(+.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cos.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) 1) |
(*.f64 (sin.f64 x) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 1 (/.f64 1 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 1) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2)) |
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2) (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2))))) |
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x)) |
(*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 -1 (/.f64 -1 (tan.f64 (/.f64 x 2)))) |
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) 1)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (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 (sin.f64 x) (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (+.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 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2))) (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2))))) |
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 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 (/.f64 (sin.f64 x) 1) (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 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 (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 1) |
(pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 3) 1/3) |
(pow.f64 (tan.f64 (/.f64 x 2)) -1) |
(neg.f64 (/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 2)) |
(log.f64 (exp.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(exp.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (/.f64 x 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 (-.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 2 x) |
(+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))) |
(fma.f64 -1/6 x (/.f64 2 x)) |
(fma.f64 x -1/6 (/.f64 2 x)) |
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) |
(fma.f64 -1/360 (pow.f64 x 3) (fma.f64 -1/6 x (/.f64 2 x))) |
(fma.f64 (pow.f64 x 3) -1/360 (fma.f64 x -1/6 (/.f64 2 x))) |
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/15120 (pow.f64 x 5))))) |
(fma.f64 -1/360 (pow.f64 x 3) (+.f64 (fma.f64 -1/6 x (/.f64 2 x)) (*.f64 (pow.f64 x 5) -1/15120))) |
(fma.f64 (pow.f64 x 3) -1/360 (fma.f64 x -1/6 (fma.f64 (pow.f64 x 5) -1/15120 (/.f64 2 x)))) |
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 1 (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(+.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(+.f64 (*.f64 (/.f64 -4/3 (sin.f64 x)) -1) (*.f64 (/.f64 -4/3 (sin.f64 x)) (neg.f64 (neg.f64 (cos.f64 x))))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) 1) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 1 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 1) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 2)) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 2) (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 4/3 (sin.f64 x)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -4/3 (sin.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 -4/3 (*.f64 -1 (tan.f64 (/.f64 x 2)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 -4/3 (neg.f64 (tan.f64 (/.f64 x 2)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 4/3 (sin.f64 x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 4/3 (-.f64 1 (cos.f64 x)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2)) (*.f64 4/3 (cbrt.f64 (tan.f64 (/.f64 x 2))))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 4/3 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 4/3 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (sin.f64 x))))) |
(*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 4/3 (+.f64 -1 (cos.f64 x)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 -4/3 (sin.f64 x)) (+.f64 -1 (cos.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (*.f64 -1 (tan.f64 (/.f64 x 2))) -4/3) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (*.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) (*.f64 4/3 (sqrt.f64 (tan.f64 (/.f64 x 2))))) |
(*.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (*.f64 4/3 (sqrt.f64 (tan.f64 (/.f64 x 2))))) |
(*.f64 4/3 (*.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 (tan.f64 (/.f64 x 2))))) |
(/.f64 4/3 (pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2)) |
(*.f64 (/.f64 (*.f64 4/3 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 1) (sqrt.f64 (tan.f64 (/.f64 x 2)))) |
(*.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (*.f64 4/3 (sqrt.f64 (tan.f64 (/.f64 x 2))))) |
(*.f64 4/3 (*.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 (tan.f64 (/.f64 x 2))))) |
(/.f64 4/3 (pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2)) |
(*.f64 (/.f64 (/.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2)) 1) (cbrt.f64 (tan.f64 (/.f64 x 2)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (/.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2)))) |
(/.f64 (/.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2)) (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 4/3 (cbrt.f64 (sin.f64 x))) (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2))) |
(*.f64 (/.f64 4/3 (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 4/3 (/.f64 (sin.f64 x) 1)) (-.f64 1 (cos.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 4/3 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 4/3 (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (+.f64 -1 (cos.f64 x)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (/.f64 4/3 (sin.f64 x)) -1) (+.f64 -1 (cos.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 -4/3 (neg.f64 (neg.f64 (sin.f64 x)))) (+.f64 -1 (cos.f64 x))) |
(*.f64 4/3 (tan.f64 (/.f64 x 2))) |
