Time bar (total: 9.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 7 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 8 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 9 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 10 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 11 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 9 computations (30.8% saved)
| 1.3s | 2061× | body | 1024 | valid |
| 1.2s | 5161× | body | 256 | valid |
| 391.0ms | 1029× | body | 512 | valid |
| 4.0ms | 5× | body | 2048 | valid |
| 2× | egg-herbie |
| 780× | fma-def |
| 488× | associate-*r* |
| 310× | associate--r+ |
| 264× | associate-+r+ |
| 254× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 108 |
| 1 | 56 | 108 |
| 2 | 99 | 108 |
| 3 | 166 | 108 |
| 4 | 255 | 108 |
| 5 | 452 | 108 |
| 6 | 821 | 108 |
| 7 | 1422 | 108 |
| 8 | 2069 | 108 |
| 9 | 2618 | 108 |
| 10 | 2644 | 108 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x))) |
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z))) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x))) |
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z))) |
(fma.f64 x (cos.f64 z) (*.f64 (sin.f64 z) (neg.f64 y))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 222× | fma-def |
| 106× | associate-*r* |
| 100× | +-commutative |
| 98× | associate--r+ |
| 82× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 27 |
| 1 | 20 | 27 |
| 2 | 33 | 27 |
| 3 | 51 | 27 |
| 4 | 77 | 27 |
| 5 | 131 | 27 |
| 6 | 227 | 27 |
| 7 | 355 | 27 |
| 8 | 565 | 27 |
| 9 | 737 | 27 |
| 10 | 782 | 27 |
| 11 | 788 | 27 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 8 computations (33.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.23% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 8 computations (33.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (cos.f64 y) |
| ✓ | 0.01% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | 0.21% | (*.f64 x (cos.f64 y)) |
| ✓ | 0.23% | (*.f64 z (sin.f64 y)) |
Compiled 27 to 8 computations (70.4% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (*.f64 x (cos.f64 y)) |
| 1.0ms | z | @ | 0 | (*.f64 z (sin.f64 y)) |
| 1.0ms | x | @ | -inf | (*.f64 x (cos.f64 y)) |
| 1.0ms | y | @ | 0 | (*.f64 z (sin.f64 y)) |
| 0.0ms | x | @ | 0 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1× | batch-egg-rewrite |
| 1022× | unswap-sqr |
| 786× | swap-sqr |
| 730× | distribute-rgt-in |
| 682× | distribute-lft-in |
| 546× | associate-*r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 54 |
| 1 | 233 | 54 |
| 2 | 3079 | 54 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z (sin.f64 y)) |
(*.f64 x (cos.f64 y)) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (*.f64 (*.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2) (*.f64 (*.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1) (*.f64 (*.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z 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| 1× | egg-herbie |
| 1884× | associate-+l+ |
| 1132× | fma-def |
| 1056× | +-commutative |
| 756× | associate-*r* |
| 710× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 593 | 12049 |
| 1 | 1682 | 11545 |
| 2 | 7580 | 11545 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
x |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
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(*.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (cbrt.f64 (cos.f64 y)))) (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 y))))) |
(pow.f64 (cos.f64 y) 1) |
(pow.f64 (sqrt.f64 (cos.f64 y)) 2) |
(pow.f64 (cbrt.f64 (cos.f64 y)) 3) |
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3) |
(sqrt.f64 (pow.f64 (cos.f64 y) 2)) |
(log.f64 (exp.f64 (cos.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y)))) |
(cbrt.f64 (pow.f64 (cos.f64 y) 3)) |
(expm1.f64 (log1p.f64 (cos.f64 y))) |
(exp.f64 (log.f64 (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1)) |
(log1p.f64 (expm1.f64 (cos.f64 y))) |
| Outputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5))))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5))))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
x |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)) |
(+.f64 x (*.f64 x (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))) |
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))) |
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (+.f64 x (*.f64 x (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)) |
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))) |
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))) |
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) (fma.f64 (*.f64 z (pow.f64 y 3)) 1/6 x)) (*.f64 y z)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 y y))) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 (fma.f64 -1/2 (*.f64 y y) 1) (*.f64 1/24 (pow.f64 y 4))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 (fma.f64 -1/2 (*.f64 y y) 1) (*.f64 1/24 (pow.f64 y 4)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1) |
(*.f64 z (sin.f64 y)) |
(pow.f64 (*.f64 z (sin.f64 y)) 1) |
(*.f64 z (sin.f64 y)) |
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2) |
(*.f64 z (sin.f64 y)) |
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3) |
(*.f64 z (sin.f64 y)) |
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3) |
(*.f64 z (sin.f64 y)) |
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) |
(fabs.f64 (*.f64 z (sin.f64 y))) |
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y))))) |
(*.f64 z (sin.f64 y)) |
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)) |
(*.f64 z (sin.f64 y)) |
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) |
(*.f64 z (sin.f64 y)) |
(exp.f64 (log.f64 (*.f64 z (sin.f64 y)))) |
(*.f64 z (sin.f64 y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1)) |
(*.f64 z (sin.f64 y)) |
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y)))) |
(*.f64 z (sin.f64 y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1) |
(*.f64 (cos.f64 y) x) |
(pow.f64 (*.f64 x (cos.f64 y)) 1) |
(*.f64 (cos.f64 y) x) |
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2) |
(*.f64 (cos.f64 y) x) |
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) |
(*.f64 (cos.f64 y) x) |
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3) |
(*.f64 (cos.f64 y) x) |
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2)) |
(fabs.f64 (*.f64 (cos.f64 y) x)) |
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y))) |
(*.f64 (cos.f64 y) x) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y))))) |
(*.f64 (cos.f64 y) x) |
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) |
(*.f64 (cos.f64 y) x) |
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) |
(*.f64 (cos.f64 y) x) |
(exp.f64 (log.f64 (*.f64 x (cos.f64 y)))) |
(*.f64 (cos.f64 y) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1)) |
(*.f64 (cos.f64 y) x) |
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y)))) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (*.f64 (*.f64 z (sin.f64 y)) 0))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) 1)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2) (*.f64 (*.f64 z (sin.f64 y)) 0))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
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(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 2))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 2))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 2))) |
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3) 1/3) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 2))) |
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)) |
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)) |
(fabs.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(log.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 1 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) 0)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) 0)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1) |
(cos.f64 y) |
(*.f64 (cos.f64 y) 1) |
(cos.f64 y) |
(*.f64 1 (cos.f64 y)) |
(cos.f64 y) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) |
(cos.f64 y) |
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) |
(cos.f64 y) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y))) |
(cos.f64 y) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))) |
(cos.f64 y) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) |
(cos.f64 y) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) |
(*.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (cbrt.f64 (cos.f64 y)))) (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))) |
(cos.f64 y) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 y))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) |
(pow.f64 (cos.f64 y) 1) |
(cos.f64 y) |
(pow.f64 (sqrt.f64 (cos.f64 y)) 2) |
(cos.f64 y) |
(pow.f64 (cbrt.f64 (cos.f64 y)) 3) |
(cos.f64 y) |
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3) |
(cos.f64 y) |
(sqrt.f64 (pow.f64 (cos.f64 y) 2)) |
(fabs.f64 (cos.f64 y)) |
(log.f64 (exp.f64 (cos.f64 y))) |
(cos.f64 y) |
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y)))) |
(cos.f64 y) |
(cbrt.f64 (pow.f64 (cos.f64 y) 3)) |
(cos.f64 y) |
(expm1.f64 (log1p.f64 (cos.f64 y))) |
(cos.f64 y) |
(exp.f64 (log.f64 (cos.f64 y))) |
(cos.f64 y) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1)) |
(cos.f64 y) |
(log1p.f64 (expm1.f64 (cos.f64 y))) |
(cos.f64 y) |
Compiled 9361 to 2614 computations (72.1% saved)
19 alts after pruning (18 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 316 | 18 | 334 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 316 | 19 | 335 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.23% | (fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
| ▶ | 46.9% | (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) |
| 2.1% | (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3) | |
| 63.09% | (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))) | |
| 70.11% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2)))) | |
| 0.39% | (/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) | |
| ▶ | 53.05% | (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (*.f64 y z)) |
| 29.05% | (-.f64 (*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)) (*.f64 z (sin.f64 y))) | |
| 0.31% | (-.f64 (*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y))) | |
| 0.26% | (-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y))) | |
| 47.93% | (-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) | |
| ✓ | 0.23% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 38.89% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) | |
| 0.35% | (-.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (*.f64 z (sin.f64 y))) | |
| ▶ | 41.64% | (-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y))) |
| 23.84% | (-.f64 x (*.f64 z (sin.f64 y))) | |
| ▶ | 52.14% | (-.f64 x (*.f64 y z)) |
| 0.37% | (+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))) | |
| 57.79% | (*.f64 z (neg.f64 (sin.f64 y))) |
Compiled 654 to 404 computations (38.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.01% | (cos.f64 y) | |
| ✓ | 0.12% | (fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
| ✓ | 0.23% | (*.f64 z (neg.f64 (sin.f64 y))) |
Compiled 27 to 8 computations (70.4% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
| 0.0ms | z | @ | 0 | (*.f64 z (neg.f64 (sin.f64 y))) |
| 0.0ms | y | @ | inf | (*.f64 z (neg.f64 (sin.f64 y))) |
| 0.0ms | y | @ | -inf | (*.f64 z (neg.f64 (sin.f64 y))) |
| 0.0ms | x | @ | inf | (fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
| 1× | batch-egg-rewrite |
| 986× | *-commutative |
| 844× | sqrt-prod |
| 734× | unswap-sqr |
| 570× | swap-sqr |
| 408× | sqr-pow |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 42 |
| 1 | 238 | 34 |
| 2 | 2915 | 34 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z (neg.f64 (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z 0) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 z) 0) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 z) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (neg.f64 z)) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 0 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 0 (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (pow.f64 (sin.f64 y) 3)) (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 2)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 3)) (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z) (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 y) x) 0) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 y) x) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (-.f64 1 (*.f64 (cos.f64 y) x)))))) (#(struct:change 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(pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) 1) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z 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(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))) |
| 1× | egg-herbie |
| 1460× | associate-*r/ |
| 1314× | associate-*l/ |
| 980× | associate-+r+ |
| 918× | associate-/r/ |
| 844× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 248 | 5133 |
| 1 | 631 | 4899 |
| 2 | 3173 | 4899 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 0 (*.f64 z (sin.f64 y))) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) -1) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1) |
(+.f64 (*.f64 z 0) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (neg.f64 z) 0) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 0 z) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 0 (neg.f64 z)) (*.f64 z (sin.f64 y))) |
(-.f64 0 (*.f64 z (sin.f64 y))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1) |
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (sin.f64 y))) |
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 0 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 0 (*.f64 z (sin.f64 y)))))) |
(/.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)) (sin.f64 y)) |
(/.f64 (*.f64 z (pow.f64 (sin.f64 y) 3)) (pow.f64 (sin.f64 y) 2)) |
(/.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 2)) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 3)) (pow.f64 (sin.f64 y) 2)) |
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y)) |
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z) (pow.f64 (sin.f64 y) 2)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)))) |
(pow.f64 (*.f64 z (sin.f64 y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3) |
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) |
(fabs.f64 (*.f64 z (sin.f64 y))) |
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y))))) |
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))) |
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) |
(exp.f64 (log.f64 (*.f64 z (sin.f64 y)))) |
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) -1) |
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) 0) (*.f64 z (sin.f64 y))) |
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1) |
(-.f64 0 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (-.f64 1 (*.f64 (cos.f64 y) x))) |
(-.f64 (+.f64 (*.f64 (cos.f64 y) x) 0) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (*.f64 (cos.f64 y) x) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
(*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 1) |
(*.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) |
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)) |
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 z (sin.f64 y))))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) 1/6)) |
(*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))) (sqrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 4)) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) |
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 1) |
(/.f64 1 (/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)))) |
(/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) |
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) 1) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) |
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)) |
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 1)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 1)))) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))) |
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) |
(fabs.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) |
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) |
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 z y)) |
(*.f64 z (neg.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))) |
(fma.f64 -1 (*.f64 z y) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))) |
(*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))) |
(-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 z y)) |
(-.f64 (*.f64 z (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))) (*.f64 z y)) |
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))) |
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (fma.f64 -1 (*.f64 z y) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))))) |
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 z y))) |
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (-.f64 (*.f64 z (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))) (*.f64 z y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
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(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
Compiled 14 to 5 computations (64.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (fma.f64 -1/2 (*.f64 y y) 1) |
| ✓ | 4.69% | (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (*.f64 y z)) |
| ✓ | 6.36% | (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) |
Compiled 40 to 19 computations (52.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) |
| 0.0ms | y | @ | inf | (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) |
| 0.0ms | y | @ | 0 | (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) |
| 0.0ms | z | @ | 0 | (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (*.f64 y z)) |
| 0.0ms | x | @ | -inf | (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) |
| 1× | batch-egg-rewrite |
| 890× | distribute-rgt-in |
| 834× | distribute-lft-in |
| 582× | associate-*r/ |
| 482× | associate-*l/ |
| 334× | associate-+l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 69 |
| 1 | 270 | 69 |
| 2 | 3404 | 69 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) |
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (*.f64 y z)) |
(fma.f64 -1/2 (*.f64 y y) 1) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 -1/2 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (*.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) (sqrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3)) (-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (*.f64 (*.f64 -1/2 (*.f64 y y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1)) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3))) (-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (*.f64 (*.f64 -1/2 (*.f64 y y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3)) 1) (-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (*.f64 (*.f64 -1/2 (*.f64 y y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 y y) 1))))))) |
| 1× | egg-herbie |
| 1306× | +-commutative |
| 1106× | fma-def |
| 932× | associate-+l- |
| 746× | associate-+r- |
| 724× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 574 | 16782 |
| 1 | 1530 | 15620 |
| 2 | 6847 | 15620 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(*.f64 -1/2 (pow.f64 y 2)) |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(*.f64 -1/2 (pow.f64 y 2)) |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 x (*.f64 x (*.f64 -1/2 (*.f64 y y)))) |
(+.f64 x (*.f64 (*.f64 -1/2 (*.f64 y y)) x)) |
(+.f64 (*.f64 x (*.f64 -1/2 (*.f64 y y))) x) |
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) |
(+.f64 (*.f64 1 (*.f64 x (*.f64 -1/2 (*.f64 y y)))) x) |
(+.f64 (*.f64 1 (*.f64 (*.f64 -1/2 (*.f64 y y)) x)) x) |
(+.f64 (*.f64 x (*.f64 (*.f64 -1/2 (*.f64 y y)) 1)) x) |
(+.f64 (*.f64 (*.f64 x (*.f64 -1/2 (*.f64 y y))) 1) x) |
(+.f64 (*.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) 1) x) |
(+.f64 (*.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x))) 1) |
(-.f64 (+.f64 (*.f64 x (*.f64 -1/2 (*.f64 y y))) (exp.f64 (log1p.f64 x))) 1) |
(-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) (exp.f64 (log1p.f64 x))) 1) |
(/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1)) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) |
(/.f64 (*.f64 x (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3))) (-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (*.f64 (*.f64 -1/2 (*.f64 y y)) 1))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) x) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3)) x) (-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (*.f64 (*.f64 -1/2 (*.f64 y y)) 1))) |
(pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 1) |
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) 3) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2)) |
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (*.f64 y y) 1)) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)))) |
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x))) |
