Time bar (total: 4.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 7 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 8 |
| 50% | 43.7% | 43.7% | 0.1% | 12.5% | 0% | 0% | 9 |
| 50% | 43.7% | 43.7% | 0.1% | 12.5% | 0% | 0% | 10 |
| 57.7% | 46.8% | 34.3% | 0.1% | 18.7% | 0% | 0% | 11 |
| 57.7% | 46.8% | 34.3% | 0.1% | 18.7% | 0% | 0% | 12 |
Compiled 10 to 7 computations (30% saved)
| 699.0ms | 2063× | body | 1024 | valid |
| 667.0ms | 5150× | body | 256 | valid |
| 645.0ms | 2083× | body | 1024 | infinite |
| 364.0ms | 1040× | body | 512 | valid |
| 277.0ms | 2046× | body | 256 | infinite |
| 247.0ms | 1001× | body | 512 | infinite |
| 2.0ms | 3× | body | 2048 | valid |
| 2× | egg-herbie |
| 1300× | associate-*r/ |
| 1142× | distribute-lft-in |
| 1098× | associate-/r* |
| 988× | distribute-rgt-in |
| 824× | fma-def |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 42 |
| 1 | 30 | 42 |
| 2 | 63 | 42 |
| 3 | 138 | 42 |
| 4 | 315 | 42 |
| 5 | 747 | 42 |
| 6 | 2400 | 42 |
| 7 | 6377 | 42 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x)) |
| Outputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) |
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x)) |
(*.f64 (sinh.f64 x) (/.f64 (cos.f64 y) x)) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 1226× | fma-neg |
| 1040× | associate-*r* |
| 842× | associate-/l* |
| 742× | distribute-lft-in |
| 686× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 18 | 21 |
| 2 | 36 | 21 |
| 3 | 75 | 21 |
| 4 | 167 | 21 |
| 5 | 389 | 21 |
| 6 | 1223 | 21 |
| 7 | 4871 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (sinh.f64 y) y) |
| ✓ | 0.0b | (sinh.f64 y) |
Compiled 19 to 6 computations (68.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 (sinh.f64 y) y) |
| 1.0ms | y | @ | inf | (sinh.f64 y) |
| 1.0ms | y | @ | -inf | (sinh.f64 y) |
| 0.0ms | y | @ | 0 | (sinh.f64 y) |
| 0.0ms | y | @ | inf | (/.f64 (sinh.f64 y) y) |
| 1× | batch-egg-rewrite |
| 1372× | add-sqr-sqrt |
| 1358× | *-un-lft-identity |
| 1266× | add-cube-cbrt |
| 1248× | add-cbrt-cube |
| 1238× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 1 | 126 | 16 |
| 2 | 1662 | 16 |
| 1× | node limit |
| Inputs |
|---|
(sinh.f64 y) |
(/.f64 (sinh.f64 y) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sinh.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sinh.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (sinh.f64 y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sinh.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sinh.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sinh.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sinh.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sinh.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y))))))) |
| 1× | egg-herbie |
| 1102× | times-frac |
| 950× | associate-+r- |
| 910× | associate-/r* |
| 872× | unswap-sqr |
| 626× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 1751 |
| 1 | 346 | 1435 |
| 2 | 1910 | 1139 |
| 3 | 7703 | 1139 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
(+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
(+.f64 (*.f64 1/5040 (pow.f64 y 7)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
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 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(-.f64 (+.f64 1 (sinh.f64 y)) 1) |
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2)) |
(*.f64 (sinh.f64 y) 1) |
(*.f64 1 (sinh.f64 y)) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (*.f64 2 (sinh.f64 y)) 1/2) |
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) |
(/.f64 (*.f64 2 (sinh.f64 y)) 2) |
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 y))) -2) |
(pow.f64 (sinh.f64 y) 1) |
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2) |
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3) |
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3) |
(sqrt.f64 (pow.f64 (sinh.f64 y) 2)) |
(log.f64 (exp.f64 (sinh.f64 y))) |
(cbrt.f64 (pow.f64 (sinh.f64 y) 3)) |
(expm1.f64 (log1p.f64 (sinh.f64 y))) |
(exp.f64 (log.f64 (sinh.f64 y))) |
(log1p.f64 (expm1.f64 (sinh.f64 y))) |
(-.f64 (+.f64 1 (/.f64 (sinh.f64 y) y)) 1) |
(*.f64 (sinh.f64 y) (/.f64 1 y)) |
(*.f64 (/.f64 (sinh.f64 y) y) 1) |
(*.f64 1 (/.f64 (sinh.f64 y) y)) |
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y))) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y))) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y))) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 y))) |
(*.f64 (/.f64 1 y) (sinh.f64 y)) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y)) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) y))) |
(pow.f64 (/.f64 (sinh.f64 y) y) 1) |
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3) |
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3) |
(pow.f64 (/.f64 y (sinh.f64 y)) -1) |
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y))) |
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2)) |
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y))) |
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) |
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y))) |
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y))) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
(fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y)) |
(fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) |
(+.f64 (*.f64 1/5040 (pow.f64 y 7)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))) |
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))) |
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y))) |
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
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) |
(fma.f64 y (*.f64 y 1/6) 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 (fma.f64 1/6 (*.f64 y y) 1) (*.f64 1/120 (pow.f64 y 4))) |
(fma.f64 y (*.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) 1)) |
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))) |
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))) |
(fma.f64 1/5040 (pow.f64 y 6) (fma.f64 y (*.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) 1))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(-.f64 (+.f64 1 (sinh.f64 y)) 1) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2)) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(*.f64 (sinh.f64 y) 1) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(*.f64 1 (sinh.f64 y)) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y))) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y))) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(*.f64 (*.f64 2 (sinh.f64 y)) 1/2) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(/.f64 (*.f64 2 (sinh.f64 y)) 2) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 y))) -2) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(pow.f64 (sinh.f64 y) 1) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(sqrt.f64 (pow.f64 (sinh.f64 y) 2)) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(log.f64 (exp.f64 (sinh.f64 y))) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(cbrt.f64 (pow.f64 (sinh.f64 y) 3)) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(expm1.f64 (log1p.f64 (sinh.f64 y))) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(exp.f64 (log.f64 (sinh.f64 y))) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(log1p.f64 (expm1.f64 (sinh.f64 y))) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(-.f64 (+.f64 1 (/.f64 (sinh.f64 y) y)) 1) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(*.f64 (sinh.f64 y) (/.f64 1 y)) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(*.f64 (/.f64 (sinh.f64 y) y) 1) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(*.f64 1 (/.f64 (sinh.f64 y) y)) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 y))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(*.f64 (/.f64 1 y) (sinh.f64 y)) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 y))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y))) |
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 (sinh.f64 y) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y)) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y))) |
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 (sinh.f64 y) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) y)) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) y))) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2))) |
(pow.f64 (/.f64 (sinh.f64 y) y) 1) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(pow.f64 (/.f64 y (sinh.f64 y)) -1) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2)) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1)) |
(+.f64 (/.f64 (sinh.f64 y) y) 0) |
(/.f64 (sinh.f64 y) y) |
Compiled 1103 to 535 computations (51.5% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 85 | 3 | 88 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 85 | 4 | 89 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| ▶ | 0.6b | (*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
| ▶ | 35.7b | (*.f64 (cos.f64 x) (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y))) |
| ▶ | 0.7b | (*.f64 (cos.f64 x) 1) |
Compiled 43 to 30 computations (30.2% saved)
Compiled 10 to 6 computations (40% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.1b | (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y)) |
| ✓ | 0.1b | (/.f64 (sqrt.f64 (sinh.f64 y)) y) |
Compiled 47 to 16 computations (66% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 (sqrt.f64 (sinh.f64 y)) y) |
| 1.0ms | y | @ | inf | (/.f64 (sqrt.f64 (sinh.f64 y)) y) |
| 0.0ms | y | @ | 0 | (/.f64 (sqrt.f64 (sinh.f64 y)) y) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y)) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y)) |
| 1× | batch-egg-rewrite |
| 1884× | add-sqr-sqrt |
| 1862× | *-un-lft-identity |
| 1740× | add-cube-cbrt |
| 1714× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 213 | 26 |
| 2 | 2443 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 (sinh.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sinh.f64 y) 1/4) (*.f64 (pow.f64 (sinh.f64 y) 1/4) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sinh.f64 y) 1/4) (/.f64 (pow.f64 (sinh.f64 y) 1/4) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)) (sqrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sinh.f64 y)) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)) (cbrt.f64 (/.f64 (sinh.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (*.f64 y y))) (cbrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sqrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (*.f64 y y))) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sinh.f64 y) 1/4) (cbrt.f64 (*.f64 y y))) (/.f64 (pow.f64 (sinh.f64 y) 1/4) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (sinh.f64 y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 y (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (pow.f64 (sinh.f64 y) -1/2) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (pow.f64 (sinh.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (pow.f64 (sinh.f64 y) -1/2) (/.f64 y (sqrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (pow.f64 (sinh.f64 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 1 (sqrt.f64 (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 y (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2)) (/.f64 1 (cbrt.f64 (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (*.f64 (pow.f64 (sinh.f64 y) -1/2) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (*.f64 -1 (/.f64 y (sqrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (*.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (*.f64 (neg.f64 y) (pow.f64 (sinh.f64 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sinh.f64 y)) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 (sinh.f64 y)))) (*.f64 -1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 (sinh.f64 y)))) (*.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (neg.f64 (sqrt.f64 (sinh.f64 y)))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (neg.f64 (sqrt.f64 (sinh.f64 y)))) (*.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (neg.f64 (sqrt.f64 (sinh.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 (sinh.f64 y)) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sinh.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sinh.f64 y) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y))))))) |
