Time bar (total: 5.5s)
| 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 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 6 |
| 62.5% | 62.4% | 37.5% | 0.1% | 0% | 0% | 0% | 7 |
| 70.3% | 70.2% | 29.7% | 0.1% | 0% | 0% | 0% | 8 |
| 78.1% | 78% | 21.9% | 0.1% | 0% | 0% | 0% | 9 |
| 83.2% | 83.1% | 16.8% | 0.1% | 0% | 0% | 0% | 10 |
| 88.3% | 88.2% | 11.7% | 0.1% | 0% | 0% | 0% | 11 |
| 91.1% | 91% | 8.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 6 computations (33.3% saved)
| 841.0ms | 5951× | body | 256 | valid |
| 479.0ms | 1400× | body | 1024 | valid |
| 255.0ms | 904× | body | 512 | valid |
| 1.0ms | 1× | body | 2048 | valid |
| 2× | egg-herbie |
| 12× | *-commutative |
| 8× | associate-/l* |
| 4× | associate-/r/ |
| 4× | associate-*r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 34 |
| 1 | 17 | 34 |
| 2 | 23 | 34 |
| 3 | 29 | 34 |
| 4 | 31 | 34 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
| 6× | *-commutative |
| 4× | associate-/l* |
| 2× | associate-/r/ |
| 2× | associate-*r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 11 | 17 |
| 2 | 14 | 17 |
| 3 | 18 | 17 |
| 4 | 19 | 17 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
Compiled 8 to 5 computations (37.5% 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 |
|---|---|---|
| ▶ | 0.2b | (*.f64 x (/.f64 (sin.f64 y) y)) |
Compiled 8 to 5 computations (37.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | 0.1b | (/.f64 (sin.f64 y) y) |
Compiled 16 to 5 computations (68.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 1.0ms | y | @ | inf | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 1.0ms | y | @ | -inf | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 1.0ms | y | @ | -inf | (/.f64 (sin.f64 y) y) |
| 0.0ms | x | @ | inf | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 1× | batch-egg-rewrite |
| 1738× | add-sqr-sqrt |
| 1726× | *-un-lft-identity |
| 1600× | add-cube-cbrt |
| 1574× | add-cbrt-cube |
| 170× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 1 | 163 | 28 |
| 2 | 2118 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 y) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (sin.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) x))))))) |
| 1× | egg-herbie |
| 1376× | associate-*r/ |
| 1038× | associate-*l/ |
| 842× | unswap-sqr |
| 768× | associate-/l* |
| 720× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 1330 |
| 1 | 372 | 1322 |
| 2 | 1479 | 1304 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1) |
(*.f64 (sin.f64 y) (/.f64 1 y)) |
(*.f64 (/.f64 (sin.f64 y) y) 1) |
(*.f64 1 (/.f64 (sin.f64 y) y)) |
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 1 y) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y))) |
(pow.f64 (/.f64 (sin.f64 y) y) 1) |
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3) |
(pow.f64 (/.f64 y (sin.f64 y)) -1) |
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y))) |
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2)) |
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y)))) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) |
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) 1) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 x (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) 1) y) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y)) |
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 y y))) |
(fma.f64 -1/6 (*.f64 y y) 1) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 y -1/6)))) |
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) |
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))) |
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))) |
(+.f64 (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1)) |
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/6 (*.f64 (*.f64 y y) x) x) |
(*.f64 (fma.f64 -1/6 (*.f64 y y) 1) x) |
(fma.f64 (*.f64 y (*.f64 -1/6 y)) x x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(fma.f64 -1/6 (*.f64 (*.f64 y y) x) (fma.f64 1/120 (*.f64 (pow.f64 y 4) x) x)) |
(+.f64 x (*.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 y -1/6))))) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(fma.f64 -1/6 (*.f64 (*.f64 y y) x) (fma.f64 1/120 (*.f64 (pow.f64 y 4) x) (fma.f64 -1/5040 (*.f64 (pow.f64 y 6) x) x))) |
(+.f64 (*.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) x) (*.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 y -1/6))))) |
(+.f64 x (*.f64 x (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 -1/6 y)))))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1) |
(/.f64 (sin.f64 y) y) |
(*.f64 (sin.f64 y) (/.f64 1 y)) |
(/.f64 (sin.f64 y) y) |
(*.f64 (/.f64 (sin.f64 y) y) 1) |
(/.f64 (sin.f64 y) y) |
(*.f64 1 (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y))) |
(/.f64 (sin.f64 y) y) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))) |
(/.f64 (sin.f64 y) y) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y))) |
(/.f64 (sin.f64 y) y) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) |
(/.f64 (sin.f64 y) y) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y))) |
(/.f64 (sin.f64 y) y) |
(*.f64 (/.f64 1 y) (sin.f64 y)) |
(/.f64 (sin.f64 y) y) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y))) |
(/.f64 (sin.f64 y) y) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))) |
(/.f64 (sin.f64 y) y) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y))) |
(/.f64 (sin.f64 y) y) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)) |
(/.f64 (sin.f64 y) y) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y))) |
(/.f64 (sin.f64 y) y) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y)) |
(/.f64 (sin.f64 y) y) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y))) |
(/.f64 (sin.f64 y) y) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))) |
(pow.f64 (/.f64 (sin.f64 y) y) 1) |
(/.f64 (sin.f64 y) y) |
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2) |
(/.f64 (sin.f64 y) y) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3) |
(/.f64 (sin.f64 y) y) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3) |
(/.f64 (sin.f64 y) y) |
(pow.f64 (/.f64 y (sin.f64 y)) -1) |
(/.f64 (sin.f64 y) y) |
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y))) |
(/.f64 (sin.f64 y) y) |
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2)) |
(/.f64 (sin.f64 y) y) |
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y))) |
(/.f64 (sin.f64 y) y) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y)))) |
(/.f64 (sin.f64 y) y) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)) |
(/.f64 (sin.f64 y) y) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) |
(/.f64 (sin.f64 y) y) |
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y))) |
(/.f64 (sin.f64 y) y) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1)) |
(/.f64 (sin.f64 y) y) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y))) |
(/.f64 (sin.f64 y) y) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) 1) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 x (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (neg.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) 1) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 1) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 3) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3) 1/3) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 2)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 1)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
Compiled 939 to 447 computations (52.4% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 73 | 11 | 84 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 73 | 12 | 85 |
| Status | Error | Program |
|---|---|---|
| 23.1b | (pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2) | |
| 7.1b | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) | |
| ▶ | 33.8b | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y)) |
| ▶ | 6.2b | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ▶ | 0.2b | (/.f64 x (/.f64 y (sin.f64 y))) |
| ▶ | 6.8b | (/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x))) |
| 5.2b | (*.f64 (sin.f64 y) (/.f64 x y)) | |
| ✓ | 0.2b | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ▶ | 34.7b | (*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y)))) |
| 31.5b | (*.f64 x (*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))) | |
| 0.2b | (*.f64 x (*.f64 (/.f64 1 y) (sin.f64 y))) | |
| 34.1b | x |
Compiled 225 to 147 computations (34.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 y (sin.f64 y)) |
| ✓ | 0.1b | (/.f64 x (/.f64 y (sin.f64 y))) |
Compiled 16 to 5 computations (68.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (/.f64 y (sin.f64 y)) |
| 0.0ms | y | @ | -inf | (/.f64 y (sin.f64 y)) |
| 0.0ms | y | @ | 0 | (/.f64 y (sin.f64 y)) |
| 0.0ms | x | @ | 0 | (/.f64 x (/.f64 y (sin.f64 y))) |
| 0.0ms | y | @ | 0 | (/.f64 x (/.f64 y (sin.f64 y))) |
| 1× | batch-egg-rewrite |
| 1936× | add-sqr-sqrt |
| 1924× | *-un-lft-identity |
| 1792× | add-cube-cbrt |
| 1766× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 1 | 169 | 28 |
| 2 | 2361 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 y (sin.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 x (sqrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 x (cbrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 (sin.f64 y) y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y)))))))) |
| 1× | egg-herbie |
| 1616× | associate-/l* |
| 1406× | associate-/r* |
| 1124× | unswap-sqr |
| 732× | *-commutative |
| 408× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 207 | 1716 |
| 1 | 532 | 1712 |
| 2 | 2220 | 1712 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
1 |
(+.f64 1 (*.f64 1/6 (pow.f64 y 2))) |
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))) |
(+.f64 1 (+.f64 (*.f64 31/15120 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) 1) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 1) |
(*.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) |
(*.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sin.f64 y) y))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) (sin.f64 y)))) |
(*.f64 (*.f64 (/.f64 x y) 1) (sin.f64 y)) |
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) |
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y))) |
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sin.f64 y)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 x (sqrt.f64 (/.f64 y (sin.f64 y))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 x (cbrt.f64 (/.f64 y (sin.f64 y))))) |
(*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y (sin.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) |
(pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 3) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 3) 1/3) |
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) -1) |
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y)))) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (sin.f64 y) y))))) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) |
(exp.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1) |
(*.f64 y (/.f64 1 (sin.f64 y))) |
(*.f64 (/.f64 y (sin.f64 y)) 1) |
(*.f64 1 (/.f64 y (sin.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (sin.f64 y)))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y)))) |
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 y (sin.f64 y)))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y)))) |
(*.f64 (/.f64 1 (sin.f64 y)) y) |
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sin.f64 y)))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sin.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sin.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (sin.f64 y)))) |
(pow.f64 (/.f64 y (sin.f64 y)) 1) |
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2) |
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3) |
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 y) y) -1) |
(neg.f64 (/.f64 y (neg.f64 (sin.f64 y)))) |
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2)) |
(log.f64 (exp.f64 (/.f64 y (sin.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sin.f64 y))))) |
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) |
(exp.f64 (log.f64 (/.f64 y (sin.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y)))) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) x) |
(fma.f64 -1/6 (*.f64 y (*.f64 y x)) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x)) |
(fma.f64 -1/6 (*.f64 y (*.f64 y x)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x))) |
(fma.f64 -1/6 (*.f64 y (*.f64 y x)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
1 |
(+.f64 1 (*.f64 1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 (*.f64 y y) 1/6)) |
(fma.f64 (*.f64 y y) 1/6 1) |
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (*.f64 (pow.f64 y 4) 7/360))) |
(+.f64 (fma.f64 (*.f64 y y) 1/6 1) (*.f64 (pow.f64 y 4) 7/360)) |
(+.f64 1 (fma.f64 (pow.f64 y 4) 7/360 (*.f64 y (*.f64 y 1/6)))) |
(+.f64 1 (+.f64 (*.f64 31/15120 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4))))) |
(+.f64 1 (fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (*.f64 (pow.f64 y 4) 7/360)))) |
(+.f64 1 (fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 (*.f64 y y) 1/6 (*.f64 (pow.f64 y 4) 7/360)))) |
(+.f64 1 (fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 (pow.f64 y 4) 7/360 (*.f64 y (*.f64 y 1/6))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) 1) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 1) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sin.f64 y) y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) (sin.f64 y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (*.f64 (/.f64 x y) 1) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sin.f64 y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 x (sqrt.f64 (/.f64 y (sin.f64 y))))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 x (cbrt.f64 (/.f64 y (sin.f64 y))))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y (sin.f64 y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y (sin.f64 y))))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y (sin.f64 y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y))))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))) |
(/.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 1) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 3) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 3) 1/3) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) -1) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 2)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (sin.f64 y) y))))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 3)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(exp.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 1)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1) |
(/.f64 y (sin.f64 y)) |
(*.f64 y (/.f64 1 (sin.f64 y))) |
(/.f64 y (sin.f64 y)) |
(*.f64 (/.f64 y (sin.f64 y)) 1) |
(/.f64 y (sin.f64 y)) |
(*.f64 1 (/.f64 y (sin.f64 y))) |
(/.f64 y (sin.f64 y)) |
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 y (sin.f64 y)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y)))) |
(/.f64 y (sin.f64 y)) |
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) |
(/.f64 y (sin.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 y (sin.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y)))) |
(/.f64 y (sin.f64 y)) |
(*.f64 (/.f64 1 (sin.f64 y)) y) |
(/.f64 y (sin.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sin.f64 y)))) |
(/.f64 y (sin.f64 y)) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y)))) |
(/.f64 y (sin.f64 y)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y)))) |
(/.f64 y (sin.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sin.f64 y))) |
(/.f64 y (sin.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y)))) |
(/.f64 y (sin.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sin.f64 y))) |
(/.f64 y (sin.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y)))) |
(/.f64 y (sin.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (sin.f64 y)))) |
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) |
(/.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2))) |
(pow.f64 (/.f64 y (sin.f64 y)) 1) |
(/.f64 y (sin.f64 y)) |
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2) |
(/.f64 y (sin.f64 y)) |
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3) |
(/.f64 y (sin.f64 y)) |
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3) |
(/.f64 y (sin.f64 y)) |
(pow.f64 (/.f64 (sin.f64 y) y) -1) |
(/.f64 y (sin.f64 y)) |
(neg.f64 (/.f64 y (neg.f64 (sin.f64 y)))) |
(/.f64 y (sin.f64 y)) |
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2)) |
(/.f64 y (sin.f64 y)) |
(log.f64 (exp.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 y (sin.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sin.f64 y))))) |
(/.f64 y (sin.f64 y)) |
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3)) |
(/.f64 y (sin.f64 y)) |
(expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 y (sin.f64 y)) |
(exp.f64 (log.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 y (sin.f64 y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1)) |
(/.f64 y (sin.f64 y)) |
(log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 y (sin.f64 y)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (*.f64 -1/6 (*.f64 y y)) |
| ✓ | 2.1b | (*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y)))) |
Compiled 30 to 16 computations (46.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y)))) |
| 1.0ms | x | @ | 0 | (*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y)))) |
| 0.0ms | y | @ | inf | (*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y)))) |
| 0.0ms | x | @ | inf | (*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y)))) |
| 0.0ms | x | @ | -inf | (*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y)))) |
| 1× | batch-egg-rewrite |
| 914× | *-commutative |
| 742× | unswap-sqr |
| 564× | swap-sqr |
| 504× | associate-*r/ |
| 486× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 38 |
| 1 | 209 | 34 |
| 2 | 2634 | 34 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y)))) |
(*.f64 -1/6 (*.f64 y y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 y y) (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (*.f64 y y) (*.f64 x -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)) (/.f64 (+.f64 1 (*.f64 y (*.f64 y 1/6))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 -1/216 (pow.f64 y 6))) (/.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) 1/6))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 x (*.f64 -1/216 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(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (*.f64 y y) (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (*.f64 y y) (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y y) (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (*.f64 y y) (*.f64 x -1/6))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 -1/6 (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (*.f64 y y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y y) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 y (*.f64 y 1/6)))) (+.f64 (/.f64 (*.f64 1/36 (pow.f64 y 4)) (+.f64 1 (*.f64 y (*.f64 y 1/6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/216 (pow.f64 y 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/216 (pow.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 y y)))))))) |
| 1× | egg-herbie |
| 858× | associate-/l* |
| 818× | fma-def |
| 754× | *-commutative |
| 714× | times-frac |
| 538× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 222 | 3565 |
| 1 | 577 | 3365 |
| 2 | 1884 | 3299 |
| 3 | 7038 | 3299 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(+.f64 x (*.f64 (*.f64 y y) (*.f64 x -1/6))) |
(+.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) x) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (*.f64 y y) (*.f64 x -1/6)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))) 1) |
(-.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) (exp.f64 (log1p.f64 x))) 1) |
(/.f64 x (/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))) |
(/.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)) (/.f64 (+.f64 1 (*.f64 y (*.f64 y 1/6))) x)) |
(/.f64 (+.f64 1 (*.f64 -1/216 (pow.f64 y 6))) (/.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) 1/6))) x)) |
(/.f64 (+.f64 x (*.f64 x (*.f64 -1/216 (pow.f64 y 6)))) (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) 1/6)))) |