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x))) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (*.f64 y (neg.f64 z))) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0))) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (*.f64 (*.f64 y z) 0))) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (+.f64 (*.f64 y (neg.f64 z)) (*.f64 2 (*.f64 (*.f64 y z) 0)))) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (*.f64 2 (*.f64 (*.f64 y z) 0)))) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 (*.f64 y z) 0) 1))) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (*.f64 (*.f64 (*.f64 y z) 0) 1))) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (+.f64 (*.f64 y (neg.f64 z)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (+.f64 (*.f64 y (neg.f64 z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (fma.f64 (neg.f64 y) z (*.f64 y z)))) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (+.f64 (*.f64 y (neg.f64 z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (+.f64 (*.f64 y (neg.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (*.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) 1)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (*.f64 (*.f64 y z) 0)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (*.f64 2 (*.f64 (*.f64 y z) 0))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (*.f64 (*.f64 (*.f64 y z) 0) 1)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z))) |
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (pow.f64 (*.f64 y z) 2))) (sqrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))))) (sqrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3) (pow.f64 (*.f64 y z) 3))) (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) 2))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (*.f64 (*.f64 y z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (pow.f64 (*.f64 y z) 2))) (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) 2))) (cbrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2)) (*.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y z) 2))) (/.f64 1 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z)))) (+.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) 3) (pow.f64 (pow.f64 (*.f64 y z) 2) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z)))) (+.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2)) (*.f64 (pow.f64 (*.f64 y z) 2) (+.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3) (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3)) (*.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 y z) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (*.f64 (*.f64 y z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z)))))) (+.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3) (pow.f64 (*.f64 y z) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3) 3) (pow.f64 (pow.f64 (*.f64 y z) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (*.f64 (*.f64 y z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3) (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3)) (*.f64 (pow.f64 (*.f64 y z) 3) (+.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3) (pow.f64 (*.f64 y z) 3))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (pow.f64 (*.f64 y z) 2)) 1) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (pow.f64 (*.f64 y z) 2)) (sqrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z)))) (sqrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (pow.f64 (*.f64 y z) 2)) (*.f64 (cbrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z))) (cbrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z))))) (cbrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3) (pow.f64 (*.f64 y z) 3)) 1) (+.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (*.f64 (*.f64 y z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3) (pow.f64 (*.f64 y z) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (*.f64 (*.f64 y z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (*.f64 (*.f64 y z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3) (pow.f64 (*.f64 y z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (*.f64 (*.f64 y z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (*.f64 (*.f64 y z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (*.f64 (*.f64 y z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z)))))) |
(pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) 3) |
(pow.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) 3) 1/3) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (pow.f64 (*.f64 y z) 2)) (neg.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3) (pow.f64 (*.f64 y z) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (*.f64 (*.f64 y z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z))))))) |
(sqrt.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) 2)) |
(log.f64 (exp.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))))) |
(cbrt.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))))) |
(exp.f64 (log.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))))) |
(fma.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (*.f64 y (neg.f64 z))) |
(fma.f64 1 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (*.f64 (*.f64 y z) 0)) |
(fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) |
(fma.f64 x (fma.f64 -1/2 (*.f64 y y) 1) (*.f64 y (neg.f64 z))) |
(fma.f64 (sqrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) (sqrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) (*.f64 (*.f64 y z) 0)) |
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) (*.f64 y (neg.f64 z))) |
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) 2)) (cbrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) (*.f64 (*.f64 y z) 0)) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2)) (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) (*.f64 y (neg.f64 z))) |
(+.f64 1 (*.f64 -1/2 (*.f64 y y))) |
(+.f64 1 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1)) |
(+.f64 (*.f64 -1/2 (*.f64 y y)) 1) |
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1) 1) |
(+.f64 (*.f64 1 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1)) 1) |
(+.f64 (*.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1) 1) 1) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1))) 1) |
(*.f64 1 (fma.f64 -1/2 (*.f64 y y) 1)) |
(*.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1) |
(*.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) (sqrt.f64 (fma.f64 -1/2 (*.f64 y y) 1))) |
(*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1))) |
(/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3)) (-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (*.f64 (*.f64 -1/2 (*.f64 y y)) 1))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1)) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3))) (-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (*.f64 (*.f64 -1/2 (*.f64 y y)) 1))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3)) 1) (-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (*.f64 (*.f64 -1/2 (*.f64 y y)) 1))) |
(pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1) |
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 3) |
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 2)) |
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 y y) 1))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 y y) 1)))) |
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1))) |
(exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 y y) 1))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 y y) 1))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/2 (*.f64 x (*.f64 y y))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/2 (*.f64 x (*.f64 y y))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/2 (*.f64 x (*.f64 y y))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 y (neg.f64 z) (*.f64 -1/2 (*.f64 x (*.f64 y y)))) |
(-.f64 (*.f64 -1/2 (*.f64 x (*.f64 y y))) (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/2 (*.f64 x (*.f64 y y))) |
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1 |
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(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (+.f64 (*.f64 y (neg.f64 z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (fma.f64 (neg.f64 y) z (*.f64 y z)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (+.f64 (*.f64 y (neg.f64 z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z))))) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z))))) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (+.f64 (*.f64 y (neg.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))) |
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (*.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) 1)) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (*.f64 (*.f64 y z) 0)) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (*.f64 2 (*.f64 (*.f64 y z) 0))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (*.f64 (*.f64 (*.f64 y z) 0) 1)) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (fma.f64 (neg.f64 y) z (*.f64 y z))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z))))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (*.f64 2 (*.f64 (*.f64 y z) 0)) (*.f64 (*.f64 y z) 0))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (*.f64 (*.f64 (*.f64 y z) 0) 1) (*.f64 (*.f64 y z) 0))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)) (*.f64 (*.f64 y z) 0))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) (*.f64 (*.f64 y z) 0))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (*.f64 (*.f64 y z) 0))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z))))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (*.f64 (*.f64 y z) 0))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (*.f64 (*.f64 y z) 0) (*.f64 2 (*.f64 (*.f64 y z) 0)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (*.f64 2 (*.f64 (*.f64 y z) 0)) (*.f64 2 (*.f64 (*.f64 y z) 0)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (*.f64 (*.f64 (*.f64 y z) 0) 1) (*.f64 2 (*.f64 (*.f64 y z) 0)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)) (*.f64 2 (*.f64 (*.f64 y z) 0)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) (*.f64 2 (*.f64 (*.f64 y z) 0)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (*.f64 2 (*.f64 (*.f64 y z) 0)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z))))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (*.f64 2 (*.f64 (*.f64 y z) 0)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (*.f64 (*.f64 y z) 0) (*.f64 (*.f64 (*.f64 y z) 0) 1))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (*.f64 2 (*.f64 (*.f64 y z) 0)) (*.f64 (*.f64 (*.f64 y z) 0) 1))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (*.f64 (*.f64 (*.f64 y z) 0) 1) (*.f64 (*.f64 (*.f64 y z) 0) 1))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)) (*.f64 (*.f64 (*.f64 y z) 0) 1))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) (*.f64 (*.f64 (*.f64 y z) 0) 1))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (*.f64 (*.f64 (*.f64 y z) 0) 1))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z))))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (*.f64 (*.f64 (*.f64 y z) 0) 1))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (*.f64 (*.f64 y z) 0) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (*.f64 2 (*.f64 (*.f64 y z) 0)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (*.f64 (*.f64 (*.f64 y z) 0) 1) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z))))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (*.f64 (*.f64 y z) 0) (fma.f64 (neg.f64 y) z (*.f64 y z)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (*.f64 2 (*.f64 (*.f64 y z) 0)) (fma.f64 (neg.f64 y) z (*.f64 y z)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (*.f64 (*.f64 (*.f64 y z) 0) 1) (fma.f64 (neg.f64 y) z (*.f64 y z)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z))))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (*.f64 (*.f64 y z) 0) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z))))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (*.f64 2 (*.f64 (*.f64 y z) 0)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z))))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (*.f64 (*.f64 (*.f64 y z) 0) 1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z))))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z))))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z))))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(+.f64 (fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (*.f64 (*.f64 y z) 0) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (*.f64 2 (*.f64 (*.f64 y z) 0)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (*.f64 (*.f64 (*.f64 y z) 0) 1) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(+.f64 (fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(fma.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (*.f64 1 (*.f64 (*.f64 (*.f64 y z) 0) 1))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (*.f64 1 (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (*.f64 1 (fma.f64 (neg.f64 y) z (*.f64 y z)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z))))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (*.f64 (*.f64 2 (*.f64 (*.f64 y z) 0)) 1)) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (*.f64 (*.f64 (*.f64 (*.f64 y z) 0) 1) 1)) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (*.f64 (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)) 1)) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
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(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
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(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z))))) |
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(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
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(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
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(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
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(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
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(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
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(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
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(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
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(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))) |
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(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (*.f64 (*.f64 y z) 0) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
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(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (*.f64 2 (*.f64 (*.f64 y z) 0)) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
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(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (*.f64 x (*.f64 -1/2 (*.f64 y y))) (+.f64 x (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (*.f64 x (*.f64 -1/2 (*.f64 y y))) (-.f64 x (*.f64 y z))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (*.f64 x (*.f64 -1/2 (*.f64 y y))) (-.f64 x (-.f64 (*.f64 y z) (*.f64 (*.f64 y z) 0)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (*.f64 (*.f64 (*.f64 y z) 0) 1) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) (+.f64 x (*.f64 y (neg.f64 z)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) (+.f64 x (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) (-.f64 x (*.f64 y z))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) (-.f64 x (-.f64 (*.f64 y z) (*.f64 (*.f64 y z) 0)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
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(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
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(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z))))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) |
(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))) |
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(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
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(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
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(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
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(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
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(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(+.f64 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (exp.f64 (log1p.f64 (*.f64 y z)))) 1) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) 1)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (expm1.f64 (log1p.f64 (*.f64 y z)))) |
(*.f64 1 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) |
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(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(*.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) 1) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
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(*.f64 (sqrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) (sqrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(*.f64 (cbrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) 2))) |
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(*.f64 (cbrt.f64 (-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) 2)) (cbrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))))) |
(*.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))) (cbrt.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) 2))) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) 2))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z)))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 (*.f64 y z) (fma.f64 x (fma.f64 -1/2 (*.f64 y y) 1) (*.f64 y z)) (pow.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) 2))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3) (pow.f64 (*.f64 y z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (*.f64 (*.f64 y z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (*.f64 (*.f64 y z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (*.f64 (*.f64 y z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z)))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) 2) (*.f64 (*.f64 y z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 (*.f64 y z) (fma.f64 x (fma.f64 -1/2 (*.f64 y y) 1) (*.f64 y z)) (pow.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) 2))) |
(pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) 1) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(pow.f64 (sqrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) 2) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(pow.f64 (cbrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) 3) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(pow.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) 3) 1/3) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (pow.f64 (*.f64 y z) 2)) (neg.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z))))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3) (pow.f64 (*.f64 y z) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2) (*.f64 (*.f64 y z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) 2) (*.f64 (*.f64 y z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 (*.f64 y z) (fma.f64 x (fma.f64 -1/2 (*.f64 y y) 1) (*.f64 y z)) (pow.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) 2))) |
(sqrt.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) 2)) |
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) 2)) |
(fabs.f64 (-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))) |
(log.f64 (exp.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(cbrt.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) 3)) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(expm1.f64 (log1p.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(exp.f64 (log.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) 1)) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(log1p.f64 (expm1.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(fma.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (*.f64 y (neg.f64 z))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(fma.f64 1 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (*.f64 (*.f64 y z) 0)) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(fma.f64 x (fma.f64 -1/2 (*.f64 y y) 1) (*.f64 y (neg.f64 z))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(fma.f64 (sqrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) (sqrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) (*.f64 (*.f64 y z) 0)) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) (*.f64 y (neg.f64 z))) |
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) |
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) 2)) (cbrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) (*.f64 (*.f64 y z) 0)) |
(*.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))) (cbrt.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z)) 2))) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) 2))) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2)) (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) (*.f64 y (neg.f64 z))) |