| 1× | egg-herbie |
| 1316× | associate-+r- |
| 806× | associate-/r/ |
| 732× | associate-/l/ |
| 654× | *-commutative |
| 640× | unswap-sqr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 2090 |
| 1 | 468 | 2032 |
| 2 | 1957 | 2022 |
| 3 | 7227 | 2022 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
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 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y))) 1) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y)) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) 1) |
(*.f64 1 (/.f64 (sqrt.f64 (sinh.f64 y)) y)) |
(*.f64 (pow.f64 (sinh.f64 y) 1/4) (*.f64 (pow.f64 (sinh.f64 y) 1/4) (/.f64 1 y))) |
(*.f64 (pow.f64 (sinh.f64 y) 1/4) (/.f64 (pow.f64 (sinh.f64 y) 1/4) y)) |
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 1 (sqrt.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)) (sqrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y))) |
(*.f64 (cbrt.f64 (sinh.f64 y)) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (/.f64 1 y))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)) (cbrt.f64 (/.f64 (sinh.f64 y) (*.f64 y y)))) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (*.f64 y y))) (cbrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y))) |
(*.f64 (/.f64 1 y) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (/.f64 1 (neg.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (*.f64 y y))) (/.f64 1 (cbrt.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (sqrt.f64 (/.f64 (sinh.f64 y) y))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (sinh.f64 y) 1/4) (cbrt.f64 (*.f64 y y))) (/.f64 (pow.f64 (sinh.f64 y) 1/4) (cbrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) y)) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y))) |
(pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) 1) |
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)) 3) |
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) 3) 1/3) |
(pow.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) -1) |
(neg.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (neg.f64 y))) |
(sqrt.f64 (/.f64 (sinh.f64 y) (*.f64 y y))) |
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)))) |
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y))) |
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 y (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (pow.f64 (sinh.f64 y) -1/2) y)) |
(/.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (pow.f64 (sinh.f64 y) -1/2)) |
(/.f64 1 (/.f64 y (sinh.f64 y))) |
(/.f64 1 (/.f64 1 (/.f64 (sinh.f64 y) y))) |
(/.f64 1 (*.f64 (pow.f64 (sinh.f64 y) -1/2) (/.f64 y (sqrt.f64 (sinh.f64 y))))) |
(/.f64 1 (*.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (pow.f64 (sinh.f64 y) -1/2))) |
(/.f64 (/.f64 (sinh.f64 y) y) 1) |
(/.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 1 (sqrt.f64 (/.f64 (sinh.f64 y) y)))) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 y (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2)) (/.f64 1 (cbrt.f64 (/.f64 (sinh.f64 y) y)))) |
(/.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (*.f64 (pow.f64 (sinh.f64 y) -1/2) (neg.f64 y))) |
(/.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (*.f64 -1 (/.f64 y (sqrt.f64 (sinh.f64 y))))) |
(/.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (*.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) -1)) |
(/.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (*.f64 (neg.f64 y) (pow.f64 (sinh.f64 y) -1/2))) |
(/.f64 (*.f64 2 (sinh.f64 y)) (*.f64 y 2)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 (sinh.f64 y)))) (*.f64 -1 (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 (sinh.f64 y)))) (*.f64 (neg.f64 y) -1)) |
(/.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (neg.f64 (sqrt.f64 (sinh.f64 y)))) (neg.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (neg.f64 (sqrt.f64 (sinh.f64 y)))) (*.f64 y -1)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (neg.f64 (sqrt.f64 (sinh.f64 y)))) -1) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) (*.f64 (neg.f64 y) 1)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 (sinh.f64 y)) y)) -1) |
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) |
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 (sinh.f64 y) y)) -1) |
(pow.f64 (/.f64 (sinh.f64 y) y) 1) |
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3) |
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2)) |
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y)))) |
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) |
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y))) |
| Outputs |
|---|
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
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 (fma.f64 1/6 (*.f64 y y) 1) (*.f64 1/120 (pow.f64 y 4))) |
(fma.f64 y (*.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) 1)) |
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))) |
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))) |
(fma.f64 1/5040 (pow.f64 y 6) (fma.f64 y (*.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) 1))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y))) 1) |
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y)) |
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) 1) |
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(*.f64 1 (/.f64 (sqrt.f64 (sinh.f64 y)) y)) |
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(*.f64 (pow.f64 (sinh.f64 y) 1/4) (*.f64 (pow.f64 (sinh.f64 y) 1/4) (/.f64 1 y))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(*.f64 (pow.f64 (sinh.f64 y) 1/4) (/.f64 (pow.f64 (sinh.f64 y) 1/4) y)) |
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 1 (sqrt.f64 y))) |
(/.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)) (sqrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(*.f64 (cbrt.f64 (sinh.f64 y)) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (/.f64 1 y))) |
(*.f64 (cbrt.f64 (sinh.f64 y)) (*.f64 (/.f64 1 y) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))) |
(*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) y)) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) y) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)) (cbrt.f64 (/.f64 (sinh.f64 y) (*.f64 y y)))) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (*.f64 y y))) (cbrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)) (cbrt.f64 (/.f64 (sinh.f64 y) (*.f64 y y)))) |
(*.f64 (/.f64 1 y) (sqrt.f64 (sinh.f64 y))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(*.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (/.f64 1 (neg.f64 y))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (*.f64 y y))) (/.f64 1 (cbrt.f64 y))) |
(/.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (sqrt.f64 (/.f64 (sinh.f64 y) y))) |
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 1 (sqrt.f64 y))) |
(/.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 y)) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (*.f64 y y))) (/.f64 1 (cbrt.f64 y))) |
(/.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (sinh.f64 y) 1/4) (cbrt.f64 (*.f64 y y))) (/.f64 (pow.f64 (sinh.f64 y) 1/4) (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (*.f64 y y))) (/.f64 1 (cbrt.f64 y))) |
(/.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) y)) |
(*.f64 (cbrt.f64 (sinh.f64 y)) (*.f64 (/.f64 1 y) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))) |
(*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) y)) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) y) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 y))) |
(*.f64 (cbrt.f64 (sinh.f64 y)) (*.f64 (/.f64 1 y) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))) |
(*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) y)) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) y) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y))) |
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (*.f64 y y)))) |
(pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) 1) |
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)) 2) |
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)) 3) |
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) 3) 1/3) |
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(pow.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) -1) |
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(neg.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (neg.f64 y))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(sqrt.f64 (/.f64 (sinh.f64 y) (*.f64 y y))) |
(fabs.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)) |
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) 3)) |
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y)) 1)) |
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) y) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 y (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (pow.f64 (sinh.f64 y) -1/2) y)) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 y (pow.f64 (sinh.f64 y) -1/2))) |
(/.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (pow.f64 (sinh.f64 y) -1/2)) |
(/.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (pow.f64 (sinh.f64 y) -1/2)) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 y (pow.f64 (sinh.f64 y) -1/2))) |
(/.f64 1 (/.f64 y (sinh.f64 y))) |
(/.f64 (sinh.f64 y) y) |
(/.f64 1 (/.f64 1 (/.f64 (sinh.f64 y) y))) |
(/.f64 (sinh.f64 y) y) |
(/.f64 1 (*.f64 (pow.f64 (sinh.f64 y) -1/2) (/.f64 y (sqrt.f64 (sinh.f64 y))))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 y (pow.f64 (sinh.f64 y) -1/2))) |
(/.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (pow.f64 (sinh.f64 y) -1/2)) |
(/.f64 1 (*.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (pow.f64 (sinh.f64 y) -1/2))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 y (pow.f64 (sinh.f64 y) -1/2))) |
(/.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (pow.f64 (sinh.f64 y) -1/2)) |