(/.f64 (+.f64 x (*.f64 x (*.f64 (pow.f64 y 4) -1/36))) (+.f64 1 (*.f64 y (*.f64 y 1/6)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) 2)) (+.f64 x (*.f64 1/6 (*.f64 x (*.f64 y y))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) 3)) (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) (-.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) x)))) |
(/.f64 (*.f64 x (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1)) (-.f64 (*.f64 -1/6 (*.f64 y y)) 1)) |
(/.f64 (*.f64 x (+.f64 -1 (neg.f64 (*.f64 (pow.f64 y 4) -1/36)))) (+.f64 -1 (neg.f64 (*.f64 y (*.f64 y 1/6))))) |
(/.f64 (*.f64 x (+.f64 -1 (neg.f64 (*.f64 -1/216 (pow.f64 y 6))))) (+.f64 -1 (neg.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) 1/6))))) |
(/.f64 (*.f64 1 (+.f64 x (*.f64 x (*.f64 (pow.f64 y 4) -1/36)))) (+.f64 1 (*.f64 y (*.f64 y 1/6)))) |
(/.f64 (*.f64 1 (+.f64 x (*.f64 x (*.f64 -1/216 (pow.f64 y 6))))) (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) 1/6)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) 2))) (+.f64 x (*.f64 1/6 (*.f64 x (*.f64 y y))))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) 3))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) (-.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) x)))) |
(/.f64 (*.f64 (*.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))) (sqrt.f64 (+.f64 1 (*.f64 -1/216 (pow.f64 y 6))))) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) 1/6))))) |
(/.f64 (*.f64 (*.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))) (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)))) (sqrt.f64 (+.f64 1 (*.f64 y (*.f64 y 1/6))))) |
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 2)) (cbrt.f64 (+.f64 1 (*.f64 -1/216 (pow.f64 y 6))))) (cbrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) 1/6))))) |
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 2)) (cbrt.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)))) (cbrt.f64 (+.f64 1 (*.f64 y (*.f64 y 1/6))))) |
(/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) x) (-.f64 (*.f64 -1/6 (*.f64 y y)) 1)) |
(/.f64 (*.f64 (+.f64 -1 (neg.f64 (*.f64 (pow.f64 y 4) -1/36))) x) (+.f64 -1 (neg.f64 (*.f64 y (*.f64 y 1/6))))) |
(/.f64 (*.f64 (+.f64 -1 (neg.f64 (*.f64 -1/216 (pow.f64 y 6)))) x) (+.f64 -1 (neg.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) 1/6))))) |
(/.f64 (*.f64 (+.f64 x (*.f64 x (*.f64 (pow.f64 y 4) -1/36))) 1) (+.f64 1 (*.f64 y (*.f64 y 1/6)))) |
(/.f64 (*.f64 (+.f64 x (*.f64 x (*.f64 -1/216 (pow.f64 y 6)))) 1) (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) 1/6)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) 2)) 1) (+.f64 x (*.f64 1/6 (*.f64 x (*.f64 y y))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) 3)) 1) (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) (-.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) x)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 -1/216 (pow.f64 y 6)))) (*.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))))) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) 1/6))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))) (*.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))))) (sqrt.f64 (+.f64 1 (*.f64 y (*.f64 y 1/6))))) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (*.f64 (pow.f64 y 4) -1/36))) 1) (+.f64 1 (*.f64 y (*.f64 y 1/6)))) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (*.f64 (pow.f64 y 4) -1/36))) (sqrt.f64 (+.f64 1 (*.f64 y (*.f64 y 1/6))))) (sqrt.f64 (+.f64 1 (*.f64 y (*.f64 y 1/6))))) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (*.f64 (pow.f64 y 4) -1/36))) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 y (*.f64 y 1/6)))) (cbrt.f64 (+.f64 1 (*.f64 y (*.f64 y 1/6)))))) (cbrt.f64 (+.f64 1 (*.f64 y (*.f64 y 1/6))))) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (*.f64 -1/216 (pow.f64 y 6)))) 1) (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) 1/6)))) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (*.f64 -1/216 (pow.f64 y 6)))) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) 1/6))))) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) 1/6))))) |
(/.f64 (/.f64 (+.f64 x (*.f64 x (*.f64 -1/216 (pow.f64 y 6)))) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) 1/6)))) (cbrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) 1/6)))))) (cbrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) 1/6))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) 2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) x)) |
(pow.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))) 3) |
(pow.f64 (pow.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))) |
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))) |
(exp.f64 (log.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))) |
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))) |
(fma.f64 x 1 (*.f64 (*.f64 y y) (*.f64 x -1/6))) |
(fma.f64 1 x (*.f64 (*.f64 y y) (*.f64 x -1/6))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y y) (*.f64 x -1/6))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (*.f64 y y) (*.f64 x -1/6))) |
(+.f64 1 (-.f64 (*.f64 -1/6 (*.f64 y y)) 1)) |
(+.f64 (*.f64 -1/6 (*.f64 y y)) 0) |
(-.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y y) 1))) 2) |
(-.f64 (/.f64 1 (+.f64 1 (*.f64 y (*.f64 y 1/6)))) (+.f64 (/.f64 (*.f64 1/36 (pow.f64 y 4)) (+.f64 1 (*.f64 y (*.f64 y 1/6)))) 1)) |
(pow.f64 (*.f64 -1/6 (*.f64 y y)) 1) |
(pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2) |
(pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 y y))) 3) |
(pow.f64 (*.f64 -1/216 (pow.f64 y 6)) 1/3) |
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4))) |
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 y y))))) |
(cbrt.f64 (*.f64 -1/216 (pow.f64 y 6))) |
(expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y)))) |
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 y y)))) |
(log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 y y)))) |
| Outputs |
|---|
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 x (*.f64 -1/6 (*.f64 y y))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 x (*.f64 -1/6 (*.f64 y y))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(+.f64 x (*.f64 (*.f64 y y) (*.f64 x -1/6))) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(+.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (*.f64 y y) (*.f64 x -1/6)))) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))) 1) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(-.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) (exp.f64 (log1p.f64 x))) 1) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(/.f64 x (/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(/.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)) (/.f64 (+.f64 1 (*.f64 y (*.f64 y 1/6))) x)) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)) (+.f64 1 (*.f64 y (*.f64 y 1/6)))) x) |
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (/.f64 (fma.f64 y (*.f64 y 1/6) 1) x)) |
(/.f64 (fma.f64 x (*.f64 (pow.f64 y 4) -1/36) x) (fma.f64 y (*.f64 y 1/6) 1)) |
(/.f64 (+.f64 1 (*.f64 -1/216 (pow.f64 y 6))) (/.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) 1/6))) x)) |
(/.f64 (+.f64 1 (*.f64 -1/216 (pow.f64 y 6))) (/.f64 (+.f64 1 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) 1/36 1/6)))) x)) |
(/.f64 (fma.f64 (*.f64 x -1/216) (pow.f64 y 6) x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y 1/36) 1/6)) 1)) |
(*.f64 x (/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y 1/36) 1/6)) 1))) |
(/.f64 (+.f64 x (*.f64 x (*.f64 -1/216 (pow.f64 y 6)))) (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) 1/6)))) |
(/.f64 (+.f64 1 (*.f64 -1/216 (pow.f64 y 6))) (/.f64 (+.f64 1 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) 1/36 1/6)))) x)) |
(/.f64 (fma.f64 (*.f64 x -1/216) (pow.f64 y 6) x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y 1/36) 1/6)) 1)) |
(*.f64 x (/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y 1/36) 1/6)) 1))) |
(/.f64 (+.f64 x (*.f64 x (*.f64 (pow.f64 y 4) -1/36))) (+.f64 1 (*.f64 y (*.f64 y 1/6)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)) (+.f64 1 (*.f64 y (*.f64 y 1/6)))) x) |
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (/.f64 (fma.f64 y (*.f64 y 1/6) 1) x)) |
(/.f64 (fma.f64 x (*.f64 (pow.f64 y 4) -1/36) x) (fma.f64 y (*.f64 y 1/6) 1)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) 2)) (+.f64 x (*.f64 1/6 (*.f64 x (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 -1/6 (*.f64 x (*.f64 y y))) 2)) (+.f64 x (*.f64 1/6 (*.f64 x (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 -1/6 (*.f64 y y))) 2)) (fma.f64 1/6 (*.f64 x (*.f64 y y)) x)) |
(/.f64 (-.f64 0 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 y 4) 1/36 -1))) (*.f64 x (fma.f64 y (*.f64 y 1/6) 1))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) 3)) (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) (-.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (*.f64 x (*.f64 y y))) 3)) (fma.f64 x x (*.f64 (*.f64 -1/6 (*.f64 x (*.f64 y y))) (fma.f64 (*.f64 y y) (*.f64 -1/6 x) (neg.f64 x))))) |
(/.f64 (fma.f64 (pow.f64 y 6) (*.f64 -1/216 (pow.f64 x 3)) (pow.f64 x 3)) (fma.f64 (*.f64 x (*.f64 -1/6 (*.f64 y y))) (-.f64 (*.f64 x (*.f64 -1/6 (*.f64 y y))) x) (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (pow.f64 x 3)) (*.f64 x (+.f64 x (*.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) -1)) (*.f64 -1/6 (*.f64 y y)))))) |
(/.f64 (*.f64 x (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1)) (-.f64 (*.f64 -1/6 (*.f64 y y)) 1)) |
(/.f64 x (/.f64 (fma.f64 -1/6 (*.f64 y y) -1) (fma.f64 1/36 (pow.f64 y 4) -1))) |
(/.f64 x (/.f64 (fma.f64 -1/6 (*.f64 y y) -1) (fma.f64 (pow.f64 y 4) 1/36 -1))) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 y 4) 1/36 -1) (fma.f64 -1/6 (*.f64 y y) -1))) |
(/.f64 (*.f64 x (+.f64 -1 (neg.f64 (*.f64 (pow.f64 y 4) -1/36)))) (+.f64 -1 (neg.f64 (*.f64 y (*.f64 y 1/6))))) |
(/.f64 x (/.f64 (fma.f64 -1/6 (*.f64 y y) -1) (fma.f64 1/36 (pow.f64 y 4) -1))) |
(/.f64 x (/.f64 (fma.f64 -1/6 (*.f64 y y) -1) (fma.f64 (pow.f64 y 4) 1/36 -1))) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 y 4) 1/36 -1) (fma.f64 -1/6 (*.f64 y y) -1))) |
(/.f64 (*.f64 x (+.f64 -1 (neg.f64 (*.f64 -1/216 (pow.f64 y 6))))) (+.f64 -1 (neg.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) 1/6))))) |
(/.f64 x (/.f64 (-.f64 -1 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) 1/36 1/6)))) (+.f64 -1 (*.f64 1/216 (pow.f64 y 6))))) |
(*.f64 (/.f64 x (-.f64 -1 (*.f64 y (*.f64 y (fma.f64 y (*.f64 y 1/36) 1/6))))) (fma.f64 1/216 (pow.f64 y 6) -1)) |
(/.f64 (fma.f64 (pow.f64 y 6) 1/216 -1) (/.f64 (-.f64 (*.f64 (pow.f64 y 4) -1/36) (fma.f64 y (*.f64 y 1/6) 1)) x)) |
(/.f64 (*.f64 1 (+.f64 x (*.f64 x (*.f64 (pow.f64 y 4) -1/36)))) (+.f64 1 (*.f64 y (*.f64 y 1/6)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)) (+.f64 1 (*.f64 y (*.f64 y 1/6)))) x) |
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (/.f64 (fma.f64 y (*.f64 y 1/6) 1) x)) |
(/.f64 (fma.f64 x (*.f64 (pow.f64 y 4) -1/36) x) (fma.f64 y (*.f64 y 1/6) 1)) |
(/.f64 (*.f64 1 (+.f64 x (*.f64 x (*.f64 -1/216 (pow.f64 y 6))))) (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) 1/6)))) |
(/.f64 (+.f64 1 (*.f64 -1/216 (pow.f64 y 6))) (/.f64 (+.f64 1 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) 1/36 1/6)))) x)) |
(/.f64 (fma.f64 (*.f64 x -1/216) (pow.f64 y 6) x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y 1/36) 1/6)) 1)) |
(*.f64 x (/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y 1/36) 1/6)) 1))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) 2))) (+.f64 x (*.f64 1/6 (*.f64 x (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 -1/6 (*.f64 x (*.f64 y y))) 2)) (+.f64 x (*.f64 1/6 (*.f64 x (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 -1/6 (*.f64 y y))) 2)) (fma.f64 1/6 (*.f64 x (*.f64 y y)) x)) |
(/.f64 (-.f64 0 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 y 4) 1/36 -1))) (*.f64 x (fma.f64 y (*.f64 y 1/6) 1))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) 3))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) (-.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (*.f64 x (*.f64 y y))) 3)) (fma.f64 x x (*.f64 (*.f64 -1/6 (*.f64 x (*.f64 y y))) (fma.f64 (*.f64 y y) (*.f64 -1/6 x) (neg.f64 x))))) |
(/.f64 (fma.f64 (pow.f64 y 6) (*.f64 -1/216 (pow.f64 x 3)) (pow.f64 x 3)) (fma.f64 (*.f64 x (*.f64 -1/6 (*.f64 y y))) (-.f64 (*.f64 x (*.f64 -1/6 (*.f64 y y))) x) (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (pow.f64 x 3)) (*.f64 x (+.f64 x (*.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) -1)) (*.f64 -1/6 (*.f64 y y)))))) |
(/.f64 (*.f64 (*.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))) (sqrt.f64 (+.f64 1 (*.f64 -1/216 (pow.f64 y 6))))) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) 1/6))))) |
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(pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2) |
(*.f64 -1/6 (*.f64 y y)) |
(pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 y y))) 3) |
(*.f64 -1/6 (*.f64 y y)) |
(pow.f64 (*.f64 -1/216 (pow.f64 y 6)) 1/3) |
(cbrt.f64 (*.f64 -1/216 (pow.f64 y 6))) |
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4))) |
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36)) |
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y))) |
(*.f64 -1/6 (*.f64 y y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 y y))))) |
(*.f64 -1/6 (*.f64 y y)) |
(cbrt.f64 (*.f64 -1/216 (pow.f64 y 6))) |
(expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y)))) |
(*.f64 -1/6 (*.f64 y y)) |
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 y y)))) |
(*.f64 -1/6 (*.f64 y y)) |
(log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 y y)))) |
(*.f64 -1/6 (*.f64 y y)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (sin.f64 y) x) |
| ✓ | 6.2b | (/.f64 (*.f64 (sin.f64 y) x) y) |
Compiled 16 to 5 computations (68.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 (sin.f64 y) x) |
| 0.0ms | x | @ | -inf | (*.f64 (sin.f64 y) x) |
| 0.0ms | y | @ | inf | (*.f64 (sin.f64 y) x) |
| 0.0ms | y | @ | -inf | (*.f64 (sin.f64 y) x) |
| 0.0ms | y | @ | 0 | (*.f64 (sin.f64 y) x) |
| 1× | batch-egg-rewrite |
| 1800× | add-sqr-sqrt |
| 1788× | *-un-lft-identity |
| 1662× | add-cube-cbrt |
| 1636× | add-cbrt-cube |
| 170× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 1 | 163 | 28 |
| 2 | 2178 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (sin.f64 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sin.f64 y) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 (sin.f64 y) x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x))))))) |
| 1× | egg-herbie |
| 1550× | associate-*r/ |
| 1342× | associate-/l* |
| 916× | associate-*l/ |
| 762× | unswap-sqr |
| 724× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 1359 |
| 1 | 445 | 1305 |
| 2 | 1845 | 1299 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) 1) |
(*.f64 (sin.f64 y) (*.f64 x (/.f64 1 y))) |
(*.f64 (sin.f64 y) (/.f64 1 (/.f64 y x))) |
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y))) |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 1) |
(*.f64 1 (*.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 1 y))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 1 y))) |
(*.f64 (/.f64 1 y) (*.f64 (sin.f64 y) x)) |
(*.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (/.f64 1 (neg.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 (sin.f64 y) x) (cbrt.f64 y))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (sin.f64 y) 1) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) y)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) |
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3) 1/3) |
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) -1) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1) |
(pow.f64 (*.f64 (sin.f64 y) x) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) x)))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) x) |
(fma.f64 -1/6 (*.f64 y (*.f64 x y)) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x)) |
(fma.f64 -1/6 (*.f64 y (*.f64 x y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x))) |
(+.f64 x (*.f64 x (+.f64 (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 -1/6 (*.f64 y y))) (*.f64 -1/5040 (pow.f64 y 6))))) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))) |
(fma.f64 y x (*.f64 -1/6 (*.f64 x (pow.f64 y 3)))) |
(*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))) |
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 y x (*.f64 -1/6 (*.f64 x (pow.f64 y 3))))) |
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))) |
(*.f64 x (+.f64 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) (*.f64 1/120 (pow.f64 y 5)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))) |
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (*.f64 x (pow.f64 y 7)) (*.f64 -1/6 (*.f64 x (pow.f64 y 3)))))) |
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 x y (*.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (*.f64 -1/5040 (pow.f64 y 7)))))) |
(*.f64 x (+.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (*.f64 -1/5040 (pow.f64 y 7))) (+.f64 y (*.f64 1/120 (pow.f64 y 5))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) 1) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (sin.f64 y) (*.f64 x (/.f64 1 y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (sin.f64 y) (/.f64 1 (/.f64 y x))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 1) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 1 (*.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 1 y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 1 y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 1 y) (*.f64 (sin.f64 y) x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (/.f64 1 (neg.f64 y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) x))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 (sin.f64 y) x) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (/.f64 (cbrt.f64 y) x))) |
(*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) x))) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) 1) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) x))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (/.f64 (cbrt.f64 y) x))) |
(*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (/.f64 (cbrt.f64 y) x))) |
(*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (/.f64 (cbrt.f64 y) x))) |
(*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) x))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))) |
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 1) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 3) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3) 1/3) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) -1) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 2)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 1)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1) |
(*.f64 x (sin.f64 y)) |
(pow.f64 (*.f64 (sin.f64 y) x) 1) |
(*.f64 x (sin.f64 y)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2) |
(*.f64 x (sin.f64 y)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3) |
(*.f64 x (sin.f64 y)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3) |
(*.f64 x (sin.f64 y)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)) |
(*.f64 x (sin.f64 y)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) x)) |
(*.f64 x (sin.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) x)))) |
(*.f64 x (sin.f64 y)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3)) |
(*.f64 x (sin.f64 y)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 x (sin.f64 y)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 x (sin.f64 y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) 1)) |
(*.f64 x (sin.f64 y)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 x (sin.f64 y)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 (sin.f64 y) x) | |
| ✓ | 0.7b | (/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x))) |
| ✓ | 6.2b | (/.f64 y (*.f64 (sin.f64 y) x)) |
Compiled 25 to 8 computations (68% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 y (*.f64 (sin.f64 y) x)) |
| 1.0ms | y | @ | -inf | (/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x))) |
| 0.0ms | y | @ | inf | (/.f64 y (*.f64 (sin.f64 y) x)) |
| 0.0ms | y | @ | 0 | (/.f64 y (*.f64 (sin.f64 y) x)) |
| 0.0ms | x | @ | -inf | (/.f64 y (*.f64 (sin.f64 y) x)) |
| 1× | batch-egg-rewrite |
| 1384× | associate-*r/ |
| 1276× | associate-/l* |
| 1032× | associate-*l/ |
