Time bar (total: 5.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 2 |
Compiled 10 to 8 computations (20% saved)
| 773.0ms | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 1198× | fma-def |
| 778× | sqr-pow |
| 712× | fabs-mul |
| 684× | *-commutative |
| 530× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 17 | 25 |
| 2 | 22 | 25 |
| 3 | 29 | 25 |
| 4 | 49 | 25 |
| 5 | 91 | 25 |
| 6 | 196 | 25 |
| 7 | 417 | 25 |
| 8 | 989 | 25 |
| 9 | 2380 | 25 |
| 10 | 3382 | 25 |
| 11 | 4575 | 25 |
| 12 | 6270 | 25 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
| 1198× | fma-def |
| 778× | sqr-pow |
| 712× | fabs-mul |
| 684× | *-commutative |
| 530× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 17 | 25 |
| 2 | 22 | 25 |
| 3 | 29 | 25 |
| 4 | 49 | 25 |
| 5 | 91 | 25 |
| 6 | 196 | 25 |
| 7 | 417 | 25 |
| 8 | 989 | 25 |
| 9 | 2380 | 25 |
| 10 | 3382 | 25 |
| 11 | 4575 | 25 |
| 12 | 6270 | 25 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 9 to 7 computations (22.2% 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 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 9 to 7 computations (22.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| ✓ | 0.0b | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 24 to 8 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 1.0ms | x | @ | inf | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 0.0ms | x | @ | 0 | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 0.0ms | x | @ | 0 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 0.0ms | x | @ | inf | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 2× | egg-rewrite-iter-limit |
| 2× | egg-rewrite |
| 1× | batch-egg-rewrite |
| 222× | add-sqr-sqrt |
| 222× | add-sqr-sqrt |
| 210× | add-exp-log |
| 210× | pow1 |
| 210× | *-un-lft-identity |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 1 | 216 | 34 |
| 2 | 3273 | 34 |
| 0 | 10 | 17 |
| 1 | 216 | 17 |
| 2 | 3273 | 17 |
| 0 | 10 | 17 |
| 0 | 8 | 11 |
| 1 | 169 | 11 |
| 2 | 2616 | 11 |
| 0 | 8 | 11 |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | unsound |
| 1× | unsound |
| Inputs |
|---|
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) (/.f64 2 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (*.f64 2 (cosh.f64 x))) (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (cosh.f64 x)))))))) |
| 1× | egg-herbie |
| 1420× | associate-*r* |
| 1162× | associate-+r+ |
| 996× | associate-*l* |
| 988× | associate-+l+ |
| 846× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 998 |
| 1 | 227 | 966 |
| 2 | 902 | 692 |
| 3 | 5000 | 692 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4))))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
2 |
(+.f64 2 (pow.f64 x 2)) |
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) |
(+.f64 2 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(*.f64 2 (/.f64 1 (*.f64 2 (cosh.f64 x)))) |
(*.f64 1 (/.f64 2 (*.f64 2 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
(pow.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) 1) |
(log.f64 (exp.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
(cbrt.f64 (*.f64 (*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
(exp.f64 (log.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
(*.f64 1 (*.f64 2 (cosh.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 2 (cosh.f64 x)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(pow.f64 (*.f64 2 (cosh.f64 x)) 1) |
(log.f64 (exp.f64 (*.f64 2 (cosh.f64 x)))) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (*.f64 2 (cosh.f64 x))) (*.f64 2 (cosh.f64 x)))) |
(expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))) |
(exp.f64 (log.f64 (*.f64 2 (cosh.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 2 (cosh.f64 x)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (*.f64 5/24 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) (*.f64 -61/720 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 5/24 (pow.f64 x 4) (*.f64 -61/720 (pow.f64 x 6)))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
2 |
(+.f64 2 (pow.f64 x 2)) |
(+.f64 2 (*.f64 x x)) |
(fma.f64 x x 2) |
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) |
(+.f64 (+.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 4) 1/12)) |
(+.f64 2 (fma.f64 (pow.f64 x 4) 1/12 (*.f64 x x))) |
(fma.f64 (pow.f64 x 4) 1/12 (fma.f64 x x 2)) |
(+.f64 2 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))) |
(+.f64 2 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/12)))) |
(+.f64 2 (fma.f64 (pow.f64 x 6) 1/360 (fma.f64 (pow.f64 x 4) 1/12 (*.f64 x x)))) |
(fma.f64 (pow.f64 x 6) 1/360 (fma.f64 (pow.f64 x 4) 1/12 (fma.f64 x x 2))) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(*.f64 2 (/.f64 1 (*.f64 2 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 1 (/.f64 2 (*.f64 2 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) 1) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(log.f64 (exp.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(cbrt.f64 (*.f64 (*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(exp.f64 (log.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 1 (*.f64 2 (cosh.f64 x))) |
(*.f64 2 (cosh.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 2 (cosh.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 2 (cosh.f64 x)) |
(*.f64 2 (cosh.f64 x)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 2 (cosh.f64 x)) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 -1 (exp.f64 (*.f64 x -2))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 3 x)) (exp.f64 (*.f64 x -3))) (+.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 (*.f64 x -2)))) |
(pow.f64 (*.f64 2 (cosh.f64 x)) 1) |
(*.f64 2 (cosh.f64 x)) |
(log.f64 (exp.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 2 (cosh.f64 x)) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (*.f64 2 (cosh.f64 x))) (*.f64 2 (cosh.f64 x)))) |
(*.f64 2 (cosh.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 2 (cosh.f64 x)) |
(exp.f64 (log.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 2 (cosh.f64 x)) |
(log1p.f64 (expm1.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 2 (cosh.f64 x)) |
Compiled 654 to 443 computations (32.3% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 47 | 6 | 53 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 48 | 6 | 54 |
| Status | Error | Program |
|---|---|---|
| ▶ | 15.2b | (/.f64 2 (+.f64 2 (*.f64 x x))) |
| ▶ | 0.0b | (/.f64 1 (cosh.f64 x)) |
| ▶ | 33.7b | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| ▶ | 0.0b | (*.f64 (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
| ▶ | 0.3b | (cbrt.f64 (*.f64 (*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
| 33.3b | 1 |
Compiled 120 to 94 computations (21.7% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (cosh.f64 x)) |
Compiled 9 to 5 computations (44.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/.f64 1 (cosh.f64 x)) |
| 1.0ms | x | @ | inf | (/.f64 1 (cosh.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (cosh.f64 x)) |
| 1× | batch-egg-rewrite |
| 1290× | add-sqr-sqrt |
| 1272× | *-un-lft-identity |
| 1180× | add-cube-cbrt |
| 1166× | add-cbrt-cube |
| 1156× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 140 | 11 |
| 2 | 1630 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (cosh.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cosh.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cosh.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x)))))))) |
| 1× | egg-herbie |
| 1416× | associate-/r* |
| 1090× | associate-*r* |
| 870× | associate-*l* |
| 710× | distribute-lft-neg-out |
| 678× | distribute-rgt-neg-out |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 851 |
| 1 | 178 | 847 |
| 2 | 592 | 487 |
| 3 | 3111 | 481 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4))))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(-.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 1) |
(*.f64 1 (/.f64 1 (cosh.f64 x))) |
(*.f64 (/.f64 1 (cosh.f64 x)) 1) |
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x)))) |
(*.f64 -1 (/.f64 1 (neg.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 2 (cosh.f64 x))) 2) |
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1)) |
(pow.f64 (cosh.f64 x) -1) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 1) |
(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (cosh.f64 x) -2)) |
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) |
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) |