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) 2)) (cbrt.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)) (*.f64 y (neg.f64 z))) |
(-.f64 (*.f64 (cbrt.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) 2))) (*.f64 y z)) |
(+.f64 1 (*.f64 -1/2 (*.f64 y y))) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(+.f64 1 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1)) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(+.f64 (*.f64 -1/2 (*.f64 y y)) 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1) 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(+.f64 (*.f64 1 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1)) 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(+.f64 (*.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1) 1) 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1))) 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(*.f64 1 (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(*.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(*.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) (sqrt.f64 (fma.f64 -1/2 (*.f64 y y) 1))) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2)) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1))) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) |
(/.f64 (+.f64 (*.f64 1/4 (*.f64 (*.f64 y y) (*.f64 y y))) -1) (fma.f64 -1/2 (*.f64 y y) -1)) |
(/.f64 (fma.f64 1/4 (pow.f64 y 4) -1) (fma.f64 -1/2 (*.f64 y y) -1)) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3)) (-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (*.f64 (*.f64 -1/2 (*.f64 y y)) 1))) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3)) (+.f64 (*.f64 1/4 (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 1 (*.f64 -1/2 (*.f64 y y))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 y y) 3) 1) (+.f64 (fma.f64 1/4 (pow.f64 y 4) 1) (*.f64 (*.f64 y y) 1/2))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1)) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) |
(/.f64 (+.f64 (*.f64 1/4 (*.f64 (*.f64 y y) (*.f64 y y))) -1) (fma.f64 -1/2 (*.f64 y y) -1)) |
(/.f64 (fma.f64 1/4 (pow.f64 y 4) -1) (fma.f64 -1/2 (*.f64 y y) -1)) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3))) (-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (*.f64 (*.f64 -1/2 (*.f64 y y)) 1))) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3)) (+.f64 (*.f64 1/4 (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 1 (*.f64 -1/2 (*.f64 y y))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 y y) 3) 1) (+.f64 (fma.f64 1/4 (pow.f64 y 4) 1) (*.f64 (*.f64 y y) 1/2))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) |
(/.f64 (+.f64 (*.f64 1/4 (*.f64 (*.f64 y y) (*.f64 y y))) -1) (fma.f64 -1/2 (*.f64 y y) -1)) |
(/.f64 (fma.f64 1/4 (pow.f64 y 4) -1) (fma.f64 -1/2 (*.f64 y y) -1)) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3)) 1) (-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (*.f64 (*.f64 -1/2 (*.f64 y y)) 1))) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3)) (+.f64 (*.f64 1/4 (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 1 (*.f64 -1/2 (*.f64 y y))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 y y) 3) 1) (+.f64 (fma.f64 1/4 (pow.f64 y 4) 1) (*.f64 (*.f64 y y) 1/2))) |
(pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 3) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 3) 1/3) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 2)) |
(fabs.f64 (fma.f64 -1/2 (*.f64 y y) 1)) |
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 y y) 1))) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 y y) 1)))) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 3)) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1))) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 y y) 1))) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 1)) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 y y) 1))) |
(fma.f64 -1/2 (*.f64 y y) 1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.21% | (*.f64 x (cos.f64 y)) | |
| ✓ | 0.22% | (pow.f64 (*.f64 x (cos.f64 y)) 3) |
| 0.23% | (*.f64 z (sin.f64 y)) | |
| ✓ | 61.07% | (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) |
Compiled 44 to 17 computations (61.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) |
| 2.0ms | y | @ | 0 | (pow.f64 (*.f64 x (cos.f64 y)) 3) |
| 1.0ms | y | @ | -inf | (pow.f64 (*.f64 x (cos.f64 y)) 3) |
| 1.0ms | y | @ | inf | (pow.f64 (*.f64 x (cos.f64 y)) 3) |
| 0.0ms | x | @ | -inf | (pow.f64 (*.f64 x (cos.f64 y)) 3) |
| 1× | batch-egg-rewrite |
| 1668× | add-sqr-sqrt |
| 1638× | *-un-lft-identity |
| 1538× | add-cube-cbrt |
| 1522× | add-cbrt-cube |
| 176× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 205 | 28 |
| 2 | 2196 | 28 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) |
(pow.f64 (*.f64 x (cos.f64 y)) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (cos.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (cos.f64 y) (pow.f64 (*.f64 x (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) (*.f64 x (pow.f64 (*.f64 x (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) (pow.f64 (*.f64 x (cos.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (cos.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (sqrt.f64 (*.f64 x (cos.f64 y)))) (sqrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)) (cbrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 3) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))))))) |
| 1× | egg-herbie |
| 1196× | fma-def |
| 972× | distribute-lft-out |
| 906× | *-commutative |
| 738× | distribute-lft-neg-in |
| 670× | distribute-lft-in |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 1871 |
| 1 | 456 | 1847 |
| 2 | 1870 | 1793 |
| 3 | 6057 | 1771 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x))) |
x |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3)) |
(+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 3)))) (pow.f64 y 4)) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3))) |
(+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 3)))) (pow.f64 y 4)) (+.f64 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2))) x)) (+.f64 (*.f64 (+.f64 (*.f64 -1/360 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 2))) x) (*.f64 -1/720 (pow.f64 x 3)))))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3)))) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (*.f64 x (cos.f64 y)) 1) |
(*.f64 1 (*.f64 x (cos.f64 y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x)) |
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y))) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x)) |
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)) |
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y))) |
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) |
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 x (cos.f64 y)))) |
(*.f64 (pow.f64 1 1/3) (*.f64 x (cos.f64 y))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3)) |
(pow.f64 (*.f64 x (cos.f64 y)) 1) |
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3) |
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) |
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2)) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y))))) |
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) |
(exp.f64 (log.f64 (*.f64 x (cos.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (cos.f64 y)))) 1/3)) |
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))) 1) |
(*.f64 x (*.f64 (cos.f64 y) (pow.f64 (*.f64 x (cos.f64 y)) 2))) |
(*.f64 (cos.f64 y) (*.f64 x (pow.f64 (*.f64 x (cos.f64 y)) 2))) |
(*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 2)) |
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1) |
(*.f64 1 (pow.f64 (*.f64 x (cos.f64 y)) 3)) |
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) (pow.f64 (*.f64 x (cos.f64 y)) 3/2)) |
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2))) |
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 x (cos.f64 y))) |
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) x) (cos.f64 y)) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (cos.f64 y)) x) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1) (*.f64 x (cos.f64 y))) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (sqrt.f64 (*.f64 x (cos.f64 y)))) (sqrt.f64 (*.f64 x (cos.f64 y)))) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)) (cbrt.f64 (*.f64 x (cos.f64 y)))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 3) (*.f64 x (cos.f64 y))) |
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6)) |
(log.f64 (exp.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)))) |
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))) |
(exp.f64 (*.f64 3 (log.f64 (*.f64 x (cos.f64 y))))) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (cos.f64 y)))) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))) |
| Outputs |
|---|
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x))) |
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x))) |
(*.f64 (*.f64 (cos.f64 y) x) (neg.f64 (cbrt.f64 -1))) |
(*.f64 (cos.f64 y) (*.f64 x (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x))) |
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x))) |
(*.f64 (*.f64 (cos.f64 y) x) (neg.f64 (cbrt.f64 -1))) |
(*.f64 (cos.f64 y) (*.f64 x (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x))) |
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x))) |
(*.f64 (*.f64 (cos.f64 y) x) (neg.f64 (cbrt.f64 -1))) |
(*.f64 (cos.f64 y) (*.f64 x (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x))) |
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x))) |
(*.f64 (*.f64 (cos.f64 y) x) (neg.f64 (cbrt.f64 -1))) |
(*.f64 (cos.f64 y) (*.f64 x (neg.f64 (cbrt.f64 -1)))) |
x |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)) |
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) |
(fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 y -1/2))) x) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))) |
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))) |
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))) |
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (*.f64 1/24 (pow.f64 y 4))) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(*.f64 x (+.f64 (fma.f64 -1/2 (*.f64 y y) 1) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 1/24 (pow.f64 y 4))))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(pow.f64 x 3) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3)) |
(fma.f64 (*.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3)) |
(fma.f64 y (*.f64 y (*.f64 (pow.f64 x 3) -3/2)) (pow.f64 x 3)) |
(*.f64 (pow.f64 x 3) (+.f64 1 (*.f64 (*.f64 y y) -3/2))) |
(+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 3)))) (pow.f64 y 4)) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3))) |
(fma.f64 (fma.f64 x (*.f64 (*.f64 x x) 1/3) (*.f64 (pow.f64 x 3) 13/24)) (pow.f64 y 4) (fma.f64 (*.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3))) |
(fma.f64 (pow.f64 y 4) (fma.f64 (pow.f64 x 3) 13/24 (*.f64 (pow.f64 x 3) 1/3)) (fma.f64 (*.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3))) |
(fma.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 3) 7/8) (fma.f64 y (*.f64 y (*.f64 (pow.f64 x 3) -3/2)) (pow.f64 x 3))) |
(fma.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 3) 7/8) (*.f64 (pow.f64 x 3) (+.f64 1 (*.f64 (*.f64 y y) -3/2)))) |
(+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 3)))) (pow.f64 y 4)) (+.f64 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2))) x)) (+.f64 (*.f64 (+.f64 (*.f64 -1/360 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 2))) x) (*.f64 -1/720 (pow.f64 x 3)))))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3)))) |
(fma.f64 (fma.f64 x (*.f64 (*.f64 x x) 1/3) (*.f64 (pow.f64 x 3) 13/24)) (pow.f64 y 4) (fma.f64 (pow.f64 y 6) (fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x (*.f64 (*.f64 x x) 1/3)) (fma.f64 (*.f64 (*.f64 x x) -2/45) x (*.f64 -1/720 (pow.f64 x 3))))) (fma.f64 (*.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3)))) |
(fma.f64 (pow.f64 y 4) (fma.f64 (pow.f64 x 3) 13/24 (*.f64 (pow.f64 x 3) 1/3)) (fma.f64 (pow.f64 y 6) (fma.f64 (pow.f64 x 3) -1/24 (fma.f64 -1/2 (*.f64 (pow.f64 x 3) 1/3) (fma.f64 -1/720 (pow.f64 x 3) (*.f64 (pow.f64 x 3) -2/45)))) (fma.f64 (*.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3)))) |
(fma.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 3) 7/8) (fma.f64 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 (pow.f64 x 3) 1/3) (fma.f64 (pow.f64 x 3) -1/24 (*.f64 (pow.f64 x 3) -11/240))) (fma.f64 y (*.f64 y (*.f64 (pow.f64 x 3) -3/2)) (pow.f64 x 3)))) |
(fma.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 3) 7/8) (fma.f64 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 (pow.f64 x 3) 1/3) (*.f64 (pow.f64 x 3) -7/80)) (*.f64 (pow.f64 x 3) (+.f64 1 (*.f64 (*.f64 y y) -3/2))))) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (*.f64 x (cos.f64 y)) 1) |
(*.f64 (cos.f64 y) x) |
(*.f64 1 (*.f64 x (cos.f64 y))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y)))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1/3)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y)))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 x (cos.f64 y)))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (pow.f64 1 1/3) (*.f64 x (cos.f64 y))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3)) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2))) |
(pow.f64 (*.f64 x (cos.f64 y)) 1) |
(*.f64 (cos.f64 y) x) |
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3) |
(*.f64 (cos.f64 y) x) |
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2) |
(*.f64 (cos.f64 y) x) |
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) |
(*.f64 (cos.f64 y) x) |
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2)) |
(*.f64 (cos.f64 y) x) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x)) |
(*.f64 (cos.f64 y) x) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y))))) |
(*.f64 (cos.f64 y) x) |
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) |
(*.f64 (cos.f64 y) x) |
(exp.f64 (log.f64 (*.f64 x (cos.f64 y)))) |
(*.f64 (cos.f64 y) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1)) |
(*.f64 (cos.f64 y) x) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (cos.f64 y)))) 1/3)) |
(*.f64 (cos.f64 y) x) |
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y)))) |
(*.f64 (cos.f64 y) x) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))) 1) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 x (*.f64 (cos.f64 y) (pow.f64 (*.f64 x (cos.f64 y)) 2))) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (cos.f64 y) (*.f64 x (pow.f64 (*.f64 x (cos.f64 y)) 2))) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 2)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 1 (pow.f64 (*.f64 x (cos.f64 y)) 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) (pow.f64 (*.f64 x (cos.f64 y)) 3/2)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2))) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2))) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 x (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) x) (cos.f64 y)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (cos.f64 y)) x) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1) (*.f64 x (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (sqrt.f64 (*.f64 x (cos.f64 y)))) (sqrt.f64 (*.f64 x (cos.f64 y)))) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)) (cbrt.f64 (*.f64 x (cos.f64 y)))) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 3) (*.f64 x (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(log.f64 (exp.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)))) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 3)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(exp.f64 (*.f64 3 (log.f64 (*.f64 x (cos.f64 y))))) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (cos.f64 y)))) 1)) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))) |
(pow.f64 (*.f64 (cos.f64 y) x) 3) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.03% | (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) |
| 0.21% | (*.f64 x (cos.f64 y)) | |
| 0.23% | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.36% | (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) |
Compiled 50 to 12 computations (76% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) |
| 1.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) |
| 1.0ms | z | @ | inf | (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) |
| 1.0ms | z | @ | 0 | (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) |
| 1.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) |
| 1× | batch-egg-rewrite |
| 860× | swap-sqr |
| 758× | distribute-rgt-in |
| 702× | distribute-lft-in |
| 598× | associate-*r/ |
| 508× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 58 |
| 1 | 297 | 58 |
| 2 | 3521 | 58 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) |
(sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) |
| Outputs |
|---|
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y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))))) |
| 1× | egg-herbie |
| 1096× | associate-+l+ |
| 924× | associate-*r* |
| 846× | associate-*l* |
| 820× | associate-+r+ |
| 754× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 762 | 21354 |
| 1 | 2272 | 20258 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))) (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))) (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (*.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))))) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) x)) (*.f64 -1/2 x)) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/6 z) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) x)) (*.f64 -1/2 x)) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) x))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x))) (*.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x)))) (pow.f64 z 2)) (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (*.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (pow.f64 z 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x))) (*.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x)))) (pow.f64 z 2)) (*.f64 (cos.f64 y) x)))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (+.f64 (*.f64 1/16 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5)))))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))))) |
(sqrt.f64 x) |
(+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x))))) |
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(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (sqrt.f64 (/.f64 1 x)))) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x))))))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (*.f64 (cos.f64 y) x)) |
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(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 3)) 1) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 3)) 1) (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) (-.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (*.f64 x (cos.f64 y))) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (*.f64 z (sin.f64 y)))) (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (*.f64 x (cos.f64 y))) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) |
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)) |
(log.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) 0)) |
(fma.f64 1 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) |
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) 0)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) 1) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1) |
(*.f64 1 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4)) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/2)) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/2) |
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1) |
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 3) |
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
| Outputs |
|---|
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))) (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))) 0) (*.f64 x x) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 0) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))) (*.f64 x x) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))) (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (*.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))))) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))) 0) (*.f64 x x) (fma.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) 0) (pow.f64 x 3) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 0) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) 0) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2))))) (pow.f64 x 3) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 z y) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) x)) (*.f64 -1/2 x)) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) x)) |
(fma.f64 -1 (*.f64 z y) (fma.f64 (-.f64 (fma.f64 1/4 (/.f64 (*.f64 z z) x) (*.f64 x -1/2)) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (*.f64 y y) x)) |
(fma.f64 -1 (*.f64 z y) (fma.f64 (-.f64 (fma.f64 1/4 (/.f64 z (/.f64 x z)) (*.f64 x -1/2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) 2)) (*.f64 y y) x)) |