(/.f64 (/.f64 (sinh.f64 y) y) 1) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 1 (sqrt.f64 (/.f64 (sinh.f64 y) y)))) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 y (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2)) (/.f64 1 (cbrt.f64 (/.f64 (sinh.f64 y) y)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2)) 1) (cbrt.f64 (/.f64 (sinh.f64 y) y))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) y))) |
(/.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (*.f64 (pow.f64 (sinh.f64 y) -1/2) (neg.f64 y))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 y (pow.f64 (sinh.f64 y) -1/2))) |
(/.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (pow.f64 (sinh.f64 y) -1/2)) |
(/.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (*.f64 -1 (/.f64 y (sqrt.f64 (sinh.f64 y))))) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (*.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) -1)) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (*.f64 (neg.f64 y) (pow.f64 (sinh.f64 y) -1/2))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 y (pow.f64 (sinh.f64 y) -1/2))) |
(/.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (pow.f64 (sinh.f64 y) -1/2)) |
(/.f64 (*.f64 2 (sinh.f64 y)) (*.f64 y 2)) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 (sinh.f64 y)))) (*.f64 -1 (neg.f64 y))) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 (sinh.f64 y)))) (*.f64 (neg.f64 y) -1)) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (neg.f64 (sqrt.f64 (sinh.f64 y)))) (neg.f64 y)) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (neg.f64 (sqrt.f64 (sinh.f64 y)))) (*.f64 y -1)) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (neg.f64 (sqrt.f64 (sinh.f64 y)))) -1) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) (neg.f64 y)) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) (*.f64 (neg.f64 y) 1)) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 (sinh.f64 y)) y)) -1) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) |
(/.f64 (sinh.f64 y) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y)))) |
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y))) |
(/.f64 (sinh.f64 y) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y))) |
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 y)) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (neg.f64 (/.f64 (sinh.f64 y) y)) -1) |
(/.f64 (sinh.f64 y) y) |
(pow.f64 (/.f64 (sinh.f64 y) y) 1) |
(/.f64 (sinh.f64 y) y) |
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2) |
(/.f64 (sinh.f64 y) y) |
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3) |
(/.f64 (sinh.f64 y) y) |
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3) |
(/.f64 (sinh.f64 y) y) |
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2)) |
(/.f64 (sinh.f64 y) y) |
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y))) |
(/.f64 (sinh.f64 y) y) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y)))) |
(/.f64 (sinh.f64 y) y) |
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)) |
(/.f64 (sinh.f64 y) y) |
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) |
(/.f64 (sinh.f64 y) y) |
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y))) |
(/.f64 (sinh.f64 y) y) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) 1)) |
(/.f64 (sinh.f64 y) y) |
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y))) |
(/.f64 (sinh.f64 y) y) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 1/6 (*.f64 y y)) |
Compiled 33 to 17 computations (48.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 1/6 (*.f64 y y)) |
| 0.0ms | y | @ | inf | (*.f64 1/6 (*.f64 y y)) |
| 0.0ms | y | @ | -inf | (*.f64 1/6 (*.f64 y y)) |
| 1× | batch-egg-rewrite |
| 1078× | add-sqr-sqrt |
| 1058× | *-un-lft-identity |
| 1006× | pow1 |
| 988× | add-cube-cbrt |
| 980× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 122 | 13 |
| 2 | 1409 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 (*.f64 y y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) 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 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3) 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 cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3))))) (#(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 |
| 1470× | distribute-rgt-in |
| 1446× | distribute-lft-in |
| 1164× | log-prod |
| 746× | associate-*r* |
| 702× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 299 |
| 1 | 92 | 299 |
| 2 | 347 | 299 |
| 3 | 1900 | 299 |
| 1× | node limit |
| Inputs |
|---|
(*.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 1 (*.f64 1/6 (*.f64 y y))) 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 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3) 1/3) |
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4))) |
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 y y))) |
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3)) |
(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 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) 1) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(pow.f64 (*.f64 1/6 (*.f64 y y)) 1) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 2) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 y y))) 3) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3) 1/3) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4))) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 y y))) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 y y)))) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 y y)))) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 y y)))) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
Compiled 3266 to 1471 computations (55% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 193 | 2 | 195 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 2 | 3 |
| Total | 194 | 5 | 199 |
| Status | Error | Program |
|---|---|---|
| ▶ | 30.1b | (*.f64 (cos.f64 x) (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))) |
| ✓ | 0.0b | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| ▶ | 0.6b | (*.f64 (cos.f64 x) (+.f64 1 (*.f64 y (*.f64 1/6 y)))) |
| ✓ | 0.6b | (*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
| ✓ | 0.7b | (*.f64 (cos.f64 x) 1) |
Compiled 54 to 39 computations (27.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 y (*.f64 1/6 y)) |
| ✓ | 0.3b | (*.f64 1/6 y) |
Compiled 33 to 21 computations (36.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (*.f64 1/6 y) |
| 0.0ms | y | @ | 0 | (*.f64 1/6 y) |
| 0.0ms | y | @ | inf | (*.f64 1/6 y) |
| 0.0ms | y | @ | inf | (*.f64 y (*.f64 1/6 y)) |
| 0.0ms | y | @ | 0 | (*.f64 y (*.f64 1/6 y)) |
| 1× | batch-egg-rewrite |
| 1104× | add-sqr-sqrt |
| 1086× | *-un-lft-identity |
| 1030× | pow1 |
| 1012× | add-cube-cbrt |
| 998× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 20 |
| 1 | 120 | 20 |
| 2 | 1372 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 y) |
(*.f64 y (*.f64 1/6 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) 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 (sqrt.f64 (*.f64 1/6 (*.f64 y y))) 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 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) y) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3))))) (#(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 |
| 1460× | log-prod |
| 1412× | associate-*r* |
| 1266× | associate-*l* |
| 1058× | associate-+l+ |
| 976× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 508 |
| 1 | 138 | 442 |
| 2 | 536 | 376 |
| 3 | 4034 | 376 |
| 1× | node limit |
| Inputs |
|---|
(*.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 1 (*.f64 1/6 y)) 1) |
(pow.f64 (*.f64 1/6 y) 1) |
(pow.f64 (sqrt.f64 (*.f64 1/6 y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/6 y)) 3) |
(pow.f64 (pow.f64 (*.f64 1/6 y) 3) 1/3) |
(sqrt.f64 (*.f64 1/36 (*.f64 y y))) |
(log.f64 (pow.f64 (exp.f64 1/6) y)) |
(cbrt.f64 (pow.f64 (*.f64 1/6 y) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/6 y))) |
(exp.f64 (log.f64 (*.f64 1/6 y))) |
(log1p.f64 (expm1.f64 (*.f64 1/6 y))) |
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) 1) |
(pow.f64 (*.f64 1/6 (*.f64 y y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 1/6 (*.f64 y y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 y y))) 3) |
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 2)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) y) y)) |
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3)) |
(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 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 (+.f64 1 (*.f64 1/6 y)) 1) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(pow.f64 (*.f64 1/6 y) 1) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(pow.f64 (sqrt.f64 (*.f64 1/6 y)) 2) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(pow.f64 (cbrt.f64 (*.f64 1/6 y)) 3) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(pow.f64 (pow.f64 (*.f64 1/6 y) 3) 1/3) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(sqrt.f64 (*.f64 1/36 (*.f64 y y))) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(log.f64 (pow.f64 (exp.f64 1/6) y)) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(cbrt.f64 (pow.f64 (*.f64 1/6 y) 3)) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(expm1.f64 (log1p.f64 (*.f64 1/6 y))) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(exp.f64 (log.f64 (*.f64 1/6 y))) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(log1p.f64 (expm1.f64 (*.f64 1/6 y))) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) 1) |
(*.f64 1/6 (*.f64 y y)) |
(pow.f64 (*.f64 1/6 (*.f64 y y)) 1) |
(*.f64 1/6 (*.f64 y y)) |
(pow.f64 (sqrt.f64 (*.f64 1/6 (*.f64 y y))) 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 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3) 1/3) |
(*.f64 1/6 (*.f64 y y)) |
(sqrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 2)) |
(*.f64 1/6 (*.f64 y y)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) y) y)) |
(*.f64 1/6 (*.f64 y y)) |
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3)) |
(*.f64 1/6 (*.f64 y y)) |
(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 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) |
| ✓ | 0.3b | (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) |
| ✓ | 0.6b | (cbrt.f64 y) |
| ✓ | 28.5b | (cbrt.f64 (*.f64 y y)) |
Compiled 47 to 10 computations (78.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) |
| 1.0ms | y | @ | inf | (cbrt.f64 (*.f64 y y)) |
| 1.0ms | y | @ | inf | (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) |
| 0.0ms | y | @ | -inf | (cbrt.f64 y) |
| 0.0ms | y | @ | -inf | (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) |
| 1× | batch-egg-rewrite |
| 1662× | associate-/l* |
| 1548× | associate-*l/ |
| 1018× | *-commutative |
| 464× | associate-/l/ |
| 424× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 68 |
| 1 | 208 | 48 |
| 2 | 2899 | 48 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 y y)) |
(cbrt.f64 y) |
(/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) |
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2) 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1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y))))))) |
| 1× | egg-herbie |
| 1436× | distribute-rgt-in |
| 1398× | distribute-lft-in |
| 1370× | times-frac |
| 842× | associate-/r* |