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(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (cbrt.f64 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (cbrt.f64 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2))))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (tan.f64 (/.f64 x 2)))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (cbrt.f64 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) |
(/.f64 (*.f64 (sin.f64 x) (-.f64 -1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 (sin.f64 x) (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 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) |
(/.f64 (*.f64 (sin.f64 x) (-.f64 -1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 (sin.f64 x) (+.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 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) |
(/.f64 (*.f64 (sin.f64 x) (-.f64 -1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2))) (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2))))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (cbrt.f64 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 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 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) |
(/.f64 (*.f64 (sin.f64 x) (-.f64 -1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 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 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1))) |
(/.f64 (*.f64 (sin.f64 x) (-.f64 -1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (hypot.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3/2)))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (sin.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) (cbrt.f64 (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) |
(pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 1) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 3) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(pow.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 3) 1/3) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(pow.f64 (tan.f64 (/.f64 x 2)) -1) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(neg.f64 (/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(sqrt.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 2)) |
(sqrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) -2)) |
(fabs.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) |
(log.f64 (exp.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(cbrt.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 3)) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(exp.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2))))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) |
(/.f64 1 (tan.f64 (/.f64 x 2))) |
Compiled 14910 to 11231 computations (24.7% saved)
26 alts after pruning (19 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 874 | 18 | 892 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 4 | 6 | 10 |
| Total | 878 | 26 | 904 |
| Status | Error | Program |
|---|---|---|
| 54.3b | (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x -2/3) (*.f64 x -2/3))) 0) (-.f64 (*.f64 x 2/3) 0)) | |
| ✓ | 31.6b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
| ✓ | 31.8b | (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x)) |
| 0.1b | (/.f64 (tan.f64 (*.f64 x 1/2)) 3/4) | |
| 29.9b | (/.f64 (neg.f64 (*.f64 x 1/2)) -3/4) | |
| ✓ | 31.6b | (/.f64 4/3 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
| 30.1b | (/.f64 4/3 (/.f64 2 x)) | |
| 29.8b | (/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) | |
| 0.3b | (/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) | |
| 30.0b | (/.f64 8/27 (/.f64 4/9 x)) | |
| ✓ | 60.4b | (-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
| 43.7b | (*.f64 (/.f64 (*.f64 x x) x) 2/3) | |
| 30.1b | (*.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x)) | |
| 43.8b | (*.f64 (/.f64 3/2 x) (*.f64 x (*.f64 x 4/9))) | |
| 0.4b | (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) | |
| ✓ | 31.6b | (*.f64 (/.f64 1 (*.f64 (sin.f64 x) 3/8)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
| 43.8b | (*.f64 (*.f64 (*.f64 x x) -4/9) (/.f64 1 (*.f64 x -2/3))) | |
| 43.8b | (*.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x))) | |
| 30.3b | (*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x))) | |
| ✓ | 0.4b | (*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
| 30.2b | (*.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x))) | |
| ✓ | 30.1b | (*.f64 x 2/3) |
| 43.8b | (*.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x)) | |
| 43.8b | (*.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x))) | |
| 43.7b | (neg.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x -2/3))) | |
| 45.1b | (fabs.f64 (*.f64 x 2/3)) |
Compiled 258 to 199 computations (22.9% saved)
| Inputs |
|---|
(*.f64 x 2/3) |
(/.f64 8/27 (/.f64 4/9 x)) |
(/.f64 4/3 (/.f64 2 x)) |
(/.f64 (neg.f64 (*.f64 x 1/2)) -3/4) |
(*.f64 (/.f64 (*.f64 x x) x) 2/3) |
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
(*.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x))) |
(*.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x)) |
(*.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x))) |
(*.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x))) |
(*.f64 (/.f64 3/2 x) (*.f64 x (*.f64 x 4/9))) |
(*.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x)) |
(neg.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x -2/3))) |
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x))) |
(*.f64 (*.f64 (*.f64 x x) -4/9) (/.f64 1 (*.f64 x -2/3))) |
(/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x -2/3) (*.f64 x -2/3))) 0) (-.f64 (*.f64 x 2/3) 0)) |
(fabs.f64 (*.f64 x 2/3)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) |
(/.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 (*.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 4/3 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) |