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (*.f64 5/24 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) (*.f64 -61/720 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -61/720 (pow.f64 x 6) (*.f64 x (*.f64 -1/2 x))) (fma.f64 5/24 (pow.f64 x 4) 1)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(-.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 1) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 1 (/.f64 1 (cosh.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (/.f64 1 (cosh.f64 x)) 1) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) |
(*.f64 -1 (/.f64 1 (neg.f64 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (/.f64 1 (*.f64 2 (cosh.f64 x))) 2) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1)) |
(pow.f64 (sqrt.f64 (cosh.f64 x)) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (cbrt.f64 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 1) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 3) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(sqrt.f64 (pow.f64 (cosh.f64 x) -2)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
Compiled 19 to 10 computations (47.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 2 (+.f64 2 (*.f64 x x))) |
Compiled 18 to 9 computations (50% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 2 (+.f64 2 (*.f64 x x))) |
| 0.0ms | x | @ | 0 | (/.f64 2 (+.f64 2 (*.f64 x x))) |
| 0.0ms | x | @ | -inf | (/.f64 2 (+.f64 2 (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 1624× | add-sqr-sqrt |
| 1596× | *-un-lft-identity |
| 1500× | add-cube-cbrt |
| 1490× | add-cbrt-cube |
| 154× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 157 | 15 |
| 2 | 2039 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (+.f64 2 (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (fma.f64 x x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (fma.f64 x x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fma.f64 x x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (fma.f64 x x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (fma.f64 x x 2))) (sqrt.f64 (/.f64 2 (fma.f64 x x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 x x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (fma.f64 x x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (-.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 8 (pow.f64 x 6))) (+.f64 4 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (fma.f64 x x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 x x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (fma.f64 x x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x x 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (fma.f64 x x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 x x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 x x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 x x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (fma.f64 x x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 x x 2)))))))) |
| 1× | egg-herbie |
| 1628× | associate-/l* |
| 1470× | associate-/r* |
| 1322× | associate-*r* |
| 1102× | associate-*l* |
| 888× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 848 |
| 1 | 237 | 840 |
| 2 | 841 | 836 |
| 3 | 4306 | 836 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 6))))) |
(/.f64 2 (pow.f64 x 2)) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 16 (/.f64 1 (pow.f64 x 8))))) |
(/.f64 2 (pow.f64 x 2)) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 16 (/.f64 1 (pow.f64 x 8))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (fma.f64 x x 2)))) 1) |
(*.f64 2 (/.f64 1 (fma.f64 x x 2))) |
(*.f64 (/.f64 2 (fma.f64 x x 2)) 1) |
(*.f64 1 (/.f64 2 (fma.f64 x x 2))) |
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x x 2))) (sqrt.f64 (/.f64 2 (fma.f64 x x 2)))) |
(*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 x x 2)))) |
(*.f64 (/.f64 1 (fma.f64 x x 2)) 2) |
(*.f64 -2 (/.f64 1 (neg.f64 (fma.f64 x x 2)))) |
(*.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (-.f64 2 (*.f64 x x))) |
(*.f64 (/.f64 2 (+.f64 8 (pow.f64 x 6))) (+.f64 4 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) 2)))) |
(pow.f64 (/.f64 2 (fma.f64 x x 2)) 1) |
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 x x 2))) 2) |
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) 3) |
(pow.f64 (pow.f64 (/.f64 2 (fma.f64 x x 2)) 3) 1/3) |
(pow.f64 (*.f64 (fma.f64 x x 2) 1/2) -1) |
(sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x x 2) 2))) |
(log.f64 (exp.f64 (/.f64 2 (fma.f64 x x 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 x x 2))))) |
(cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 x x 2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 x x 2)))) |
(exp.f64 (log.f64 (/.f64 2 (fma.f64 x x 2)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x x 2))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 x x 2)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 1/4 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/4 (pow.f64 x 4)))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/4 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 6))))) |
(+.f64 1 (fma.f64 1/4 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 6))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/4 (pow.f64 x 4) (*.f64 -1/8 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 1/4 (pow.f64 x 4) (*.f64 -1/8 (pow.f64 x 6)))) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 (/.f64 2 x) x) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4))) |
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -4 (pow.f64 x 4))) |
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -4 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 8 (pow.f64 x 6)) (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 8 (pow.f64 x 6)) (/.f64 -4 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -4 (pow.f64 x 4))) (/.f64 8 (pow.f64 x 6))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 16 (/.f64 1 (pow.f64 x 8))))) |
(-.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8 (pow.f64 x 6))) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 16 (pow.f64 x 8)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 8 (pow.f64 x 6)) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 16 (pow.f64 x 8))))) |
(+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -4 (pow.f64 x 4))) (+.f64 (/.f64 8 (pow.f64 x 6)) (/.f64 -16 (pow.f64 x 8)))) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 (/.f64 2 x) x) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4))) |
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -4 (pow.f64 x 4))) |
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -4 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 8 (pow.f64 x 6)) (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 8 (pow.f64 x 6)) (/.f64 -4 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -4 (pow.f64 x 4))) (/.f64 8 (pow.f64 x 6))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 16 (/.f64 1 (pow.f64 x 8))))) |
(-.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8 (pow.f64 x 6))) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 16 (pow.f64 x 8)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 8 (pow.f64 x 6)) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 16 (pow.f64 x 8))))) |
(+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -4 (pow.f64 x 4))) (+.f64 (/.f64 8 (pow.f64 x 6)) (/.f64 -16 (pow.f64 x 8)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (fma.f64 x x 2)))) 1) |
(/.f64 2 (fma.f64 x x 2)) |
(*.f64 2 (/.f64 1 (fma.f64 x x 2))) |
(/.f64 2 (fma.f64 x x 2)) |
(*.f64 (/.f64 2 (fma.f64 x x 2)) 1) |
(/.f64 2 (fma.f64 x x 2)) |
(*.f64 1 (/.f64 2 (fma.f64 x x 2))) |
(/.f64 2 (fma.f64 x x 2)) |
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x x 2))) (sqrt.f64 (/.f64 2 (fma.f64 x x 2)))) |
(/.f64 2 (fma.f64 x x 2)) |
(*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) 2)) |
(/.f64 2 (fma.f64 x x 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 x x 2)))) |
(/.f64 2 (fma.f64 x x 2)) |
(*.f64 (/.f64 1 (fma.f64 x x 2)) 2) |
(/.f64 2 (fma.f64 x x 2)) |
(*.f64 -2 (/.f64 1 (neg.f64 (fma.f64 x x 2)))) |
(/.f64 2 (fma.f64 x x 2)) |
(*.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (-.f64 2 (*.f64 x x))) |
(/.f64 (*.f64 2 (-.f64 2 (*.f64 x x))) (-.f64 4 (pow.f64 x 4))) |
(/.f64 2 (/.f64 (-.f64 4 (pow.f64 x 4)) (-.f64 2 (*.f64 x x)))) |
(*.f64 (/.f64 2 (+.f64 8 (pow.f64 x 6))) (+.f64 4 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) 2)))) |
(*.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (+.f64 4 (*.f64 x (*.f64 x (fma.f64 x x -2))))) |
(*.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 x (*.f64 x (fma.f64 x x -2)) 4)) |