| 600× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 383 | 4611 |
| 1 | 946 | 4385 |
| 2 | 5478 | 4385 |
| 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 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 y (cbrt.f64 -1)))) |
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 y (cbrt.f64 -1)))) |
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 y (cbrt.f64 -1)))) |
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 y (cbrt.f64 -1)))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 1) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) 1) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 1 1/3)) |
(*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
(*.f64 1 (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (pow.f64 y 1/6) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (pow.f64 y 1/6)) |
(*.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) |
(*.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))) |
(*.f64 (cbrt.f64 (cbrt.f64 y)) (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (*.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 y)))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (pow.f64 (*.f64 y (cbrt.f64 y)) 1/3)) |
(*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) |
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2))))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2))))) |
(*.f64 (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (cbrt.f64 y))) |
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) |
(*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (neg.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) |
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (pow.f64 (*.f64 y (cbrt.f64 y)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)))) (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2))))) (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) |
(pow.f64 y 2/3) |
(pow.f64 (*.f64 y y) 1/3) |
(pow.f64 (pow.f64 (cbrt.f64 y) 2) 1) |
(pow.f64 (cbrt.f64 y) 2) |
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) 3) |
(neg.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2))) |
(sqrt.f64 (*.f64 y (cbrt.f64 y))) |
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) |
(exp.f64 (*.f64 (log.f64 y) 2/3)) |
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 y) 2))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1) |
(*.f64 (cbrt.f64 y) 1) |
(*.f64 (cbrt.f64 y) (pow.f64 1 1/3)) |
(*.f64 1 (cbrt.f64 y)) |
(*.f64 (pow.f64 y 1/6) (pow.f64 y 1/6)) |
(*.f64 (pow.f64 y 1/6) (neg.f64 (neg.f64 (pow.f64 y 1/6)))) |
(*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (cbrt.f64 y))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (neg.f64 (neg.f64 (cbrt.f64 (cbrt.f64 y))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 y))) (neg.f64 (sqrt.f64 (cbrt.f64 (neg.f64 y))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))))) |
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (neg.f64 y))) (cbrt.f64 (cbrt.f64 (neg.f64 y)))) (neg.f64 (cbrt.f64 (cbrt.f64 (neg.f64 y))))) |
(*.f64 -1 (cbrt.f64 (neg.f64 y))) |
(*.f64 (neg.f64 (pow.f64 y 1/6)) (neg.f64 (pow.f64 y 1/6))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (neg.f64 (cbrt.f64 (cbrt.f64 y)))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 y)) |
(*.f64 (pow.f64 (sqrt.f64 y) 1/3) (pow.f64 (sqrt.f64 y) 1/3)) |
(*.f64 (neg.f64 (sqrt.f64 (cbrt.f64 (neg.f64 y)))) (sqrt.f64 (cbrt.f64 (neg.f64 y)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 (neg.f64 y))) (cbrt.f64 (cbrt.f64 (neg.f64 y))))) (cbrt.f64 (cbrt.f64 (neg.f64 y)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 y 1/6))) (pow.f64 y 1/6)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (cbrt.f64 (cbrt.f64 y))) |
(pow.f64 y 1/3) |
(pow.f64 (*.f64 y y) 1/6) |
(pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2) |
(pow.f64 (cbrt.f64 y) 1) |
(pow.f64 (pow.f64 y 1/6) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 y)) 3) |
(neg.f64 (cbrt.f64 (neg.f64 y))) |
(sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) |
(fabs.f64 (cbrt.f64 y)) |
(log.f64 (exp.f64 (cbrt.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 y)))) |
(expm1.f64 (log1p.f64 (cbrt.f64 y))) |
(exp.f64 (log.f64 (cbrt.f64 y))) |
(log1p.f64 (expm1.f64 (cbrt.f64 y))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) 1) |
(*.f64 (sinh.f64 y) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (sinh.f64 y) (neg.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2))))) |
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) 1) |
(*.f64 1 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y))))) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2) (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))))) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (sinh.f64 y)) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (sinh.f64 y) (cbrt.f64 y))) |
(*.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) 2)))) (neg.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) 2)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) 2)))) (cbrt.f64 (/.f64 (sinh.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) 2))))) (neg.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) 2)))))) |
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) |
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (/.f64 1 (cbrt.f64 (*.f64 y (cbrt.f64 y))))) |
(*.f64 -1 (/.f64 (sinh.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y))) (neg.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2)) (neg.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))))) |
(*.f64 (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) 1)) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (*.f64 y (cbrt.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 y)) (cbrt.f64 (/.f64 (sinh.f64 y) y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) 2))))) (sqrt.f64 (/.f64 (sinh.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) 2))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) 2)))) (cbrt.f64 (/.f64 (sinh.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) 2)))))) (cbrt.f64 (/.f64 (sinh.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) 2))))) |
(*.f64 (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2))) (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) |
(pow.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 3) |
(pow.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (*.f64 y y)) 1/3) |
(pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y)) -1) |
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(sqrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) (*.f64 y (cbrt.f64 y)))) |
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))))) |
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (*.f64 y y))) |
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) |
(exp.f64 (-.f64 (log.f64 (sinh.f64 y)) (*.f64 (log.f64 y) 2/3))) |
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1) |
(*.f64 (sinh.f64 y) (/.f64 1 y)) |
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 y))) |
(*.f64 (/.f64 (sinh.f64 y) y) 1) |
(*.f64 1 (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2) (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) (/.f64 1 (cbrt.f64 y)))) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (/.f64 1 (cbrt.f64 (neg.f64 y)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 y))) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) (/.f64 1 (cbrt.f64 y))) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2)) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 1 (pow.f64 y 1/6)) (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (/.f64 (sinh.f64 y) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (cbrt.f64 y))))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (sqrt.f64 y)) (/.f64 1 (pow.f64 y 1/6))) |
(*.f64 (/.f64 (sinh.f64 y) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (cbrt.f64 y)))) (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) |
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (cbrt.f64 y))))) |
(*.f64 (/.f64 1 (cbrt.f64 (neg.f64 y))) (/.f64 (sinh.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 y))) |
(*.f64 (/.f64 1 y) (sinh.f64 y)) |
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 y 1/6)) (/.f64 (/.f64 1 (cbrt.f64 y)) (sqrt.f64 y))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (pow.f64 y 1/6))) |
(*.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (cbrt.f64 y)))) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 y)))) (/.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2) (pow.f64 y 1/6)) (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) (pow.f64 y 1/6))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) (pow.f64 y 1/6)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2) (pow.f64 y 1/6))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2) (cbrt.f64 y)) (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2))) (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) y) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) 1) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(pow.f64 (/.f64 (sinh.f64 y) y) 1) |
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3) |
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3) |
(pow.f64 (/.f64 y (sinh.f64 y)) -1) |
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y))) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (/.f64 1 (cbrt.f64 y)))) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) 1)) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 (neg.f64 y))))) |
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2)) |
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y)))) |
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) |
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y))) |
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y))) |
| 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)))) |
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))) |
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))) |
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 y 1/6))))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) y))) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2) (cbrt.f64 y)) (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) |
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (sqrt.f64 (sinh.f64 y))) |
(/.f64 (sinh.f64 y) y) |
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2))) (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) |
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) y) (cbrt.f64 (sinh.f64 y))) |
(/.f64 (sinh.f64 y) y) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) 1) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) |
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (/.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (*.f64 y (cbrt.f64 y))))) |
(/.f64 (/.f64 (sinh.f64 y) (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (neg.f64 (sinh.f64 y))) |
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) |
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(pow.f64 (/.f64 (sinh.f64 y) y) 1) |
(/.f64 (sinh.f64 y) y) |
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2) |