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 3/4) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (/.f64 1 (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 (*.f64 (/.f64 1 (sin.f64 x)) (+.f64 -1 (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 (*.f64 (sin.f64 x) 3/8)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 (-.f64 1 (+.f64 (cos.f64 x) 1)) 1) 3/4) (/.f64 1 (sin.f64 x))) |
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) |
(/.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 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) |
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)) |
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) |
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) |
(/.f64 -2 (*.f64 (sin.f64 x) (/.f64 3/4 (*.f64 (sin.f64 (*.f64 (neg.f64 x) 1/2)) (sin.f64 (*.f64 x 1/2)))))) |
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)) |
| Outputs |
|---|
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4) |
2 calls:
| 22.0ms | x |
| 19.0ms | (/.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 547 to 389 computations (28.9% saved)
| Inputs |
|---|
(*.f64 x 2/3) |
(/.f64 8/27 (/.f64 4/9 x)) |
(/.f64 4/3 (/.f64 2 x)) |
(/.f64 (neg.f64 (*.f64 x 1/2)) -3/4) |
(*.f64 (/.f64 (*.f64 x x) x) 2/3) |
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
(*.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x))) |
(*.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x)) |
(*.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x))) |
(*.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x))) |
(*.f64 (/.f64 3/2 x) (*.f64 x (*.f64 x 4/9))) |
(*.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x)) |
(neg.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x -2/3))) |
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x))) |
(*.f64 (*.f64 (*.f64 x x) -4/9) (/.f64 1 (*.f64 x -2/3))) |
(/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x -2/3) (*.f64 x -2/3))) 0) (-.f64 (*.f64 x 2/3) 0)) |
(fabs.f64 (*.f64 x 2/3)) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) |
| Outputs |
|---|
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
1 calls:
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 1 | x |
Compiled 189 to 132 computations (30.2% saved)
| Inputs |
|---|
(*.f64 x 2/3) |
(/.f64 8/27 (/.f64 4/9 x)) |
(/.f64 4/3 (/.f64 2 x)) |
(/.f64 (neg.f64 (*.f64 x 1/2)) -3/4) |
(*.f64 (/.f64 (*.f64 x x) x) 2/3) |
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
(*.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x))) |
(*.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x)) |
(*.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x))) |
(*.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x))) |
(*.f64 (/.f64 3/2 x) (*.f64 x (*.f64 x 4/9))) |
(*.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x)) |
(neg.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x -2/3))) |
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x))) |
(*.f64 (*.f64 (*.f64 x x) -4/9) (/.f64 1 (*.f64 x -2/3))) |
(/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x -2/3) (*.f64 x -2/3))) 0) (-.f64 (*.f64 x 2/3) 0)) |
(fabs.f64 (*.f64 x 2/3)) |
| Outputs |
|---|
(/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) |
1 calls:
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 29.8b | 1 | x |
Compiled 177 to 122 computations (31.1% saved)
| Inputs |
|---|
(*.f64 x 2/3) |
(/.f64 8/27 (/.f64 4/9 x)) |
(/.f64 4/3 (/.f64 2 x)) |
(/.f64 (neg.f64 (*.f64 x 1/2)) -3/4) |
(*.f64 (/.f64 (*.f64 x x) x) 2/3) |
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1) |
(*.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x))) |
(*.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x)) |
(*.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x))) |
(*.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x))) |
(*.f64 (/.f64 3/2 x) (*.f64 x (*.f64 x 4/9))) |
(*.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x)) |
(neg.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x -2/3))) |
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x))) |
(*.f64 (*.f64 (*.f64 x x) -4/9) (/.f64 1 (*.f64 x -2/3))) |
| Outputs |
|---|
(/.f64 (neg.f64 (*.f64 x 1/2)) -3/4) |
1 calls:
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 29.9b | 1 | x |
Compiled 122 to 83 computations (32% saved)
Total -0.2b remaining (-0.7%)
Threshold costs -0.2b (-0.7%)
| Inputs |
|---|
(*.f64 x 2/3) |
(/.f64 8/27 (/.f64 4/9 x)) |
(/.f64 4/3 (/.f64 2 x)) |
| Outputs |
|---|
(/.f64 8/27 (/.f64 4/9 x)) |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 30.0b | 1 | x |
Compiled 16 to 12 computations (25% saved)
| 1× | egg-herbie |
| 20× | *-commutative |
| 8× | +-commutative |
| 6× | neg-mul-1 |
| 6× | neg-sub0 |
| 4× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 98 |
| 1 | 48 | 98 |
| 2 | 56 | 98 |
| 3 | 61 | 98 |
| 4 | 63 | 98 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.f64 (neg.f64 (*.f64 x 1/2)) -3/4) |
(/.f64 8/27 (/.f64 4/9 x)) |
(*.f64 x 2/3) |
| Outputs |
|---|
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4) |
(*.f64 (tan.f64 (/.f64 x 2)) 4/3) |
(/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) |
(/.f64 4/3 (+.f64 (*.f64 x -1/6) (*.f64 2 (/.f64 1 x)))) |
(/.f64 (neg.f64 (*.f64 x 1/2)) -3/4) |
(/.f64 (*.f64 x -1/2) -3/4) |
(/.f64 8/27 (/.f64 4/9 x)) |
(*.f64 x 2/3) |
Compiled 42 to 35 computations (16.7% saved)
| 2× | egg-herbie |
| 1576× | associate-/l* |
| 1054× | associate-/l/ |
| 682× | times-frac |
| 678× | associate-/r/ |
| 576× | *-commutative |
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 |
| 1× | node limit |
| 1× | saturated |
Compiled 135 to 98 computations (27.4% saved)
Compiled 37 to 30 computations (18.9% saved)
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