(/.f64 (*.f64 2 (fma.f64 x (*.f64 x (fma.f64 x x -2)) 4)) (+.f64 (pow.f64 x 6) 8)) |
(pow.f64 (/.f64 2 (fma.f64 x x 2)) 1) |
(/.f64 2 (fma.f64 x x 2)) |
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 x x 2))) 2) |
(/.f64 2 (fma.f64 x x 2)) |
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) 3) |
(/.f64 2 (fma.f64 x x 2)) |
(pow.f64 (pow.f64 (/.f64 2 (fma.f64 x x 2)) 3) 1/3) |
(/.f64 2 (fma.f64 x x 2)) |
(pow.f64 (*.f64 (fma.f64 x x 2) 1/2) -1) |
(/.f64 2 (fma.f64 x x 2)) |
(sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x x 2) 2))) |
(log.f64 (exp.f64 (/.f64 2 (fma.f64 x x 2)))) |
(/.f64 2 (fma.f64 x x 2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 x x 2))))) |
(/.f64 2 (fma.f64 x x 2)) |
(cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 x x 2)) 3)) |
(/.f64 2 (fma.f64 x x 2)) |
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 x x 2)))) |
(/.f64 2 (fma.f64 x x 2)) |
(exp.f64 (log.f64 (/.f64 2 (fma.f64 x x 2)))) |
(/.f64 2 (fma.f64 x x 2)) |
(exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x x 2))) 1)) |
(/.f64 2 (fma.f64 x x 2)) |
(log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 x x 2)))) |
(/.f64 2 (fma.f64 x x 2)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
| ✓ | 0.0b | (/.f64 2 (*.f64 2 (cosh.f64 x))) |
| ✓ | 0.2b | (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) |
Compiled 37 to 25 computations (32.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) |
| 0.0ms | x | @ | 0 | (*.f64 (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
| 0.0ms | x | @ | inf | (*.f64 (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
| 1× | batch-egg-rewrite |
| 1744× | add-sqr-sqrt |
| 1724× | *-un-lft-identity |
| 1604× | add-cube-cbrt |
| 1590× | add-cbrt-cube |
| 182× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 37 |
| 1 | 193 | 37 |
| 2 | 2330 | 37 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) |
(/.f64 2 (*.f64 2 (cosh.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sqrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (/.f64 1 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (pow.f64 (/.f64 1/2 (cosh.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (/.f64 1 (cbrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) (sqrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 1 (sqrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -2) (sqrt.f64 (*.f64 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cosh.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (neg.f64 (log.f64 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log.f64 (cosh.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 1 (sqrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4) (*.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4) (/.f64 1 (sqrt.f64 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (/.f64 1 (sqrt.f64 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) (/.f64 1 (cbrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cosh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4)) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cosh.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log.f64 (cosh.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (neg.f64 (*.f64 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (cosh.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 2)) (sqrt.f64 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (sqrt.f64 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (cosh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cosh.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log.f64 (cosh.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x)))))))) |
| 1× | egg-herbie |
| 910× | associate-*r/ |
| 798× | unswap-sqr |
| 630× | times-frac |
| 578× | distribute-lft-neg-in |
| 574× | distribute-rgt-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 3277 |
| 1 | 412 | 3165 |
| 2 | 1352 | 1937 |
| 3 | 6527 | 1937 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 7/96 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -139/5760 (pow.f64 x 6)) (*.f64 7/96 (pow.f64 x 4))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4))))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4))))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))) 1) |
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 1) |
(*.f64 1 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 2) (/.f64 1 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(*.f64 (sqrt.f64 2) (pow.f64 (/.f64 1/2 (cosh.f64 x)) 1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))) |
(*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) (sqrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))) |
(*.f64 (pow.f64 1 1/2) (/.f64 1 (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 1/2)) |
(/.f64 1 (sqrt.f64 (cosh.f64 x))) |
(/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (sqrt.f64 -2) (sqrt.f64 (*.f64 (cosh.f64 x) -2))) |
(/.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 1/2) |
(pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 1) |
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1/4) |
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) 1/3) |
(fabs.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) |
(log.f64 (exp.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2)) |
(expm1.f64 (log1p.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))) |
(exp.f64 (*.f64 1/2 (neg.f64 (log.f64 (cosh.f64 x))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1/2)) |
(exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log.f64 (cosh.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1) |
(*.f64 2 (/.f64 1/2 (cosh.f64 x))) |
(*.f64 (/.f64 1 (cosh.f64 x)) 1) |
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 1 (sqrt.f64 (cosh.f64 x)))) |
(*.f64 1 (/.f64 1 (cosh.f64 x))) |
(*.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4) (*.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4) (/.f64 1 (sqrt.f64 (cosh.f64 x))))) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (/.f64 1 (sqrt.f64 (cosh.f64 x))))) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 1/2 (cosh.f64 x)) 2) |
(*.f64 -2 (/.f64 1 (*.f64 (cosh.f64 x) -2))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4)) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4)) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))) |
(pow.f64 (cosh.f64 x) -1) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 1) |
(pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1/2) |
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3) |
(sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))) |
(fabs.f64 (/.f64 1 (cosh.f64 x))) |
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) |
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1)) |
(exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log.f64 (cosh.f64 x)))) 2)) |
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1) |
(/.f64 2 (*.f64 2 (cosh.f64 x))) |
(/.f64 2 (neg.f64 (*.f64 (cosh.f64 x) -2))) |
(/.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 -2 (*.f64 (cosh.f64 x) -2)) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 2)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 2) (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 2 (cosh.f64 x)) 2) |
(/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x))) |
(/.f64 -1 (neg.f64 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 1) |
(pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1/2) |
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3) |
(sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))) |
(fabs.f64 (/.f64 1 (cosh.f64 x))) |
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) |
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1)) |
(exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log.f64 (cosh.f64 x)))) 2)) |
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/4 (*.f64 x x))) |
(fma.f64 -1/4 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 7/96 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/4 (*.f64 x x) (*.f64 7/96 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -1/4 (*.f64 x x) 1) (*.f64 7/96 (pow.f64 x 4))) |
(fma.f64 -1/4 (*.f64 x x) (fma.f64 7/96 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -139/5760 (pow.f64 x 6)) (*.f64 7/96 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/4 (*.f64 x x) (fma.f64 -139/5760 (pow.f64 x 6) (*.f64 7/96 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/4 (*.f64 x x) 1) (fma.f64 7/96 (pow.f64 x 4) (*.f64 -139/5760 (pow.f64 x 6)))) |