(/.f64 (sinh.f64 y) y) |
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3) |
(/.f64 (sinh.f64 y) y) |
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3) |
(/.f64 (sinh.f64 y) y) |
(pow.f64 (/.f64 y (sinh.f64 y)) -1) |
(/.f64 (sinh.f64 y) y) |
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y))) |
(/.f64 (sinh.f64 y) y) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (/.f64 1 (cbrt.f64 y)))) |
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) 1)) |
(/.f64 (sinh.f64 y) y) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (/.f64 1 (cbrt.f64 (neg.f64 y)))) |
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (neg.f64 y))) |
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2)) |
(fabs.f64 (/.f64 (sinh.f64 y) y)) |
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y))) |
(/.f64 (sinh.f64 y) y) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y)))) |
(/.f64 (sinh.f64 y) y) |
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)) |
(/.f64 (sinh.f64 y) y) |
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) |
(/.f64 (sinh.f64 y) y) |
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y))) |
(/.f64 (sinh.f64 y) y) |
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y))) |
(/.f64 (sinh.f64 y) y) |
Compiled 4354 to 1854 computations (57.4% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 249 | 2 | 251 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 4 | 4 |
| Total | 250 | 6 | 256 |
| Status | Error | Program |
|---|---|---|
| ▶ | 38.3b | (*.f64 (cos.f64 x) (/.f64 (/.f64 (sinh.f64 y) (pow.f64 y 2/3)) (cbrt.f64 y))) |
| ✓ | 0.0b | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| ▶ | 0.6b | (*.f64 (cos.f64 x) (+.f64 1 (*.f64 y (-.f64 (+.f64 1 (*.f64 1/6 y)) 1)))) |
| ✓ | 0.6b | (*.f64 (cos.f64 x) (+.f64 1 (*.f64 y (*.f64 1/6 y)))) |
| ✓ | 0.6b | (*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
| ✓ | 0.7b | (*.f64 (cos.f64 x) 1) |
Compiled 69 to 52 computations (24.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (*.f64 1/6 y)) |
| ✓ | 0.0b | (*.f64 y (-.f64 (+.f64 1 (*.f64 1/6 y)) 1)) |
| 0.3b | (*.f64 1/6 y) | |
| ✓ | 5.1b | (-.f64 (+.f64 1 (*.f64 1/6 y)) 1) |
Compiled 57 to 43 computations (24.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (-.f64 (+.f64 1 (*.f64 1/6 y)) 1) |
| 0.0ms | y | @ | 0 | (+.f64 1 (*.f64 1/6 y)) |
| 0.0ms | y | @ | 0 | (-.f64 (+.f64 1 (*.f64 1/6 y)) 1) |
| 0.0ms | y | @ | inf | (*.f64 y (-.f64 (+.f64 1 (*.f64 1/6 y)) 1)) |
| 0.0ms | y | @ | inf | (+.f64 1 (*.f64 1/6 y)) |
| 1× | batch-egg-rewrite |
| 1898× | add-sqr-sqrt |
| 1872× | *-un-lft-identity |
| 1764× | add-cube-cbrt |
| 1748× | add-cbrt-cube |
| 190× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 57 |
| 1 | 196 | 29 |
| 2 | 2640 | 29 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 1/6 y)) 1) |
(*.f64 y (-.f64 (+.f64 1 (*.f64 1/6 y)) 1)) |
(+.f64 1 (*.f64 1/6 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 1/6 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 1/6 y -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/6 y 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/6 y -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 1/6 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/6 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/6 y)) (sqrt.f64 (*.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 y)) (pow.f64 (cbrt.f64 (*.f64 1/6 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 y)) 2) (cbrt.f64 (*.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) -1) (/.f64 1 (+.f64 (*.f64 1/6 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (+.f64 (*.f64 1/6 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 1/6 y 1)) 1) (-.f64 (sqrt.f64 (fma.f64 1/6 y 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/6 y) 2) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (+.f64 (*.f64 1/6 y) 2)) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) -1) (+.f64 (*.f64 1/6 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) -1) (-.f64 (fma.f64 1/6 y 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (+.f64 (*.f64 1/6 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (-.f64 1 (*.f64 (fma.f64 1/6 y 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 1/6 y -1) (fma.f64 1/6 y -1))) (-.f64 1 (fma.f64 1/6 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 1/6 y -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 1/6 y -1) (fma.f64 1/6 y -1)) (fma.f64 1/6 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) -1)) (neg.f64 (+.f64 (*.f64 1/6 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (+.f64 (*.f64 1/6 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/6 y 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/6 y 1)) (sqrt.f64 (fma.f64 1/6 y 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 y 1)) 2) (cbrt.f64 (fma.f64 1/6 y 1)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (fma.f64 1/6 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (fma.f64 1/6 y -1) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (fma.f64 1/6 y 1)) (*.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 1/6 y 1) y) (*.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 1/6 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) -1)) (+.f64 (*.f64 1/6 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (pow.f64 (fma.f64 1/6 y 1) 3) -1)) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (+.f64 (*.f64 1/6 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) -1) y) (+.f64 (*.f64 1/6 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 3) -1) y) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (+.f64 (*.f64 1/6 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 1/6 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (*.f64 1/6 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 1/6 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (*.f64 1/6 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 1/6 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 1/6 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/6 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 -1/6 y))) (/.f64 (*.f64 (*.f64 y y) 1/36) (+.f64 1 (*.f64 -1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/6 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/6 y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/6 y 1)) (sqrt.f64 (fma.f64 1/6 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/6 y 1)) (*.f64 (sqrt.f64 (fma.f64 1/6 y 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/6 y 1)) (pow.f64 (cbrt.f64 (fma.f64 1/6 y 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 y 1)) 2) (cbrt.f64 (fma.f64 1/6 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 y 1)) 2) (*.f64 (cbrt.f64 (fma.f64 1/6 y 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (*.f64 y y) 1/36)) (/.f64 1 (+.f64 1 (*.f64 -1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (pow.f64 y 3) 1/216)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 -1/6 y)) (-.f64 1 (*.f64 (*.f64 y y) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y -1))) (+.f64 1 (*.f64 (pow.f64 y 3) 1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 y y) 1/36)) (+.f64 1 (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 y 3) 1/216)) (+.f64 1 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 y 3) 1/216)) (+.f64 (*.f64 (*.f64 y y) 1/36) (+.f64 1 (*.f64 -1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 y y) 1/36)) 1) (+.f64 1 (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 y 3) 1/216)) 1) (+.f64 1 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y y) 1/36) 1) (fma.f64 1/6 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 (*.f64 y y) 1/36))) (neg.f64 (+.f64 1 (*.f64 -1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 y 3) 1/216))) (neg.f64 (+.f64 1 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/6 y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/6 y 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/6 y 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/6 y 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/6 y 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/6 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/6 y 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/6 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 1/6 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/6 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/6 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1/6 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/6 y)) (sqrt.f64 (*.f64 1/6 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 y)) 2) (cbrt.f64 (*.f64 1/6 y)) 1))))) |
| 1× | egg-herbie |
| 1166× | distribute-lft-in |
| 1056× | distribute-rgt-in |
| 980× | unswap-sqr |
| 558× | *-commutative |
| 510× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 223 | 2391 |
| 1 | 492 | 2207 |
| 2 | 1974 | 2203 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.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)) |
1 |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(+.f64 1 (fma.f64 1/6 y -1)) |
(+.f64 1 (*.f64 (fma.f64 1/6 y -1) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(+.f64 (fma.f64 1/6 y 1) -1) |
(+.f64 (fma.f64 1/6 y -1) 1) |
(+.f64 -1 (fma.f64 1/6 y 1)) |
(*.f64 1 (*.f64 1/6 y)) |
(*.f64 1/6 y) |
(*.f64 y 1/6) |
(*.f64 (*.f64 1/6 y) 1) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 1/6)) |
(*.f64 (sqrt.f64 (*.f64 1/6 y)) (sqrt.f64 (*.f64 1/6 y))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 1/6)) |
(*.f64 (cbrt.f64 (*.f64 1/6 y)) (pow.f64 (cbrt.f64 (*.f64 1/6 y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 y)) 2) (cbrt.f64 (*.f64 1/6 y))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) -1) (/.f64 1 (+.f64 (*.f64 1/6 y) 2))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (+.f64 (*.f64 1/6 y) 2)))) |
(*.f64 (*.f64 1/6 (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/6 y 1)) 1) (-.f64 (sqrt.f64 (fma.f64 1/6 y 1)) 1)) |
(/.f64 1 (/.f64 (+.f64 (*.f64 1/6 y) 2) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) -1))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (+.f64 (*.f64 1/6 y) 2)) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 3) -1))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) -1) (+.f64 (*.f64 1/6 y) 2)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) -1) (-.f64 (fma.f64 1/6 y 1) -1)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (+.f64 (*.f64 1/6 y) 2))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (-.f64 1 (*.f64 (fma.f64 1/6 y 1) -1)))) |
(/.f64 (-.f64 1 (*.f64 (fma.f64 1/6 y -1) (fma.f64 1/6 y -1))) (-.f64 1 (fma.f64 1/6 y -1))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/6 y -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 1/6 y -1) (fma.f64 1/6 y -1)) (fma.f64 1/6 y -1)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) -1)) (neg.f64 (+.f64 (*.f64 1/6 y) 2))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (+.f64 (*.f64 1/6 y) 2)))) |
(pow.f64 (*.f64 1/6 y) 1) |
(pow.f64 (sqrt.f64 (*.f64 1/6 y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/6 y)) 3) |
(pow.f64 (*.f64 (pow.f64 y 3) 1/216) 1/3) |
(sqrt.f64 (*.f64 (*.f64 y y) 1/36)) |