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(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
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(fma.f64 -1 (*.f64 z (sin.f64 y)) (fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x)) 0) (*.f64 z z) (*.f64 (cos.f64 y) x))) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 0) (*.f64 (cos.f64 y) x)) (*.f64 z z) (*.f64 (cos.f64 y) x))) |
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(fma.f64 -1 (*.f64 z (sin.f64 y)) (fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))) 0) (pow.f64 z 3) (fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x)) 0) (*.f64 z z) (*.f64 (cos.f64 y) x)))) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))) 0) (pow.f64 z 3) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 0) (*.f64 (cos.f64 y) x)) (*.f64 z z) (*.f64 (cos.f64 y) x)))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))) |
(fma.f64 1/2 (*.f64 (/.f64 (cos.f64 y) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))) |
(fma.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y))) (cos.f64 y)) (/.f64 (sqrt.f64 -1) x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))))) |
(fma.f64 1/2 (*.f64 (/.f64 (cos.f64 y) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y))))) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))))) |
(fma.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y))) (cos.f64 y)) (/.f64 (sqrt.f64 -1) x)) (fma.f64 -1/8 (*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 x x)) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (+.f64 (*.f64 1/16 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5)))))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))))) |
(fma.f64 1/2 (*.f64 (/.f64 (cos.f64 y) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y))))) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5))))) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))))) |
(fma.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y))) (cos.f64 y)) (/.f64 (sqrt.f64 -1) x)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5))))) (fma.f64 -1/8 (*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 x x)) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))))) |
(sqrt.f64 x) |
(+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x))))) |
(+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 z y) (sqrt.f64 (/.f64 1 x))))) |
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (*.f64 z y) -1/2))) |
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)))) (+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 z y) (sqrt.f64 (/.f64 1 x)))))) |
(fma.f64 1/2 (*.f64 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) 2)) (*.f64 y (*.f64 y (sqrt.f64 (/.f64 1 x))))) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (*.f64 z y) -1/2)))) |
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (sqrt.f64 (/.f64 1 x)))) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x))))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)))) (+.f64 (sqrt.f64 x) (*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (pow.f64 y 3) (fma.f64 -1/6 z (*.f64 -1/2 (/.f64 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (/.f64 x z)))))) (*.f64 (*.f64 z y) (sqrt.f64 (/.f64 1 x))))))) |
(fma.f64 1/2 (*.f64 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) 2)) (*.f64 y (*.f64 y (sqrt.f64 (/.f64 1 x))))) (+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 3) (fma.f64 -1/6 z (*.f64 -1/2 (/.f64 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) 2)) (/.f64 x z))))) (*.f64 z y)))))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(sqrt.f64 (*.f64 (cos.f64 y) x)) |
(+.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x)))))) |
(+.f64 (*.f64 -1/2 (*.f64 z (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x)))))) (sqrt.f64 (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 z (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 (/.f64 1 x) (cos.f64 y)))) -1/2)) (sqrt.f64 (*.f64 (cos.f64 y) x))) |
(+.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))) (*.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x))))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 (cos.f64 y) x) 3)))) (*.f64 -1/2 (*.f64 z (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x))))))) (sqrt.f64 (*.f64 (cos.f64 y) x))) |
(+.f64 (fma.f64 -1/8 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z z) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 (cos.f64 y) x) 3))))) (*.f64 z (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 (/.f64 1 x) (cos.f64 y)))) -1/2))) (sqrt.f64 (*.f64 (cos.f64 y) x))) |
(+.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x))))) (*.f64 -1/16 (*.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5))))))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 (cos.f64 y) x) 3)))) (fma.f64 -1/2 (*.f64 z (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x))))) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5)))) (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (sqrt.f64 (*.f64 (cos.f64 y) x))) |
(+.f64 (fma.f64 -1/8 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z z) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 (cos.f64 y) x) 3))))) (fma.f64 -1/2 (*.f64 z (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 (/.f64 1 x) (cos.f64 y))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5)))) (*.f64 -1/16 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (sqrt.f64 (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (*.f64 z (sin.f64 y)) 0))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (*.f64 z (sin.f64 y)) 0)) (*.f64 (*.f64 z (sin.f64 y)) 0))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
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(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 z (neg.f64 (sin.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) 1) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(*.f64 1 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4)) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (/.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (/.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))) |
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/2) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) 2) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 3) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3/2)) |
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3/2)) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/2)) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1)) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
Compiled 32840 to 12263 computations (62.7% saved)
33 alts after pruning (29 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1157 | 20 | 1177 |
| Fresh | 4 | 9 | 13 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 1163 | 33 | 1196 |
| Status | Error | Program |
|---|---|---|
| 23.4% | (fma.f64 (cos.f64 y) x (/.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 3)) (pow.f64 (sin.f64 y) 2))) | |
| 3.47% | (fma.f64 (cos.f64 y) x (/.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 2)) (sin.f64 y))) | |
| ✓ | 0.23% | (fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
| 61.99% | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) | |
| 68.11% | (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2) | |
| 64.15% | (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3/2)) 2) | |
| 2.1% | (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3) | |
| 70.57% | (/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) | |
| 72.38% | (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))) | |
| 0.39% | (/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) | |
| 53.28% | (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) x) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) (*.f64 y z)) | |
| 53.04% | (-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) (*.f64 y z)) | |
| 53.23% | (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) x) (*.f64 y z)) | |
| 53.05% | (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) (*.f64 y z)) | |
| ▶ | 56.46% | (-.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y))) |
| 86.53% | (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) (*.f64 y z)) | |
| 29.05% | (-.f64 (*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)) (*.f64 z (sin.f64 y))) | |
| 0.31% | (-.f64 (*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y))) | |
| ▶ | 0.26% | (-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
| 47.93% | (-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) | |
| ✓ | 0.23% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0.35% | (-.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (*.f64 z (sin.f64 y))) | |
| ✓ | 41.64% | (-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y))) |
| ▶ | 69.84% | (-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 y z)) |
| 23.84% | (-.f64 x (*.f64 z (sin.f64 y))) | |
| ✓ | 52.14% | (-.f64 x (*.f64 y z)) |
| 48.06% | (+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))) | |
| 0.37% | (+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))) | |
| 47.03% | (*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) (*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) | |
| ▶ | 41.3% | (*.f64 (cos.f64 y) x) |
| 57.79% | (*.f64 z (neg.f64 (sin.f64 y))) | |
| ▶ | 85.69% | (*.f64 y (neg.f64 z)) |
| 63.61% | x |
Compiled 1101 to 671 computations (39.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.21% | (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) |
| 0.23% | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.26% | (expm1.f64 (log1p.f64 (cos.f64 y))) |
| ✓ | 0.49% | (log1p.f64 (cos.f64 y)) |
Compiled 38 to 10 computations (73.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 62.0ms | y | @ | inf | (log1p.f64 (cos.f64 y)) |
| 11.0ms | y | @ | -inf | (log1p.f64 (cos.f64 y)) |
| 0.0ms | y | @ | 0 | (log1p.f64 (cos.f64 y)) |
| 0.0ms | y | @ | 0 | (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) |
| 0.0ms | y | @ | 0 | (expm1.f64 (log1p.f64 (cos.f64 y))) |
| 1× | batch-egg-rewrite |
| 1448× | add-sqr-sqrt |
| 1436× | *-un-lft-identity |
| 1324× | add-cube-cbrt |
| 1304× | add-cbrt-cube |
| 1288× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 173 | 25 |
| 2 | 1815 | 25 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (cos.f64 y)) |
(expm1.f64 (log1p.f64 (cos.f64 y))) |
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) (sqrt.f64 (log1p.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2) (cbrt.f64 (log1p.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (cos.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 y))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) 1) (+.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x))))))) |
| 1× | egg-herbie |
| 960× | unswap-sqr |
| 924× | fma-def |
| 710× | associate-*r/ |
| 666× | +-commutative |
| 616× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 1106 |
| 1 | 321 | 1094 |
| 2 | 1434 | 1066 |
| 3 | 5266 | 1066 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (log.f64 2)) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (*.f64 -1/96 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/1440 (pow.f64 y 6)) (*.f64 -1/96 (pow.f64 y 4))))) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log.f64 (+.f64 1 (cos.f64 y))) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
x |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(-.f64 (+.f64 1 (log1p.f64 (cos.f64 y))) 1) |
(*.f64 (log1p.f64 (cos.f64 y)) 1) |
(*.f64 1 (log1p.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) (sqrt.f64 (log1p.f64 (cos.f64 y)))) |
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2) (cbrt.f64 (log1p.f64 (cos.f64 y)))) |
(pow.f64 (log1p.f64 (cos.f64 y)) 1) |
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) 2) |
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 3) |
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 2)) |
(log.f64 (+.f64 (cos.f64 y) 1)) |
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 y)))) |
(exp.f64 (log.f64 (log1p.f64 (cos.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 y))) 1)) |
(+.f64 (+.f64 (cos.f64 y) 1) -1) |
(-.f64 (+.f64 (cos.f64 y) 1) 1) |
(*.f64 (cos.f64 y) 1) |
(*.f64 1 (cos.f64 y)) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1)) |
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) 1) (+.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) 1) 1)))) |
(pow.f64 (cos.f64 y) 1) |
(pow.f64 (sqrt.f64 (cos.f64 y)) 2) |
(pow.f64 (cbrt.f64 (cos.f64 y)) 3) |
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3) |
(sqrt.f64 (pow.f64 (cos.f64 y) 2)) |
(log.f64 (exp.f64 (cos.f64 y))) |
(cbrt.f64 (pow.f64 (cos.f64 y) 3)) |
(cos.f64 y) |
(exp.f64 (log.f64 (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1)) |
(log1p.f64 (expm1.f64 (cos.f64 y))) |
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1) |
(pow.f64 (*.f64 (cos.f64 y) x) 1) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y))) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x))) |
| Outputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (log.f64 2)) |
(fma.f64 -1/4 (*.f64 y y) (log.f64 2)) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (*.f64 -1/96 (pow.f64 y 4)))) |
(+.f64 (fma.f64 -1/4 (*.f64 y y) (log.f64 2)) (*.f64 -1/96 (pow.f64 y 4))) |
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) (log.f64 2))) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/1440 (pow.f64 y 6)) (*.f64 -1/96 (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/4 (*.f64 y y) (log.f64 2)) (fma.f64 -1/1440 (pow.f64 y 6) (*.f64 -1/96 (pow.f64 y 4)))) |
(+.f64 (fma.f64 -1/4 (*.f64 y y) (log.f64 2)) (fma.f64 -1/96 (pow.f64 y 4) (*.f64 -1/1440 (pow.f64 y 6)))) |
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) (fma.f64 -1/1440 (pow.f64 y 6) (log.f64 2)))) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log1p.f64 (cos.f64 y)) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log1p.f64 (cos.f64 y)) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log1p.f64 (cos.f64 y)) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log1p.f64 (cos.f64 y)) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log1p.f64 (cos.f64 y)) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log1p.f64 (cos.f64 y)) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log1p.f64 (cos.f64 y)) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log1p.f64 (cos.f64 y)) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (*.f64 (*.f64 y y) -1/2)) |
(fma.f64 (*.f64 y y) -1/2 1) |
(fma.f64 y (*.f64 y -1/2) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/24))) |
(+.f64 (fma.f64 (*.f64 y y) -1/2 1) (*.f64 (pow.f64 y 4) 1/24)) |
(fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 1)) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/24)))) |
(+.f64 (fma.f64 (*.f64 y y) -1/2 (*.f64 (pow.f64 y 4) 1/24)) (fma.f64 (pow.f64 y 6) -1/720 1)) |
(fma.f64 (pow.f64 y 6) -1/720 (fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 1))) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
x |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) x) x) |
(*.f64 (fma.f64 (*.f64 y y) -1/2 1) x) |
(fma.f64 (*.f64 y y) (*.f64 -1/2 x) x) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(fma.f64 1/24 (*.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (*.f64 (*.f64 y y) x) x)) |
(+.f64 x (*.f64 x (fma.f64 (*.f64 y y) -1/2 (*.f64 (pow.f64 y 4) 1/24)))) |
(*.f64 x (fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 1))) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))) |
(fma.f64 -1/720 (*.f64 (pow.f64 y 6) x) (fma.f64 1/24 (*.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (*.f64 (*.f64 y y) x) x))) |
(fma.f64 -1/720 (*.f64 (pow.f64 y 6) x) (+.f64 x (*.f64 x (fma.f64 (*.f64 y y) -1/2 (*.f64 (pow.f64 y 4) 1/24))))) |
(+.f64 x (*.f64 x (fma.f64 (pow.f64 y 6) -1/720 (fma.f64 y (*.f64 y -1/2) (*.f64 (pow.f64 y 4) 1/24))))) |
(+.f64 x (*.f64 x (fma.f64 (pow.f64 y 6) -1/720 (fma.f64 (pow.f64 y 4) 1/24 (*.f64 y (*.f64 y -1/2)))))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(-.f64 (+.f64 1 (log1p.f64 (cos.f64 y))) 1) |
(log1p.f64 (cos.f64 y)) |
(*.f64 (log1p.f64 (cos.f64 y)) 1) |
(log1p.f64 (cos.f64 y)) |
(*.f64 1 (log1p.f64 (cos.f64 y))) |
(log1p.f64 (cos.f64 y)) |
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) (sqrt.f64 (log1p.f64 (cos.f64 y)))) |
(log1p.f64 (cos.f64 y)) |
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2)) |
(log1p.f64 (cos.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2) (cbrt.f64 (log1p.f64 (cos.f64 y)))) |
(log1p.f64 (cos.f64 y)) |
(pow.f64 (log1p.f64 (cos.f64 y)) 1) |
(log1p.f64 (cos.f64 y)) |
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) 2) |
(log1p.f64 (cos.f64 y)) |
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 3) |
(log1p.f64 (cos.f64 y)) |
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3) 1/3) |
(log1p.f64 (cos.f64 y)) |
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 2)) |
(log1p.f64 (cos.f64 y)) |
(log.f64 (+.f64 (cos.f64 y) 1)) |
(log1p.f64 (cos.f64 y)) |
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3)) |
(log1p.f64 (cos.f64 y)) |
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 y)))) |
(log1p.f64 (cos.f64 y)) |
(exp.f64 (log.f64 (log1p.f64 (cos.f64 y)))) |
(log1p.f64 (cos.f64 y)) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 y))) 1)) |
(log1p.f64 (cos.f64 y)) |
(+.f64 (+.f64 (cos.f64 y) 1) -1) |
(cos.f64 y) |
(-.f64 (+.f64 (cos.f64 y) 1) 1) |
(cos.f64 y) |
(*.f64 (cos.f64 y) 1) |
(cos.f64 y) |
(*.f64 1 (cos.f64 y)) |
(cos.f64 y) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) |
(cos.f64 y) |
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) |
(cos.f64 y) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y))) |
(cos.f64 y) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1)) |
(cos.f64 y) |
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) 1) (+.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) 1) 1)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (fma.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (cos.f64 y)) (+.f64 (cos.f64 y) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (fma.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (cos.f64 y)) (+.f64 2 (cos.f64 y)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 y)) (+.f64 2 (cos.f64 y))))) |
(pow.f64 (cos.f64 y) 1) |
(cos.f64 y) |
(pow.f64 (sqrt.f64 (cos.f64 y)) 2) |
(cos.f64 y) |
(pow.f64 (cbrt.f64 (cos.f64 y)) 3) |
(cos.f64 y) |
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3) |
(cos.f64 y) |
(sqrt.f64 (pow.f64 (cos.f64 y) 2)) |
(cos.f64 y) |
(log.f64 (exp.f64 (cos.f64 y))) |
(cos.f64 y) |
(cbrt.f64 (pow.f64 (cos.f64 y) 3)) |
(cos.f64 y) |
(cos.f64 y) |
(exp.f64 (log.f64 (cos.f64 y))) |
(cos.f64 y) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1)) |
(cos.f64 y) |
(log1p.f64 (expm1.f64 (cos.f64 y))) |
(cos.f64 y) |
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1) |
(*.f64 (cos.f64 y) x) |
(pow.f64 (*.f64 (cos.f64 y) x) 1) |
(*.f64 (cos.f64 y) x) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2) |
(*.f64 (cos.f64 y) x) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3) |
(*.f64 (cos.f64 y) x) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3) |
(*.f64 (cos.f64 y) x) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2)) |
(*.f64 (cos.f64 y) x) |
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y))) |
(*.f64 (cos.f64 y) x) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3)) |
(*.f64 (cos.f64 y) x) |
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) |
(*.f64 (cos.f64 y) x) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x))) |
(*.f64 (cos.f64 y) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1)) |
(*.f64 (cos.f64 y) x) |
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x))) |
(*.f64 (cos.f64 y) x) |
Compiled 11 to 5 computations (54.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.01% | (cos.f64 y) | |
| ✓ | 0.21% | (*.f64 (cos.f64 y) x) |
Compiled 11 to 5 computations (54.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 (cos.f64 y) x) |
| 0.0ms | x | @ | inf | (*.f64 (cos.f64 y) x) |
| 0.0ms | y | @ | inf | (*.f64 (cos.f64 y) x) |
| 0.0ms | x | @ | -inf | (*.f64 (cos.f64 y) x) |
| 0.0ms | y | @ | -inf | (*.f64 (cos.f64 y) x) |
| 1× | batch-egg-rewrite |
| 1282× | add-sqr-sqrt |
| 1272× | *-un-lft-identity |
| 1170× | add-cube-cbrt |
| 1152× | add-cbrt-cube |
| 1138× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 135 | 11 |
| 2 | 1583 | 11 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cos.f64 y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x))))))) |
| 1× | egg-herbie |
| 1180× | fma-def |
| 920× | log-prod |
| 848× | distribute-lft-out |
| 772× | *-commutative |
| 660× | associate-*r* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 377 |
| 1 | 126 | 311 |
| 2 | 420 | 233 |
| 3 | 2043 | 227 |
| 4 | 5541 | 227 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))) |
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1) |
(pow.f64 (*.f64 (cos.f64 y) x) 1) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y))) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x))) |
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)) |
(fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))) x) |