(+.f64 1 (fma.f64 7/96 (pow.f64 x 4) (fma.f64 -1/4 (*.f64 x x) (*.f64 -139/5760 (pow.f64 x 6))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (cosh.f64 x)))) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) -1/2)) |
(fma.f64 (*.f64 x x) -1/2 1) |
(fma.f64 x (*.f64 x -1/2) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 5/24))) |
(+.f64 1 (fma.f64 (pow.f64 x 4) 5/24 (*.f64 x (*.f64 x -1/2)))) |
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) 5/24 1)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 5/24)))) |
(+.f64 (fma.f64 (*.f64 x x) -1/2 1) (fma.f64 (pow.f64 x 4) 5/24 (*.f64 (pow.f64 x 6) -61/720))) |
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (fma.f64 (pow.f64 x 6) -61/720 (*.f64 (pow.f64 x 4) 5/24))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) -1/2)) |
(fma.f64 (*.f64 x x) -1/2 1) |
(fma.f64 x (*.f64 x -1/2) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 5/24))) |
(+.f64 1 (fma.f64 (pow.f64 x 4) 5/24 (*.f64 x (*.f64 x -1/2)))) |
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) 5/24 1)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 5/24)))) |
(+.f64 (fma.f64 (*.f64 x x) -1/2 1) (fma.f64 (pow.f64 x 4) 5/24 (*.f64 (pow.f64 x 6) -61/720))) |
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (fma.f64 (pow.f64 x 6) -61/720 (*.f64 (pow.f64 x 4) 5/24))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))) 1) |
(/.f64 1 (sqrt.f64 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1/2) |
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 1) |
(/.f64 1 (sqrt.f64 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1/2) |
(*.f64 1 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) |
(/.f64 1 (sqrt.f64 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1/2) |
(*.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4)) |
(/.f64 1 (sqrt.f64 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1/2) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (/.f64 1 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 2) (pow.f64 (/.f64 1/2 (cosh.f64 x)) 1/2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (cosh.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))) |
(/.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (cosh.f64 x))) |
(/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (cbrt.f64 (cosh.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))) |
(/.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (cosh.f64 x))) |
(/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (cbrt.f64 (cosh.f64 x))) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) (sqrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))) |
(*.f64 (fabs.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))) |
(*.f64 (pow.f64 1 1/2) (/.f64 1 (sqrt.f64 (cosh.f64 x)))) |
(/.f64 1 (sqrt.f64 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1/2) |
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) (sqrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))) |
(*.f64 (fabs.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))) |
(/.f64 1 (sqrt.f64 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1/2) |
(/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 2) (/.f64 1 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (sqrt.f64 -2) (sqrt.f64 (*.f64 (cosh.f64 x) -2))) |
(/.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(*.f64 (sqrt.f64 2) (/.f64 1 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 1/2) |
(/.f64 1 (sqrt.f64 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1/2) |
(pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 1) |
(/.f64 1 (sqrt.f64 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1/2) |
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4) 2) |
(/.f64 1 (sqrt.f64 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1/2) |
(pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) 3) |
(/.f64 1 (sqrt.f64 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1/2) |
(pow.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1/4) |
(pow.f64 (pow.f64 (cosh.f64 x) -2) 1/4) |
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2)) |
(cbrt.f64 (pow.f64 (pow.f64 (cosh.f64 x) -1/2) 3)) |
(fabs.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) |
(/.f64 1 (sqrt.f64 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1/2) |
(log.f64 (exp.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))) |
(/.f64 1 (sqrt.f64 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1/2) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))))) |
(/.f64 1 (sqrt.f64 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1/2) |
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2)) |
(cbrt.f64 (pow.f64 (pow.f64 (cosh.f64 x) -1/2) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))) |
(/.f64 1 (sqrt.f64 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1/2) |
(exp.f64 (*.f64 1/2 (neg.f64 (log.f64 (cosh.f64 x))))) |
(/.f64 1 (sqrt.f64 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1/2) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1/2)) |
(/.f64 1 (sqrt.f64 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1/2) |
(exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log.f64 (cosh.f64 x)))) 1)) |
(/.f64 1 (sqrt.f64 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1/2) |
(log1p.f64 (expm1.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))) |
(/.f64 1 (sqrt.f64 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1/2) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 2 (/.f64 1/2 (cosh.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (/.f64 1 (cosh.f64 x)) 1) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 1 (sqrt.f64 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 1 (/.f64 1 (cosh.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4) (*.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4) (/.f64 1 (sqrt.f64 (cosh.f64 x))))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (/.f64 1 (sqrt.f64 (cosh.f64 x))))) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) 4) (cbrt.f64 (cosh.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) 4) (cbrt.f64 (cosh.f64 x))) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (/.f64 1/2 (cosh.f64 x)) 2) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 -2 (/.f64 1 (*.f64 (cosh.f64 x) -2))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4)) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) 4) (cbrt.f64 (cosh.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) 4) (cbrt.f64 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 1) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 2) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1/2) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(fabs.f64 (/.f64 1 (cosh.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x))))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log.f64 (cosh.f64 x)))) 2)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (*.f64 2 (cosh.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (neg.f64 (*.f64 (cosh.f64 x) -2))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 -2 (*.f64 (cosh.f64 x) -2)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 2)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (/.f64 1 (sqrt.f64 (cosh.f64 x))))) |
(/.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 2) (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (/.f64 1 (sqrt.f64 (cosh.f64 x))))) |
(/.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 2 (cosh.f64 x)) 2) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 -1 (neg.f64 (cosh.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (cosh.f64 x) -1) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 1) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 2) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1/2) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(fabs.f64 (/.f64 1 (cosh.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x))))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log.f64 (cosh.f64 x)))) 2)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) |
| ✓ | 0.0b | (*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) |
| 0.0b | (/.f64 2 (*.f64 2 (cosh.f64 x))) | |
| ✓ | 0.3b | (cbrt.f64 (*.f64 (*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
Compiled 69 to 47 computations (31.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) |
| 1.0ms | x | @ | -inf | (*.f64 (*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) |
| 1.0ms | x | @ | inf | (*.f64 (*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) |