| 986× | *-commutative |
| 628× | swap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 40 |
| 1 | 204 | 34 |
| 2 | 2655 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (*.f64 (sin.f64 y) x)) |
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 (sin.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (neg.f64 (/.f64 -1 (*.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) 2))))) 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| 1× | egg-herbie |
| 758× | distribute-rgt-in |
| 744× | distribute-lft-in |
| 608× | distribute-lft-neg-out |
| 594× | distribute-rgt-neg-out |
| 486× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 367 | 4003 |
| 1 | 968 | 3953 |
| 2 | 3585 | 3947 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 x) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)) |
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(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3) 1/3) |
(neg.f64 (*.f64 (neg.f64 (/.f64 x y)) (sin.f64 y))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2)) |
(log.f64 (exp.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 y 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
(exp.f64 (-.f64 (log.f64 (*.f64 (sin.f64 y) x)) (log.f64 y))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
| Outputs |
|---|
(/.f64 1 x) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)) |
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x)) |
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x)) |
(+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))) |
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))) |
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))) |
(+.f64 (*.f64 31/15120 (/.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)))) |
(fma.f64 31/15120 (/.f64 (pow.f64 y 6) x) (fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x)))) |
(fma.f64 31/15120 (/.f64 (pow.f64 y 6) x) (fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x)))) |
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) x) |
(fma.f64 (*.f64 (*.f64 y y) -1/6) x x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 (sin.f64 y) x)))) 1) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 y (/.f64 1 (*.f64 (sin.f64 y) x))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 y (neg.f64 (/.f64 -1 (*.f64 (sin.f64 y) x)))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 1) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 1 (/.f64 y (*.f64 (sin.f64 y) x))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) x)))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) x)))))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) 2)) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 y (*.f64 x (sin.f64 y))))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)) |
(*.f64 (cbrt.f64 (/.f64 y (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 y (*.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) 2) (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x)))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x)))))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 1 x)) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 y) x)) y) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 -1 (/.f64 y (*.f64 (sin.f64 y) (neg.f64 x)))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (neg.f64 y) (/.f64 -1 (*.f64 (sin.f64 y) x))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (neg.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (neg.f64 x)))))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) (neg.f64 x)))) (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) (neg.f64 x))))) (neg.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) (neg.f64 x)))))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 y) (*.f64 (sin.f64 y) x)) (sqrt.f64 y)) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 y) (*.f64 (sin.f64 y) x)) (/.f64 (sqrt.f64 y) 1)) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 y) (*.f64 (sin.f64 y) x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 y x) (/.f64 1 (sin.f64 y))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 y 1) (/.f64 1 (*.f64 (sin.f64 y) x))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 y (sqrt.f64 (*.f64 (sin.f64 y) x))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) x)))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y x)) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 1 x) (/.f64 y (sin.f64 y))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) x))) (/.f64 y (sqrt.f64 (*.f64 (sin.f64 y) x)))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)) (/.f64 y (cbrt.f64 (*.f64 (sin.f64 y) x)))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 y (cbrt.f64 (*.f64 (sin.f64 y) x))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) x)))) (neg.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) 2)) (neg.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 -1 (*.f64 (sin.f64 y) x)) (neg.f64 y)) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) (/.f64 (sqrt.f64 y) x)) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (sin.f64 y))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (sin.f64 y) x)))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (sin.f64 y) x))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 y)) (/.f64 (cbrt.f64 y) x)) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 y) x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 y))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (sin.f64 y))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 y) (sin.f64 y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 (sin.f64 y) x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 (sin.f64 y) x)))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 (sin.f64 y) x)))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 y (*.f64 x (sin.f64 y))))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)) |
(*.f64 (cbrt.f64 (/.f64 y (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 y (*.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (sin.f64 y) x)) (cbrt.f64 y)) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 y)))) (cbrt.f64 y)) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) 2))) (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x)))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) 1) (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) x)))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (neg.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 y (*.f64 x (sin.f64 y)))) (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (neg.f64 x))))) (sqrt.f64 -1)) |
(/.f64 (sqrt.f64 (/.f64 y (*.f64 x (sin.f64 y)))) (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 y (*.f64 x (neg.f64 (sin.f64 y))))))) |
(/.f64 (sqrt.f64 (/.f64 y (*.f64 x (sin.f64 y)))) (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (neg.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) 2) 1) (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x)))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) 2) -1) (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) (neg.f64 x))))) |
(*.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) (neg.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x (sin.f64 y)))) 2) -1)) |
(*.f64 (cbrt.f64 (/.f64 y (*.f64 x (neg.f64 (sin.f64 y))))) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x (sin.f64 y)))) 2))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (neg.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x (sin.f64 y)))) 2))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (neg.f64 x))))) (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (neg.f64 x))))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) (neg.f64 x)))) (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) (neg.f64 x)))))) (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) (neg.f64 x))))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))))) (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) x)))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) 2))) (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x)))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 1) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) -1) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) 2) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) 3) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 3) 1/3) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(neg.f64 (/.f64 y (*.f64 (sin.f64 y) (neg.f64 x)))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) 2)) |
(fabs.f64 (/.f64 y (*.f64 x (sin.f64 y)))) |
(log.f64 (exp.f64 (/.f64 y (*.f64 (sin.f64 y) x)))) |
(/.f64 y (*.f64 x (sin.f64 y))) |
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(/.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x (sin.f64 y)))) 2) (cbrt.f64 (/.f64 y (sin.f64 y))))) |
(/.f64 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) 2)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (neg.f64 y)) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x (sin.f64 y)))) 2))) (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 x)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x (sin.f64 y)))) 2)) (/.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (*.f64 x (neg.f64 (sin.f64 y)))))) |
(/.f64 (cbrt.f64 (*.f64 x (neg.f64 (sin.f64 y)))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x (sin.f64 y)))) 2) (cbrt.f64 (neg.f64 y)))) |
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) -1) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3) 1/3) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(neg.f64 (*.f64 (neg.f64 (/.f64 x y)) (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2)) |
(fabs.f64 (*.f64 (sin.f64 y) (/.f64 x y))) |
(fabs.f64 (*.f64 x (/.f64 (sin.f64 y) y))) |
(log.f64 (exp.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 y 3))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(exp.f64 (-.f64 (log.f64 (*.f64 (sin.f64 y) x)) (log.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 (sin.f64 y) x) | |
| ✓ | 1.0b | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y)) |
| ✓ | 1.5b | (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) |
Compiled 29 to 7 computations (75.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) |
| 2.0ms | y | @ | -inf | (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) |
| 1.0ms | y | @ | -inf | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y)) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) |
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) |
| 1× | batch-egg-rewrite |
| 1124× | *-commutative |
| 798× | unswap-sqr |
| 738× | swap-sqr |
| 572× | associate-/r/ |
| 530× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 38 |
| 1 | 207 | 38 |
| 2 | 2909 | 38 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y)) |
| Outputs |
|---|
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(pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (*.f64 (/.f64 x y) (sin.f64 y))) -1/2) (pow.f64 (/.f64 1 (*.f64 (/.f64 x y) (sin.f64 y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (/.f64 x y) (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x)) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) (/.f64 -1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 y -1/2) (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) 3) (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (sin.f64 y)))))))) |
| 1× | egg-herbie |
| 920× | distribute-rgt-in |
| 902× | distribute-lft-in |
| 788× | distribute-lft-neg-out |
| 688× | distribute-rgt-neg-out |
| 660× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 435 | 7545 |
| 1 | 1170 | 7143 |
| 2 | 4545 | 7143 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x)) |
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) 1) |
(*.f64 (sin.f64 y) (*.f64 x (pow.f64 y -1/2))) |
(*.f64 x (*.f64 (sin.f64 y) (pow.f64 y -1/2))) |
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) |
(*.f64 (*.f64 (sin.f64 y) x) (pow.f64 y -1/2)) |
(*.f64 (*.f64 (sin.f64 y) x) (neg.f64 (/.f64 -1 (sqrt.f64 y)))) |
(*.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) 1) |
(*.f64 1 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) |
(*.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) |
(*.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) (sqrt.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 1)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (pow.f64 y -1/2))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) y))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (cbrt.f64 y))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) y)) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) y)) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (pow.f64 y -1/2))) |
(*.f64 (pow.f64 y -1/2) (*.f64 (sin.f64 y) x)) |
(*.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (/.f64 -1 (sqrt.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x)))) (neg.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x))))) |
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y -1/2)) x) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (pow.f64 y -1/2)) (sqrt.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (pow.f64 y -1/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 y 1/4)) (/.f64 1 (pow.f64 y 1/4))) |
(*.f64 (/.f64 1 (pow.f64 y 1/4)) (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 y 1/4))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) (cbrt.f64 (sqrt.f64 y))) (/.f64 1 (cbrt.f64 y))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (sin.f64 y)) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) 1)) |
(*.f64 (/.f64 x (pow.f64 y 1/4)) (/.f64 (sin.f64 y) (pow.f64 y 1/4))) |
(*.f64 (/.f64 x (cbrt.f64 (sqrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) x) |
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 x 1)) |
(*.f64 -1 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) (neg.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) y))) (neg.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))) |
(*.f64 (*.f64 x (pow.f64 y -1/2)) (sin.f64 y)) |
(*.f64 (/.f64 -1 (sqrt.f64 y)) (*.f64 (sin.f64 y) (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 y) 1) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (pow.f64 y 1/4)) (/.f64 x (pow.f64 y 1/4))) |
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 x (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) (sqrt.f64 y))) |
(*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 (sin.f64 y) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 (sqrt.f64 y))) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 1) (sqrt.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (cbrt.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (pow.f64 y 1/4)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (cbrt.f64 y)) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (sqrt.f64 y)) (cbrt.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 (sqrt.f64 y))) (neg.f64 x)) |
(*.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) 1)) x) |
(*.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 y) (sin.f64 y))) x) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (sin.f64 y) x)))) (sqrt.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2))) (cbrt.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (sin.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (sqrt.f64 y) x)) (cbrt.f64 (sin.f64 y))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x)))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x))))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) y)))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) y)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) y))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) y))) (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) y))) (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) 3) 1/6)) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 (sin.f64 y) x)) -1/2) (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 (sin.f64 y) x)) -1/2)) |
(pow.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) 3) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) 3) 1/3) |
(pow.f64 (/.f64 (sqrt.f64 y) (*.f64 (sin.f64 y) x)) -1) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x))) |
(neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x)) 1)) |
(neg.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (neg.f64 x)))) |
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) y)) |
(log.f64 (exp.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 y 3/2))) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) |
(exp.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) 1) |
(*.f64 (*.f64 (sin.f64 y) x) (pow.f64 y -1)) |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y)) |
(*.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) (pow.f64 y -1/2)) |
(*.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 1) |
(*.f64 1 (*.f64 (/.f64 x y) (sin.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (*.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (pow.f64 y -1/2))) |
(*.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (/.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (sqrt.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) (sqrt.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) y)) (*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (pow.f64 y -1/2))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) y)) (cbrt.f64 y))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 2) (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) |
(*.f64 (pow.f64 y -1/2) (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x)) (/.f64 -1 (sqrt.f64 y))) |
(*.f64 (pow.f64 y -1) (*.f64 (sin.f64 y) x)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (pow.f64 y -1/2)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (pow.f64 y -1/2))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (pow.f64 y -1/2)) (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (pow.f64 y -1/2)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) y))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) 1) (/.f64 1 y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 y 1/4)) (/.f64 (pow.f64 y -1/2) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) (cbrt.f64 y)) (/.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 y 1/4)) (/.f64 (sin.f64 y) (*.f64 (pow.f64 y 1/4) (/.f64 (sqrt.f64 y) x)))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (/.f64 (*.f64 (sin.f64 y) x) (cbrt.f64 y)) (cbrt.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 (pow.f64 y 1/4) (/.f64 (sqrt.f64 y) x))) (/.f64 1 (pow.f64 y 1/4))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))) |
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 y) x) (cbrt.f64 y)) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 -1 (sqrt.f64 y)) (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 y) 1) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 x (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) y)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) y)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (sqrt.f64 y))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) 1)) |
(*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x 1)) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 (sin.f64 y) x) (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) y) (sqrt.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) y) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 1)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) y) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) |
(*.f64 (/.f64 1 y) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 1 y) (/.f64 (*.f64 (sin.f64 y) x) 1)) |
(*.f64 (/.f64 (pow.f64 y -1/2) (pow.f64 y 1/4)) (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (sqrt.f64 y)) (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (cbrt.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (cbrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) y)) 1) (/.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (sqrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) y)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) y)) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) y)) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) y)) (cbrt.f64 y)) (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) y)))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) y)) (sqrt.f64 y)) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) y) (cbrt.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 (/.f64 (pow.f64 y -1/2) 1) (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (cbrt.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) x)) (sin.f64 y)) |