(*.f64 x (fma.f64 1/24 (pow.f64 y 4) (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))) |
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))) |
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (*.f64 1/24 (pow.f64 y 4))) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) 1/24 -1/2))) x) |
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1) |
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1) |
(+.f64 (*.f64 x (cos.f64 y)) 0) |
(*.f64 x (cos.f64 y)) |
(pow.f64 (*.f64 (cos.f64 y) x) 1) |
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1) |
(+.f64 (*.f64 x (cos.f64 y)) 0) |
(*.f64 x (cos.f64 y)) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2) |
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1) |
(+.f64 (*.f64 x (cos.f64 y)) 0) |
(*.f64 x (cos.f64 y)) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3) |
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1) |
(+.f64 (*.f64 x (cos.f64 y)) 0) |
(*.f64 x (cos.f64 y)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3) |
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1) |
(+.f64 (*.f64 x (cos.f64 y)) 0) |
(*.f64 x (cos.f64 y)) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2)) |
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1) |
(+.f64 (*.f64 x (cos.f64 y)) 0) |
(*.f64 x (cos.f64 y)) |
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y))) |
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1) |
(+.f64 (*.f64 x (cos.f64 y)) 0) |
(*.f64 x (cos.f64 y)) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3)) |
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1) |
(+.f64 (*.f64 x (cos.f64 y)) 0) |
(*.f64 x (cos.f64 y)) |
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) |
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1) |
(+.f64 (*.f64 x (cos.f64 y)) 0) |
(*.f64 x (cos.f64 y)) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x))) |
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1) |
(+.f64 (*.f64 x (cos.f64 y)) 0) |
(*.f64 x (cos.f64 y)) |
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x))) |
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1) |
(+.f64 (*.f64 x (cos.f64 y)) 0) |
(*.f64 x (cos.f64 y)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.01% | (cos.f64 y) | |
| 0.21% | (*.f64 x (cos.f64 y)) | |
| 0.22% | (pow.f64 (*.f64 x (cos.f64 y)) 3) | |
| 61.07% | (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) |
Compiled 40 to 16 computations (60% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.01% | (cos.f64 y) | |
| ✓ | 0.13% | (*.f64 (cos.f64 y) (sqrt.f64 x)) |
| 0.23% | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.29% | (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) |
Compiled 42 to 10 computations (76.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) |
| 0.0ms | x | @ | 0 | (*.f64 (cos.f64 y) (sqrt.f64 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (cos.f64 y) (sqrt.f64 x)) |
| 0.0ms | y | @ | inf | (*.f64 (cos.f64 y) (sqrt.f64 x)) |
| 0.0ms | y | @ | 0 | (*.f64 (cos.f64 y) (sqrt.f64 x)) |
| 1× | batch-egg-rewrite |
| 1644× | add-sqr-sqrt |
| 1630× | *-un-lft-identity |
| 1504× | add-cube-cbrt |
| 1478× | add-cbrt-cube |
| 176× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 26 |
| 1 | 175 | 26 |
| 2 | 2090 | 26 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (cos.f64 y) (sqrt.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))))))) |
| 1× | egg-herbie |
| 1538× | fma-def |
| 1238× | distribute-lft-in |
| 1194× | distribute-rgt-in |
| 740× | *-commutative |
| 602× | associate-+r+ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 852 |
| 1 | 234 | 848 |
| 2 | 905 | 812 |
| 3 | 2847 | 794 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) x))) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) x))) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) x))) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) x))) |
(sqrt.f64 x) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x))) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1) |
(pow.f64 (*.f64 (cos.f64 y) x) 1) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2)) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x)))) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))) 1) |
(pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 3) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 3) 1/3) |
(sqrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 2))) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))))) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)) |
(fma.f64 x (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))) |
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))) |
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (*.f64 1/24 (pow.f64 y 4))) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) 1/24 -1/2))) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) x))) |
(*.f64 x (cos.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) x))) |
(*.f64 x (cos.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) x))) |
(*.f64 x (cos.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) x))) |
(*.f64 x (cos.f64 y)) |
(sqrt.f64 x) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x)) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) (sqrt.f64 x)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 x)) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 1/24 (pow.f64 y 4))))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) 1))) |
(*.f64 (sqrt.f64 x) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x)))) |
(fma.f64 -1/720 (*.f64 (pow.f64 y 6) (sqrt.f64 x)) (fma.f64 -1/2 (*.f64 (*.f64 y y) (sqrt.f64 x)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 x)) (sqrt.f64 x)))) |
(+.f64 (fma.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/720 (pow.f64 y 6)) (*.f64 -1/2 (*.f64 y y))))) |
(fma.f64 (sqrt.f64 x) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 -1/2 (*.f64 y y))) (*.f64 (sqrt.f64 x) (fma.f64 1/24 (pow.f64 y 4) 1))) |
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)) (*.f64 -1/720 (pow.f64 y 6)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1) |
(*.f64 x (cos.f64 y)) |
(pow.f64 (*.f64 (cos.f64 y) x) 1) |
(*.f64 x (cos.f64 y)) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2) |
(*.f64 x (cos.f64 y)) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3) |
(*.f64 x (cos.f64 y)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3) |
(*.f64 x (cos.f64 y)) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2)) |
(*.f64 x (cos.f64 y)) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x)) |
(*.f64 x (cos.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x)))) |
(*.f64 x (cos.f64 y)) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3)) |
(*.f64 x (cos.f64 y)) |
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) |
(*.f64 x (cos.f64 y)) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x))) |
(*.f64 x (cos.f64 y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1)) |
(*.f64 x (cos.f64 y)) |
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x))) |
(*.f64 x (cos.f64 y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))) 1) |
(*.f64 (cos.f64 y) (sqrt.f64 x)) |
(pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 1) |
(*.f64 (cos.f64 y) (sqrt.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 2) |
(*.f64 (cos.f64 y) (sqrt.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 3) |
(*.f64 (cos.f64 y) (sqrt.f64 x)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 3) 1/3) |
(*.f64 (cos.f64 y) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 2))) |
(fabs.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))) |
(*.f64 (cos.f64 y) (sqrt.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))))) |
(*.f64 (cos.f64 y) (sqrt.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 3)) |
(*.f64 (cos.f64 y) (sqrt.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))) |
(*.f64 (cos.f64 y) (sqrt.f64 x)) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))) |
(*.f64 (cos.f64 y) (sqrt.f64 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 1)) |
(*.f64 (cos.f64 y) (sqrt.f64 x)) |
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))) |
(*.f64 (cos.f64 y) (sqrt.f64 x)) |
Compiled 7717 to 3366 computations (56.4% saved)
32 alts after pruning (27 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 446 | 10 | 456 |
| Fresh | 7 | 17 | 24 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 5 | 8 |
| Total | 457 | 32 | 489 |
| Status | Error | Program |
|---|---|---|
| 23.4% | (fma.f64 (cos.f64 y) x (/.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 3)) (pow.f64 (sin.f64 y) 2))) | |
| 3.47% | (fma.f64 (cos.f64 y) x (/.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 2)) (sin.f64 y))) | |
| ✓ | 0.23% | (fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
| 61.99% | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) | |
| 64.15% | (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3/2)) 2) | |
| 2.1% | (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3) | |
| ▶ | 42.45% | (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3) |
| 70.57% | (/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) | |
| 72.38% | (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))) | |
| 0.39% | (/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) | |
| 53.28% | (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) x) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) (*.f64 y z)) | |
| 53.04% | (-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) (*.f64 y z)) | |
| 53.23% | (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) x) (*.f64 y z)) | |
| 73.92% | (-.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 y z)) | |
| ▶ | 0.4% | (-.f64 (*.f64 x (/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1))) (*.f64 z (sin.f64 y))) |
| ▶ | 0.38% | (-.f64 (*.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (*.f64 z (sin.f64 y))) |
| 47.93% | (-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) | |
| ✓ | 0.23% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 23.84% | (-.f64 x (*.f64 z (sin.f64 y))) | |
| ✓ | 52.14% | (-.f64 x (*.f64 y z)) |
| 48.06% | (+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))) | |
| ▶ | 0.37% | (+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))) |
| 56.37% | (*.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 1/3) x) | |
| ▶ | 65.25% | (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x) |
| 41.38% | (*.f64 (log1p.f64 (expm1.f64 (cos.f64 y))) x) | |
| 41.33% | (*.f64 (expm1.f64 (log1p.f64 (cos.f64 y))) x) | |
| ✓ | 41.3% | (*.f64 (cos.f64 y) x) |
| 41.42% | (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) x) | |
| 57.79% | (*.f64 z (neg.f64 (sin.f64 y))) | |
| ✓ | 85.69% | (*.f64 y (neg.f64 z)) |
| 77.26% | (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3)) | |
| 63.61% | x |
Compiled 1000 to 632 computations (36.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.01% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| 0.21% | (*.f64 x (cos.f64 y)) | |
| 0.23% | (*.f64 z (sin.f64 y)) | |
| ✓ | 84.66% | (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) |
Compiled 86 to 12 computations (86% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | inf | (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) |
| 0.0ms | z | @ | 0 | (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) |
| 0.0ms | y | @ | 0 | (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) |
| 0.0ms | y | @ | inf | (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) |
| 0.0ms | y | @ | -inf | (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) |
| 1× | batch-egg-rewrite |
| 1710× | add-sqr-sqrt |
| 1698× | *-un-lft-identity |
| 1564× | add-cube-cbrt |
| 1542× | add-cbrt-cube |
| 202× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 198 | 17 |
| 2 | 2426 | 17 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 y) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 y) (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 z z)))))))) |
| 1× | egg-herbie |
| 156× | associate-*r* |
| 138× | associate-*l* |
| 108× | fma-def |
| 76× | *-commutative |
| 60× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 886 |
| 1 | 255 | 886 |
| 2 | 1270 | 886 |
| 1× | unsound |
| Inputs |
|---|
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)) |
(*.f64 (+.f64 (*.f64 -1 z) z) y) |
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (*.f64 (+.f64 (*.f64 -1 z) z) y)) |
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y))) |
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 -1/5040 z) (*.f64 1/5040 z)) (pow.f64 y 7)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y)))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) 1) |
(*.f64 (sin.f64 y) (+.f64 z z)) |
(*.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 1) |
(*.f64 1 (*.f64 (sin.f64 y) (+.f64 z z))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))) |
(pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 2)) |
(log.f64 (exp.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 z z))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) |
| Outputs |
|---|
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(*.f64 (+.f64 (*.f64 -1 z) z) y) |
(*.f64 y (*.f64 0 z)) |
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (*.f64 (+.f64 (*.f64 -1 z) z) y)) |
(fma.f64 (pow.f64 y 3) (*.f64 z 0) (*.f64 y (*.f64 0 z))) |
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y))) |
(fma.f64 (pow.f64 y 3) (*.f64 z 0) (fma.f64 (*.f64 z 0) (pow.f64 y 5) (*.f64 y (*.f64 0 z)))) |
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 -1/5040 z) (*.f64 1/5040 z)) (pow.f64 y 7)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y)))) |
(fma.f64 (pow.f64 y 3) (*.f64 z 0) (fma.f64 (*.f64 z 0) (pow.f64 y 7) (fma.f64 (*.f64 z 0) (pow.f64 y 5) (*.f64 y (*.f64 0 z))))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) 1) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(*.f64 (sin.f64 y) (+.f64 z z)) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(*.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 1) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(*.f64 1 (*.f64 (sin.f64 y) (+.f64 z z))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2)) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 1) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 3) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 3) 1/3) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 2)) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(log.f64 (exp.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 z z))))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 3)) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 1)) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) |
(*.f64 (*.f64 0 (sin.f64 y)) z) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (+.f64 1 (*.f64 -1/2 (*.f64 y y))) |
| ✓ | 6.36% | (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x) |
Compiled 31 to 17 computations (45.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x) |
| 0.0ms | y | @ | 0 | (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x) |
| 1× | batch-egg-rewrite |
| 1956× | add-sqr-sqrt |
| 1932× | *-un-lft-identity |
| 1804× | add-cube-cbrt |
| 1786× | add-cbrt-cube |
| 194× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 1 | 204 | 36 |
| 2 | 2496 | 36 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x) |
(+.f64 1 (*.f64 -1/2 (*.f64 y y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 -1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 -1/2 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 -1/2 (*.f64 y y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 (pow.f64 y 4) 1/4))) (+.f64 1 (*.f64 1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/4)) x) (+.f64 1 (*.f64 1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) x) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (*.f64 y y) 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 y 4) 1/4) (+.f64 1 (*.f64 1/2 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (*.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/4)) (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 1/2 (*.f64 y y))) (-.f64 1 (*.f64 (pow.f64 y 4) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y)))) (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/4)) (+.f64 1 (*.f64 1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) (+.f64 (*.f64 (pow.f64 y 4) 1/4) (+.f64 1 (*.f64 1/2 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 y 4) 1/4) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/4))) (neg.f64 (+.f64 1 (*.f64 1/2 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 -1/2 (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 y y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) -1/2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 -1/2)) (*.f64 y (sqrt.f64 -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 y 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 y) y 1))))) |
| 1× | egg-herbie |
| 832× | associate-/l* |
| 648× | times-frac |
| 600× | unswap-sqr |
| 562× | distribute-lft-in |
| 540× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 2240 |
| 1 | 311 | 2080 |
| 2 | 1061 | 2048 |
| 3 | 4045 | 2048 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(*.f64 -1/2 (pow.f64 y 2)) |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(*.f64 -1/2 (pow.f64 y 2)) |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 x (*.f64 x (*.f64 -1/2 (*.f64 y y)))) |
(+.f64 x (*.f64 (*.f64 -1/2 (*.f64 y y)) x)) |
(+.f64 (*.f64 x (*.f64 -1/2 (*.f64 y y))) x) |
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x))) 1) |
(/.f64 (*.f64 x (-.f64 1 (*.f64 (pow.f64 y 4) 1/4))) (+.f64 1 (*.f64 1/2 (*.f64 y y)))) |
(/.f64 (*.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/4)) x) (+.f64 1 (*.f64 1/2 (*.f64 y y)))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) x) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y))))) |
(pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 1) |
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) 3) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2)) |
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (*.f64 y y) 1)) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)))) |
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x))) |
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1))) 1) |
(-.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 y 4) 1/4) (+.f64 1 (*.f64 1/2 (*.f64 y y))))) |
(*.f64 1 (fma.f64 -1/2 (*.f64 y y) 1)) |
(*.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1) |
(*.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/2)))) |
(*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1))) |
(*.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/4)) (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 y y))))) |
(*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y)))))) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 1/2 (*.f64 y y))) (-.f64 1 (*.f64 (pow.f64 y 4) 1/4)))) |
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y)))) (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/4)) (+.f64 1 (*.f64 1/2 (*.f64 y y)))) |
(/.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y))))) |
(/.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) (+.f64 (*.f64 (pow.f64 y 4) 1/4) (+.f64 1 (*.f64 1/2 (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y 4) 1/4) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) |
(/.f64 (neg.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/4))) (neg.f64 (+.f64 1 (*.f64 1/2 (*.f64 y y))))) |
(/.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y)))))) |
(pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1) |
(pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/2))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 3) |
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 2)) |
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 y y) 1))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 y y) 1)))) |
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1))) |
(exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 y y)))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 -1/2 (*.f64 y y))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 y y) 1))) |
(fma.f64 1 (*.f64 -1/2 (*.f64 y y)) 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(fma.f64 (*.f64 y y) -1/2 1) |
(fma.f64 (*.f64 y (sqrt.f64 -1/2)) (*.f64 y (sqrt.f64 -1/2)) 1) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 y y))) 1) |
(fma.f64 (*.f64 -1/2 y) y 1) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 x (fma.f64 (*.f64 -1/2 y) y 1)) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 y y) (*.f64 x -1/2) x) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 x (fma.f64 (*.f64 -1/2 y) y 1)) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 y y) (*.f64 x -1/2) x) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 x (fma.f64 (*.f64 -1/2 y) y 1)) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 y y) (*.f64 x -1/2) x) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(*.f64 x (*.f64 (*.f64 -1/2 y) y)) |