| 1× | batch-egg-rewrite |
| 1416× | associate-*l/ |
| 1066× | associate-/r* |
| 880× | *-commutative |
| 680× | associate-/l* |
| 620× | unswap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 1 | 227 | 45 |
| 2 | 2782 | 45 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 (*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) |
(*.f64 (*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) |
| Outputs |
|---|
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(/.f64 1 (cosh.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))))))) |
| 1× | egg-herbie |
| 1362× | associate-/r* |
| 1146× | times-frac |
| 1058× | associate-*r/ |
| 1050× | associate-*r* |
| 978× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 877 | 14268 |
| 1 | 2222 | 13500 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4))))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2)))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6))))) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
1 |
(+.f64 1 (*.f64 -3/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) (*.f64 11/8 (pow.f64 x 4)))) |
(+.f64 (*.f64 -241/240 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) (*.f64 11/8 (pow.f64 x 4))))) |
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) |
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) |
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) |
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) |
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) |
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) |
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) |
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1) |
(*.f64 2 (/.f64 1/2 (cosh.f64 x))) |
(*.f64 (/.f64 1 (cosh.f64 x)) 1) |
(*.f64 (/.f64 1 (cosh.f64 x)) (pow.f64 1 1/3)) |
(*.f64 1 (/.f64 1 (cosh.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (/.f64 1 (cosh.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 1/2 (cosh.f64 x)) 2) |
(*.f64 -2 (/.f64 -1/2 (cosh.f64 x))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4))) (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))) |
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)))) |
(*.f64 1/2 (/.f64 2 (cosh.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (/.f64 2 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 -1/2 (cosh.f64 x)) -2) |
(*.f64 (pow.f64 1 1/3) (/.f64 1 (cosh.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) 1/3)) |
(*.f64 (/.f64 2 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 2)) |
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(/.f64 4 (/.f64 2 (/.f64 1/2 (cosh.f64 x)))) |
(/.f64 (/.f64 2 (cosh.f64 x)) 2) |
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(/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
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(/.f64 (/.f64 -2 (cosh.f64 x)) -2) |
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(/.f64 (*.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) 1) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) 1) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
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(/.f64 (*.f64 (cbrt.f64 4) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) 2) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) 2) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (*.f64 2 (cbrt.f64 (cosh.f64 x)))) |
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(/.f64 (/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (sqrt.f64 (cosh.f64 x)))) (sqrt.f64 (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 -2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (neg.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 -2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (neg.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 -2 (sqrt.f64 (*.f64 (cosh.f64 x) -2))) (sqrt.f64 (*.f64 (cosh.f64 x) -2))) |
(/.f64 (/.f64 -2 (*.f64 (cbrt.f64 (*.f64 (cosh.f64 x) -2)) (cbrt.f64 (*.f64 (cosh.f64 x) -2)))) (cbrt.f64 (*.f64 (cosh.f64 x) -2))) |
(/.f64 (/.f64 -2 (neg.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 -2 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) 1) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 2)) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) 1) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 2)) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 2)) (cbrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) 1) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
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(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) 1) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 2)) |
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 2)) (cbrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
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(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) 1) (cbrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cosh.f64 x)))) (sqrt.f64 (cbrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (cbrt.f64 (cosh.f64 x))))) (cbrt.f64 (cbrt.f64 (cosh.f64 x)))) |
(pow.f64 (cosh.f64 x) -1) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 1) |
(pow.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1/2) |
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3) |
(pow.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3) |
(sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))) |
(fabs.f64 (/.f64 1 (cosh.f64 x))) |
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x))))) |
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) |
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))) 1) |
(/.f64 2 (*.f64 (pow.f64 (cosh.f64 x) 2) 2)) |
(/.f64 2 (*.f64 1 (*.f64 (pow.f64 (cosh.f64 x) 2) 2))) |
(/.f64 (/.f64 1 (cosh.f64 x)) (cosh.f64 x)) |
(/.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (*.f64 (cosh.f64 x) (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (/.f64 (*.f64 2 (cosh.f64 x)) (/.f64 2 (sqrt.f64 (cosh.f64 x))))) |
(/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (/.f64 1 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2))) |
(/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 1 (cosh.f64 x))))) |
(/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (/.f64 (cosh.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (*.f64 (cosh.f64 x) (cbrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 1 (/.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (cosh.f64 x))))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (cosh.f64 x) (/.f64 1 (cbrt.f64 (cosh.f64 x))))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (*.f64 2 (cosh.f64 x)) (/.f64 2 (cbrt.f64 (cosh.f64 x))))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)) (/.f64 2 (*.f64 2 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)) (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))) |
(/.f64 4 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)) |
(/.f64 4 (/.f64 (*.f64 2 (cosh.f64 x)) (/.f64 1/2 (cosh.f64 x)))) |
(/.f64 4 (/.f64 1 (/.f64 1/4 (pow.f64 (cosh.f64 x) 2)))) |
(/.f64 4 (/.f64 1 (pow.f64 (/.f64 1/2 (cosh.f64 x)) 2))) |
(/.f64 8 (*.f64 2 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) |
(/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 2 (cosh.f64 x))) |
(/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) 2) |
(/.f64 (/.f64 1/2 (cosh.f64 x)) (/.f64 1 (/.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 1/2 (cosh.f64 x)) (/.f64 (cosh.f64 x) 2)) |
(/.f64 -2 (neg.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2))) |
(/.f64 -2 (/.f64 (cosh.f64 x) (/.f64 -1/2 (cosh.f64 x)))) |
(/.f64 -2 (*.f64 1 (neg.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2)))) |
(/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 (*.f64 2 (cosh.f64 x)) (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (*.f64 (cosh.f64 x) (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4))) (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))))) |
(/.f64 (sqrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (/.f64 2 (sqrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))))) |
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(/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (*.f64 (cosh.f64 x) (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)))) (/.f64 2 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))))) |
(/.f64 (/.f64 4 (pow.f64 (cosh.f64 x) 2)) 4) |
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cosh.f64 x)) (cbrt.f64 (cosh.f64 x))) |