(log.f64 (pow.f64 (exp.f64 1/6) y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 y)))) |
(cbrt.f64 (*.f64 (pow.f64 y 3) 1/216)) |
(expm1.f64 (log1p.f64 (*.f64 1/6 y))) |
(exp.f64 (log.f64 (*.f64 1/6 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 y)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 1/6 y))) |
(fma.f64 1 (fma.f64 1/6 y 1) -1) |
(fma.f64 (sqrt.f64 (fma.f64 1/6 y 1)) (sqrt.f64 (fma.f64 1/6 y 1)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 y 1)) 2) (cbrt.f64 (fma.f64 1/6 y 1)) -1) |
(+.f64 y (*.f64 y (fma.f64 1/6 y -1))) |
(+.f64 y (*.f64 (fma.f64 1/6 y -1) y)) |
(+.f64 (*.f64 y (fma.f64 1/6 y 1)) (*.f64 y -1)) |
(+.f64 (*.f64 (fma.f64 1/6 y 1) y) (*.f64 -1 y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 1/6 y)))) 1) |
(/.f64 (*.f64 y (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) -1)) (+.f64 (*.f64 1/6 y) 2)) |
(/.f64 (*.f64 y (+.f64 (pow.f64 (fma.f64 1/6 y 1) 3) -1)) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (+.f64 (*.f64 1/6 y) 2))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) -1) y) (+.f64 (*.f64 1/6 y) 2)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 3) -1) y) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (+.f64 (*.f64 1/6 y) 2))) |
(pow.f64 (*.f64 y (*.f64 1/6 y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 1/6 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 1/6 y))) 3) |
(pow.f64 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 1/6 y)) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (*.f64 1/6 y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 1/6 y))))) |
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 1/6 y)))) |
(exp.f64 (log.f64 (*.f64 y (*.f64 1/6 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 1/6 y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 1/6 y)))) |
(-.f64 (+.f64 (*.f64 1/6 y) 2) 1) |
(-.f64 (/.f64 1 (+.f64 1 (*.f64 -1/6 y))) (/.f64 (*.f64 (*.f64 y y) 1/36) (+.f64 1 (*.f64 -1/6 y)))) |
(*.f64 1 (fma.f64 1/6 y 1)) |
(*.f64 (fma.f64 1/6 y 1) 1) |
(*.f64 (sqrt.f64 (fma.f64 1/6 y 1)) (sqrt.f64 (fma.f64 1/6 y 1))) |
(*.f64 (sqrt.f64 (fma.f64 1/6 y 1)) (*.f64 (sqrt.f64 (fma.f64 1/6 y 1)) 1)) |
(*.f64 (cbrt.f64 (fma.f64 1/6 y 1)) (pow.f64 (cbrt.f64 (fma.f64 1/6 y 1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 y 1)) 2) (cbrt.f64 (fma.f64 1/6 y 1))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 y 1)) 2) (*.f64 (cbrt.f64 (fma.f64 1/6 y 1)) 1)) |
(*.f64 (-.f64 1 (*.f64 (*.f64 y y) 1/36)) (/.f64 1 (+.f64 1 (*.f64 -1/6 y)))) |
(*.f64 (+.f64 1 (*.f64 (pow.f64 y 3) 1/216)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y -1))))) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 -1/6 y)) (-.f64 1 (*.f64 (*.f64 y y) 1/36)))) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y -1))) (+.f64 1 (*.f64 (pow.f64 y 3) 1/216)))) |
(/.f64 (-.f64 1 (*.f64 (*.f64 y y) 1/36)) (+.f64 1 (*.f64 -1/6 y))) |
(/.f64 (+.f64 1 (*.f64 (pow.f64 y 3) 1/216)) (+.f64 1 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y -1)))) |
(/.f64 (+.f64 1 (*.f64 (pow.f64 y 3) 1/216)) (+.f64 (*.f64 (*.f64 y y) 1/36) (+.f64 1 (*.f64 -1/6 y)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 y y) 1/36)) 1) (+.f64 1 (*.f64 -1/6 y))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 y 3) 1/216)) 1) (+.f64 1 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y -1)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/36) 1) (fma.f64 1/6 y -1)) |
(/.f64 (neg.f64 (-.f64 1 (*.f64 (*.f64 y y) 1/36))) (neg.f64 (+.f64 1 (*.f64 -1/6 y)))) |
(/.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 y 3) 1/216))) (neg.f64 (+.f64 1 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y -1))))) |
(pow.f64 (fma.f64 1/6 y 1) 1) |
(pow.f64 (sqrt.f64 (fma.f64 1/6 y 1)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 1/6 y 1)) 3) |
(pow.f64 (pow.f64 (fma.f64 1/6 y 1) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 1/6 y 1) 2)) |
(log.f64 (exp.f64 (fma.f64 1/6 y 1))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 y 1)))) |
(cbrt.f64 (pow.f64 (fma.f64 1/6 y 1) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 1/6 y 1))) |
(exp.f64 (log1p.f64 (*.f64 1/6 y))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 1/6 y)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 1/6 y 1))) |
(fma.f64 1 (*.f64 1/6 y) 1) |
(fma.f64 1/6 y 1) |
(fma.f64 y 1/6 1) |
(fma.f64 (sqrt.f64 (*.f64 1/6 y)) (sqrt.f64 (*.f64 1/6 y)) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 y)) 2) (cbrt.f64 (*.f64 1/6 y)) 1) |
| Outputs |
|---|
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
1 |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(+.f64 1 (fma.f64 1/6 y -1)) |
(*.f64 1/6 y) |
(+.f64 1 (*.f64 (fma.f64 1/6 y -1) 1)) |
(*.f64 1/6 y) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(+.f64 (fma.f64 1/6 y 1) -1) |
(*.f64 1/6 y) |
(+.f64 (fma.f64 1/6 y -1) 1) |
(*.f64 1/6 y) |
(+.f64 -1 (fma.f64 1/6 y 1)) |
(*.f64 1/6 y) |
(*.f64 1 (*.f64 1/6 y)) |
(*.f64 1/6 y) |
(*.f64 1/6 y) |
(*.f64 y 1/6) |
(*.f64 1/6 y) |
(*.f64 (*.f64 1/6 y) 1) |
(*.f64 1/6 y) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 1/6)) |
(*.f64 1/6 y) |
(*.f64 (sqrt.f64 (*.f64 1/6 y)) (sqrt.f64 (*.f64 1/6 y))) |
(*.f64 1/6 y) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 1/6)) |
(*.f64 1/6 y) |
(*.f64 (cbrt.f64 (*.f64 1/6 y)) (pow.f64 (cbrt.f64 (*.f64 1/6 y)) 2)) |
(*.f64 1/6 y) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 y)) 2) (cbrt.f64 (*.f64 1/6 y))) |
(*.f64 1/6 y) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) -1) (/.f64 1 (+.f64 (*.f64 1/6 y) 2))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 2)) 1) (fma.f64 1/6 y 2)) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 2)) (fma.f64 1/6 y 2)) |
(/.f64 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y 2)) (fma.f64 1/6 y 2)) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (+.f64 (*.f64 1/6 y) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (fma.f64 1/6 y 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 3)) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (fma.f64 1/6 y 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/6 y 1) (fma.f64 1/6 y 2)))) |
(*.f64 (*.f64 1/6 (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 1/6 y) |
(*.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(*.f64 1/6 y) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/6 y 1)) 1) (-.f64 (sqrt.f64 (fma.f64 1/6 y 1)) 1)) |
(*.f64 1/6 y) |
(/.f64 1 (/.f64 (+.f64 (*.f64 1/6 y) 2) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) -1))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 2)) 1) (fma.f64 1/6 y 2)) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 2)) (fma.f64 1/6 y 2)) |
(/.f64 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y 2)) (fma.f64 1/6 y 2)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (+.f64 (*.f64 1/6 y) 2)) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 3) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (fma.f64 1/6 y 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 3)) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (fma.f64 1/6 y 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/6 y 1) (fma.f64 1/6 y 2)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) -1) (+.f64 (*.f64 1/6 y) 2)) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 2)) 1) (fma.f64 1/6 y 2)) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 2)) (fma.f64 1/6 y 2)) |
(/.f64 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y 2)) (fma.f64 1/6 y 2)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) -1) (-.f64 (fma.f64 1/6 y 1) -1)) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 2)) 1) (fma.f64 1/6 y 2)) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 2)) (fma.f64 1/6 y 2)) |
(/.f64 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y 2)) (fma.f64 1/6 y 2)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (+.f64 (*.f64 1/6 y) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (fma.f64 1/6 y 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 3)) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (fma.f64 1/6 y 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/6 y 1) (fma.f64 1/6 y 2)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (-.f64 1 (*.f64 (fma.f64 1/6 y 1) -1)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (fma.f64 1/6 y 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 3)) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (fma.f64 1/6 y 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/6 y 1) (fma.f64 1/6 y 2)))) |
(/.f64 (-.f64 1 (*.f64 (fma.f64 1/6 y -1) (fma.f64 1/6 y -1))) (-.f64 1 (fma.f64 1/6 y -1))) |
(/.f64 (+.f64 1 (*.f64 (fma.f64 1/6 y -1) (fma.f64 y -1/6 1))) (+.f64 1 (fma.f64 y -1/6 1))) |
(/.f64 (+.f64 1 (*.f64 (fma.f64 1/6 y -1) (fma.f64 y -1/6 1))) (+.f64 2 (*.f64 y -1/6))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/6 y -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 1/6 y -1) (fma.f64 1/6 y -1)) (fma.f64 1/6 y -1)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/6 y -1) 3)) (+.f64 1 (fma.f64 (fma.f64 1/6 y -1) (fma.f64 1/6 y -1) (neg.f64 (fma.f64 1/6 y -1))))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/6 y -1) 3)) (+.f64 1 (*.f64 (fma.f64 1/6 y -1) (-.f64 (fma.f64 1/6 y -1) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/6 y -1) 3)) (+.f64 1 (*.f64 (fma.f64 1/6 y -1) (+.f64 (*.f64 1/6 y) -2)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) -1)) (neg.f64 (+.f64 (*.f64 1/6 y) 2))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 2)) 1) (fma.f64 1/6 y 2)) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 2)) (fma.f64 1/6 y 2)) |
(/.f64 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y 2)) (fma.f64 1/6 y 2)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (+.f64 (*.f64 1/6 y) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (fma.f64 1/6 y 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 3)) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (fma.f64 1/6 y 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/6 y 1) (fma.f64 1/6 y 2)))) |
(pow.f64 (*.f64 1/6 y) 1) |
(*.f64 1/6 y) |
(pow.f64 (sqrt.f64 (*.f64 1/6 y)) 2) |
(*.f64 1/6 y) |
(pow.f64 (cbrt.f64 (*.f64 1/6 y)) 3) |
(*.f64 1/6 y) |
(pow.f64 (*.f64 (pow.f64 y 3) 1/216) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 y 3) 1/216)) |
(sqrt.f64 (*.f64 (*.f64 y y) 1/36)) |
(sqrt.f64 (*.f64 y (*.f64 y 1/36))) |
(log.f64 (pow.f64 (exp.f64 1/6) y)) |
(*.f64 1/6 y) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 y)))) |
(*.f64 1/6 y) |
(cbrt.f64 (*.f64 (pow.f64 y 3) 1/216)) |
(expm1.f64 (log1p.f64 (*.f64 1/6 y))) |
(*.f64 1/6 y) |
(exp.f64 (log.f64 (*.f64 1/6 y))) |
(*.f64 1/6 y) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 y)) 1)) |
(*.f64 1/6 y) |
(log1p.f64 (expm1.f64 (*.f64 1/6 y))) |
(*.f64 1/6 y) |
(fma.f64 1 (fma.f64 1/6 y 1) -1) |
(*.f64 1/6 y) |
(fma.f64 (sqrt.f64 (fma.f64 1/6 y 1)) (sqrt.f64 (fma.f64 1/6 y 1)) -1) |
(*.f64 1/6 y) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 y 1)) 2) (cbrt.f64 (fma.f64 1/6 y 1)) -1) |
(*.f64 1/6 y) |