(*.f64 x (*.f64 -1/2 (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 x (fma.f64 (*.f64 -1/2 y) y 1)) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 y y) (*.f64 x -1/2) x) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 x (fma.f64 (*.f64 -1/2 y) y 1)) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 y y) (*.f64 x -1/2) x) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 x (fma.f64 (*.f64 -1/2 y) y 1)) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 y y) (*.f64 x -1/2) x) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) |
(*.f64 x (*.f64 (*.f64 -1/2 y) y)) |
(*.f64 x (*.f64 -1/2 (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 x (fma.f64 (*.f64 -1/2 y) y 1)) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 y y) (*.f64 x -1/2) x) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 x (fma.f64 (*.f64 -1/2 y) y 1)) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 y y) (*.f64 x -1/2) x) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 x (fma.f64 (*.f64 -1/2 y) y 1)) |
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 y y) (*.f64 x -1/2) x) |
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(/.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y)))))) |
(*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 y 4) 1/4 (*.f64 (*.f64 1/2 y) y))))) |
(/.f64 (fma.f64 (pow.f64 y 6) -1/8 1) (fma.f64 (pow.f64 y 4) 1/4 (fma.f64 (*.f64 y y) 1/2 1))) |
(/.f64 (fma.f64 (pow.f64 y 6) -1/8 1) (fma.f64 y (*.f64 y 1/2) (fma.f64 (pow.f64 y 4) 1/4 1))) |
(pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1) |
(fma.f64 (*.f64 -1/2 y) y 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/2))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 3) |
(fma.f64 (*.f64 -1/2 y) y 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 3) 1/3) |
(fma.f64 (*.f64 -1/2 y) y 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 2)) |
(fma.f64 (*.f64 -1/2 y) y 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 y y) 1))) |
(fma.f64 (*.f64 -1/2 y) y 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 y y) 1)))) |
(fma.f64 (*.f64 -1/2 y) y 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 3)) |
(fma.f64 (*.f64 -1/2 y) y 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1))) |
(fma.f64 (*.f64 -1/2 y) y 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 y y)))) |
(fma.f64 (*.f64 -1/2 y) y 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 -1/2 (*.f64 y y))) 1)) |
(fma.f64 (*.f64 -1/2 y) y 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 y y) 1))) |
(fma.f64 (*.f64 -1/2 y) y 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(fma.f64 1 (*.f64 -1/2 (*.f64 y y)) 1) |
(fma.f64 (*.f64 -1/2 y) y 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(fma.f64 (*.f64 -1/2 y) y 1) |
(fma.f64 (*.f64 y y) -1/2 1) |
(fma.f64 (*.f64 -1/2 y) y 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(fma.f64 (*.f64 y (sqrt.f64 -1/2)) (*.f64 y (sqrt.f64 -1/2)) 1) |
(fma.f64 (*.f64 -1/2 y) y 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 y y))) 1) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y 4) 1/4)) (cbrt.f64 (*.f64 (*.f64 -1/2 y) y)) 1) |
(fma.f64 (*.f64 -1/2 y) y 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.21% | (*.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) |
| 0.23% | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.58% | (-.f64 (+.f64 (cos.f64 y) 1) 1) |
| ✓ | 0.63% | (+.f64 (cos.f64 y) 1) |
Compiled 46 to 24 computations (47.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (+.f64 (cos.f64 y) 1) |
| 0.0ms | y | @ | 0 | (*.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) |
| 0.0ms | y | @ | inf | (+.f64 (cos.f64 y) 1) |
| 0.0ms | y | @ | 0 | (-.f64 (+.f64 (cos.f64 y) 1) 1) |
| 0.0ms | y | @ | -inf | (+.f64 (cos.f64 y) 1) |
| 1× | batch-egg-rewrite |
| 2028× | add-sqr-sqrt |
| 2012× | *-un-lft-identity |
| 1876× | add-cube-cbrt |
| 214× | pow1 |
| 202× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 39 |
| 1 | 212 | 27 |
| 2 | 2820 | 27 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (cos.f64 y) 1) |
(-.f64 (+.f64 (cos.f64 y) 1) 1) |
(*.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 1 (+.f64 (cos.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) (sqrt.f64 (+.f64 (cos.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) (/.f64 1 (+.f64 (cos.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 y) -1) (+.f64 (pow.f64 (cos.f64 y) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))) (+.f64 1 (pow.f64 (cos.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) 1) (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 y) 2)) (-.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1)) (neg.f64 (+.f64 (cos.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (cos.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (/.f64 1 (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 y) 2) (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (+.f64 (cos.f64 y) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (-.f64 1 (*.f64 (+.f64 (cos.f64 y) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 0) (-.f64 (cos.f64 y) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 y) 3) 0) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 0 (*.f64 (cos.f64 y) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))) (neg.f64 (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (cos.f64 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) (sqrt.f64 (+.f64 (cos.f64 y) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 y) 1)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) x) (*.f64 x 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) x) (*.f64 0 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 (cos.f64 y) 1)) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 y) 1) x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))) (+.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) x) (+.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) x) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x))))))) |
| 1× | egg-herbie |
| 1674× | associate-/l* |
| 1178× | associate-/r* |
| 902× | associate-*r/ |
| 764× | *-commutative |
| 522× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 232 | 2515 |
| 1 | 521 | 2455 |
| 2 | 2553 | 2327 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
x |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(-.f64 (+.f64 (cos.f64 y) 2) 1) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 1 (+.f64 (cos.f64 y) -1))) |
(*.f64 1 (+.f64 (cos.f64 y) 1)) |
(*.f64 (+.f64 (cos.f64 y) 1) 1) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) (sqrt.f64 (+.f64 (cos.f64 y) 1))) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 1)) |
(*.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 y) 1))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 1)) |
(*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) (/.f64 1 (+.f64 (cos.f64 y) -1))) |
(*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))))) |
(/.f64 1 (/.f64 (+.f64 (cos.f64 y) -1) (+.f64 (pow.f64 (cos.f64 y) 2) -1))) |
(/.f64 1 (/.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))) (+.f64 1 (pow.f64 (cos.f64 y) 3)))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) (+.f64 (cos.f64 y) -1)) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y)))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) 1) (+.f64 (cos.f64 y) -1)) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 y) 2)) (-.f64 1 (cos.f64 y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1)) (neg.f64 (+.f64 (cos.f64 y) -1))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))))) |
(pow.f64 (+.f64 (cos.f64 y) 1) 1) |
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 3) |
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2)) |
(log.f64 (exp.f64 (+.f64 (cos.f64 y) 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 y) 1)))) |
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3)) |
(expm1.f64 (log.f64 (+.f64 (cos.f64 y) 2))) |
(exp.f64 (log1p.f64 (cos.f64 y))) |
(exp.f64 (*.f64 (log1p.f64 (cos.f64 y)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) 1))) |
(fma.f64 1 (cos.f64 y) 1) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 1) |
(+.f64 (cos.f64 y) 0) |
(+.f64 1 (+.f64 (cos.f64 y) -1)) |
(+.f64 (+.f64 (cos.f64 y) 1) -1) |
(+.f64 0 (cos.f64 y)) |
(+.f64 -1 (+.f64 (cos.f64 y) 1)) |
(*.f64 (cos.f64 y) 1) |
(*.f64 1 (cos.f64 y)) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) 1)) |
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) 1)) |
(*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (/.f64 1 (+.f64 (cos.f64 y) 2))) |
(*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 1)) |
(/.f64 1 (/.f64 (+.f64 (cos.f64 y) 2) (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1))) |
(/.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (cos.f64 y) 2)) |
(/.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (+.f64 (cos.f64 y) 1) -1)) |
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (-.f64 1 (*.f64 (+.f64 (cos.f64 y) 1) -1)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 0) (-.f64 (cos.f64 y) 0)) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) 0) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 0 (*.f64 (cos.f64 y) 0)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))) (neg.f64 (+.f64 (cos.f64 y) 2))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)))) |
(pow.f64 (cos.f64 y) 1) |
(pow.f64 (sqrt.f64 (cos.f64 y)) 2) |
(pow.f64 (cbrt.f64 (cos.f64 y)) 3) |
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3) |
(sqrt.f64 (pow.f64 (cos.f64 y) 2)) |
(log.f64 (exp.f64 (cos.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y)))) |
(cbrt.f64 (pow.f64 (cos.f64 y) 3)) |
(cos.f64 y) |
(expm1.f64 (log1p.f64 (cos.f64 y))) |
(exp.f64 (log.f64 (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1)) |
(log1p.f64 (expm1.f64 (cos.f64 y))) |
(fma.f64 1 (cos.f64 y) 0) |
(fma.f64 1 (+.f64 (cos.f64 y) 1) -1) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 0) |
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) (sqrt.f64 (+.f64 (cos.f64 y) 1)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 0) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 y) 1)) -1) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 x 0)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 0 x)) |
(+.f64 (*.f64 x (+.f64 (cos.f64 y) 1)) (*.f64 x -1)) |
(+.f64 (*.f64 (+.f64 (cos.f64 y) 1) x) (*.f64 -1 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1) |
(/.f64 (*.f64 x (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))) (+.f64 (cos.f64 y) 2)) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2))) |
(/.f64 (*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) x) (+.f64 (cos.f64 y) 2)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) x) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2))) |
(pow.f64 (*.f64 (cos.f64 y) x) 1) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2)) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x)))) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x))) |
| Outputs |
|---|
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 2 (*.f64 -1/2 (*.f64 y y))) |
(fma.f64 -1/2 (*.f64 y y) 2) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 2 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 2 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/720 (pow.f64 y 6) 2)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 (*.f64 -1/2 (*.f64 y y)) 1) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) 1) |
(+.f64 (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) 1)) |
(+.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/720 (pow.f64 y 6) 1)) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
x |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) x) x) |
(fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(fma.f64 1/24 (*.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (*.f64 (*.f64 y y) x) x)) |
(+.f64 x (*.f64 x (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))) |
(+.f64 x (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) x)) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))) |
(fma.f64 -1/720 (*.f64 (pow.f64 y 6) x) (fma.f64 1/24 (*.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (*.f64 (*.f64 y y) x) x))) |
(fma.f64 -1/720 (*.f64 (pow.f64 y 6) x) (+.f64 x (*.f64 x (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))) |
(+.f64 x (*.f64 x (+.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) (*.f64 -1/720 (pow.f64 y 6))))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(-.f64 (+.f64 (cos.f64 y) 2) 1) |
(+.f64 1 (cos.f64 y)) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 1 (+.f64 (cos.f64 y) -1))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 -1 (+.f64 (cos.f64 y) -1))) |
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))) |
(*.f64 1 (+.f64 (cos.f64 y) 1)) |
(+.f64 1 (cos.f64 y)) |
(*.f64 (+.f64 (cos.f64 y) 1) 1) |
(+.f64 1 (cos.f64 y)) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) (sqrt.f64 (+.f64 (cos.f64 y) 1))) |
(+.f64 1 (cos.f64 y)) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 1)) |
(+.f64 1 (cos.f64 y)) |
(*.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2)) |
(+.f64 1 (cos.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 y) 1))) |
(+.f64 1 (cos.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 1)) |
(+.f64 1 (cos.f64 y)) |
(*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) (/.f64 1 (+.f64 (cos.f64 y) -1))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 1 (+.f64 (cos.f64 y) -1))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 -1 (+.f64 (cos.f64 y) -1))) |
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))) |
(*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) |
(/.f64 1 (/.f64 (+.f64 (cos.f64 y) -1) (+.f64 (pow.f64 (cos.f64 y) 2) -1))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 1 (+.f64 (cos.f64 y) -1))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 -1 (+.f64 (cos.f64 y) -1))) |
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))) |
(/.f64 1 (/.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))) (+.f64 1 (pow.f64 (cos.f64 y) 3)))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) (+.f64 (cos.f64 y) -1)) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 1 (+.f64 (cos.f64 y) -1))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 -1 (+.f64 (cos.f64 y) -1))) |
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y)))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) 1) (+.f64 (cos.f64 y) -1)) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 1 (+.f64 (cos.f64 y) -1))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 -1 (+.f64 (cos.f64 y) -1))) |
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y)))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 y) 2)) (-.f64 1 (cos.f64 y))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 1 (+.f64 (cos.f64 y) -1))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 -1 (+.f64 (cos.f64 y) -1))) |
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1)) (neg.f64 (+.f64 (cos.f64 y) -1))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 1 (+.f64 (cos.f64 y) -1))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 -1 (+.f64 (cos.f64 y) -1))) |
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) |
(pow.f64 (+.f64 (cos.f64 y) 1) 1) |
(+.f64 1 (cos.f64 y)) |
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 2) |
(+.f64 1 (cos.f64 y)) |
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 3) |
(+.f64 1 (cos.f64 y)) |
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) 1/3) |
(+.f64 1 (cos.f64 y)) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2)) |
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) |
(fabs.f64 (+.f64 1 (cos.f64 y))) |
(log.f64 (exp.f64 (+.f64 (cos.f64 y) 1))) |
(+.f64 1 (cos.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 y) 1)))) |
(+.f64 1 (cos.f64 y)) |
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3)) |
(+.f64 1 (cos.f64 y)) |
(expm1.f64 (log.f64 (+.f64 (cos.f64 y) 2))) |
(expm1.f64 (log.f64 (+.f64 2 (cos.f64 y)))) |
(exp.f64 (log1p.f64 (cos.f64 y))) |
(exp.f64 (*.f64 (log1p.f64 (cos.f64 y)) 1)) |
(exp.f64 (log1p.f64 (cos.f64 y))) |
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) 1))) |
(+.f64 1 (cos.f64 y)) |
(fma.f64 1 (cos.f64 y) 1) |
(+.f64 1 (cos.f64 y)) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 1) |
(+.f64 1 (cos.f64 y)) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 1) |
(+.f64 1 (cos.f64 y)) |
(+.f64 (cos.f64 y) 0) |
(cos.f64 y) |
(+.f64 1 (+.f64 (cos.f64 y) -1)) |
(cos.f64 y) |
(+.f64 (+.f64 (cos.f64 y) 1) -1) |
(cos.f64 y) |
(+.f64 0 (cos.f64 y)) |
(cos.f64 y) |
(+.f64 -1 (+.f64 (cos.f64 y) 1)) |
(cos.f64 y) |
(*.f64 (cos.f64 y) 1) |
(cos.f64 y) |
(*.f64 1 (cos.f64 y)) |
(cos.f64 y) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) |
(cos.f64 y) |
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) 1)) |
(cos.f64 y) |
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) |
(cos.f64 y) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y))) |
(cos.f64 y) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) 1)) |
(cos.f64 y) |
(*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (/.f64 1 (+.f64 (cos.f64 y) 2))) |
(cos.f64 y) |
(*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 1)) |
(cos.f64 y) |
(/.f64 1 (/.f64 (+.f64 (cos.f64 y) 2) (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)))) |
(cos.f64 y) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) |
(/.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (cos.f64 y) 2)) |
(cos.f64 y) |
(/.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (+.f64 (cos.f64 y) 1) -1)) |
(cos.f64 y) |
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (-.f64 1 (*.f64 (+.f64 (cos.f64 y) 1) -1)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 0) (-.f64 (cos.f64 y) 0)) |
(/.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) 0) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 0 (*.f64 (cos.f64 y) 0)))) |
(/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cos.f64 y) 2)) |
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))) (neg.f64 (+.f64 (cos.f64 y) 2))) |
(cos.f64 y) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) |
(pow.f64 (cos.f64 y) 1) |
(cos.f64 y) |
(pow.f64 (sqrt.f64 (cos.f64 y)) 2) |
(cos.f64 y) |
(pow.f64 (cbrt.f64 (cos.f64 y)) 3) |
(cos.f64 y) |
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3) |
(cos.f64 y) |
(sqrt.f64 (pow.f64 (cos.f64 y) 2)) |
(fabs.f64 (cos.f64 y)) |
(log.f64 (exp.f64 (cos.f64 y))) |
(cos.f64 y) |
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y)))) |
(cos.f64 y) |
(cbrt.f64 (pow.f64 (cos.f64 y) 3)) |
(cos.f64 y) |
(cos.f64 y) |
(expm1.f64 (log1p.f64 (cos.f64 y))) |
(cos.f64 y) |
(exp.f64 (log.f64 (cos.f64 y))) |
(cos.f64 y) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1)) |
(cos.f64 y) |
(log1p.f64 (expm1.f64 (cos.f64 y))) |
(cos.f64 y) |
(fma.f64 1 (cos.f64 y) 0) |
(cos.f64 y) |
(fma.f64 1 (+.f64 (cos.f64 y) 1) -1) |
(cos.f64 y) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 0) |
(cos.f64 y) |
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) (sqrt.f64 (+.f64 (cos.f64 y) 1)) -1) |
(cos.f64 y) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 0) |
(cos.f64 y) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 y) 1)) -1) |
(cos.f64 y) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 x 0)) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 0 x)) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 x (+.f64 (cos.f64 y) 1)) (*.f64 x -1)) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 (+.f64 (cos.f64 y) 1) x) (*.f64 -1 x)) |
(*.f64 (cos.f64 y) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1) |
(*.f64 (cos.f64 y) x) |
(/.f64 (*.f64 x (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))) (+.f64 (cos.f64 y) 2)) |
(*.f64 (cos.f64 y) x) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2))) |
(/.f64 x (/.f64 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) x) |
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))) |
(/.f64 (*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) x) (+.f64 (cos.f64 y) 2)) |
(*.f64 (cos.f64 y) x) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) x) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2))) |
(/.f64 x (/.f64 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) x) |
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))) |
(pow.f64 (*.f64 (cos.f64 y) x) 1) |
(*.f64 (cos.f64 y) x) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2) |
(*.f64 (cos.f64 y) x) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3) |
(*.f64 (cos.f64 y) x) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3) |
(*.f64 (cos.f64 y) x) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2)) |
(fabs.f64 (*.f64 (cos.f64 y) x)) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x)) |
(*.f64 (cos.f64 y) x) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x)))) |
(*.f64 (cos.f64 y) x) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3)) |
(*.f64 (cos.f64 y) x) |
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) |
(*.f64 (cos.f64 y) x) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x))) |
(*.f64 (cos.f64 y) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1)) |
(*.f64 (cos.f64 y) x) |
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x))) |
(*.f64 (cos.f64 y) x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.01% | (cos.f64 y) | |
| 0.21% | (*.f64 (cos.f64 y) x) | |
| ✓ | 0.92% | (cbrt.f64 (*.f64 (cos.f64 y) x)) |