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(/.f64 (/.f64 (/.f64 1/2 (cosh.f64 x)) (cosh.f64 x)) 1/2) |
(/.f64 (/.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (cosh.f64 x))) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) |
(/.f64 (/.f64 -2 (cosh.f64 x)) (*.f64 (cosh.f64 x) -2)) |
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(/.f64 (/.f64 4 (cosh.f64 x)) (*.f64 2 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 -2 (pow.f64 (cosh.f64 x) 2)) -2) |
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(/.f64 (pow.f64 1 1/3) (pow.f64 (cosh.f64 x) 2)) |
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(/.f64 (*.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) 1) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
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(/.f64 (*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
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(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (/.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (sqrt.f64 2))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 2 (/.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (*.f64 2 (cosh.f64 x))))) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) |
(/.f64 (*.f64 (/.f64 1 (cosh.f64 x)) (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 (cosh.f64 x)) (/.f64 2 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (sqrt.f64 (cosh.f64 x))) (*.f64 2 (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (*.f64 2 (cbrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 4 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (*.f64 (*.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 4 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (*.f64 (*.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 1 (cosh.f64 x)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) |
(/.f64 (/.f64 1 (*.f64 (cosh.f64 x) (sqrt.f64 (cosh.f64 x)))) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 1 (*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 4 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 2 (sqrt.f64 (cosh.f64 x)))) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 2 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 (/.f64 -2 (cosh.f64 x)) 2) (neg.f64 (cosh.f64 x))) |
(/.f64 (/.f64 (/.f64 -2 (cosh.f64 x)) 1) (*.f64 (cosh.f64 x) -2)) |
(/.f64 (/.f64 (/.f64 -2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (neg.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 -2 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (neg.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 -2 (cosh.f64 x)) (sqrt.f64 (*.f64 (cosh.f64 x) -2))) (sqrt.f64 (*.f64 (cosh.f64 x) -2))) |
(/.f64 (/.f64 (/.f64 -2 (cosh.f64 x)) (*.f64 (cbrt.f64 (*.f64 (cosh.f64 x) -2)) (cbrt.f64 (*.f64 (cosh.f64 x) -2)))) (cbrt.f64 (*.f64 (cosh.f64 x) -2))) |
(/.f64 (/.f64 (/.f64 -2 (cosh.f64 x)) -1) (*.f64 2 (cosh.f64 x))) |
(/.f64 (/.f64 (/.f64 -2 (cosh.f64 x)) (neg.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 -2 (cosh.f64 x)) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) 1) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 2)) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) 1) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 2)) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 2)) (cbrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 2) |
(pow.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1) |
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 2/3) |
(pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) 3) |
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 6) 1/3) |
(neg.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 (cosh.f64 x) -2))) |
(sqrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)) |
(log.f64 (exp.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 6)) |
(expm1.f64 (log1p.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))) |
(exp.f64 (neg.f64 (*.f64 2 (log.f64 (cosh.f64 x))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))) 1) |
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(/.f64 2 (/.f64 (*.f64 2 (cosh.f64 x)) (/.f64 1 (pow.f64 (cosh.f64 x) 2)))) |
(/.f64 2 (/.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4) (/.f64 2 (cosh.f64 x)))) |
(/.f64 2 (/.f64 (cosh.f64 x) (/.f64 (/.f64 1/2 (cosh.f64 x)) (cosh.f64 x)))) |
(/.f64 2 (/.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2) (/.f64 1 (cosh.f64 x)))) |
(/.f64 2 (*.f64 (cosh.f64 x) (*.f64 (pow.f64 (cosh.f64 x) 2) 2))) |
(/.f64 (/.f64 1 (cosh.f64 x)) (pow.f64 (cosh.f64 x) 2)) |
(/.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) (cosh.f64 x)) |
(/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1) |
(/.f64 1 (pow.f64 (cosh.f64 x) 3)) |
(/.f64 1 (/.f64 1 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))) |
(/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (/.f64 (cosh.f64 x) (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2))) |
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(/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 1 (cosh.f64 x))))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (cosh.f64 x) (/.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (cosh.f64 x))))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2) (/.f64 2 (cbrt.f64 (cosh.f64 x))))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)) (/.f64 (*.f64 2 (cosh.f64 x)) (*.f64 2 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)) (/.f64 (cosh.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))) |
(/.f64 4 (/.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 3) 2)) |
(/.f64 4 (*.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2) (*.f64 2 (cosh.f64 x)))) |
(/.f64 4 (/.f64 (cosh.f64 x) (/.f64 1/4 (pow.f64 (cosh.f64 x) 2)))) |
(/.f64 4 (/.f64 (cosh.f64 x) (pow.f64 (/.f64 1/2 (cosh.f64 x)) 2))) |
(/.f64 4 (/.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2) (/.f64 1/2 (cosh.f64 x)))) |
(/.f64 8 (pow.f64 (*.f64 2 (cosh.f64 x)) 3)) |
(/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 (pow.f64 (cosh.f64 x) 2) 2)) |
(/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (*.f64 2 (cosh.f64 x))) |
(/.f64 (/.f64 1/2 (cosh.f64 x)) (/.f64 (cosh.f64 x) (/.f64 2 (cosh.f64 x)))) |
(/.f64 -2 (/.f64 (*.f64 (cosh.f64 x) -2) (/.f64 1 (pow.f64 (cosh.f64 x) 2)))) |
(/.f64 -2 (/.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) -4) (/.f64 2 (cosh.f64 x)))) |
(/.f64 -2 (*.f64 (cosh.f64 x) (neg.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2)))) |
(/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2) (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(/.f64 (sqrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (/.f64 (*.f64 2 (cosh.f64 x)) (sqrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) (/.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2) (cbrt.f64 (/.f64 2 (cosh.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)))) (/.f64 (*.f64 2 (cosh.f64 x)) (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))))) |
(/.f64 (/.f64 4 (pow.f64 (cosh.f64 x) 2)) (*.f64 2 (*.f64 2 (cosh.f64 x)))) |
(/.f64 -8 (neg.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 3))) |
(/.f64 -8 (pow.f64 (*.f64 (cosh.f64 x) -2) 3)) |
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cosh.f64 x)) (/.f64 (cosh.f64 x) (/.f64 1 (cbrt.f64 (cosh.f64 x))))) |
(/.f64 (/.f64 2 (sqrt.f64 (cosh.f64 x))) (/.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2) (sqrt.f64 (/.f64 1 (cosh.f64 x))))) |
(/.f64 (*.f64 2 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (/.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2) (/.f64 1 (cbrt.f64 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (pow.f64 (cosh.f64 x) 2)) (cbrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 2) 1/2) |
(/.f64 (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (cosh.f64 x)) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) (cbrt.f64 (cosh.f64 x))) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) |
(/.f64 (*.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 2) 2) |
(/.f64 (/.f64 -2 (cosh.f64 x)) (neg.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2))) |
(/.f64 -4 (*.f64 (cosh.f64 x) (*.f64 (pow.f64 (cosh.f64 x) 2) -4))) |
(/.f64 -4 (*.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2) (*.f64 (cosh.f64 x) -2))) |
(/.f64 (/.f64 4 (cosh.f64 x)) (*.f64 (pow.f64 (cosh.f64 x) 2) 4)) |
(/.f64 (/.f64 -2 (pow.f64 (cosh.f64 x) 2)) (*.f64 (cosh.f64 x) -2)) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (*.f64 (cosh.f64 x) (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (*.f64 (cosh.f64 x) (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (/.f64 (cosh.f64 x) (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (sqrt.f64 2)))) |