(*.f64 (/.f64 (pow.f64 y -1/2) (neg.f64 (sqrt.f64 y))) (*.f64 (sin.f64 y) (neg.f64 x))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (sin.f64 y))) x) |
(*.f64 (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) 1)) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (sin.f64 y) x)))) (sqrt.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2))) (cbrt.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (pow.f64 y -1/2)) (sqrt.f64 y)) x) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (pow.f64 y -1/2)) 1) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (pow.f64 y -1/2)) (pow.f64 y 1/4)) (/.f64 x (pow.f64 y 1/4))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (pow.f64 y -1/2)) (cbrt.f64 y)) (/.f64 x (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (pow.f64 y -1/2)) (neg.f64 (sqrt.f64 y))) (neg.f64 x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (pow.f64 y -1/2)) (/.f64 (sqrt.f64 y) 1)) x) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (pow.f64 y -1/2)) (/.f64 (sqrt.f64 y) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (pow.f64 y -1/2)) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sin.f64 y)))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 3) 1/6)) |
(*.f64 (pow.f64 (/.f64 1 (*.f64 (/.f64 x y) (sin.f64 y))) -1/2) (pow.f64 (/.f64 1 (*.f64 (/.f64 x y) (sin.f64 y))) -1/2)) |
(pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 3) 1/3) |
(pow.f64 (/.f64 1 (*.f64 (/.f64 x y) (sin.f64 y))) -1) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y))) |
(neg.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x)) (pow.f64 y -1/2))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)) 1)) |
(neg.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) (/.f64 -1 (sqrt.f64 y)))) |
(neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))) |
(neg.f64 (*.f64 (pow.f64 y -1/2) (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x)))) |
(neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 y))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (sin.f64 y))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 y 3))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) 3) (pow.f64 y 3/2))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (fabs.f64 (pow.f64 y -1/2)) (*.f64 (sin.f64 y) x)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (fabs.f64 (pow.f64 y -1/2)) (*.f64 (sin.f64 y) x)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (fabs.f64 (pow.f64 y -1/2)) (*.f64 (sin.f64 y) x)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x)) |
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(*.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (/.f64 (pow.f64 y -1/2) (neg.f64 (sqrt.f64 y)))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 (sin.f64 y) (neg.f64 (sqrt.f64 y))) (pow.f64 y -1/2))) |
(*.f64 (sin.f64 y) (*.f64 (neg.f64 x) (/.f64 (pow.f64 y -1/2) (neg.f64 (sqrt.f64 y))))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (sin.f64 y))) x) |
(*.f64 x (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (pow.f64 y -1/2))) |
(*.f64 (sin.f64 y) (*.f64 x (/.f64 (pow.f64 y -1/2) (sqrt.f64 y)))) |
(*.f64 (sin.f64 y) (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) x))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) 1)) (*.f64 (sin.f64 y) x)) |
(*.f64 x (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (pow.f64 y -1/2))) |
(*.f64 (sin.f64 y) (*.f64 x (/.f64 (pow.f64 y -1/2) (sqrt.f64 y)))) |
(*.f64 (sin.f64 y) (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) x))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (sin.f64 y) x)))) (sqrt.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 x (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (pow.f64 y -1/2))) |
(*.f64 (sin.f64 y) (*.f64 x (/.f64 (pow.f64 y -1/2) (sqrt.f64 y)))) |
(*.f64 (sin.f64 y) (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) x))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2))) (cbrt.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 x (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (pow.f64 y -1/2))) |
(*.f64 (sin.f64 y) (*.f64 x (/.f64 (pow.f64 y -1/2) (sqrt.f64 y)))) |
(*.f64 (sin.f64 y) (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (pow.f64 y -1/2)) (sqrt.f64 y)) x) |
(*.f64 x (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (pow.f64 y -1/2))) |
(*.f64 (sin.f64 y) (*.f64 x (/.f64 (pow.f64 y -1/2) (sqrt.f64 y)))) |
(*.f64 (sin.f64 y) (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (pow.f64 y -1/2)) 1) (/.f64 x (sqrt.f64 y))) |
(*.f64 x (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (pow.f64 y -1/2))) |
(*.f64 (sin.f64 y) (*.f64 x (/.f64 (pow.f64 y -1/2) (sqrt.f64 y)))) |
(*.f64 (sin.f64 y) (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (pow.f64 y -1/2)) (pow.f64 y 1/4)) (/.f64 x (pow.f64 y 1/4))) |
(*.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 y 1/4) x)) (/.f64 (pow.f64 y -1/2) (pow.f64 y 1/4))) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 x (pow.f64 y 1/4))) (/.f64 (pow.f64 y -1/2) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (pow.f64 y -1/2)) (cbrt.f64 y)) (/.f64 x (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (sin.f64 y) (/.f64 (cbrt.f64 (sqrt.f64 y)) x)) (/.f64 (pow.f64 y -1/2) (cbrt.f64 y))) |
(*.f64 (*.f64 x (/.f64 (sin.f64 y) (cbrt.f64 (sqrt.f64 y)))) (/.f64 (pow.f64 y -1/2) (cbrt.f64 y))) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 x (cbrt.f64 (sqrt.f64 y)))) (/.f64 (pow.f64 y -1/2) (cbrt.f64 y))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (pow.f64 y -1/2)) (neg.f64 (sqrt.f64 y))) (neg.f64 x)) |
(*.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (/.f64 (pow.f64 y -1/2) (neg.f64 (sqrt.f64 y)))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 (sin.f64 y) (neg.f64 (sqrt.f64 y))) (pow.f64 y -1/2))) |
(*.f64 (sin.f64 y) (*.f64 (neg.f64 x) (/.f64 (pow.f64 y -1/2) (neg.f64 (sqrt.f64 y))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (pow.f64 y -1/2)) (/.f64 (sqrt.f64 y) 1)) x) |
(*.f64 x (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (pow.f64 y -1/2))) |
(*.f64 (sin.f64 y) (*.f64 x (/.f64 (pow.f64 y -1/2) (sqrt.f64 y)))) |
(*.f64 (sin.f64 y) (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (pow.f64 y -1/2)) (/.f64 (sqrt.f64 y) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (/.f64 (*.f64 (sin.f64 y) (pow.f64 y -1/2)) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 x)) (pow.f64 y -1/2))) |
(*.f64 (sqrt.f64 x) (/.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (/.f64 (sqrt.f64 y) (pow.f64 y -1/2)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (pow.f64 y -1/2)) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (*.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (pow.f64 y -1/2))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (sin.f64 y) (/.f64 (pow.f64 y -1/2) (sqrt.f64 y))))) |
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (pow.f64 y -1/2))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y)))))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sin.f64 y)))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 3/2)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 3) 1/6)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (pow.f64 (/.f64 1 (*.f64 (/.f64 x y) (sin.f64 y))) -1/2) (pow.f64 (/.f64 1 (*.f64 (/.f64 x y) (sin.f64 y))) -1/2)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 1) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 2) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 3) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 3) 1/3) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (/.f64 1 (*.f64 (/.f64 x y) (sin.f64 y))) -1) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(neg.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x)) (pow.f64 y -1/2))) |
(*.f64 x (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (pow.f64 y -1/2))) |
(*.f64 (sin.f64 y) (*.f64 x (/.f64 (pow.f64 y -1/2) (sqrt.f64 y)))) |
(*.f64 (sin.f64 y) (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) x))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)) 1)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(neg.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) (/.f64 -1 (sqrt.f64 y)))) |
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(neg.f64 (*.f64 (pow.f64 y -1/2) (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x)))) |
(*.f64 x (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (pow.f64 y -1/2))) |
(*.f64 (sin.f64 y) (*.f64 x (/.f64 (pow.f64 y -1/2) (sqrt.f64 y)))) |
(*.f64 (sin.f64 y) (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) x))) |
(neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 x)) (sqrt.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2)) |
(fabs.f64 (*.f64 (sin.f64 y) (/.f64 x y))) |
(log.f64 (exp.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (sin.f64 y))))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 3)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 y 3))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) 3) (pow.f64 y 3/2))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x (sqrt.f64 y))) 3) (pow.f64 y 3/2))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(exp.f64 (log.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
Compiled 13023 to 5313 computations (59.2% saved)
20 alts after pruning (15 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 839 | 14 | 853 |
| Fresh | 5 | 1 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 845 | 20 | 865 |
| Status | Error | Program |
|---|---|---|
| ✓ | 33.8b | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y)) |
| 32.4b | (/.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) x) (sqrt.f64 y)) | |
| ✓ | 6.2b | (/.f64 (*.f64 (sin.f64 y) x) y) |
| 40.3b | (/.f64 (*.f64 y x) y) | |
| ✓ | 0.2b | (/.f64 x (/.f64 y (sin.f64 y))) |
| ▶ | 25.9b | (/.f64 x (+.f64 1 (*.f64 (*.f64 y y) 1/6))) |
| ✓ | 6.8b | (/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x))) |
| 40.4b | (/.f64 1 (/.f64 y (*.f64 y x))) | |
| ▶ | 34.1b | (/.f64 1 (/.f64 1 x)) |
| 5.5b | (/.f64 1 (*.f64 (/.f64 y x) (/.f64 1 (sin.f64 y)))) | |
| 34.7b | (+.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) x) | |
| ▶ | 5.2b | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 6.3b | (*.f64 (/.f64 1 y) (*.f64 (sin.f64 y) x)) | |
| ▶ | 5.7b | (*.f64 (sin.f64 y) (/.f64 1 (/.f64 y x))) |
| 5.3b | (*.f64 (sin.f64 y) (*.f64 x (/.f64 1 y))) | |
| ✓ | 0.2b | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 34.7b | (*.f64 x (+.f64 1 (+.f64 1 (-.f64 (*.f64 -1/6 (*.f64 y y)) 1)))) | |
| ▶ | 62.5b | (*.f64 x (*.f64 -1/6 (*.f64 y y))) |
| 62.5b | (*.f64 -1/6 (*.f64 x (*.f64 y y))) | |
| 34.1b | x |
Compiled 329 to 225 computations (31.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 4.9b | (*.f64 (/.f64 x y) (sin.f64 y)) |
Compiled 15 to 5 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 1× | batch-egg-rewrite |
| 1740× | add-sqr-sqrt |
| 1728× | *-un-lft-identity |
| 1602× | add-cube-cbrt |
| 1576× | add-cbrt-cube |
| 170× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 163 | 17 |
| 2 | 2120 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) (sin.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sin.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (sin.f64 y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (sin.f64 y)))))))) |
| 1× | egg-herbie |
| 1322× | associate-*r* |
| 1226× | associate-*l* |
| 768× | associate-+r+ |
| 688× | associate-+l+ |
| 456× | distribute-lft-neg-in |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 855 |
| 1 | 201 | 855 |
| 2 | 717 | 843 |
| 3 | 5007 | 841 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) 1) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) 1) y) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y)) |
(pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (sin.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (sin.f64 y))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) x) |
(fma.f64 -1/6 (*.f64 y (*.f64 y x)) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x)) |
(fma.f64 -1/6 (*.f64 y (*.f64 y x)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x)) |
(fma.f64 x (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x))) |
(fma.f64 -1/6 (*.f64 y (*.f64 y x)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x))) |
(fma.f64 x (*.f64 y (*.f64 y -1/6)) (fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 -1/5040 (pow.f64 y 6))) x)) |
(*.f64 x (+.f64 (fma.f64 -1/6 (*.f64 y y) 1) (fma.f64 1/120 (pow.f64 y 4) (*.f64 -1/5040 (pow.f64 y 6))))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) 1) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) 1) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 1) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 2) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 3) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 3) 1/3) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 2)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (sin.f64 y))) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (sin.f64 y))))) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 3)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(exp.f64 (log.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 1)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (sin.f64 y)))) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 1 (/.f64 1 x)) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 1 (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (/.f64 1 (/.f64 1 x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1182× | associate-*r* |
| 908× | add-sqr-sqrt |
| 892× | *-un-lft-identity |
| 842× | pow1 |
| 832× | add-cube-cbrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 1 |
| 1 | 125 | 1 |
| 2 | 1227 | 1 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) -1) (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x)))))) |
| 1× | egg-herbie |
| 1228× | associate-*r/ |
| 1178× | associate-/r* |
| 952× | associate-*l/ |
| 916× | associate-/l* |
| 850× | associate-/r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 273 |
| 1 | 241 | 231 |
| 2 | 805 | 223 |
| 3 | 3088 | 223 |
| 1× | node limit |
| Inputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(-.f64 (+.f64 1 x) 1) |
(*.f64 1 x) |
(*.f64 x 1) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) |
(*.f64 -1 (neg.f64 x)) |
(*.f64 (neg.f64 x) -1) |
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1)) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) -1) (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1)) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 -1 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(*.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 -1 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(*.f64 (*.f64 -1 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(*.f64 (*.f64 -1 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(pow.f64 x 1) |
(pow.f64 (/.f64 1 x) -1) |
(pow.f64 (sqrt.f64 x) 2) |
(pow.f64 (cbrt.f64 x) 3) |
(pow.f64 (pow.f64 x 3) 1/3) |
(sqrt.f64 (*.f64 x x)) |
(log.f64 (exp.f64 x)) |
(cbrt.f64 (pow.f64 x 3)) |
(expm1.f64 (log1p.f64 x)) |
(exp.f64 (log.f64 x)) |
(log1p.f64 (expm1.f64 x)) |
| Outputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(-.f64 (+.f64 1 x) 1) |
x |
(*.f64 1 x) |
x |
(*.f64 x 1) |
x |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
x |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) |
x |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) |
x |
(*.f64 -1 (neg.f64 x)) |
x |
(*.f64 (neg.f64 x) -1) |
x |
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1)) |
x |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (/.f64 1 (cbrt.f64 x)))) |
(/.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) -1) (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (/.f64 1 (cbrt.f64 x)))) |
(/.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
x |
(*.f64 (*.f64 -1 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
x |
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
x |
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (cbrt.f64 x) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x)))) |
(*.f64 (sqrt.f64 x) (*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))) |
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3)) |
(*.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
x |
(*.f64 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
x |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
x |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
x |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (cbrt.f64 x)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (*.f64 -1 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
x |
(*.f64 (*.f64 -1 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
x |
(*.f64 (*.f64 -1 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
x |
(*.f64 (*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
x |
(pow.f64 x 1) |
x |
(pow.f64 (/.f64 1 x) -1) |
x |
(pow.f64 (sqrt.f64 x) 2) |
x |
(pow.f64 (cbrt.f64 x) 3) |
x |
(pow.f64 (pow.f64 x 3) 1/3) |
x |
(sqrt.f64 (*.f64 x x)) |
x |
(log.f64 (exp.f64 x)) |
x |
(cbrt.f64 (pow.f64 x 3)) |
x |
(expm1.f64 (log1p.f64 x)) |
x |
(exp.f64 (log.f64 x)) |
x |
(log1p.f64 (expm1.f64 x)) |
x |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (*.f64 -1/6 (*.f64 y y)) | |
| ✓ | 4.4b | (*.f64 x (*.f64 -1/6 (*.f64 y y))) |
Compiled 20 to 9 computations (55% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 x (*.f64 -1/6 (*.f64 y y))) |
| 0.0ms | x | @ | inf | (*.f64 x (*.f64 -1/6 (*.f64 y y))) |
| 0.0ms | y | @ | inf | (*.f64 x (*.f64 -1/6 (*.f64 y y))) |
| 0.0ms | y | @ | 0 | (*.f64 x (*.f64 -1/6 (*.f64 y y))) |
| 0.0ms | x | @ | -inf | (*.f64 x (*.f64 -1/6 (*.f64 y y))) |
| 1× | batch-egg-rewrite |
| 1504× | add-sqr-sqrt |
| 1482× | *-un-lft-identity |
| 1380× | add-cube-cbrt |
| 1364× | add-cbrt-cube |
| 1350× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 163 | 19 |
| 2 | 1940 | 19 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (*.f64 -1/6 (*.f64 y y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 -1/6 y) (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 x -1/6)) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 y 4) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 y y)) -1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x)))))))) |
| 1× | egg-herbie |
| 1404× | distribute-rgt-in |
| 1374× | distribute-lft-in |
| 1276× | associate-*r* |
| 1162× | associate-*l* |
| 1110× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 694 |
| 1 | 122 | 694 |
| 2 | 456 | 688 |
| 3 | 2973 | 688 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(-.f64 (+.f64 1 (*.f64 (*.f64 -1/6 y) (*.f64 y x))) 1) |
(pow.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x)) 1) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x -1/6)) y) 2) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x))) 3) |
(pow.f64 (pow.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x)) 3) 1/3) |
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 y 4) 1/36))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 y y)) -1/6) x)) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x)))) |
| Outputs |
|---|
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(-.f64 (+.f64 1 (*.f64 (*.f64 -1/6 y) (*.f64 y x))) 1) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(pow.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x)) 1) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x -1/6)) y) 2) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x))) 3) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x)) 3) 1/3) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 y 4) 1/36))) |
(sqrt.f64 (*.f64 x (*.f64 x (*.f64 (pow.f64 y 4) 1/36)))) |
(sqrt.f64 (*.f64 x (*.f64 (*.f64 x 1/36) (pow.f64 y 4)))) |
(fabs.f64 (*.f64 y (*.f64 x (*.f64 -1/6 y)))) |
(fabs.f64 (*.f64 -1/6 (*.f64 y (*.f64 y x)))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 y y)) -1/6) x)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x)) 3)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x)))) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(exp.f64 (log.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x)))) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x))) 1)) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 -1/6 y) (*.f64 y x)))) |