| ✓ | 1.21% | (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3) |
Compiled 24 to 9 computations (62.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3) |
| 2.0ms | y | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3) |
| 2.0ms | y | @ | inf | (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3) |
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3) |
| 1.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3) |
| 1× | batch-egg-rewrite |
| 1654× | add-sqr-sqrt |
| 1624× | *-un-lft-identity |
| 1524× | add-cube-cbrt |
| 1504× | add-cbrt-cube |
| 172× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 203 | 26 |
| 2 | 2138 | 26 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3) |
(cbrt.f64 (*.f64 (cos.f64 y) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 1/6)) (pow.f64 (*.f64 (cos.f64 y) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (pow.f64 (*.f64 (cos.f64 y) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))))))) |
| 1× | egg-herbie |
| 1256× | fma-def |
| 868× | *-commutative |
| 740× | distribute-lft-in |
| 704× | distribute-rgt-in |
| 526× | distribute-lft-neg-in |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 199 | 1809 |
| 1 | 554 | 1765 |
| 2 | 1915 | 1665 |
| 3 | 5722 | 1613 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 1 1/3) x) |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2))) |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) x)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))))) |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))) (pow.f64 1 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) x)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3)))))))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)) |
(pow.f64 x 1/3) |
(+.f64 (pow.f64 x 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2)))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2)))))) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)) |
(*.f64 (*.f64 (cos.f64 y) x) 1) |
(*.f64 1 (*.f64 (cos.f64 y) x)) |
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))) |
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x))) |
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 y) x))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 1/6)) (pow.f64 (*.f64 (cos.f64 y) x) 1/6)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 y) x))) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2)) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x)))) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) 1) |
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1) |
(*.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))) |
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (pow.f64 (*.f64 (cos.f64 y) x) 1/6)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) |
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (cos.f64 y) x))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/3)) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3) |
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)) |
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) |
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 1)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1/3)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) |
| Outputs |
|---|
(*.f64 (pow.f64 1 1/3) x) |
x |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2))) |
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y))) |
(fma.f64 (*.f64 x -1/2) (*.f64 y y) x) |
(fma.f64 x (*.f64 (*.f64 y y) -1/2) x) |
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(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (cos.f64 y) x))) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) x) 1/3) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 2) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 1)) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1/3)) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) |
(cbrt.f64 (*.f64 x (cos.f64 y))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.33% | (/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1)) |
| ✓ | 0.41% | (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) |
| ✓ | 0.41% | (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) |
| 0.63% | (+.f64 (cos.f64 y) 1) |
Compiled 108 to 64 computations (40.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1)) |
| 0.0ms | y | @ | -inf | (/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1)) |
| 0.0ms | y | @ | inf | (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) |
| 0.0ms | y | @ | -inf | (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) |
| 0.0ms | y | @ | 0 | (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) |
| 1× | batch-egg-rewrite |
| 1634× | associate-/r/ |
| 1390× | associate-/l/ |
| 1134× | *-commutative |
| 268× | add-sqr-sqrt |
| 264× | associate-+r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 79 |
| 1 | 256 | 41 |
| 2 | 3849 | 41 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) |
(-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (+.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 1 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 1 (cos.f64 y)) (cos.f64 y)) (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) 1) (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)))) (neg.f64 (/.f64 1 (+.f64 2 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (cos.f64 y)) (-.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (-.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 6) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 1 (cos.f64 y)) 4)))) (-.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 1 (cos.f64 y)) 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (-.f64 (/.f64 1 (+.f64 (cos.f64 y) -1)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)))) (/.f64 1 (+.f64 2 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 6) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 1 (cos.f64 y)) 4))))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 1 (cos.f64 y)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1))) (/.f64 1 (+.f64 (cos.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (fma.f64 (cos.f64 y) (cos.f64 y) -1)) (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (fma.f64 (cos.f64 y) (cos.f64 y) -1)) (*.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (pow.f64 (cos.f64 y) 3))) (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (pow.f64 (cos.f64 y) 3))) (*.f64 1 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (cos.f64 y)) (fma.f64 (cos.f64 y) (cos.f64 y) -1)) (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (cos.f64 y) (+.f64 1 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (*.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (cos.f64 y) (+.f64 1 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (pow.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 3)) (-.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (*.f64 (+.f64 1 (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (pow.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 3)) (*.f64 1 (-.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (*.f64 (+.f64 1 (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (+.f64 1 (pow.f64 (cos.f64 y) 3))) (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (+.f64 1 (pow.f64 (cos.f64 y) 3))) (*.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (cos.f64 y)) (cos.f64 y) (+.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) (+.f64 1 (cos.f64 y)) (+.f64 1 (cos.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cos.f64 y)) (+.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cos.f64 y)) (-.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)))) (neg.f64 (/.f64 1 (+.f64 2 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (+.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2))) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))))))) 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(cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 2)) (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (*.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 2 (cos.f64 y)))) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (+.f64 2 (cos.f64 y)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (*.f64 (cos.f64 y) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (-.f64 -2 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 3) (pow.f64 (+.f64 2 (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (cos.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))) -1))))) |
| 1× | egg-herbie |
| 1376× | associate-*r* |
| 1352× | associate-/l* |
| 1248× | associate-*l* |
| 800× | associate-/r* |
| 710× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 569 | 13817 |
| 1 | 1838 | 13549 |
| 1× | node limit |
| Inputs |
|---|
4 |
(+.f64 4 (*.f64 -2 (pow.f64 y 2))) |
(+.f64 4 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4)))) |
(+.f64 (*.f64 -17/360 (pow.f64 y 6)) (+.f64 4 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4))))) |
(pow.f64 (+.f64 1 (cos.f64 y)) 2) |
(pow.f64 (+.f64 1 (cos.f64 y)) 2) |
(pow.f64 (+.f64 1 (cos.f64 y)) 2) |
(pow.f64 (+.f64 1 (cos.f64 y)) 2) |
(pow.f64 (+.f64 1 (cos.f64 y)) 2) |
(pow.f64 (+.f64 1 (cos.f64 y)) 2) |
(pow.f64 (+.f64 1 (cos.f64 y)) 2) |
(pow.f64 (+.f64 1 (cos.f64 y)) 2) |
3 |
(+.f64 3 (*.f64 -2 (pow.f64 y 2))) |
(+.f64 3 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4)))) |
(+.f64 (*.f64 -17/360 (pow.f64 y 6)) (+.f64 3 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4))))) |
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) |
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) |
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) |
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) |
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) |
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) |
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) |
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y))) |
(+.f64 1 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) |
(+.f64 (+.f64 1 (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) |
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 0) |
(+.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 1) |
(+.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (+.f64 1 (cos.f64 y)))) |
(+.f64 0 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) |
(+.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 1 (cos.f64 y))) |
(+.f64 (cos.f64 y) (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2))) |
(+.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) -1) |
(+.f64 -1 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))) |
(+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) (cos.f64 y)) |
(+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) |
(+.f64 (+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) 1) (+.f64 (cos.f64 y) -1)) |
(+.f64 (+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)))) (neg.f64 (/.f64 1 (+.f64 2 (cos.f64 y))))) |
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 0) |
(-.f64 (+.f64 2 (cos.f64 y)) (-.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) |
(-.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) 1) |
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (-.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))) 1)) |
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 6) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 1 (cos.f64 y)) 4)))) (-.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 1 (cos.f64 y)) 4)))) 1)) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (-.f64 (/.f64 1 (+.f64 (cos.f64 y) -1)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) |
(-.f64 (+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)))) (/.f64 1 (+.f64 2 (cos.f64 y)))) |
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) |
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 6) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 1 (cos.f64 y)) 4))))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 1 (cos.f64 y)) 4))))) |
(-.f64 (+.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1))) (/.f64 1 (+.f64 (cos.f64 y) -1))) |
(/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) |
(/.f64 (*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (fma.f64 (cos.f64 y) (cos.f64 y) -1)) (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1))) |
(/.f64 (*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (fma.f64 (cos.f64 y) (cos.f64 y) -1)) (*.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (pow.f64 (cos.f64 y) 3))) (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (pow.f64 (cos.f64 y) 3))) (*.f64 1 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))))) |
(/.f64 (*.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))) |
(/.f64 (*.f64 (+.f64 1 (cos.f64 y)) (fma.f64 (cos.f64 y) (cos.f64 y) -1)) (+.f64 (cos.f64 y) -1)) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (cos.f64 y) (+.f64 1 (cos.f64 y))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (*.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (cos.f64 y) (+.f64 1 (cos.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (pow.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 3)) (-.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (*.f64 (+.f64 1 (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (pow.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 3)) (*.f64 1 (-.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (*.f64 (+.f64 1 (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))) |
(/.f64 (*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (+.f64 1 (pow.f64 (cos.f64 y) 3))) (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))) |
(/.f64 (*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (+.f64 1 (pow.f64 (cos.f64 y) 3))) (*.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))))) |
(pow.f64 (+.f64 1 (cos.f64 y)) 2) |
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) |
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) 3) |
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 6) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4)) |
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) |
(cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2))) |
(exp.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) |
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2))) |
(fma.f64 (+.f64 1 (cos.f64 y)) (cos.f64 y) (+.f64 1 (cos.f64 y))) |
(fma.f64 (cos.f64 y) (+.f64 1 (cos.f64 y)) (+.f64 1 (cos.f64 y))) |
(+.f64 (+.f64 1 (cos.f64 y)) (+.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) -1)) |
(+.f64 (+.f64 1 (cos.f64 y)) (-.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1)) |
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) |
(+.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 0) |
(+.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (cos.f64 y))) |
(+.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (cos.f64 y)) |
(+.f64 (cos.f64 y) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) |
(+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) |
(+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) -1)) |
(+.f64 (+.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)))) (neg.f64 (/.f64 1 (+.f64 2 (cos.f64 y))))) |
(+.f64 (+.f64 -1 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 1) |
(+.f64 (+.f64 -1 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (+.f64 1 (cos.f64 y))) |
(+.f64 (+.f64 -1 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2))) (cos.f64 y)) |
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 1) |
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) |
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))) |
(*.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (*.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (cos.f64 y))) |
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(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (/.f64 1 (sqrt.f64 (+.f64 2 (cos.f64 y))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (cos.f64 y)))) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (sqrt.f64 (+.f64 2 (cos.f64 y))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (cbrt.f64 (+.f64 2 (cos.f64 y))))) |
(*.f64 (/.f64 (cos.f64 y) (cos.f64 y)) (cos.f64 y)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (cbrt.f64 (+.f64 2 (cos.f64 y)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))) |
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (cos.f64 y))) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (cos.f64 y)))) (-.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1)) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (cos.f64 y))))) |
(*.f64 (/.f64 1 (-.f64 -2 (cos.f64 y))) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y)))) |
(*.f64 (/.f64 (+.f64 2 (cos.f64 y)) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (/.f64 (cos.f64 y) (sqrt.f64 (+.f64 2 (cos.f64 y))))) |
(*.f64 (/.f64 (cos.f64 y) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (/.f64 (+.f64 2 (cos.f64 y)) (sqrt.f64 (+.f64 2 (cos.f64 y))))) |
(*.f64 (/.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (/.f64 (cos.f64 y) (cbrt.f64 (+.f64 2 (cos.f64 y))))) |
(*.f64 (/.f64 (cos.f64 y) (cbrt.f64 (+.f64 2 (cos.f64 y)))) (/.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (+.f64 2 (cos.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (+.f64 2 (cos.f64 y))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (+.f64 2 (cos.f64 y))) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 1)) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (cbrt.f64 (+.f64 2 (cos.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (cbrt.f64 (+.f64 2 (cos.f64 y)))) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (+.f64 2 (cos.f64 y)))) |
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (+.f64 2 (cos.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 2) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (sqrt.f64 (+.f64 2 (cos.f64 y))))) |
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 2) (sqrt.f64 (+.f64 2 (cos.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (cos.f64 y))) |
(*.f64 (/.f64 (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y))) (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))) (/.f64 (cos.f64 y) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 2)) (/.f64 (cos.f64 y) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) -1)) (*.f64 (cos.f64 y) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 6))) (*.f64 (cos.f64 y) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 1 (cos.f64 y)) 4))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y)))) (-.f64 0 (cos.f64 y))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y)))) (neg.f64 (cos.f64 y))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (neg.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 2 (cos.f64 y)) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 2))) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (-.f64 (pow.f64 (cos.f64 y) 2) 4)) (+.f64 (cos.f64 y) -2)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 (pow.f64 (cos.f64 y) 3) 8)) (-.f64 (+.f64 (pow.f64 (cos.f64 y) 2) 4) (*.f64 2 (cos.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 2) (+.f64 2 (cos.f64 y))) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) -1) (/.f64 1 (+.f64 2 (cos.f64 y)))) (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 4))) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) -1) (/.f64 1 (+.f64 2 (cos.f64 y)))) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 6))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y))))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 2 (cos.f64 y))) (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 6))) (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (pow.f64 (+.f64 1 (cos.f64 y)) 4)) (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))))) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 2 (cos.f64 y))) (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 6))) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) 3) (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (pow.f64 (+.f64 1 (cos.f64 y)) 4)) (-.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))) |
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))) (sqrt.f64 (cos.f64 y))) |
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)))) |
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))) (cbrt.f64 (cos.f64 y))) |
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 2)) (pow.f64 (cos.f64 y) 2)) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (*.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 2 (cos.f64 y)))) (cos.f64 y)) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (+.f64 2 (cos.f64 y)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (*.f64 (cos.f64 y) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)))) |
(pow.f64 (sqrt.f64 (cos.f64 y)) 2) |
(pow.f64 (cbrt.f64 (cos.f64 y)) 3) |
(pow.f64 (cos.f64 y) 1) |
(pow.f64 (/.f64 1 (cos.f64 y)) -1) |
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3) |
(neg.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (-.f64 -2 (cos.f64 y)))) |
(sqrt.f64 (pow.f64 (cos.f64 y) 2)) |
(log.f64 (exp.f64 (cos.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y)))) |