(+.f64 y (*.f64 y (fma.f64 1/6 y -1))) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(+.f64 y (*.f64 (fma.f64 1/6 y -1) y)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(+.f64 (*.f64 y (fma.f64 1/6 y 1)) (*.f64 y -1)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(+.f64 (*.f64 (fma.f64 1/6 y 1) y) (*.f64 -1 y)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 1/6 y)))) 1) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(/.f64 (*.f64 y (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) -1)) (+.f64 (*.f64 1/6 y) 2)) |
(/.f64 (*.f64 y (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 2))) (fma.f64 1/6 y 2)) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 2)) (fma.f64 1/6 y 2)) y) |
(*.f64 y (/.f64 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y 2)) (fma.f64 1/6 y 2))) |
(/.f64 (*.f64 y (+.f64 (pow.f64 (fma.f64 1/6 y 1) 3) -1)) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (+.f64 (*.f64 1/6 y) 2))) |
(/.f64 (*.f64 y (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 3))) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (fma.f64 1/6 y 2))) |
(/.f64 (-.f64 (*.f64 y (pow.f64 (fma.f64 1/6 y 1) 3)) y) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (fma.f64 1/6 y 2))) |
(/.f64 (fma.f64 y (pow.f64 (fma.f64 1/6 y 1) 3) (neg.f64 y)) (+.f64 1 (*.f64 (fma.f64 1/6 y 1) (fma.f64 1/6 y 2)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) -1) y) (+.f64 (*.f64 1/6 y) 2)) |
(/.f64 (*.f64 y (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 2))) (fma.f64 1/6 y 2)) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 2)) (fma.f64 1/6 y 2)) y) |
(*.f64 y (/.f64 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y 2)) (fma.f64 1/6 y 2))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/6 y 1) 3) -1) y) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (+.f64 (*.f64 1/6 y) 2))) |
(/.f64 (*.f64 y (+.f64 -1 (pow.f64 (fma.f64 1/6 y 1) 3))) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (fma.f64 1/6 y 2))) |
(/.f64 (-.f64 (*.f64 y (pow.f64 (fma.f64 1/6 y 1) 3)) y) (+.f64 (pow.f64 (fma.f64 1/6 y 1) 2) (fma.f64 1/6 y 2))) |
(/.f64 (fma.f64 y (pow.f64 (fma.f64 1/6 y 1) 3) (neg.f64 y)) (+.f64 1 (*.f64 (fma.f64 1/6 y 1) (fma.f64 1/6 y 2)))) |
(pow.f64 (*.f64 y (*.f64 1/6 y)) 1) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 1/6 y))) 2) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 1/6 y))) 3) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(pow.f64 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3) 1/3) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 1/6 y)) 2)) |
(fabs.f64 (*.f64 1/6 (*.f64 y y))) |
(fabs.f64 (*.f64 y (*.f64 1/6 y))) |
(log.f64 (pow.f64 (exp.f64 y) (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 1/6 y))))) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 1/6 y)))) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(exp.f64 (log.f64 (*.f64 y (*.f64 1/6 y)))) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 1/6 y))) 1)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 1/6 y)))) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(-.f64 (+.f64 (*.f64 1/6 y) 2) 1) |
(fma.f64 1/6 y 1) |
(-.f64 (/.f64 1 (+.f64 1 (*.f64 -1/6 y))) (/.f64 (*.f64 (*.f64 y y) 1/36) (+.f64 1 (*.f64 -1/6 y)))) |
(/.f64 (-.f64 1 (*.f64 y (*.f64 y 1/36))) (+.f64 1 (*.f64 y -1/6))) |
(/.f64 (fma.f64 y (*.f64 y 1/36) -1) (fma.f64 1/6 y -1)) |
(*.f64 1 (fma.f64 1/6 y 1)) |
(fma.f64 1/6 y 1) |
(*.f64 (fma.f64 1/6 y 1) 1) |
(fma.f64 1/6 y 1) |
(*.f64 (sqrt.f64 (fma.f64 1/6 y 1)) (sqrt.f64 (fma.f64 1/6 y 1))) |
(fma.f64 1/6 y 1) |
(*.f64 (sqrt.f64 (fma.f64 1/6 y 1)) (*.f64 (sqrt.f64 (fma.f64 1/6 y 1)) 1)) |
(fma.f64 1/6 y 1) |
(*.f64 (cbrt.f64 (fma.f64 1/6 y 1)) (pow.f64 (cbrt.f64 (fma.f64 1/6 y 1)) 2)) |
(fma.f64 1/6 y 1) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 y 1)) 2) (cbrt.f64 (fma.f64 1/6 y 1))) |
(fma.f64 1/6 y 1) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 y 1)) 2) (*.f64 (cbrt.f64 (fma.f64 1/6 y 1)) 1)) |
(fma.f64 1/6 y 1) |
(*.f64 (-.f64 1 (*.f64 (*.f64 y y) 1/36)) (/.f64 1 (+.f64 1 (*.f64 -1/6 y)))) |
(/.f64 (-.f64 1 (*.f64 y (*.f64 y 1/36))) (+.f64 1 (*.f64 y -1/6))) |
(/.f64 (fma.f64 y (*.f64 y 1/36) -1) (fma.f64 1/6 y -1)) |
(*.f64 (+.f64 1 (*.f64 (pow.f64 y 3) 1/216)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y -1))))) |
(/.f64 (+.f64 1 (*.f64 (pow.f64 y 3) 1/216)) (+.f64 1 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y -1)))) |
(/.f64 (fma.f64 (pow.f64 y 3) 1/216 1) (fma.f64 1/6 (*.f64 y (fma.f64 1/6 y -1)) 1)) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 -1/6 y)) (-.f64 1 (*.f64 (*.f64 y y) 1/36)))) |
(/.f64 (-.f64 1 (*.f64 y (*.f64 y 1/36))) (+.f64 1 (*.f64 y -1/6))) |
(/.f64 (fma.f64 y (*.f64 y 1/36) -1) (fma.f64 1/6 y -1)) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y -1))) (+.f64 1 (*.f64 (pow.f64 y 3) 1/216)))) |
(/.f64 (+.f64 1 (*.f64 (pow.f64 y 3) 1/216)) (+.f64 1 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y -1)))) |
(/.f64 (fma.f64 (pow.f64 y 3) 1/216 1) (fma.f64 1/6 (*.f64 y (fma.f64 1/6 y -1)) 1)) |
(/.f64 (-.f64 1 (*.f64 (*.f64 y y) 1/36)) (+.f64 1 (*.f64 -1/6 y))) |
(/.f64 (-.f64 1 (*.f64 y (*.f64 y 1/36))) (+.f64 1 (*.f64 y -1/6))) |
(/.f64 (fma.f64 y (*.f64 y 1/36) -1) (fma.f64 1/6 y -1)) |
(/.f64 (+.f64 1 (*.f64 (pow.f64 y 3) 1/216)) (+.f64 1 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y -1)))) |
(/.f64 (fma.f64 (pow.f64 y 3) 1/216 1) (fma.f64 1/6 (*.f64 y (fma.f64 1/6 y -1)) 1)) |
(/.f64 (+.f64 1 (*.f64 (pow.f64 y 3) 1/216)) (+.f64 (*.f64 (*.f64 y y) 1/36) (+.f64 1 (*.f64 -1/6 y)))) |
(/.f64 (+.f64 1 (*.f64 (pow.f64 y 3) 1/216)) (+.f64 1 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y -1)))) |
(/.f64 (fma.f64 (pow.f64 y 3) 1/216 1) (fma.f64 1/6 (*.f64 y (fma.f64 1/6 y -1)) 1)) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 y y) 1/36)) 1) (+.f64 1 (*.f64 -1/6 y))) |
(/.f64 (-.f64 1 (*.f64 y (*.f64 y 1/36))) (+.f64 1 (*.f64 y -1/6))) |
(/.f64 (fma.f64 y (*.f64 y 1/36) -1) (fma.f64 1/6 y -1)) |
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 y 3) 1/216)) 1) (+.f64 1 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y -1)))) |
(/.f64 (+.f64 1 (*.f64 (pow.f64 y 3) 1/216)) (+.f64 1 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y -1)))) |
(/.f64 (fma.f64 (pow.f64 y 3) 1/216 1) (fma.f64 1/6 (*.f64 y (fma.f64 1/6 y -1)) 1)) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/36) 1) (fma.f64 1/6 y -1)) |
(/.f64 (-.f64 1 (*.f64 y (*.f64 y 1/36))) (+.f64 1 (*.f64 y -1/6))) |
(/.f64 (fma.f64 y (*.f64 y 1/36) -1) (fma.f64 1/6 y -1)) |
(/.f64 (neg.f64 (-.f64 1 (*.f64 (*.f64 y y) 1/36))) (neg.f64 (+.f64 1 (*.f64 -1/6 y)))) |
(/.f64 (-.f64 1 (*.f64 y (*.f64 y 1/36))) (+.f64 1 (*.f64 y -1/6))) |
(/.f64 (fma.f64 y (*.f64 y 1/36) -1) (fma.f64 1/6 y -1)) |
(/.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 y 3) 1/216))) (neg.f64 (+.f64 1 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y -1))))) |
(/.f64 (+.f64 1 (*.f64 (pow.f64 y 3) 1/216)) (+.f64 1 (*.f64 (*.f64 1/6 y) (fma.f64 1/6 y -1)))) |
(/.f64 (fma.f64 (pow.f64 y 3) 1/216 1) (fma.f64 1/6 (*.f64 y (fma.f64 1/6 y -1)) 1)) |
(pow.f64 (fma.f64 1/6 y 1) 1) |
(fma.f64 1/6 y 1) |
(pow.f64 (sqrt.f64 (fma.f64 1/6 y 1)) 2) |
(fma.f64 1/6 y 1) |
(pow.f64 (cbrt.f64 (fma.f64 1/6 y 1)) 3) |
(fma.f64 1/6 y 1) |
(pow.f64 (pow.f64 (fma.f64 1/6 y 1) 3) 1/3) |
(fma.f64 1/6 y 1) |
(sqrt.f64 (pow.f64 (fma.f64 1/6 y 1) 2)) |
(fabs.f64 (fma.f64 1/6 y 1)) |
(log.f64 (exp.f64 (fma.f64 1/6 y 1))) |
(fma.f64 1/6 y 1) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 y 1)))) |
(fma.f64 1/6 y 1) |
(cbrt.f64 (pow.f64 (fma.f64 1/6 y 1) 3)) |
(fma.f64 1/6 y 1) |
(expm1.f64 (log1p.f64 (fma.f64 1/6 y 1))) |
(fma.f64 1/6 y 1) |
(exp.f64 (log1p.f64 (*.f64 1/6 y))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 1/6 y)) 1)) |
(exp.f64 (log1p.f64 (*.f64 1/6 y))) |
(log1p.f64 (expm1.f64 (fma.f64 1/6 y 1))) |
(fma.f64 1/6 y 1) |
(fma.f64 1 (*.f64 1/6 y) 1) |
(fma.f64 1/6 y 1) |
(fma.f64 1/6 y 1) |
(fma.f64 y 1/6 1) |
(fma.f64 1/6 y 1) |
(fma.f64 (sqrt.f64 (*.f64 1/6 y)) (sqrt.f64 (*.f64 1/6 y)) 1) |
(fma.f64 1/6 y 1) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 y)) 2) (cbrt.f64 (*.f64 1/6 y)) 1) |
(fma.f64 1/6 y 1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.1b | (/.f64 (sinh.f64 y) (pow.f64 y 2/3)) |
| 0.6b | (cbrt.f64 y) | |
| ✓ | 2.7b | (pow.f64 y 2/3) |
Compiled 41 to 20 computations (51.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 44.0ms | y | @ | 0 | (pow.f64 y 2/3) |
| 16.0ms | y | @ | -inf | (pow.f64 y 2/3) |
| 6.0ms | y | @ | inf | (pow.f64 y 2/3) |
| 0.0ms | y | @ | -inf | (/.f64 (sinh.f64 y) (pow.f64 y 2/3)) |
| 0.0ms | y | @ | inf | (/.f64 (sinh.f64 y) (pow.f64 y 2/3)) |
| 1× | batch-egg-rewrite |
| 1714× | add-sqr-sqrt |
| 1684× | *-un-lft-identity |
| 1584× | add-cube-cbrt |
| 1564× | add-cbrt-cube |
| 170× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 40 |
| 1 | 173 | 32 |
| 2 | 2245 | 32 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 y 2/3) |
(/.f64 (sinh.f64 y) (pow.f64 y 2/3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 y (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 2/3) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 y) 2/3) (pow.f64 (sqrt.f64 y) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) 2/3) (pow.f64 (cbrt.f64 y) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 y) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) (*.f64 y (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) (*.f64 y (cbrt.f64 y)))) (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (/.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (*.f64 y y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) (*.f64 y (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (sinh.f64 y)) (*.f64 2/3 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (sinh.f64 y)) (*.f64 2/3 (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))))))) |
| 1× | egg-herbie |
| 578× | associate-/l* |
| 562× | +-commutative |
| 560× | exp-prod |
| 548× | unswap-sqr |
| 510× | times-frac |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 8589936147 |
| 1 | 301 | 1629 |
| 2 | 906 | 1597 |
| 3 | 3641 | 1293 |
| 4 | 7940 | 1293 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 y 2) 1/3) |
(pow.f64 (pow.f64 y 2) 1/3) |
(pow.f64 (pow.f64 y 2) 1/3) |
(pow.f64 (pow.f64 y 2) 1/3) |
(pow.f64 (pow.f64 y 2) 1/3) |
(pow.f64 (pow.f64 y 2) 1/3) |
(pow.f64 (pow.f64 y 2) 1/3) |
(pow.f64 (pow.f64 y 2) 1/3) |
(exp.f64 (*.f64 2/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(exp.f64 (*.f64 2/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(exp.f64 (*.f64 2/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(exp.f64 (*.f64 2/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 1) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) 1) |
(*.f64 1 (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) |
(*.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (pow.f64 1 2/3) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (pow.f64 (sqrt.f64 y) 2/3) (pow.f64 (sqrt.f64 y) 2/3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) 2/3) (pow.f64 (cbrt.f64 y) 2/3)) |
(sqrt.f64 (*.f64 y (cbrt.f64 y))) |
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(cbrt.f64 (*.f64 y y)) |
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) |
(exp.f64 (*.f64 2/3 (log.f64 y))) |