(*.f64 -1/6 (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (*.f64 (*.f64 y y) 1/6) |
| ✓ | 3.7b | (/.f64 x (+.f64 1 (*.f64 (*.f64 y y) 1/6))) |
Compiled 30 to 16 computations (46.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 x (+.f64 1 (*.f64 (*.f64 y y) 1/6))) |
| 1.0ms | x | @ | inf | (/.f64 x (+.f64 1 (*.f64 (*.f64 y y) 1/6))) |
| 0.0ms | x | @ | -inf | (/.f64 x (+.f64 1 (*.f64 (*.f64 y y) 1/6))) |
| 0.0ms | y | @ | 0 | (/.f64 x (+.f64 1 (*.f64 (*.f64 y y) 1/6))) |
| 0.0ms | y | @ | inf | (/.f64 x (+.f64 1 (*.f64 (*.f64 y y) 1/6))) |
| 1× | batch-egg-rewrite |
| 920× | *-commutative |
| 880× | associate-*r/ |
| 752× | associate-/r* |
| 616× | associate-*l/ |
| 590× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 38 |
| 1 | 210 | 34 |
| 2 | 2699 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 1 (*.f64 (*.f64 y y) 1/6))) |
(*.f64 (*.f64 y y) 1/6) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))) 1) (*.f64 (/.f64 x (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))) (*.f64 y (*.f64 y -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216))) 1) (*.f64 (/.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216))) (+.f64 (*.f64 (pow.f64 y 4) 1/36) (*.f64 y (*.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216))) (+.f64 (*.f64 (pow.f64 y 4) 1/36) (*.f64 y (*.f64 y -1/6)))) (*.f64 (/.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 x (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)))) (*.f64 (*.f64 y (*.f64 y -1/6)) (/.f64 x (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))) (*.f64 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (*.f64 y (*.f64 y -1/6))) (/.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (*.f64 y (*.f64 y -1/6))) (/.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))) (*.f64 1 (/.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))) (sqrt.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 y (*.f64 y -1/6))) (/.f64 x (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 y (*.f64 y -1/6)))) (/.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 (fma.f64 y (*.f64 y 1/6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) (/.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (/.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 y (*.f64 y 1/6) 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (*.f64 (pow.f64 y 4) -1/36)))) (+.f64 1 (*.f64 y (*.f64 y -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))) (+.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 y (*.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1) (+.f64 -1 (neg.f64 (*.f64 (pow.f64 y 4) -1/36)))) (+.f64 -1 (neg.f64 (*.f64 y (*.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1) (+.f64 -1 (neg.f64 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))) (neg.f64 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 y (*.f64 y -1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1) (-.f64 (*.f64 (pow.f64 y 4) 1/36) 1)) (-.f64 (*.f64 y (*.f64 y 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)))) (sqrt.f64 (+.f64 1 (*.f64 y (*.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 y (*.f64 y -1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2)) (cbrt.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)))) (cbrt.f64 (+.f64 1 (*.f64 y (*.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2)) (cbrt.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 y (*.f64 y -1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y (*.f64 y 1/6) 1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 -1 (*.f64 y (*.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 x (+.f64 -1 (*.f64 y (*.f64 y -1/6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (/.f64 -1 (fma.f64 y (*.f64 y 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 x (+.f64 -1 (*.f64 y (*.f64 y -1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 y (*.f64 y 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 y 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 y (*.f64 y 1/6) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 y 1/6) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 y (*.f64 y -1/6)))) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 y (*.f64 y -1/6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 y 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 y 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 y 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 y 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 y 1/6)))))))) |
| 1× | egg-herbie |
| 1718× | associate-/l* |
| 1484× | associate-*r/ |
| 866× | *-commutative |
| 830× | associate-*l/ |
| 688× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 263 | 4118 |
| 1 | 726 | 3864 |
| 2 | 2501 | 3850 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/36 (*.f64 (pow.f64 y 4) x)) x)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1/216 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/36 (*.f64 (pow.f64 y 4) x)) x))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(+.f64 (*.f64 -36 (/.f64 x (pow.f64 y 4))) (*.f64 6 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (*.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6))))) |
(+.f64 (*.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 216 (/.f64 x (pow.f64 y 6))) (*.f64 -1296 (/.f64 x (pow.f64 y 8)))))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(+.f64 (*.f64 -36 (/.f64 x (pow.f64 y 4))) (*.f64 6 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (*.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6))))) |
(+.f64 (*.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 216 (/.f64 x (pow.f64 y 6))) (*.f64 -1296 (/.f64 x (pow.f64 y 8)))))) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))) 1) (*.f64 (/.f64 x (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))) (*.f64 y (*.f64 y -1/6)))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216))) 1) (*.f64 (/.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216))) (+.f64 (*.f64 (pow.f64 y 4) 1/36) (*.f64 y (*.f64 y -1/6))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216))) (+.f64 (*.f64 (pow.f64 y 4) 1/36) (*.f64 y (*.f64 y -1/6)))) (*.f64 (/.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216))) 1)) |
(+.f64 (*.f64 1 (/.f64 x (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)))) (*.f64 (*.f64 y (*.f64 y -1/6)) (/.f64 x (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))))) |
(+.f64 (*.f64 1 (/.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))) (*.f64 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (*.f64 y (*.f64 y -1/6))) (/.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216))))) |
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (*.f64 y (*.f64 y -1/6))) (/.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))) (*.f64 1 (/.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)))) 1) |
(*.f64 x (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))) |
(*.f64 1 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))) |
(*.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)) 1) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) |
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))) (sqrt.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))) 2)) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)))) |
(*.f64 (+.f64 1 (*.f64 y (*.f64 y -1/6))) (/.f64 x (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)))) |
(*.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)) x) |
(*.f64 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 y (*.f64 y -1/6)))) (/.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))) |
(*.f64 (neg.f64 x) (/.f64 -1 (fma.f64 y (*.f64 y 1/6) 1))) |
(*.f64 (/.f64 (sqrt.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) (/.f64 (sqrt.f64 x) 1)) |
(*.f64 (/.f64 (cbrt.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (cbrt.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(*.f64 (/.f64 1 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (/.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)))) |
(*.f64 (/.f64 x 1) (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))) |
(*.f64 (/.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (/.f64 1 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))) |
(*.f64 (/.f64 x (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2))) |
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))) (+.f64 x (*.f64 x (*.f64 y (*.f64 y -1/6))))) |
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216))) (*.f64 x (+.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 y (*.f64 y -1/6)))))) |
(*.f64 (/.f64 x (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))) (+.f64 1 (*.f64 y (*.f64 y -1/6)))) |
(*.f64 (/.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216))) (+.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 y (*.f64 y -1/6))))) |
(*.f64 (/.f64 -1 (fma.f64 y (*.f64 y 1/6) 1)) (neg.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))) |
(*.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)))) |
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 y (*.f64 y 1/6) 1)) (cbrt.f64 x)) |
(*.f64 (/.f64 x (+.f64 -1 (neg.f64 (*.f64 (pow.f64 y 4) -1/36)))) (+.f64 -1 (neg.f64 (*.f64 y (*.f64 y -1/6))))) |
(*.f64 (/.f64 x (+.f64 -1 (neg.f64 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))) (neg.f64 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 y (*.f64 y -1/6)))))) |
(*.f64 (/.f64 x (-.f64 (*.f64 (pow.f64 y 4) 1/36) 1)) (-.f64 (*.f64 y (*.f64 y 1/6)) 1)) |
(*.f64 (/.f64 1 (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (*.f64 (pow.f64 y 4) -1/36)))) (+.f64 1 (*.f64 y (*.f64 y -1/6)))) |
(*.f64 (/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))) (+.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 y (*.f64 y -1/6))))) |
(*.f64 (/.f64 (/.f64 x 1) (+.f64 -1 (neg.f64 (*.f64 (pow.f64 y 4) -1/36)))) (+.f64 -1 (neg.f64 (*.f64 y (*.f64 y -1/6))))) |
(*.f64 (/.f64 (/.f64 x 1) (+.f64 -1 (neg.f64 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))) (neg.f64 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 y (*.f64 y -1/6)))))) |
(*.f64 (/.f64 (/.f64 x 1) (-.f64 (*.f64 (pow.f64 y 4) 1/36) 1)) (-.f64 (*.f64 y (*.f64 y 1/6)) 1)) |
(*.f64 (/.f64 (/.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)))) (sqrt.f64 (+.f64 1 (*.f64 y (*.f64 y -1/6))))) |
(*.f64 (/.f64 (/.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 y (*.f64 y -1/6)))))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2)) (cbrt.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)))) (cbrt.f64 (+.f64 1 (*.f64 y (*.f64 y -1/6))))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2)) (cbrt.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 y (*.f64 y -1/6)))))) |
(pow.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))) 3) |
(pow.f64 (pow.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)) 3) 1/3) |
(pow.f64 (/.f64 (fma.f64 y (*.f64 y 1/6) 1) x) -1) |
(neg.f64 (/.f64 x (+.f64 -1 (*.f64 y (*.f64 y -1/6))))) |
(neg.f64 (*.f64 (/.f64 x (+.f64 -1 (*.f64 y (*.f64 y -1/6)))) 1)) |
(neg.f64 (*.f64 x (/.f64 -1 (fma.f64 y (*.f64 y 1/6) 1)))) |
(neg.f64 (*.f64 1 (/.f64 x (+.f64 -1 (*.f64 y (*.f64 y -1/6)))))) |
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)) 2)) |
(log.f64 (exp.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))))) |
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)))) |
(exp.f64 (log.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)))) |
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)))) |
(+.f64 1 (-.f64 (*.f64 y (*.f64 y 1/6)) 1)) |
(+.f64 (*.f64 y (*.f64 y 1/6)) 0) |
(-.f64 (fma.f64 y (*.f64 y 1/6) 1) 1) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 y 1/6) 1))) 2) |
(-.f64 (/.f64 1 (+.f64 1 (*.f64 y (*.f64 y -1/6)))) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 y (*.f64 y -1/6)))) 1)) |
(pow.f64 (*.f64 y (*.f64 y 1/6)) 1) |
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 y 1/6))) 3) |
(pow.f64 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36)) |
(log.f64 (pow.f64 (exp.f64 y) (*.f64 y 1/6))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y 1/6))))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)) |
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 y 1/6)))) |
(exp.f64 (log.f64 (*.f64 y (*.f64 y 1/6)))) |
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 y 1/6)))) |
| Outputs |
|---|
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) x) |
(fma.f64 (*.f64 x y) (*.f64 y -1/6) x) |
(*.f64 x (fma.f64 y (*.f64 y -1/6) 1)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/36 (*.f64 (pow.f64 y 4) x)) x)) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/36 (*.f64 x (pow.f64 y 4)) x)) |
(*.f64 x (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y -1/6) 1))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1/216 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/36 (*.f64 (pow.f64 y 4) x)) x))) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 -1/216 (*.f64 x (pow.f64 y 6)) (fma.f64 1/36 (*.f64 x (pow.f64 y 4)) x))) |
(+.f64 (*.f64 x (*.f64 -1/216 (pow.f64 y 6))) (*.f64 x (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y -1/6) 1)))) |
(*.f64 x (+.f64 (*.f64 -1/216 (pow.f64 y 6)) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y -1/6) 1)))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (*.f64 y y))) |
(*.f64 (/.f64 6 y) (/.f64 x y)) |
(*.f64 (/.f64 x y) (/.f64 6 y)) |
(+.f64 (*.f64 -36 (/.f64 x (pow.f64 y 4))) (*.f64 6 (/.f64 x (pow.f64 y 2)))) |
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (*.f64 6 (/.f64 x (*.f64 y y)))) |
(fma.f64 6 (/.f64 x (*.f64 y y)) (/.f64 -36 (/.f64 (pow.f64 y 4) x))) |
(*.f64 (/.f64 x (*.f64 y y)) (+.f64 6 (/.f64 (/.f64 -36 y) y))) |
(+.f64 (*.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6))))) |
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 6 (/.f64 x (*.f64 y y)) (*.f64 216 (/.f64 x (pow.f64 y 6))))) |
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 6 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 x 216) (pow.f64 y 6)))) |
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 6 (/.f64 216 (pow.f64 y 4))))) |
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(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 1/6 y) 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 y (*.f64 1/6 y) 1)))) |
(/.f64 (/.f64 x (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1))) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)) 2)) |
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))) |
(*.f64 (/.f64 1 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (/.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))) |
(/.f64 (/.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) |
(/.f64 x (*.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))) |
(*.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))) |
(*.f64 (/.f64 1 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (/.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))) |
(/.f64 (/.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) |
(/.f64 x (*.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)))) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 y (*.f64 1/6 y) 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 1/6 y) 1)) 2))) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 1/6 (*.f64 y y) 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)) 2))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 x (fma.f64 1/6 (*.f64 y y) 1))) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)) 2)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 y (*.f64 y 1/6) 1)) (cbrt.f64 x)) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(*.f64 (/.f64 x (+.f64 -1 (neg.f64 (*.f64 (pow.f64 y 4) -1/36)))) (+.f64 -1 (neg.f64 (*.f64 y (*.f64 y -1/6))))) |
(*.f64 (/.f64 x (fma.f64 (pow.f64 y 4) 1/36 -1)) (-.f64 -1 (*.f64 y (*.f64 y -1/6)))) |
(*.f64 (/.f64 x (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (*.f64 y y) -1)) |
(/.f64 x (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 y (*.f64 1/6 y) -1))) |
(*.f64 (/.f64 x (+.f64 -1 (neg.f64 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))) (neg.f64 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 y (*.f64 y -1/6)))))) |
(*.f64 (/.f64 x (+.f64 -1 (*.f64 (pow.f64 y 6) -1/216))) (neg.f64 (fma.f64 (pow.f64 y 4) 1/36 (+.f64 1 (*.f64 y (*.f64 y -1/6)))))) |
(*.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y -1/6) 1)) (/.f64 (neg.f64 x) (fma.f64 (pow.f64 y 6) -1/216 -1))) |
(*.f64 (/.f64 x (-.f64 (*.f64 (pow.f64 y 4) 1/36) 1)) (-.f64 (*.f64 y (*.f64 y 1/6)) 1)) |
(*.f64 (/.f64 x (fma.f64 (pow.f64 y 4) 1/36 -1)) (-.f64 -1 (*.f64 y (*.f64 y -1/6)))) |
(*.f64 (/.f64 x (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (*.f64 y y) -1)) |
(/.f64 x (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 y (*.f64 1/6 y) -1))) |
(*.f64 (/.f64 1 (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(*.f64 (/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (*.f64 (pow.f64 y 4) -1/36)))) (+.f64 1 (*.f64 y (*.f64 y -1/6)))) |
(*.f64 (/.f64 x (fma.f64 (pow.f64 y 4) 1/36 -1)) (-.f64 -1 (*.f64 y (*.f64 y -1/6)))) |
(*.f64 (/.f64 x (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (*.f64 y y) -1)) |
(/.f64 x (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 y (*.f64 1/6 y) -1))) |
(*.f64 (/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))) (+.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 y (*.f64 y -1/6))))) |
(*.f64 (/.f64 x (+.f64 -1 (*.f64 (pow.f64 y 6) -1/216))) (neg.f64 (fma.f64 (pow.f64 y 4) 1/36 (+.f64 1 (*.f64 y (*.f64 y -1/6)))))) |
(*.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y -1/6) 1)) (/.f64 (neg.f64 x) (fma.f64 (pow.f64 y 6) -1/216 -1))) |
(*.f64 (/.f64 (/.f64 x 1) (+.f64 -1 (neg.f64 (*.f64 (pow.f64 y 4) -1/36)))) (+.f64 -1 (neg.f64 (*.f64 y (*.f64 y -1/6))))) |
(*.f64 (/.f64 x (fma.f64 (pow.f64 y 4) 1/36 -1)) (-.f64 -1 (*.f64 y (*.f64 y -1/6)))) |
(*.f64 (/.f64 x (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (*.f64 y y) -1)) |
(/.f64 x (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 y (*.f64 1/6 y) -1))) |
(*.f64 (/.f64 (/.f64 x 1) (+.f64 -1 (neg.f64 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))) (neg.f64 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 y (*.f64 y -1/6)))))) |
(*.f64 (/.f64 x (+.f64 -1 (*.f64 (pow.f64 y 6) -1/216))) (neg.f64 (fma.f64 (pow.f64 y 4) 1/36 (+.f64 1 (*.f64 y (*.f64 y -1/6)))))) |
(*.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y -1/6) 1)) (/.f64 (neg.f64 x) (fma.f64 (pow.f64 y 6) -1/216 -1))) |
(*.f64 (/.f64 (/.f64 x 1) (-.f64 (*.f64 (pow.f64 y 4) 1/36) 1)) (-.f64 (*.f64 y (*.f64 y 1/6)) 1)) |
(*.f64 (/.f64 x (fma.f64 (pow.f64 y 4) 1/36 -1)) (-.f64 -1 (*.f64 y (*.f64 y -1/6)))) |
(*.f64 (/.f64 x (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (*.f64 y y) -1)) |
(/.f64 x (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 y (*.f64 1/6 y) -1))) |
(*.f64 (/.f64 (/.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)))) (sqrt.f64 (+.f64 1 (*.f64 y (*.f64 y -1/6))))) |
(*.f64 (/.f64 x (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))) (sqrt.f64 (+.f64 1 (*.f64 y (*.f64 y -1/6))))) |
(*.f64 (/.f64 x (*.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))) (sqrt.f64 (fma.f64 (pow.f64 y 4) -1/36 1)))) (sqrt.f64 (fma.f64 y (*.f64 y -1/6) 1))) |
(*.f64 (/.f64 (/.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 y (*.f64 y -1/6)))))) |
(*.f64 (/.f64 (/.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 y 6) 1/216)))) (sqrt.f64 (fma.f64 (pow.f64 y 4) 1/36 (+.f64 1 (*.f64 y (*.f64 y -1/6)))))) |
(*.f64 (/.f64 (/.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (fma.f64 (pow.f64 y 6) 1/216 1))) (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y -1/6) 1)))) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (fma.f64 (pow.f64 y 6) 1/216 1))) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y -1/6) 1)))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2)) (cbrt.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)))) (cbrt.f64 (+.f64 1 (*.f64 y (*.f64 y -1/6))))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 1/6 y) 1)) 2)) (cbrt.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)))) (cbrt.f64 (+.f64 1 (*.f64 y (*.f64 y -1/6))))) |