(cbrt.f64 (pow.f64 (cos.f64 y) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 3) (pow.f64 (+.f64 2 (cos.f64 y)) 3))) |
(cos.f64 y) |
(expm1.f64 (log1p.f64 (cos.f64 y))) |
(exp.f64 (log.f64 (cos.f64 y))) |
(log1p.f64 (expm1.f64 (cos.f64 y))) |
(fma.f64 1 (+.f64 1 (cos.f64 y)) -1) |
(fma.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))) -1) |
| Outputs |
|---|
4 |
(+.f64 4 (*.f64 -2 (pow.f64 y 2))) |
(+.f64 4 (*.f64 -2 (*.f64 y y))) |
(+.f64 4 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4)))) |
(+.f64 4 (fma.f64 -2 (*.f64 y y) (*.f64 5/12 (pow.f64 y 4)))) |
(+.f64 (*.f64 -17/360 (pow.f64 y 6)) (+.f64 4 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4))))) |
(fma.f64 -17/360 (pow.f64 y 6) (+.f64 4 (fma.f64 -2 (*.f64 y y) (*.f64 5/12 (pow.f64 y 4))))) |
(pow.f64 (+.f64 1 (cos.f64 y)) 2) |
(pow.f64 (+.f64 1 (cos.f64 y)) 2) |
(pow.f64 (+.f64 1 (cos.f64 y)) 2) |
(pow.f64 (+.f64 1 (cos.f64 y)) 2) |
(pow.f64 (+.f64 1 (cos.f64 y)) 2) |
(pow.f64 (+.f64 1 (cos.f64 y)) 2) |
(pow.f64 (+.f64 1 (cos.f64 y)) 2) |
(pow.f64 (+.f64 1 (cos.f64 y)) 2) |
3 |
(+.f64 3 (*.f64 -2 (pow.f64 y 2))) |
(+.f64 (*.f64 -2 (*.f64 y y)) 3) |
(+.f64 3 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4)))) |
(+.f64 (fma.f64 -2 (*.f64 y y) (*.f64 5/12 (pow.f64 y 4))) 3) |
(+.f64 (*.f64 -17/360 (pow.f64 y 6)) (+.f64 3 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4))))) |
(fma.f64 -17/360 (pow.f64 y 6) (+.f64 (fma.f64 -2 (*.f64 y y) (*.f64 5/12 (pow.f64 y 4))) 3)) |
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) |
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) |
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) |
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) |
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) |
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) |
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) |
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) |
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) |
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) |
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) |
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) |
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) |
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) |
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) |
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (*.f64 (*.f64 y y) -1/2)) |
(+.f64 1 (*.f64 y (*.f64 y -1/2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/24))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/24)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y))) |
(+.f64 1 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) |
(+.f64 1 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y))))) |
(+.f64 (+.f64 1 (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) |
(+.f64 1 (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))) |
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 0) |
(pow.f64 (+.f64 1 (cos.f64 y)) 2) |
(+.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 1) |
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(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (*.f64 (cos.f64 y) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)) (neg.f64 (+.f64 2 (cos.f64 y)))) (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y))))) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (*.f64 (cos.f64 y) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)))) |
(*.f64 (cos.f64 y) (*.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)) (/.f64 (fma.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)) (neg.f64 (+.f64 2 (cos.f64 y)))) (*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y)))) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))))) |
(pow.f64 (sqrt.f64 (cos.f64 y)) 2) |
(cos.f64 y) |
(pow.f64 (cbrt.f64 (cos.f64 y)) 3) |
(cos.f64 y) |
(pow.f64 (cos.f64 y) 1) |
(cos.f64 y) |
(pow.f64 (/.f64 1 (cos.f64 y)) -1) |
(/.f64 1 (/.f64 1 (cos.f64 y))) |
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3) |
(cos.f64 y) |
(neg.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (-.f64 -2 (cos.f64 y)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y))))) (-.f64 -2 (cos.f64 y))) |
(sqrt.f64 (pow.f64 (cos.f64 y) 2)) |
(log.f64 (exp.f64 (cos.f64 y))) |
(cos.f64 y) |
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y)))) |
(cos.f64 y) |
(cbrt.f64 (pow.f64 (cos.f64 y) 3)) |
(cos.f64 y) |
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 3) (pow.f64 (+.f64 2 (cos.f64 y)) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y)))) 3) (pow.f64 (+.f64 2 (cos.f64 y)) 3))) |
(cos.f64 y) |
(expm1.f64 (log1p.f64 (cos.f64 y))) |
(cos.f64 y) |
(exp.f64 (log.f64 (cos.f64 y))) |
(cos.f64 y) |
(log1p.f64 (expm1.f64 (cos.f64 y))) |
(cos.f64 y) |
(fma.f64 1 (+.f64 1 (cos.f64 y)) -1) |
(fma.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))) -1) |
Compiled 44734 to 18788 computations (58% saved)
34 alts after pruning (27 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1380 | 11 | 1391 |
| Fresh | 6 | 16 | 22 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 7 | 9 |
| Total | 1389 | 34 | 1423 |
| Status | Error | Program |
|---|---|---|
| 23.4% | (fma.f64 (cos.f64 y) x (/.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 3)) (pow.f64 (sin.f64 y) 2))) | |
| 3.47% | (fma.f64 (cos.f64 y) x (/.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 2)) (sin.f64 y))) | |
| ✓ | 0.23% | (fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
| 70.94% | (pow.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 2) 3) | |
| 61.99% | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) | |
| 64.15% | (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3/2)) 2) | |
| 2.1% | (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3) | |
| ✓ | 42.45% | (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3) |
| 0.39% | (/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) | |
| 53.28% | (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) x) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) (*.f64 y z)) | |
| 0.39% | (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) x) (+.f64 (cos.f64 y) 2)) (*.f64 z (sin.f64 y))) | |
| 53.23% | (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) x) (*.f64 y z)) | |
| 0.3% | (-.f64 (*.f64 x (/.f64 1 (/.f64 1 (cos.f64 y)))) (*.f64 z (sin.f64 y))) | |
| 39% | (-.f64 (*.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (*.f64 y z)) | |
| 0.44% | (-.f64 (*.f64 x (+.f64 (+.f64 (cos.f64 y) -1) 1)) (*.f64 z (sin.f64 y))) | |
| 47.93% | (-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) | |
| ✓ | 0.23% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 23.84% | (-.f64 x (*.f64 z (sin.f64 y))) | |
| ✓ | 52.14% | (-.f64 x (*.f64 y z)) |
| 47.96% | (+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))) | |
| 30.4% | (+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) | |
| 65.24% | (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) | |
| 57.91% | (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))) | |
| ✓ | 65.25% | (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x) |
| 97.75% | (*.f64 (*.f64 (*.f64 -1/2 y) y) x) | |
| 73.79% | (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) | |
| 41.38% | (*.f64 (log1p.f64 (expm1.f64 (cos.f64 y))) x) | |
| 41.33% | (*.f64 (expm1.f64 (log1p.f64 (cos.f64 y))) x) | |
| ✓ | 41.3% | (*.f64 (cos.f64 y) x) |
| 41.42% | (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) x) | |
| 57.79% | (*.f64 z (neg.f64 (sin.f64 y))) | |
| ✓ | 85.69% | (*.f64 y (neg.f64 z)) |
| 77.26% | (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3)) | |
| 63.61% | x |
Compiled 511 to 336 computations (34.2% saved)
| Inputs |
|---|
x |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 y z)) |
(*.f64 (*.f64 (*.f64 -1/2 y) y) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x) |
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) |
(-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) (*.f64 y z)) |
(-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) (*.f64 y z)) |
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) x) (*.f64 y z)) |
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) x) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) (*.f64 y z)) |
(*.f64 (cos.f64 y) x) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) |
(-.f64 (*.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (*.f64 y z)) |
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (*.f64 y z)) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (+.f64 (+.f64 (cos.f64 y) -1) 1)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (/.f64 1 (/.f64 1 (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(*.f64 (expm1.f64 (log1p.f64 (cos.f64 y))) x) |
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 y))) x) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3)) |
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) x) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2) |
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 1/3) x) |
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) |
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 y z)) |
(-.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 y z)) |
(pow.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 2) 3) |
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) |
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3) |
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3) |
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) |
(-.f64 (*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) x) (+.f64 (cos.f64 y) 2)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1))) (*.f64 z (sin.f64 y))) |
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3/2)) 2) |
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 2)) (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 3)) (pow.f64 (sin.f64 y) 2))) |
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))) |
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))) |
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))) |
(*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) (*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))) |
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) |
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
4 calls:
| 65.0ms | x |
| 32.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 26.0ms | y |
| 25.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.23% | 1 | x |
| 0.23% | 1 | y |
| 0.23% | 1 | z |
| 0.23% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 913 to 314 computations (65.6% saved)
| Inputs |
|---|
x |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 y z)) |
(*.f64 (*.f64 (*.f64 -1/2 y) y) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x) |
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) |
(-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) (*.f64 y z)) |
(-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) (*.f64 y z)) |
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) x) (*.f64 y z)) |
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) x) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) (*.f64 y z)) |
(*.f64 (cos.f64 y) x) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) |
(-.f64 (*.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (*.f64 y z)) |
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (*.f64 y z)) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (+.f64 (+.f64 (cos.f64 y) -1) 1)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (/.f64 1 (/.f64 1 (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(*.f64 (expm1.f64 (log1p.f64 (cos.f64 y))) x) |
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 y))) x) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3)) |
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) x) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2) |
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 1/3) x) |
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 177.0ms | z |
| 44.0ms | y |
| 15.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.23% | 1 | x |
| 0.23% | 1 | y |
| 0.23% | 1 | z |
| 0.23% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 326 to 154 computations (52.8% saved)
| Inputs |
|---|
x |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 y z)) |
(*.f64 (*.f64 (*.f64 -1/2 y) y) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x) |
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) |
(-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) (*.f64 y z)) |
(-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) (*.f64 y z)) |
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) x) (*.f64 y z)) |
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) x) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) (*.f64 y z)) |
(*.f64 (cos.f64 y) x) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) |
(-.f64 (*.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (*.f64 y z)) |
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (*.f64 y z)) |
| Outputs |
|---|
(-.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 (cos.f64 y) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
3 calls:
| 70.0ms | y |
| 35.0ms | x |
| 25.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 13.66% | 3 | x |
| 21.74% | 3 | y |
| 11.08% | 3 | z |
Compiled 188 to 93 computations (50.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 76.0ms | 3.699246855320745e-95 | 6.1505332496311265e-89 |
| 30.0ms | -6.170590992790267e-13 | -2.6103696685870096e-15 |
| 68.0ms | 71× | body | 1024 | valid |
| 23.0ms | 144× | body | 256 | valid |
| 12.0ms | 41× | body | 512 | valid |
Compiled 306 to 221 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 y z)) |
(*.f64 (*.f64 (*.f64 -1/2 y) y) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x) |
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) |
(-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) (*.f64 y z)) |
(-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) (*.f64 y z)) |
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) x) (*.f64 y z)) |
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) x) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) (*.f64 y z)) |
(*.f64 (cos.f64 y) x) |
(*.f64 z (neg.f64 (sin.f64 y))) |
| Outputs |
|---|
(*.f64 (cos.f64 y) x) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (cos.f64 y) x) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(-.f64 x (*.f64 y z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (cos.f64 y) x) |
3 calls:
| 86.0ms | y |
| 47.0ms | x |
| 22.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 21.16% | 7 | x |
| 21.23% | 6 | y |
| 24.71% | 3 | z |
Compiled 150 to 78 computations (48% saved)
| 6× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 78.0ms | 1.3687872299743524e+21 | 1.5736520568552694e+31 |
| 41.0ms | 2.4728377342663248e-17 | 2.2818536222226936e-10 |
| 22.0ms | 7.317616120140529e-140 | 2.2082268991431322e-139 |
| 78.0ms | -1.1514264526967777e-112 | -7.533301677007812e-115 |
| 29.0ms | -2.0614202664179448e-47 | -8.669813627074043e-49 |
| 69.0ms | -1.5778144143075777e-6 | -1.5739015758431415e-15 |
| 161.0ms | 462× | body | 256 | valid |
| 118.0ms | 187× | body | 1024 | valid |
| 29.0ms | 103× | body | 512 | valid |
Compiled 831 to 624 computations (24.9% saved)
| Inputs |
|---|
x |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 y z)) |
(*.f64 (*.f64 (*.f64 -1/2 y) y) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x) |
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) |
(-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) (*.f64 y z)) |
(-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) (*.f64 y z)) |
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) x) (*.f64 y z)) |
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) x) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) (*.f64 y z)) |
(*.f64 (cos.f64 y) x) |
| Outputs |
|---|
(*.f64 (cos.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(*.f64 (cos.f64 y) x) |
3 calls:
| 43.0ms | y |
| 21.0ms | x |
| 20.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 35.36% | 3 | x |
| 28.96% | 3 | y |
| 34.82% | 3 | z |
Compiled 145 to 75 computations (48.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 3.138837738845631e-16 | 8.49417377041186e-14 |
| 42.0ms | -0.00028075736971147977 | -2.4026467032404822e-5 |
| 92.0ms | 224× | body | 256 | valid |
Compiled 256 to 181 computations (29.3% saved)
| Inputs |
|---|
x |
(*.f64 y (neg.f64 z)) |
(-.f64 x (*.f64 y z)) |
(*.f64 (*.f64 (*.f64 -1/2 y) y) x) |
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x) |
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) |
(-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) (*.f64 y z)) |
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) (*.f64 y z)) |
(-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) (*.f64 y z)) |
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) x) (*.f64 y z)) |
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) x) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) (*.f64 y z)) |
| Outputs |
|---|
(-.f64 x (*.f64 y z)) |
3 calls:
| 7.0ms | z |
| 7.0ms | x |
| 6.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 52.14% | 1 | x |
| 52.14% | 1 | y |
| 52.14% | 1 | z |
Compiled 141 to 73 computations (48.2% saved)
Total -24.3b remaining (-63.8%)
Threshold costs -24.3b (-63.8%)
| Inputs |
|---|
x |
(*.f64 y (neg.f64 z)) |
| Outputs |
|---|
x |
(*.f64 y (neg.f64 z)) |
x |
3 calls:
| 14.0ms | y |
| 8.0ms | z |
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 59.5% | 3 | x |
| 59.9% | 5 | y |
| 61.42% | 2 | z |
Compiled 20 to 14 computations (30% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 88.0ms | 3.029602512917585e-301 | 4.096986906424994e-287 |
| 37.0ms | -7.533301677007812e-115 | -4.500889822750068e-118 |
| 71.0ms | 66× | body | 1024 | valid |
| 34.0ms | 176× | body | 256 | valid |
| 13.0ms | 46× | body | 512 | valid |
Compiled 252 to 193 computations (23.4% saved)
| 1× | egg-herbie |
| 24× | *-commutative |
| 22× | +-commutative |
| 12× | sub-neg |
| 10× | neg-mul-1 |
| 10× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 346 |
| 1 | 93 | 346 |
| 2 | 111 | 346 |
| 3 | 119 | 346 |
| 4 | 122 | 346 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 z -4436777100798803/1267650600228229401496703205376) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z 4330125386989255/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y))))) |
(if (<=.f64 x -1077503010193995/316912650057057350374175801344) (*.f64 (cos.f64 y) x) (if (<=.f64 x -6252917317820583/1645504557321206042154969182557350504982735865633579863348609024) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 x -4332296397063773/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (*.f64 (cos.f64 y) x) (if (<=.f64 x 4290498537581631/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 x 8897694032363671/77371252455336267181195264) (-.f64 x (*.f64 y z)) (if (<=.f64 x 1400000000000000000000) (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (cos.f64 y) x))))))) |
(if (<=.f64 y -2582544170319337/9223372036854775808) (*.f64 (cos.f64 y) x) (if (<=.f64 y 1663791412799551/19807040628566084398385987584) (-.f64 x (*.f64 y z)) (*.f64 (cos.f64 y) x))) |
(-.f64 x (*.f64 y z)) |
(if (<=.f64 x -3460291778262777/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) x (if (<=.f64 x 4028872363020365/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016) (*.f64 y (neg.f64 z)) x)) |
x |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(if (<=.f64 z -4436777100798803/1267650600228229401496703205376) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z 4330125386989255/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y))))) |
(if (or (<=.f64 z -4436777100798803/1267650600228229401496703205376) (not (<=.f64 z 4330125386989255/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936))) (-.f64 x (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(if (<=.f64 x -1077503010193995/316912650057057350374175801344) (*.f64 (cos.f64 y) x) (if (<=.f64 x -6252917317820583/1645504557321206042154969182557350504982735865633579863348609024) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 x -4332296397063773/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (*.f64 (cos.f64 y) x) (if (<=.f64 x 4290498537581631/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 x 8897694032363671/77371252455336267181195264) (-.f64 x (*.f64 y z)) (if (<=.f64 x 1400000000000000000000) (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (cos.f64 y) x))))))) |
(if (<=.f64 y -2582544170319337/9223372036854775808) (*.f64 (cos.f64 y) x) (if (<=.f64 y 1663791412799551/19807040628566084398385987584) (-.f64 x (*.f64 y z)) (*.f64 (cos.f64 y) x))) |
(if (or (<=.f64 y -2582544170319337/9223372036854775808) (not (<=.f64 y 1663791412799551/19807040628566084398385987584))) (*.f64 (cos.f64 y) x) (-.f64 x (*.f64 y z))) |
(-.f64 x (*.f64 y z)) |
(if (<=.f64 x -3460291778262777/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) x (if (<=.f64 x 4028872363020365/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016) (*.f64 y (neg.f64 z)) x)) |
x |
Compiled 155 to 92 computations (40.6% saved)
Compiled 134 to 54 computations (59.7% saved)
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