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 y)) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 y) 2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) 1) |
(*.f64 (sinh.f64 y) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) 1) |
(*.f64 1 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y))) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) (*.f64 y (cbrt.f64 y))))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) (*.f64 y (cbrt.f64 y)))) (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (sinh.f64 y)) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (sinh.f64 y) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (/.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) |
(pow.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 3) |
(pow.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (*.f64 y y)) 1/3) |
(pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y)) -1) |
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(sqrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) (*.f64 y (cbrt.f64 y)))) |
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))))) |
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (*.f64 y y))) |
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) |
(exp.f64 (-.f64 (log.f64 (sinh.f64 y)) (*.f64 2/3 (log.f64 y)))) |
(exp.f64 (*.f64 (-.f64 (log.f64 (sinh.f64 y)) (*.f64 2/3 (log.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) |
| Outputs |
|---|
(pow.f64 (pow.f64 y 2) 1/3) |
(cbrt.f64 (*.f64 y y)) |
(pow.f64 (pow.f64 y 2) 1/3) |
(cbrt.f64 (*.f64 y y)) |
(pow.f64 (pow.f64 y 2) 1/3) |
(cbrt.f64 (*.f64 y y)) |
(pow.f64 (pow.f64 y 2) 1/3) |
(cbrt.f64 (*.f64 y y)) |
(pow.f64 (pow.f64 y 2) 1/3) |
(cbrt.f64 (*.f64 y y)) |
(pow.f64 (pow.f64 y 2) 1/3) |
(cbrt.f64 (*.f64 y y)) |
(pow.f64 (pow.f64 y 2) 1/3) |
(cbrt.f64 (*.f64 y y)) |
(pow.f64 (pow.f64 y 2) 1/3) |
(cbrt.f64 (*.f64 y y)) |
(exp.f64 (*.f64 2/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(pow.f64 (exp.f64 2/3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(pow.f64 (exp.f64 2/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(pow.f64 (cbrt.f64 y) 2) |
(exp.f64 (*.f64 2/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(pow.f64 (exp.f64 2/3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(pow.f64 (exp.f64 2/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(pow.f64 (cbrt.f64 y) 2) |
(exp.f64 (*.f64 2/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(pow.f64 (exp.f64 2/3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(pow.f64 (exp.f64 2/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(pow.f64 (cbrt.f64 y) 2) |
(exp.f64 (*.f64 2/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(pow.f64 (exp.f64 2/3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(pow.f64 (exp.f64 2/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(pow.f64 (cbrt.f64 y) 2) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 1) |
(pow.f64 (exp.f64 2/3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(pow.f64 (exp.f64 2/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(pow.f64 (cbrt.f64 y) 2) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) 1) |
(pow.f64 (exp.f64 2/3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(pow.f64 (exp.f64 2/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(pow.f64 (cbrt.f64 y) 2) |
(*.f64 1 (pow.f64 (cbrt.f64 y) 2)) |
(pow.f64 (exp.f64 2/3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(pow.f64 (exp.f64 2/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(pow.f64 (cbrt.f64 y) 2) |
(*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
(pow.f64 (exp.f64 2/3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(pow.f64 (exp.f64 2/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(pow.f64 (cbrt.f64 y) 2) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) |
(*.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) |
(*.f64 (pow.f64 1 2/3) (pow.f64 (cbrt.f64 y) 2)) |
(pow.f64 (exp.f64 2/3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(pow.f64 (exp.f64 2/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(pow.f64 (cbrt.f64 y) 2) |
(*.f64 (pow.f64 (sqrt.f64 y) 2/3) (pow.f64 (sqrt.f64 y) 2/3)) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (cbrt.f64 (sqrt.f64 y)) (sqrt.f64 y)) |
(pow.f64 (cbrt.f64 (sqrt.f64 y)) 4) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) 2/3) (pow.f64 (cbrt.f64 y) 2/3)) |
(*.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))))) |
(sqrt.f64 (*.f64 y (cbrt.f64 y))) |
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2))) |
(pow.f64 (exp.f64 2/3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(pow.f64 (exp.f64 2/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(pow.f64 (cbrt.f64 y) 2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(pow.f64 (exp.f64 2/3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(pow.f64 (exp.f64 2/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(pow.f64 (cbrt.f64 y) 2) |
(cbrt.f64 (*.f64 y y)) |
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) |
(pow.f64 (exp.f64 2/3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(pow.f64 (exp.f64 2/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(pow.f64 (cbrt.f64 y) 2) |
(exp.f64 (*.f64 2/3 (log.f64 y))) |
(pow.f64 (exp.f64 2/3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(pow.f64 (exp.f64 2/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(pow.f64 (cbrt.f64 y) 2) |
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 y)) 1)) |
(pow.f64 (exp.f64 2/3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(pow.f64 (exp.f64 2/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(pow.f64 (cbrt.f64 y) 2) |
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 y) 2))) |
(pow.f64 (exp.f64 2/3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(pow.f64 (exp.f64 2/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(pow.f64 (cbrt.f64 y) 2) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) 1) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (sinh.f64 y) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) 1) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 1 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y))) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) (*.f64 y (cbrt.f64 y))))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) (*.f64 y (cbrt.f64 y)))) (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) (*.f64 y (cbrt.f64 y))))) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (sinh.f64 y)) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (sinh.f64 y) (cbrt.f64 y))) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (/.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (/.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 y))) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y))))) |
(pow.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) 1) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) 2) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) 3) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(pow.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (*.f64 y y)) 1/3) |
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (*.f64 y y))) |
(cbrt.f64 (/.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) y) y)) |
(pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y)) -1) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(sqrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) (*.f64 y (cbrt.f64 y)))) |
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))))) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (*.f64 y y))) |
(cbrt.f64 (/.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) y) y)) |
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(exp.f64 (-.f64 (log.f64 (sinh.f64 y)) (*.f64 2/3 (log.f64 y)))) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(exp.f64 (*.f64 (-.f64 (log.f64 (sinh.f64 y)) (*.f64 2/3 (log.f64 y))) 1)) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)))) |
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
Compiled 5123 to 3132 computations (38.9% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 284 | 1 | 285 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 284 | 7 | 291 |
| Status | Error | Program |
|---|---|---|
| ✓ | 38.3b | (*.f64 (cos.f64 x) (/.f64 (/.f64 (sinh.f64 y) (pow.f64 y 2/3)) (cbrt.f64 y))) |
| ✓ | 0.0b | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 0.6b | (*.f64 (cos.f64 x) (+.f64 1 (*.f64 y (-.f64 (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1/6 y))) (/.f64 (*.f64 (*.f64 y y) 1/36) (+.f64 1 (*.f64 -1/6 y)))) 1)))) | |
| ✓ | 0.6b | (*.f64 (cos.f64 x) (+.f64 1 (*.f64 y (-.f64 (+.f64 1 (*.f64 1/6 y)) 1)))) |
| ✓ | 0.6b | (*.f64 (cos.f64 x) (+.f64 1 (*.f64 y (*.f64 1/6 y)))) |
| ✓ | 0.6b | (*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
| ✓ | 0.7b | (*.f64 (cos.f64 x) 1) |
Compiled 99 to 76 computations (23.2% saved)
| Inputs |
|---|
(*.f64 (cos.f64 x) 1) |
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 y (*.f64 1/6 y)))) |
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 y (-.f64 (+.f64 1 (*.f64 1/6 y)) 1)))) |
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 y (-.f64 (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1/6 y))) (/.f64 (*.f64 (*.f64 y y) 1/36) (+.f64 1 (*.f64 -1/6 y)))) 1)))) |
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (cos.f64 x) (/.f64 (/.f64 (sinh.f64 y) (pow.f64 y 2/3)) (cbrt.f64 y))) |
(*.f64 (cos.f64 x) (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))) |
(*.f64 (cos.f64 x) (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y))) |
| Outputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
5 calls:
| 31.0ms | (cos.f64 x) |
| 6.0ms | y |
| 5.0ms | x |
| 4.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 2.0ms | (/.f64 (sinh.f64 y) y) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 0.0b | 1 | (cos.f64 x) |
| 0.0b | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 139 to 83 computations (40.3% saved)
Total -0.1b remaining (-15.1%)
Threshold costs -0.1b (-15.1%)
| Inputs |
|---|
(*.f64 (cos.f64 x) 1) |
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 y (*.f64 1/6 y)))) |
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 y (-.f64 (+.f64 1 (*.f64 1/6 y)) 1)))) |
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 y (-.f64 (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1/6 y))) (/.f64 (*.f64 (*.f64 y y) 1/36) (+.f64 1 (*.f64 -1/6 y)))) 1)))) |
| Outputs |
|---|
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
3 calls:
| 5.0ms | y |
| 4.0ms | x |
| 3.0ms | (cos.f64 x) |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 1 | x |
| 0.6b | 1 | y |
| 0.6b | 1 | (cos.f64 x) |
Compiled 78 to 54 computations (30.8% saved)
| 1× | egg-herbie |
| 8× | *-commutative |
| 2× | *-rgt-identity |
| 2× | 1-exp |
| 2× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 55 |
| 1 | 23 | 55 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
(*.f64 (cos.f64 x) 1) |
| Outputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
(*.f64 (cos.f64 x) 1) |
(cos.f64 x) |
Compiled 25 to 18 computations (28% saved)
Compiled 21 to 12 computations (42.9% saved)
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