(/.f64 (*.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) x) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 y 4) -1/36 1)))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)) 2)) (cbrt.f64 (fma.f64 (pow.f64 y 4) -1/36 1))) (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2)) (cbrt.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 y (*.f64 y -1/6)))))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 1/6 y) 1)) 2)) (cbrt.f64 (+.f64 1 (*.f64 (pow.f64 y 6) 1/216)))) (cbrt.f64 (fma.f64 (pow.f64 y 4) 1/36 (+.f64 1 (*.f64 y (*.f64 y -1/6)))))) |
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (fma.f64 (pow.f64 y 6) 1/216 1))) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)) 2)) (cbrt.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y -1/6) 1)))) |
(pow.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)) 1) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))) 2) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))) 3) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(pow.f64 (pow.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)) 3) 1/3) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(pow.f64 (/.f64 (fma.f64 y (*.f64 y 1/6) 1) x) -1) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(neg.f64 (/.f64 x (+.f64 -1 (*.f64 y (*.f64 y -1/6))))) |
(/.f64 (neg.f64 x) (+.f64 (*.f64 y (*.f64 y -1/6)) -1)) |
(/.f64 (neg.f64 x) (fma.f64 y (*.f64 y -1/6) -1)) |
(neg.f64 (*.f64 (/.f64 x (+.f64 -1 (*.f64 y (*.f64 y -1/6)))) 1)) |
(/.f64 (neg.f64 x) (+.f64 (*.f64 y (*.f64 y -1/6)) -1)) |
(/.f64 (neg.f64 x) (fma.f64 y (*.f64 y -1/6) -1)) |
(neg.f64 (*.f64 x (/.f64 -1 (fma.f64 y (*.f64 y 1/6) 1)))) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(neg.f64 (*.f64 1 (/.f64 x (+.f64 -1 (*.f64 y (*.f64 y -1/6)))))) |
(/.f64 (neg.f64 x) (+.f64 (*.f64 y (*.f64 y -1/6)) -1)) |
(/.f64 (neg.f64 x) (fma.f64 y (*.f64 y -1/6) -1)) |
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) 2)) |
(fabs.f64 (/.f64 x (fma.f64 1/6 (*.f64 y y) 1))) |
(log.f64 (exp.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)))) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1))))) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)) 3)) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)))) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(exp.f64 (log.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)))) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)))) |
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1)) |
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(+.f64 1 (-.f64 (*.f64 y (*.f64 y 1/6)) 1)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(+.f64 (*.f64 y (*.f64 y 1/6)) 0) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(-.f64 (fma.f64 y (*.f64 y 1/6) 1) 1) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 y 1/6) 1))) 2) |
(+.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 1/6 y) 1))) -2) |
(+.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (*.f64 y y) 1))) -2) |
(-.f64 (/.f64 1 (+.f64 1 (*.f64 y (*.f64 y -1/6)))) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 y (*.f64 y -1/6)))) 1)) |
(-.f64 (/.f64 1 (+.f64 1 (*.f64 y (*.f64 y -1/6)))) (+.f64 1 (/.f64 (pow.f64 y 4) (/.f64 (+.f64 1 (*.f64 y (*.f64 y -1/6))) 1/36)))) |
(-.f64 (-.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1)) 1) (*.f64 (/.f64 (pow.f64 y 4) (fma.f64 y (*.f64 y -1/6) 1)) 1/36)) |
(+.f64 -1 (-.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1)) (*.f64 1/36 (/.f64 (pow.f64 y 4) (fma.f64 y (*.f64 y -1/6) 1))))) |
(pow.f64 (*.f64 y (*.f64 y 1/6)) 1) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 y 1/6))) 3) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 y 6) 1/216)) |
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36)) |
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4))) |
(log.f64 (pow.f64 (exp.f64 y) (*.f64 y 1/6))) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y 1/6))))) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)) |
(cbrt.f64 (*.f64 (pow.f64 y 6) 1/216)) |
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 y 1/6)))) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(exp.f64 (log.f64 (*.f64 y (*.f64 y 1/6)))) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 y 1/6)))) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (/.f64 1 (/.f64 y x)) |
| ✓ | 4.9b | (*.f64 (sin.f64 y) (/.f64 1 (/.f64 y x))) |
Compiled 23 to 10 computations (56.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 1 (/.f64 y x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 y x)) |
| 0.0ms | y | @ | -inf | (/.f64 1 (/.f64 y x)) |
| 0.0ms | y | @ | 0 | (/.f64 1 (/.f64 y x)) |
| 0.0ms | x | @ | inf | (/.f64 1 (/.f64 y x)) |
| 1× | batch-egg-rewrite |
| 1478× | associate-/r* |
| 1324× | associate-*r/ |
| 966× | *-commutative |
| 946× | associate-/l* |
| 936× | associate-*l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 1 | 205 | 24 |
| 2 | 2618 | 24 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 y) (/.f64 1 (/.f64 y x))) |
(/.f64 1 (/.f64 y x)) |
| Outputs |
|---|
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2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x y))))))) |
| 1× | egg-herbie |
| 1204× | associate-/l* |
| 980× | distribute-rgt-in |
| 968× | distribute-lft-in |
| 816× | associate-/l/ |
| 530× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 515 | 5916 |
| 1 | 1368 | 5686 |
| 2 | 5994 | 5686 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 1) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x))) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1) |
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (*.f64 (sqrt.f64 (sin.f64 y)) x))) |
(/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) |
(/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (/.f64 y (*.f64 (sqrt.f64 (sin.f64 y)) x)) (cbrt.f64 (sqrt.f64 (sin.f64 y))))) |
(/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (/.f64 y (*.f64 (cbrt.f64 (sin.f64 y)) x)) (cbrt.f64 (sin.f64 y)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (*.f64 (cbrt.f64 (sin.f64 y)) x))) |
(/.f64 -1 (/.f64 (/.f64 y (neg.f64 x)) (sin.f64 y))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (/.f64 y (*.f64 (sqrt.f64 (sin.f64 y)) x)) (sqrt.f64 (cbrt.f64 (sin.f64 y))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (/.f64 y (*.f64 (cbrt.f64 (sin.f64 y)) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))) |
(/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 y))) (/.f64 (/.f64 y (*.f64 (sqrt.f64 (sin.f64 y)) x)) (sqrt.f64 (sqrt.f64 (sin.f64 y))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 (/.f64 y (*.f64 (cbrt.f64 (sin.f64 y)) x)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))) |
(/.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 y x))) |
(/.f64 (*.f64 (sin.f64 y) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) -1) (/.f64 y (neg.f64 x))) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 x)) |
(/.f64 (/.f64 (sin.f64 y) 1) (/.f64 y x)) |
(/.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 y x))) |
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x))) |
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(*.f64 (/.f64 (/.f64 1 y) -1) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 1 y) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1 y) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 -1 (neg.f64 (neg.f64 y))) (neg.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1) (cbrt.f64 (/.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 y)) (cbrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 x))) |
(pow.f64 (/.f64 y x) -1) |
(pow.f64 (/.f64 x y) 1) |
(pow.f64 (sqrt.f64 (/.f64 x y)) 2) |
(pow.f64 (cbrt.f64 (/.f64 x y)) 3) |
(pow.f64 (pow.f64 (/.f64 x y) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 y x) -2)) |
(log.f64 (exp.f64 (/.f64 x y))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x y)))) |
(cbrt.f64 (pow.f64 (/.f64 x y) 3)) |
(expm1.f64 (log1p.f64 (/.f64 x y))) |
(exp.f64 (log.f64 (/.f64 x y))) |
(exp.f64 (-.f64 (log.f64 x) (log.f64 y))) |
(log1p.f64 (expm1.f64 (/.f64 x y))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 1) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (*.f64 (sqrt.f64 (sin.f64 y)) x))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (/.f64 y (*.f64 (sqrt.f64 (sin.f64 y)) x)) (cbrt.f64 (sqrt.f64 (sin.f64 y))))) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 y (*.f64 x (sqrt.f64 (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (sin.f64 y)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (/.f64 y x) (sqrt.f64 (sin.f64 y))))) |
(/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (/.f64 y (*.f64 (cbrt.f64 (sin.f64 y)) x)) (cbrt.f64 (sin.f64 y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (*.f64 (cbrt.f64 (sin.f64 y)) x))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 -1 (/.f64 (/.f64 y (neg.f64 x)) (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (/.f64 y (*.f64 (sqrt.f64 (sin.f64 y)) x)) (sqrt.f64 (cbrt.f64 (sin.f64 y))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (*.f64 x (sqrt.f64 (sin.f64 y)))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (*.f64 (/.f64 (fabs.f64 (cbrt.f64 (sin.f64 y))) y) (*.f64 x (sqrt.f64 (sin.f64 y))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (/.f64 y (*.f64 (cbrt.f64 (sin.f64 y)) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (*.f64 x (cbrt.f64 (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) |
(/.f64 (*.f64 (fabs.f64 (cbrt.f64 (sin.f64 y))) (fabs.f64 (cbrt.f64 (sin.f64 y)))) (/.f64 (/.f64 y x) (cbrt.f64 (sin.f64 y)))) |
(/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 y))) (/.f64 (/.f64 y (*.f64 (sqrt.f64 (sin.f64 y)) x)) (sqrt.f64 (sqrt.f64 (sin.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 y))) (/.f64 y (*.f64 x (sqrt.f64 (sin.f64 y))))) (sqrt.f64 (sqrt.f64 (sin.f64 y)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 y))) (/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 y))) (/.f64 (/.f64 y x) (sqrt.f64 (sin.f64 y))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 (/.f64 y (*.f64 (cbrt.f64 (sin.f64 y)) x)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 y (*.f64 x (cbrt.f64 (sin.f64 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (/.f64 (/.f64 y x) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) |
(/.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 y x))) |
(/.f64 (sin.f64 y) (/.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) |
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(/.f64 (*.f64 (sin.f64 y) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) |
(/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) -1) (/.f64 y (neg.f64 x))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 x)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (/.f64 (sin.f64 y) 1) (/.f64 y x)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 y x))) |
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 x y))) |
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 -1 x)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 x))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (/.f64 y x))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (/.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (sin.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) |
(/.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 x (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 x (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(/.f64 (sin.f64 y) (/.f64 (cbrt.f64 y) (/.f64 x (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (sin.f64 y)) |
(/.f64 (*.f64 1 (*.f64 (sin.f64 y) -1)) (/.f64 y (neg.f64 x))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 x)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 1 (/.f64 (sin.f64 y) 1)) (/.f64 y x)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 1 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 x y)))) (sqrt.f64 (/.f64 y x))) |
(/.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 y x))) |
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 1 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))) (cbrt.f64 (/.f64 y x))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 1 (neg.f64 (sin.f64 y))) (/.f64 y (neg.f64 x))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (/.f64 y x))) |
(/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2))) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 x y))) 1) (sqrt.f64 (/.f64 y x))) |
(/.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 y x))) |
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 y (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 -1) (sin.f64 y)) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 y (neg.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 y (neg.f64 x)))) (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 x y)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) 1) (cbrt.f64 (/.f64 y x))) |
(/.f64 (sin.f64 y) (/.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) |
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) -1) (cbrt.f64 (/.f64 y (neg.f64 x)))) |
(/.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (cbrt.f64 (/.f64 y (neg.f64 x))) -1)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (neg.f64 (sin.f64 y))) (cbrt.f64 (/.f64 y (neg.f64 x)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) 1) (/.f64 1 x)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) 1) (/.f64 y x)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) (/.f64 1 y)) (/.f64 1 x)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) -1) (/.f64 y (neg.f64 x))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) (neg.f64 x)) (neg.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 y x))) |
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(/.f64 (/.f64 (/.f64 (sin.f64 y) 1) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) x)) |
(/.f64 (sin.f64 y) (/.f64 (cbrt.f64 y) (/.f64 x (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (sin.f64 y)) |
(/.f64 (/.f64 (/.f64 (sin.f64 y) 1) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (sqrt.f64 x)) (cbrt.f64 y)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (sin.f64 y) 1) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (/.f64 y x))) |
(/.f64 (sin.f64 y) (*.f64 (cbrt.f64 (/.f64 y x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 x y))) 1) (sqrt.f64 (/.f64 y x))) |
(/.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 y x))) |
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 x y))) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 y)) (sqrt.f64 (/.f64 1 x))) |
(/.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 1 x))) (/.f64 (sin.f64 y) (sqrt.f64 y))) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 x y))) (cbrt.f64 (/.f64 y x))) (cbrt.f64 (sqrt.f64 (/.f64 y x)))) |
(/.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 x y))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y x))) (cbrt.f64 (/.f64 y x)))) |
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 (sqrt.f64 (/.f64 y x)))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 y x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 y x)))) |
(/.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 y x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))) |
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 (cbrt.f64 (/.f64 y x)))) (/.f64 (sqrt.f64 (/.f64 x y)) (fabs.f64 (cbrt.f64 (/.f64 y x))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (sqrt.f64 (/.f64 y x)))) |
(/.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 y x))) |
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 x y))) |
(/.f64 (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) 1) (cbrt.f64 (/.f64 y x))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 y)) (cbrt.f64 (/.f64 1 x))) |
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 y))) |
(/.f64 (sin.f64 y) (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))) |
(/.f64 (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 y x)))) (sqrt.f64 (cbrt.f64 (/.f64 y x)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 y x))) (cbrt.f64 (cbrt.f64 (/.f64 y x))))) (cbrt.f64 (cbrt.f64 (/.f64 y x)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2))) (cbrt.f64 (cbrt.f64 (/.f64 y x)))) |
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 y x))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))) |
(/.f64 (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2))) |
(/.f64 (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 y x)))) (cbrt.f64 (sqrt.f64 (/.f64 y x)))) |
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y x))) (cbrt.f64 (sqrt.f64 (/.f64 y x))))) |
(/.f64 (sin.f64 y) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y x))) (cbrt.f64 (sqrt.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 (/.f64 1 x))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) 1) (/.f64 y (neg.f64 x))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) (sqrt.f64 (/.f64 y x))) (neg.f64 (sqrt.f64 (/.f64 y x)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (sqrt.f64 (/.f64 y x)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 y x))))) |
(/.f64 (sin.f64 y) (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (neg.f64 (cbrt.f64 (/.f64 y x)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) -1) (/.f64 y x)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) (/.f64 1 x)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) (sqrt.f64 (/.f64 y (neg.f64 x)))) (sqrt.f64 (/.f64 y (neg.f64 x)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (cbrt.f64 (/.f64 y (neg.f64 x))) (cbrt.f64 (/.f64 y (neg.f64 x))))) (cbrt.f64 (/.f64 y (neg.f64 x)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (/.f64 y x))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (sqrt.f64 (/.f64 y x)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 y x))))) |
(/.f64 (sin.f64 y) (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2))) (cbrt.f64 (/.f64 y x))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3) 1/3) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2)) |
(fabs.f64 (*.f64 x (/.f64 (sin.f64 y) y))) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 x y) 3))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) 1) |
(/.f64 x y) |
(*.f64 1 (/.f64 x y)) |
(/.f64 x y) |
(*.f64 x (/.f64 1 y)) |
(/.f64 x y) |
(*.f64 (/.f64 x y) 1) |
(/.f64 x y) |
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) |
(/.f64 x y) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y)) |
(/.f64 x y) |
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(/.f64 x y) |
(*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y))) |
(/.f64 x y) |
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) y)) |
(/.f64 x y) |
(*.f64 (/.f64 1 y) x) |
(/.f64 x y) |
(*.f64 (/.f64 1 y) (pow.f64 (/.f64 1 x) -1)) |
(/.f64 x y) |
(*.f64 -1 (/.f64 x (neg.f64 y))) |
(/.f64 x y) |
(*.f64 -1 (neg.f64 (/.f64 x y))) |
(/.f64 x y) |
(*.f64 (neg.f64 x) (/.f64 -1 y)) |
(/.f64 x y) |
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) |
(/.f64 x y) |
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 1)) |
(/.f64 x y) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (cbrt.f64 x)) |
(/.f64 x y) |
(*.f64 (/.f64 x (neg.f64 y)) -1) |
(/.f64 x y) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y))) |
(/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y))) |
(/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 -1 y) (neg.f64 x)) |
(/.f64 x y) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y)) |
(/.f64 x y) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y))) |
(/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y))) |
(/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) y)) |
(/.f64 x y) |
(*.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(/.f64 x y) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 x y))) |
(*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (pow.f64 (/.f64 1 x) -1) (/.f64 1 y)) |
(/.f64 x y) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y x)) -1) (pow.f64 (sqrt.f64 (/.f64 y x)) -1)) |
(pow.f64 (sqrt.f64 (/.f64 y x)) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 y x)) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 1 (cbrt.f64 (/.f64 y x)))) |
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 1 (cbrt.f64 (/.f64 y x)))) |
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) 1) (sqrt.f64 (/.f64 x y))) |
(/.f64 x y) |
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 x y) |
(*.f64 (/.f64 1 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 x))) |
(/.f64 x y) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 1 y) -1) (neg.f64 x)) |