(/.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (/.f64 (cosh.f64 x) (/.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (*.f64 2 (cosh.f64 x)))))) |
(/.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (sqrt.f64 2)) (/.f64 (cosh.f64 x) (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))) |
(/.f64 (/.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (/.f64 (cosh.f64 x) (/.f64 2 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))) |
(/.f64 (/.f64 -4 (cosh.f64 x)) (*.f64 (pow.f64 (cosh.f64 x) 2) -4)) |
(/.f64 (*.f64 -1 (/.f64 1 (pow.f64 (cosh.f64 x) 2))) (neg.f64 (cosh.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 1 (pow.f64 (cosh.f64 x) 2))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (/.f64 1 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (/.f64 1 (pow.f64 (cosh.f64 x) 2))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (/.f64 1 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (/.f64 -2 (cosh.f64 x)) (/.f64 1 (cosh.f64 x))) (*.f64 (cosh.f64 x) -2)) |
(/.f64 (*.f64 -4 (/.f64 1 (cosh.f64 x))) (*.f64 (pow.f64 (cosh.f64 x) 2) -4)) |
(/.f64 (*.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (/.f64 1 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (/.f64 1 (cosh.f64 x))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (/.f64 -2 (pow.f64 (cosh.f64 x) 2)) 1) (*.f64 (cosh.f64 x) -2)) |
(/.f64 (*.f64 (/.f64 4 (cosh.f64 x)) 1) (*.f64 (pow.f64 (cosh.f64 x) 2) 4)) |
(/.f64 (*.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) 1) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) 1) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (/.f64 -4 (cosh.f64 x)) 1) (*.f64 (pow.f64 (cosh.f64 x) 2) -4)) |
(/.f64 (*.f64 1 (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (cosh.f64 x))) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 -2) (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (cosh.f64 x))) (sqrt.f64 (*.f64 (cosh.f64 x) -2))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 4) (/.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 8 (/.f64 1/2 (cosh.f64 x))) (*.f64 (pow.f64 (cosh.f64 x) 2) 4)) |
(/.f64 (*.f64 (/.f64 4 (cosh.f64 x)) (/.f64 1/2 (cosh.f64 x))) (*.f64 2 (cosh.f64 x))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) (/.f64 2 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) |
(/.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) |
(/.f64 (/.f64 8 (*.f64 (*.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (*.f64 (*.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 4 (cosh.f64 x)) 1) (*.f64 (pow.f64 (cosh.f64 x) 2) 4)) |
(/.f64 (/.f64 (/.f64 4 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (*.f64 (*.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 4 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (*.f64 (*.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 1 (*.f64 (cosh.f64 x) (sqrt.f64 (cosh.f64 x)))) (*.f64 (cosh.f64 x) (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 (cosh.f64 x))) (*.f64 2 (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (*.f64 2 (cbrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (cosh.f64 x) 3))) (sqrt.f64 (pow.f64 (cosh.f64 x) 3))) |
(/.f64 (/.f64 1 (*.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cosh.f64 x) 2))) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 8 (sqrt.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 3))) (sqrt.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 3))) |
(/.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (*.f64 2 (sqrt.f64 (cosh.f64 x)))) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (*.f64 2 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 (/.f64 4 (cosh.f64 x)) (pow.f64 (cosh.f64 x) 2)) 4) |
(/.f64 (/.f64 (/.f64 4 (cosh.f64 x)) 4) (pow.f64 (cosh.f64 x) 2)) |
(/.f64 (/.f64 (/.f64 4 (cosh.f64 x)) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) |
(/.f64 (/.f64 (/.f64 -2 (pow.f64 (cosh.f64 x) 2)) 2) (neg.f64 (cosh.f64 x))) |
(/.f64 (/.f64 (/.f64 -2 (pow.f64 (cosh.f64 x) 2)) (cosh.f64 x)) -2) |
(/.f64 (/.f64 (/.f64 -2 (pow.f64 (cosh.f64 x) 2)) 1) (*.f64 (cosh.f64 x) -2)) |
(/.f64 (/.f64 (/.f64 -2 (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (neg.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 -2 (pow.f64 (cosh.f64 x) 2)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (neg.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 -2 (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 (*.f64 (cosh.f64 x) -2))) (sqrt.f64 (*.f64 (cosh.f64 x) -2))) |
(/.f64 (/.f64 (/.f64 -2 (pow.f64 (cosh.f64 x) 2)) (*.f64 (cbrt.f64 (*.f64 (cosh.f64 x) -2)) (cbrt.f64 (*.f64 (cosh.f64 x) -2)))) (cbrt.f64 (*.f64 (cosh.f64 x) -2))) |
(/.f64 (/.f64 (/.f64 -2 (pow.f64 (cosh.f64 x) 2)) -1) (*.f64 2 (cosh.f64 x))) |
(/.f64 (/.f64 (/.f64 -2 (pow.f64 (cosh.f64 x) 2)) (neg.f64 (cosh.f64 x))) 2) |
(/.f64 (/.f64 (/.f64 -2 (pow.f64 (cosh.f64 x) 2)) (neg.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 -2 (pow.f64 (cosh.f64 x) 2)) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) 1) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 2)) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) 1) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 2)) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 2)) (cbrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1) |
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) 2) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 3) 1/3) |
(neg.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (*.f64 (cosh.f64 x) -2))) |
(sqrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 6)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3)))) |
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 3)) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (*.f64 5/24 (pow.f64 x 4))))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2)))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 1 (neg.f64 (*.f64 x x)))) |
(fma.f64 2/3 (pow.f64 x 4) (-.f64 1 (*.f64 x x))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 6) -17/45)))) |
(+.f64 (fma.f64 2/3 (pow.f64 x 4) (-.f64 1 (*.f64 x x))) (*.f64 (pow.f64 x 6) -17/45)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) |
1 |
(+.f64 1 (*.f64 -3/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) -3/2)) |
(+.f64 1 (*.f64 x (*.f64 x -3/2))) |
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) (*.f64 11/8 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -3/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 11/8))) |
(+.f64 (*.f64 -241/240 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) (*.f64 11/8 (pow.f64 x 4))))) |
(fma.f64 -241/240 (pow.f64 x 6) (+.f64 1 (fma.f64 -3/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 11/8)))) |
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) |
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)) |
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) |
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)) |
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) |
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(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) |
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(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) |
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(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) |
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)) |
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) |
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(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) |
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 2 (/.f64 1/2 (cosh.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (/.f64 1 (cosh.f64 x)) 1) |
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(*.f64 (/.f64 1 (cosh.f64 x)) (pow.f64 1 1/3)) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 1 (/.f64 1 (cosh.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (/.f64 1 (cosh.f64 x)))) |
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(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) |
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(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4))) (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))) |
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(/.f64 1 (cosh.f64 x)) |
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(/.f64 (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