(/.f64 x y) |
(*.f64 (/.f64 (/.f64 1 y) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 x y) |
(*.f64 (/.f64 (/.f64 1 y) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 x y) |
(*.f64 (/.f64 -1 (neg.f64 (neg.f64 y))) (neg.f64 x)) |
(/.f64 x y) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1) (cbrt.f64 (/.f64 x y))) |
(/.f64 x y) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 y)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 y))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 (cbrt.f64 y) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 x))) |
(pow.f64 (/.f64 y x) -1) |
(/.f64 x y) |
(pow.f64 (/.f64 x y) 1) |
(/.f64 x y) |
(pow.f64 (sqrt.f64 (/.f64 x y)) 2) |
(/.f64 x y) |
(pow.f64 (cbrt.f64 (/.f64 x y)) 3) |
(/.f64 x y) |
(pow.f64 (pow.f64 (/.f64 x y) 3) 1/3) |
(/.f64 x y) |
(sqrt.f64 (pow.f64 (/.f64 y x) -2)) |
(fabs.f64 (/.f64 x y)) |
(log.f64 (exp.f64 (/.f64 x y))) |
(/.f64 x y) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x y)))) |
(/.f64 x y) |
(cbrt.f64 (pow.f64 (/.f64 x y) 3)) |
(/.f64 x y) |
(expm1.f64 (log1p.f64 (/.f64 x y))) |
(/.f64 x y) |
(exp.f64 (log.f64 (/.f64 x y))) |
(/.f64 x y) |
(exp.f64 (-.f64 (log.f64 x) (log.f64 y))) |
(/.f64 x y) |
(log1p.f64 (expm1.f64 (/.f64 x y))) |
(/.f64 x y) |
Compiled 7932 to 4022 computations (49.3% saved)
21 alts after pruning (16 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 560 | 11 | 571 |
| Fresh | 5 | 5 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 5 | 9 |
| Total | 570 | 21 | 591 |
| Status | Error | Program |
|---|---|---|
| 6.3b | (/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) y) | |
| ✓ | 6.2b | (/.f64 (*.f64 (sin.f64 y) x) y) |
| 40.3b | (/.f64 (*.f64 y x) y) | |
| ▶ | 5.2b | (/.f64 (sin.f64 y) (/.f64 y x)) |
| ✓ | 0.2b | (/.f64 x (/.f64 y (sin.f64 y))) |
| ✓ | 25.9b | (/.f64 x (+.f64 1 (*.f64 (*.f64 y y) 1/6))) |
| 25.9b | (/.f64 x (+.f64 1 (*.f64 y (*.f64 1/6 y)))) | |
| ✓ | 34.1b | (/.f64 1 (/.f64 1 x)) |
| ▶ | 39.7b | (-.f64 (+.f64 1 x) 1) |
| ▶ | 34.7b | (+.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) x) |
| 53.9b | (*.f64 (/.f64 x y) (/.f64 6 y)) | |
| 6.3b | (*.f64 (/.f64 1 y) (*.f64 (sin.f64 y) x)) | |
| 62.5b | (*.f64 (*.f64 y y) (*.f64 -1/6 x)) | |
| 33.8b | (*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 y x)) -2)) | |
| 5.3b | (*.f64 (sin.f64 y) (*.f64 (/.f64 1 y) x)) | |
| 34.7b | (*.f64 x (+.f64 1 (+.f64 1 (-.f64 (*.f64 -1/6 (*.f64 y y)) 1)))) | |
| ✓ | 62.5b | (*.f64 x (*.f64 -1/6 (*.f64 y y))) |
| ▶ | 53.9b | (*.f64 6 (/.f64 x (*.f64 y y))) |
| 62.5b | (*.f64 -1/6 (*.f64 y (*.f64 y x))) | |
| ▶ | 47.2b | (sqrt.f64 (*.f64 x x)) |
| 34.1b | x |
Compiled 330 to 230 computations (30.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.0b | (/.f64 (sin.f64 y) (/.f64 y x)) |
Compiled 15 to 5 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 (sin.f64 y) (/.f64 y x)) |
| 0.0ms | y | @ | inf | (/.f64 (sin.f64 y) (/.f64 y x)) |
| 0.0ms | y | @ | -inf | (/.f64 (sin.f64 y) (/.f64 y x)) |
| 0.0ms | x | @ | -inf | (/.f64 (sin.f64 y) (/.f64 y x)) |
| 0.0ms | x | @ | inf | (/.f64 (sin.f64 y) (/.f64 y x)) |
| 1× | batch-egg-rewrite |
| 1936× | add-sqr-sqrt |
| 1924× | *-un-lft-identity |
| 1792× | add-cube-cbrt |
| 1766× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 169 | 17 |
| 2 | 2361 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 y) (/.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) y) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y)))))))) |
| 1× | egg-herbie |
| 1362× | associate-*r/ |
| 946× | associate-*l/ |
| 790× | associate-+l- |
| 770× | associate-/l* |
| 714× | associate-+r- |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 1340 |
| 1 | 354 | 1316 |
| 2 | 1345 | 1304 |
| 3 | 6337 | 1304 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 1) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1) |
(*.f64 1 (*.f64 (sin.f64 y) (/.f64 x y))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 x y))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 x y))) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (/.f64 (neg.f64 y) x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) 1) x) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 y x)))) |
(*.f64 (/.f64 (sin.f64 y) 1) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 y x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) y) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 y x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 y x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3) 1/3) |
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) -1) |
(neg.f64 (/.f64 (sin.f64 y) (/.f64 (neg.f64 y) x))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) x) |
(fma.f64 -1/6 (*.f64 (*.f64 x y) y) x) |
(fma.f64 -1/6 (*.f64 y (*.f64 x y)) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x)) |
(fma.f64 -1/6 (*.f64 (*.f64 x y) y) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x)) |
(fma.f64 x (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x))) |
(fma.f64 -1/6 (*.f64 (*.f64 x y) y) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x))) |
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 -1/5040 (pow.f64 y 6))) (fma.f64 -1/6 (*.f64 y (*.f64 x y)) x)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 1) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 1 (*.f64 (sin.f64 y) (/.f64 x y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 x y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 x y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (/.f64 (neg.f64 y) x))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) 1) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 x))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x)))) |
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x))) |
(/.f64 (sin.f64 y) (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 y x)))) |
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) |
(/.f64 (sin.f64 y) (*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 (/.f64 y x)))) |
(*.f64 (/.f64 (sin.f64 y) 1) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 x))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y x))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 y x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 y x)))) |
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) |
(/.f64 (sin.f64 y) (*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 (/.f64 y x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) y) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 x))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 y x))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 y x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x)))) |
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x))) |
(/.f64 (sin.f64 y) (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))) |
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3) 1/3) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) -1) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(neg.f64 (/.f64 (sin.f64 y) (/.f64 (neg.f64 y) x))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 1)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.5b | (-.f64 (+.f64 1 x) 1) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 x) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 x) 1) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 x) 1) |
| 1× | batch-egg-rewrite |
| 1320× | add-sqr-sqrt |
| 1304× | *-un-lft-identity |
| 1228× | add-cube-cbrt |
| 1220× | add-cbrt-cube |
| 1212× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 135 | 1 |
| 2 | 1882 | 1 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 x) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1))))) |
| 1× | egg-herbie |
| 1410× | distribute-lft-in |
| 1220× | fma-def |
| 1198× | distribute-rgt-in |
| 640× | associate-+r+ |
| 542× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 421 |
| 1 | 228 | 379 |
| 2 | 1277 | 363 |
| 1× | node limit |
| Inputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(+.f64 1 (+.f64 x -1)) |
(+.f64 1 (*.f64 (+.f64 x -1) 1)) |
(+.f64 x 0) |
(+.f64 (+.f64 1 x) -1) |
(+.f64 (+.f64 x -1) 1) |
(+.f64 -1 (+.f64 1 x)) |
(*.f64 1 x) |
(*.f64 x 1) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) |
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1)) |
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1))) |
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) |
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1)) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1)))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))) |
(pow.f64 x 1) |
(pow.f64 (sqrt.f64 x) 2) |
(pow.f64 (cbrt.f64 x) 3) |
(pow.f64 (pow.f64 x 3) 1/3) |
(sqrt.f64 (*.f64 x x)) |
(log.f64 (exp.f64 x)) |
(cbrt.f64 (pow.f64 x 3)) |
(expm1.f64 (log1p.f64 x)) |
(exp.f64 (log.f64 x)) |
(log1p.f64 (expm1.f64 x)) |
(fma.f64 1 (+.f64 1 x) -1) |
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1) |
| Outputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(+.f64 1 (+.f64 x -1)) |
x |
(+.f64 1 (*.f64 (+.f64 x -1) 1)) |
x |
(+.f64 x 0) |
x |
(+.f64 (+.f64 1 x) -1) |
x |
(+.f64 (+.f64 x -1) 1) |
x |
(+.f64 -1 (+.f64 1 x)) |
x |
(*.f64 1 x) |
x |
(*.f64 x 1) |
x |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
x |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) |
x |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) |
x |
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) |
x |
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1)) |
x |
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) |
x |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3))) |
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) |
x |
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1)) |
x |
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1))) |
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) |
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x)) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1)))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (-.f64 2 x))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (fma.f64 (+.f64 x -1) (+.f64 x -2) 1)) |
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2))) |
x |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3))) |
(pow.f64 x 1) |
x |
(pow.f64 (sqrt.f64 x) 2) |
x |
(pow.f64 (cbrt.f64 x) 3) |
x |
(pow.f64 (pow.f64 x 3) 1/3) |
x |
(sqrt.f64 (*.f64 x x)) |
x |
(log.f64 (exp.f64 x)) |
x |
(cbrt.f64 (pow.f64 x 3)) |
x |
(expm1.f64 (log1p.f64 x)) |
x |
(exp.f64 (log.f64 x)) |
x |
(log1p.f64 (expm1.f64 x)) |
x |
(fma.f64 1 (+.f64 1 x) -1) |
x |
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1) |
x |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1) |
x |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 6 (/.f64 x (*.f64 y y))) |
| ✓ | 6.5b | (/.f64 x (*.f64 y y)) |
Compiled 20 to 7 computations (65% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 x (*.f64 y y)) |
| 0.0ms | x | @ | -inf | (/.f64 x (*.f64 y y)) |
| 0.0ms | x | @ | -inf | (*.f64 6 (/.f64 x (*.f64 y y))) |
| 0.0ms | x | @ | inf | (*.f64 6 (/.f64 x (*.f64 y y))) |
| 0.0ms | x | @ | inf | (/.f64 x (*.f64 y y)) |
| 1× | batch-egg-rewrite |
| 1744× | add-sqr-sqrt |
| 1720× | *-un-lft-identity |
| 1612× | add-cube-cbrt |
| 1594× | add-cbrt-cube |
| 166× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 169 | 32 |
| 2 | 2233 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
(*.f64 6 (/.f64 x (*.f64 y y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) 2) (cbrt.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 x (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y 4))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y -2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 y (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y y) (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 6) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (/.f64 x y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (neg.f64 x)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) 6) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 6) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 6) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 6) 1) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 6) (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 6)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 x 6)) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) 36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) (pow.f64 y -2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6)))))))) |
| 1× | egg-herbie |
| 978× | associate-/l* |
| 924× | times-frac |
| 906× | associate-+r- |
| 906× | associate-+l- |
| 802× | unswap-sqr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 1785 |
| 1 | 363 | 1773 |
| 2 | 1347 | 1761 |
| 3 | 6268 | 1761 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y -2)))) 1) |
(*.f64 x (pow.f64 y -2)) |
(*.f64 (*.f64 x (pow.f64 y -2)) 1) |
(*.f64 1 (*.f64 x (pow.f64 y -2))) |
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y -2))) |
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) 2) (cbrt.f64 (*.f64 x (pow.f64 y -2)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 y -2))) |
(*.f64 (/.f64 x y) (/.f64 1 y)) |
(*.f64 (pow.f64 y -2) x) |
(*.f64 (neg.f64 x) (/.f64 1 (*.f64 y (neg.f64 y)))) |
(*.f64 (/.f64 1 y) (/.f64 x y)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 x (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 y y))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y 4))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 y y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (*.f64 x (pow.f64 y -2)))) |
(pow.f64 (*.f64 x (pow.f64 y -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 x) y) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) 3) |
(pow.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) 1/3) |
(pow.f64 (/.f64 y (/.f64 x y)) -1) |
(neg.f64 (/.f64 x (*.f64 y (neg.f64 y)))) |
(sqrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 4))) |
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 y -2))))) |
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y -2)))) |
(exp.f64 (log.f64 (*.f64 x (pow.f64 y -2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y -2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y -2)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6)))) 1) |
(/.f64 6 (/.f64 y (/.f64 x y))) |
(/.f64 1 (/.f64 (*.f64 y y) (*.f64 x 6))) |
(/.f64 (*.f64 x 6) (*.f64 y y)) |
(/.f64 (*.f64 6 (/.f64 x y)) y) |
(/.f64 (*.f64 6 (neg.f64 x)) (*.f64 y (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 x y) 6) y) |
(/.f64 (*.f64 (neg.f64 x) 6) (*.f64 y (neg.f64 y))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(/.f64 (/.f64 (*.f64 x 6) 1) (*.f64 y y)) |
(/.f64 (/.f64 (*.f64 x 6) (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 (neg.f64 (*.f64 x 6)) (*.f64 y (neg.f64 y))) |
(pow.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x 6)) y) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6)) 3) 1/3) |
(sqrt.f64 (*.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) 36)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (pow.f64 y -2)) 6)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6))))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6)))) |
| Outputs |
|---|
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(*.f64 6 (/.f64 x (pow.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y -2)))) 1) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(*.f64 x (pow.f64 y -2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 (*.f64 x (pow.f64 y -2)) 1) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(*.f64 1 (*.f64 x (pow.f64 y -2))) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y -2))) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) 2)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) 2) (cbrt.f64 (*.f64 x (pow.f64 y -2)))) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 y -2))) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(*.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(*.f64 (pow.f64 y -2) x) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(*.f64 (neg.f64 x) (/.f64 1 (*.f64 y (neg.f64 y)))) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(*.f64 (/.f64 1 y) (/.f64 x y)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 x (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4))) |
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 y y))) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y 4))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 x (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4))) |
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) y)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 y y))) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (*.f64 x (pow.f64 y -2)))) |
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 y 4)))) |
(pow.f64 (*.f64 x (pow.f64 y -2)) 1) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(pow.f64 (/.f64 (sqrt.f64 x) y) 2) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) 3) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(pow.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) 1/3) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(pow.f64 (/.f64 y (/.f64 x y)) -1) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(neg.f64 (/.f64 x (*.f64 y (neg.f64 y)))) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(sqrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 4))) |
(sqrt.f64 (/.f64 x (/.f64 (pow.f64 y 4) x))) |
(fabs.f64 (*.f64 x (pow.f64 y -2))) |
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y -2))) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 y -2))))) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y -2)))) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(exp.f64 (log.f64 (*.f64 x (pow.f64 y -2)))) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y -2))) 1)) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y -2)))) |
(/.f64 x (*.f64 y y)) |
(*.f64 x (pow.f64 y -2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6)))) 1) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(/.f64 6 (/.f64 y (/.f64 x y))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(/.f64 1 (/.f64 (*.f64 y y) (*.f64 x 6))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(/.f64 (*.f64 x 6) (*.f64 y y)) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(/.f64 (*.f64 6 (/.f64 x y)) y) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(/.f64 (*.f64 6 (neg.f64 x)) (*.f64 y (neg.f64 y))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(/.f64 (*.f64 (/.f64 x y) 6) y) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(/.f64 (*.f64 (neg.f64 x) 6) (*.f64 y (neg.f64 y))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(/.f64 (/.f64 (*.f64 x 6) 1) (*.f64 y y)) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(/.f64 (/.f64 (*.f64 x 6) (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 (*.f64 x 6) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 y 4)))) |
(/.f64 6 (/.f64 (*.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2)) x)) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 y 4))) (/.f64 6 (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (neg.f64 (*.f64 x 6)) (*.f64 y (neg.f64 y))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(pow.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6)) 1) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x 6)) y) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6))) 3) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6)) 3) 1/3) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(sqrt.f64 (*.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) 36)) |
(sqrt.f64 (*.f64 (/.f64 x (/.f64 (pow.f64 y 4) x)) 36)) |
(sqrt.f64 (/.f64 (*.f64 (*.f64 x x) 36) (pow.f64 y 4))) |
(fabs.f64 (*.f64 x (*.f64 6 (pow.f64 y -2)))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (pow.f64 y -2)) 6)) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6))))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6)) 3)) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6)))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6)))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6))) 1)) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (pow.f64 y -2) 6)))) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 (pow.f64 y -2) (*.f64 x 6)) |
(*.f64 x (*.f64 6 (pow.f64 y -2))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 x -1/6) |
| ✓ | 4.7b | (*.f64 (*.f64 y y) (*.f64 x -1/6)) |
Compiled 27 to 13 computations (51.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 x -1/6) |
| 0.0ms | x | @ | -inf | (*.f64 x -1/6) |
| 0.0ms | x | @ | inf | (*.f64 x -1/6) |
| 0.0ms | y | @ | 0 | (*.f64 (*.f64 y y) (*.f64 x -1/6)) |
| 0.0ms | y | @ | inf | (*.f64 (*.f64 y y) (*.f64 x -1/6)) |
| 1× | batch-egg-rewrite |
| 1512× | add-sqr-sqrt |
| 1490× | *-un-lft-identity |
| 1388× | add-cube-cbrt |
| 1368× | add-cbrt-cube |
| 1354× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 1 | 163 | 26 |
| 2 | 1957 | 26 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 y y) (*.f64 x -1/6)) |
(*.f64 x -1/6) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 y y) (*.f64 x -1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 (*.f64 x -1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (*.f64 x x) 1/36) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x -1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -1/6))))))) |
| 1× | egg-herbie |
| 1372× | distribute-lft-out |
| 1232× | fma-def |
| 922× | unswap-sqr |
| 812× | log-prod |
| 778× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 852 |
| 1 | 164 | 852 |
| 2 | 748 | 852 |
| 3 | 2808 | 852 |
| 4 | 5220 | 852 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(-.f64 (+.f64 1 (*.f64 (*.f64 y y) (*.f64 x -1/6))) 1) |
(pow.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) 1) |
(pow.f64 (*.f64 y (sqrt.f64 (*.f64 x -1/6))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6))) 3) |
(pow.f64 (pow.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) 3) 1/3) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) 1/36) (pow.f64 y 4))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) x) (*.f64 y y))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)))) |
(exp.f64 (log.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)))) |
(-.f64 (+.f64 1 (*.f64 x -1/6)) 1) |
(pow.f64 (*.f64 x -1/6) 1) |
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3) |
(pow.f64 (pow.f64 (*.f64 x -1/6) 3) 1/3) |
(sqrt.f64 (*.f64 (*.f64 x x) 1/36)) |
(log.f64 (pow.f64 (exp.f64 -1/6) x)) |
(cbrt.f64 (pow.f64 (*.f64 x -1/6) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x -1/6))) |
(exp.f64 (log.f64 (*.f64 x -1/6))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x -1/6)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x -1/6))) |
| Outputs |
|---|
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(-.f64 (+.f64 1 (*.f64 (*.f64 y y) (*.f64 x -1/6))) 1) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(pow.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) 1) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(pow.f64 (*.f64 y (sqrt.f64 (*.f64 x -1/6))) 2) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6))) 3) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) 3) 1/3) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) 1/36) (pow.f64 y 4))) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) x) (*.f64 y y))) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) 3)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)))) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(exp.f64 (log.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)))) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6))) 1)) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)))) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 y (*.f64 x (*.f64 -1/6 y))) |
(-.f64 (+.f64 1 (*.f64 x -1/6)) 1) |
(*.f64 -1/6 x) |
(pow.f64 (*.f64 x -1/6) 1) |
(*.f64 -1/6 x) |
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2) |
(*.f64 -1/6 x) |
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3) |
(*.f64 -1/6 x) |
(pow.f64 (pow.f64 (*.f64 x -1/6) 3) 1/3) |
(*.f64 -1/6 x) |
(sqrt.f64 (*.f64 (*.f64 x x) 1/36)) |
(*.f64 -1/6 x) |
(log.f64 (pow.f64 (exp.f64 -1/6) x)) |
(*.f64 -1/6 x) |
(cbrt.f64 (pow.f64 (*.f64 x -1/6) 3)) |
(*.f64 -1/6 x) |
(expm1.f64 (log1p.f64 (*.f64 x -1/6))) |
(*.f64 -1/6 x) |
(exp.f64 (log.f64 (*.f64 x -1/6))) |
(*.f64 -1/6 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x -1/6)) 1)) |
(*.f64 -1/6 x) |
(log1p.f64 (expm1.f64 (*.f64 x -1/6))) |
(*.f64 -1/6 x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 27.9b | (sqrt.f64 (*.f64 x x)) |
Compiled 10 to 4 computations (60% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (sqrt.f64 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (sqrt.f64 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 888× | add-sqr-sqrt |
| 872× | *-un-lft-identity |
| 836× | associate-*l* |
| 820× | pow1 |
| 812× | add-cube-cbrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 1 |
| 1 | 118 | 1 |
| 2 | 1162 | 1 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) 2)) (fabs.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (fabs.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 x)) (fabs.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (pow.f64 (*.f64 x (cbrt.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x)))))) |
| 1× | egg-herbie |
| 1092× | associate-+l- |
| 838× | distribute-lft-in |
| 734× | distribute-rgt-in |
| 640× | associate-+r+ |
| 640× | unswap-sqr |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 192 |
| 1 | 180 | 192 |
| 2 | 722 | 192 |
| 3 | 2433 | 182 |
| 4 | 7231 | 182 |
| 1× | node limit |
| Inputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
(*.f64 -1 x) |
(*.f64 -1 x) |
(*.f64 -1 x) |
(*.f64 -1 x) |
(-.f64 (+.f64 x 1) 1) |
(*.f64 x 1) |
(*.f64 x (pow.f64 1 1/2)) |
(*.f64 1 x) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) |
(*.f64 (sqrt.f64 (cbrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (*.f64 x (cbrt.f64 x)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) 1)) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) 2)) (fabs.f64 (cbrt.f64 x))) |
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (fabs.f64 (cbrt.f64 x)) 1)) |
(*.f64 (fabs.f64 (cbrt.f64 x)) (fabs.f64 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 1 1/2) x) |
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)) |
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) 1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (pow.f64 (*.f64 x (cbrt.f64 x)) 1/2)) |
(pow.f64 x 1) |
(pow.f64 (*.f64 x x) 1/2) |
(pow.f64 (sqrt.f64 x) 2) |
(pow.f64 (cbrt.f64 x) 3) |
(pow.f64 (pow.f64 x 3) 1/3) |
(fabs.f64 x) |
(fabs.f64 (neg.f64 x)) |
(log.f64 (exp.f64 x)) |
(cbrt.f64 (pow.f64 x 3)) |
(expm1.f64 (log1p.f64 x)) |
(exp.f64 (log.f64 x)) |
(log1p.f64 (expm1.f64 x)) |
| Outputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
(*.f64 -1 x) |
(neg.f64 x) |
(*.f64 -1 x) |
(neg.f64 x) |
(*.f64 -1 x) |
(neg.f64 x) |
(*.f64 -1 x) |
(neg.f64 x) |
(-.f64 (+.f64 x 1) 1) |
x |
(*.f64 x 1) |
x |
(*.f64 x (pow.f64 1 1/2)) |
x |
(*.f64 1 x) |
x |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
x |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) |
x |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) |
x |
(*.f64 (sqrt.f64 (cbrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
x |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (*.f64 x (cbrt.f64 x)))) |
x |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 x))) |
x |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))) |
x |
(*.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
x |
(*.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) 1)) |
x |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
x |
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
x |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) 4)) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))) |
x |
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))) |
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 x (cbrt.f64 x))))) |
(*.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) 2)) (fabs.f64 (cbrt.f64 x))) |
x |
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (fabs.f64 (cbrt.f64 x)) 1)) |
x |
(*.f64 (fabs.f64 (cbrt.f64 x)) (fabs.f64 (pow.f64 (cbrt.f64 x) 2))) |
x |
(*.f64 (pow.f64 1 1/2) x) |
x |
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)) |
x |
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) 1)) |
x |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (pow.f64 (*.f64 x (cbrt.f64 x)) 1/2)) |
x |
(pow.f64 x 1) |
x |
(pow.f64 (*.f64 x x) 1/2) |
x |
(pow.f64 (sqrt.f64 x) 2) |
x |
(pow.f64 (cbrt.f64 x) 3) |
x |
(pow.f64 (pow.f64 x 3) 1/3) |
x |
(fabs.f64 x) |
x |
(fabs.f64 (neg.f64 x)) |
x |
(log.f64 (exp.f64 x)) |
x |
(cbrt.f64 (pow.f64 x 3)) |
x |
(expm1.f64 (log1p.f64 x)) |
x |
(exp.f64 (log.f64 x)) |
x |
(log1p.f64 (expm1.f64 x)) |
x |
Compiled 2652 to 1478 computations (44.3% saved)
21 alts after pruning (13 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 252 | 5 | 257 |
| Fresh | 3 | 8 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 8 | 9 |
| Total | 257 | 21 | 278 |
| Status | Error | Program |
|---|---|---|
| 53.9b | (/.f64 (/.f64 (*.f64 x 6) y) y) | |
| 6.3b | (/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) y) | |
| ✓ | 6.2b | (/.f64 (*.f64 (sin.f64 y) x) y) |
| 53.9b | (/.f64 (*.f64 x 6) (*.f64 y y)) | |
| ✓ | 5.2b | (/.f64 (sin.f64 y) (/.f64 y x)) |
| ✓ | 0.2b | (/.f64 x (/.f64 y (sin.f64 y))) |
| ✓ | 25.9b | (/.f64 x (+.f64 1 (*.f64 (*.f64 y y) 1/6))) |
| 25.9b | (/.f64 x (+.f64 1 (*.f64 y (*.f64 1/6 y)))) | |
| 53.9b | (/.f64 6 (/.f64 y (/.f64 x y))) | |
| ✓ | 34.1b | (/.f64 1 (/.f64 1 x)) |
| ✓ | 39.7b | (-.f64 (+.f64 1 x) 1) |
| ✓ | 34.7b | (+.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) x) |
| 53.9b | (*.f64 (/.f64 x y) (/.f64 6 y)) | |
| 6.3b | (*.f64 (/.f64 1 y) (*.f64 (sin.f64 y) x)) | |
| 33.8b | (*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 y x)) -2)) | |
| 5.3b | (*.f64 (sin.f64 y) (*.f64 (/.f64 1 y) x)) | |
| 34.7b | (*.f64 x (+.f64 1 (+.f64 1 (-.f64 (*.f64 -1/6 (*.f64 y y)) 1)))) | |
| ✓ | 53.9b | (*.f64 6 (/.f64 x (*.f64 y y))) |
| 53.9b | (*.f64 6 (*.f64 (neg.f64 x) (/.f64 1 (*.f64 y (neg.f64 y))))) | |
| 61.7b | (neg.f64 x) | |
| 34.1b | x |
Compiled 192 to 136 computations (29.2% saved)
| Inputs |
|---|
x |
(neg.f64 x) |
(-.f64 (+.f64 1 x) 1) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 (*.f64 y x) y) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 6 (/.f64 x (*.f64 y y))) |
(*.f64 x (*.f64 -1/6 (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 (/.f64 x y) (/.f64 6 y)) |
(/.f64 1 (/.f64 y (*.f64 y x))) |
(/.f64 6 (/.f64 y (/.f64 x y))) |
(/.f64 (*.f64 x 6) (*.f64 y y)) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y)))) |
(+.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) x) |
(/.f64 x (+.f64 1 (*.f64 y (*.f64 1/6 y)))) |
(/.f64 x (+.f64 1 (*.f64 (*.f64 y y) 1/6))) |
(*.f64 6 (*.f64 (neg.f64 x) (/.f64 1 (*.f64 y (neg.f64 y))))) |
(*.f64 x (+.f64 1 (+.f64 1 (-.f64 (*.f64 -1/6 (*.f64 y y)) 1)))) |
(sqrt.f64 (*.f64 x x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (*.f64 (/.f64 1 y) (sin.f64 y))) |
(*.f64 (sin.f64 y) (*.f64 x (/.f64 1 y))) |
(*.f64 (sin.f64 y) (*.f64 (/.f64 1 y) x)) |
(*.f64 (sin.f64 y) (/.f64 1 (/.f64 y x))) |
(*.f64 (/.f64 1 y) (*.f64 (sin.f64 y) x)) |
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x))) |
(/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) y) |
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 1 (sin.f64 y)))) |
(*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 y x)) -2)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) x) (sqrt.f64 y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(*.f64 x (*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
4 calls:
| 59.0ms | y |
| 55.0ms | x |
| 50.0ms | (/.f64 (sin.f64 y) y) |
| 18.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
| 0.2b | 1 | y |
| 0.2b | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 0.2b | 1 | (/.f64 (sin.f64 y) y) |
Compiled 339 to 163 computations (51.9% saved)
| Inputs |
|---|
x |
(neg.f64 x) |
(-.f64 (+.f64 1 x) 1) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 (*.f64 y x) y) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 6 (/.f64 x (*.f64 y y))) |
(*.f64 x (*.f64 -1/6 (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 (/.f64 x y) (/.f64 6 y)) |
(/.f64 1 (/.f64 y (*.f64 y x))) |
(/.f64 6 (/.f64 y (/.f64 x y))) |
(/.f64 (*.f64 x 6) (*.f64 y y)) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y)))) |
(+.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) x) |
(/.f64 x (+.f64 1 (*.f64 y (*.f64 1/6 y)))) |
(/.f64 x (+.f64 1 (*.f64 (*.f64 y y) 1/6))) |
(*.f64 6 (*.f64 (neg.f64 x) (/.f64 1 (*.f64 y (neg.f64 y))))) |
(*.f64 x (+.f64 1 (+.f64 1 (-.f64 (*.f64 -1/6 (*.f64 y y)) 1)))) |
(sqrt.f64 (*.f64 x x)) |
| Outputs |
|---|
(/.f64 x (+.f64 1 (*.f64 y (*.f64 1/6 y)))) |
2 calls:
| 11.0ms | x |
| 10.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 25.9b | 1 | x |
| 25.9b | 1 | y |
Compiled 160 to 88 computations (45% saved)
| Inputs |
|---|
x |
(neg.f64 x) |
(-.f64 (+.f64 1 x) 1) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 (*.f64 y x) y) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 6 (/.f64 x (*.f64 y y))) |
(*.f64 x (*.f64 -1/6 (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 (/.f64 x y) (/.f64 6 y)) |
(/.f64 1 (/.f64 y (*.f64 y x))) |
(/.f64 6 (/.f64 y (/.f64 x y))) |
(/.f64 (*.f64 x 6) (*.f64 y y)) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y)))) |
(+.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) x) |
| Outputs |
|---|
(*.f64 6 (/.f64 x (*.f64 y y))) |
(+.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) x) |
(*.f64 (/.f64 x y) (/.f64 6 y)) |
2 calls:
| 47.0ms | y |
| 25.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 32.6b | 3 | x |
| 25.9b | 3 | y |
Compiled 114 to 59 computations (48.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 0.036650016028584635 | 2838766389.6794677 |
| 19.0ms | -5.8500676637621296e+20 | -474837801366198140.0 |
| 36.0ms | 288× | body | 256 | valid |
Compiled 409 to 279 computations (31.8% saved)
| Inputs |
|---|
x |
(neg.f64 x) |
(-.f64 (+.f64 1 x) 1) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 (*.f64 y x) y) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 6 (/.f64 x (*.f64 y y))) |
(*.f64 x (*.f64 -1/6 (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 (/.f64 x y) (/.f64 6 y)) |
(/.f64 1 (/.f64 y (*.f64 y x))) |
(/.f64 6 (/.f64 y (/.f64 x y))) |
(/.f64 (*.f64 x 6) (*.f64 y y)) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
(*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y)))) |
| Outputs |
|---|
(*.f64 6 (/.f64 x (*.f64 y y))) |
(*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y)))) |
(*.f64 (/.f64 x y) (/.f64 6 y)) |
2 calls:
| 54.0ms | y |
| 24.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 32.6b | 3 | x |
| 25.9b | 3 | y |
Compiled 105 to 55 computations (47.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 51.0ms | 0.036650016028584635 | 2838766389.6794677 |
| 19.0ms | -5.8500676637621296e+20 | -474837801366198140.0 |
| 65.0ms | 288× | body | 256 | valid |
Compiled 409 to 297 computations (27.4% saved)
| Inputs |
|---|
x |
(neg.f64 x) |
(-.f64 (+.f64 1 x) 1) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 (*.f64 y x) y) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 6 (/.f64 x (*.f64 y y))) |
(*.f64 x (*.f64 -1/6 (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
(*.f64 (/.f64 x y) (/.f64 6 y)) |
(/.f64 1 (/.f64 y (*.f64 y x))) |
(/.f64 6 (/.f64 y (/.f64 x y))) |
(/.f64 (*.f64 x 6) (*.f64 y y)) |
(/.f64 (/.f64 (*.f64 x 6) y) y) |
| Outputs |
|---|
(*.f64 6 (/.f64 x (*.f64 y y))) |
x |
(*.f64 (/.f64 x y) (/.f64 6 y)) |
2 calls:
| 24.0ms | y |
| 22.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 32.6b | 3 | x |
| 26.2b | 3 | y |
Compiled 96 to 50 computations (47.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 0.036650016028584635 | 2838766389.6794677 |
| 21.0ms | -60784584129.858795 | -0.004628611909712518 |
| 38.0ms | 320× | body | 256 | valid |
Compiled 293 to 209 computations (28.7% saved)
| Inputs |
|---|
x |
(neg.f64 x) |
(-.f64 (+.f64 1 x) 1) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 (*.f64 y x) y) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
(*.f64 6 (/.f64 x (*.f64 y y))) |
(*.f64 x (*.f64 -1/6 (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 -1/6 x)) |
| Outputs |
|---|
(*.f64 6 (/.f64 x (*.f64 y y))) |
x |
(*.f64 6 (/.f64 x (*.f64 y y))) |
2 calls:
| 36.0ms | y |
| 16.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 32.6b | 3 | x |
| 26.2b | 3 | y |
Compiled 61 to 33 computations (45.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.036650016028584635 | 2838766389.6794677 |
| 22.0ms | -60784584129.858795 | -0.004628611909712518 |
| 39.0ms | 320× | body | 256 | valid |
Compiled 293 to 209 computations (28.7% saved)
| Inputs |
|---|
x |
(neg.f64 x) |
(-.f64 (+.f64 1 x) 1) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 (*.f64 y x) y) |
(*.f64 -1/6 (*.f64 x (*.f64 y y))) |
(*.f64 -1/6 (*.f64 y (*.f64 y x))) |
| Outputs |
|---|
(-.f64 (+.f64 1 x) 1) |
x |
(-.f64 (+.f64 1 x) 1) |
2 calls:
| 30.0ms | y |
| 13.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 32.6b | 3 | x |
| 26.5b | 3 | y |
Compiled 40 to 24 computations (40% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 0.036650016028584635 | 2838766389.6794677 |
| 18.0ms | -3.029697133954348e+33 | -1.8442035174889557e+32 |
| 37.0ms | 272× | body | 256 | valid |
Compiled 217 to 179 computations (17.5% saved)
Total -28.2b remaining (-82.9%)
Threshold costs -28.2b (-82.9%)
| Inputs |
|---|
x |
(neg.f64 x) |
| Outputs |
|---|
x |
2 calls:
| 5.0ms | x |
| 3.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 34.1b | 1 | x |
| 34.1b | 1 | y |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
| 18× | *-commutative |
| 10× | +-commutative |
| 4× | if-if-or-not |
| 2× | sub-neg |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 346 |
| 1 | 81 | 346 |
| 2 | 82 | 346 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 x (+.f64 1 (*.f64 y (*.f64 1/6 y)))) |
(if (<=.f64 y -1120000000000000000) (*.f64 6 (/.f64 x (*.f64 y y))) (if (<=.f64 y 7093169413108531/1125899906842624) (+.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) x) (*.f64 (/.f64 x y) (/.f64 6 y)))) |
(if (<=.f64 y -1120000000000000000) (*.f64 6 (/.f64 x (*.f64 y y))) (if (<=.f64 y 7093169413108531/1125899906842624) (*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y)))) (*.f64 (/.f64 x y) (/.f64 6 y)))) |
(if (<=.f64 y -5/2) (*.f64 6 (/.f64 x (*.f64 y y))) (if (<=.f64 y 2758454771764429/1125899906842624) x (*.f64 (/.f64 x y) (/.f64 6 y)))) |
(if (<=.f64 y -5/2) (*.f64 6 (/.f64 x (*.f64 y y))) (if (<=.f64 y 2758454771764429/1125899906842624) x (*.f64 6 (/.f64 x (*.f64 y y))))) |
(if (<=.f64 y -235000000000000011709761254850560) (-.f64 (+.f64 1 x) 1) (if (<=.f64 y 12500) x (-.f64 (+.f64 1 x) 1))) |
x |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 x (+.f64 1 (*.f64 y (*.f64 1/6 y)))) |
(/.f64 x (+.f64 1 (*.f64 y (*.f64 y 1/6)))) |
(if (<=.f64 y -1120000000000000000) (*.f64 6 (/.f64 x (*.f64 y y))) (if (<=.f64 y 7093169413108531/1125899906842624) (+.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) x) (*.f64 (/.f64 x y) (/.f64 6 y)))) |
(if (<=.f64 y -1120000000000000000) (*.f64 6 (/.f64 x (*.f64 y y))) (if (<=.f64 y 7093169413108531/1125899906842624) (+.f64 x (*.f64 (*.f64 y y) (*.f64 x -1/6))) (*.f64 (/.f64 x y) (/.f64 6 y)))) |
(if (<=.f64 y -1120000000000000000) (*.f64 6 (/.f64 x (*.f64 y y))) (if (<=.f64 y 7093169413108531/1125899906842624) (*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y)))) (*.f64 (/.f64 x y) (/.f64 6 y)))) |
(if (<=.f64 y -1120000000000000000) (*.f64 6 (/.f64 x (*.f64 y y))) (if (<=.f64 y 7093169413108531/1125899906842624) (*.f64 x (+.f64 1 (*.f64 (*.f64 y y) -1/6))) (*.f64 (/.f64 x y) (/.f64 6 y)))) |
(if (<=.f64 y -5/2) (*.f64 6 (/.f64 x (*.f64 y y))) (if (<=.f64 y 2758454771764429/1125899906842624) x (*.f64 (/.f64 x y) (/.f64 6 y)))) |
(if (<=.f64 y -5/2) (*.f64 6 (/.f64 x (*.f64 y y))) (if (<=.f64 y 2758454771764429/1125899906842624) x (*.f64 6 (/.f64 x (*.f64 y y))))) |
(if (or (<=.f64 y -5/2) (not (<=.f64 y 2758454771764429/1125899906842624))) (*.f64 6 (/.f64 x (*.f64 y y))) x) |
(if (<=.f64 y -235000000000000011709761254850560) (-.f64 (+.f64 1 x) 1) (if (<=.f64 y 12500) x (-.f64 (+.f64 1 x) 1))) |
(if (or (<=.f64 y -235000000000000011709761254850560) (not (<=.f64 y 12500))) (+.f64 (+.f64 x 1) -1) x) |
x |
Compiled 149 to 98 computations (34.2% saved)
Compiled 135 to 76 computations (43.7% saved)
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