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(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2)) (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2))) |
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(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 2)) |
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(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 1 (cosh.f64 x)))) |
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(/.f64 (cbrt.f64 2) (*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (/.f64 1 (cbrt.f64 (cosh.f64 x))))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))))) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))) (*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))))) |
(/.f64 2 (*.f64 2 (cosh.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 (/.f64 1 (cosh.f64 x)) 1) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (/.f64 2 (/.f64 2 (sqrt.f64 (cosh.f64 x))))) |
(/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 1/2 (cosh.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (/.f64 1/2 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 1/2 (cosh.f64 x))) (/.f64 (sqrt.f64 2) (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (/.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 2 (/.f64 2 (cbrt.f64 (cosh.f64 x))))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 4 (*.f64 2 (*.f64 2 (cosh.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 4 (/.f64 2 (/.f64 1/2 (cosh.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 (/.f64 2 (cosh.f64 x)) 2) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 (/.f64 1/2 (cosh.f64 x)) 1/2) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 -2 (*.f64 (cosh.f64 x) -2)) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 -2 (/.f64 1 (/.f64 -1/2 (cosh.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 2 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) 2) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) 2)) |
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4))) (/.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4))) (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))) |
(/.f64 (sqrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))))) |
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))) |
(/.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (*.f64 (cosh.f64 x) -2)))) |
(/.f64 (/.f64 (sqrt.f64 -2) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (*.f64 (cosh.f64 x) -2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) (/.f64 2 (cbrt.f64 (/.f64 2 (cosh.f64 x))))) |
(/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 (/.f64 2 (cbrt.f64 (/.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (cosh.f64 x))))) |
(/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 (cosh.f64 x) -2))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 2 (sqrt.f64 (cosh.f64 x))) (*.f64 2 (sqrt.f64 (cosh.f64 x)))) |
(/.f64 2 (*.f64 (*.f64 2 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 2 (sqrt.f64 (cosh.f64 x))) (/.f64 2 (sqrt.f64 (/.f64 1 (cosh.f64 x))))) |
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (cosh.f64 x))) 2) (sqrt.f64 (/.f64 1 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (/.f64 1 (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (*.f64 2 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (/.f64 2 (/.f64 1 (cbrt.f64 (cosh.f64 x))))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 (/.f64 -2 (cosh.f64 x)) -2) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 -4 (*.f64 2 (*.f64 (cosh.f64 x) -2))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
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(/.f64 (/.f64 2 (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) |
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(/.f64 (pow.f64 1 1/3) (cosh.f64 x)) |
(/.f64 1 (cosh.f64 x)) |
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(/.f64 (*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) 1) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 (cosh.f64 x) -2))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) 1) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 (*.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) 1) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
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(/.f64 (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
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(/.f64 (*.f64 (cbrt.f64 -2) (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (*.f64 (cosh.f64 x) -2))) |
(/.f64 (/.f64 (*.f64 (cbrt.f64 -2) 1) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (*.f64 (cosh.f64 x) -2))) |
(/.f64 (/.f64 (cbrt.f64 -2) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (*.f64 (cosh.f64 x) -2))) |
(/.f64 (*.f64 (cbrt.f64 4) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) |
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(/.f64 (/.f64 (cbrt.f64 4) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) 2) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) 2) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
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(/.f64 1 (cosh.f64 x)) |
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(/.f64 1 (cosh.f64 x)) |
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(/.f64 1 (cosh.f64 x)) |
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(/.f64 1 (cosh.f64 x)) |
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(/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (*.f64 (cbrt.f64 2) (cbrt.f64 (cosh.f64 x)))) |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 (cosh.f64 x) -2))) (*.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 2))) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 2)) (cbrt.f64 (cosh.f64 x))) |
(/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (*.f64 (cbrt.f64 2) (cbrt.f64 (cosh.f64 x)))) |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 (cosh.f64 x) -2))) (*.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 2))) |
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(/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 (cosh.f64 x) -2))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
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(/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 (cosh.f64 x) -2))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
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(/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))) |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 (cosh.f64 x) -2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))))) |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 (cosh.f64 x) -2))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))))) |
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) 1) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 2)) |
(/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (*.f64 (sqrt.f64 2) (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (*.f64 (sqrt.f64 2) (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))) |
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))))) |
(/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))) |
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) 1) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 2 (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2))))) |
(/.f64 (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 2)) |
(/.f64 (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (*.f64 (cbrt.f64 2) (cbrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (*.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 2))) |
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 2)) (cbrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (*.f64 (cbrt.f64 2) (cbrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (*.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 2))) |
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(/.f64 2 (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2))))) |
(/.f64 (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 2 (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2))))) |
(/.f64 (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))) |
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))))) |
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) 1) (cbrt.f64 (cosh.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cosh.f64 x)))) (sqrt.f64 (cbrt.f64 (cosh.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (cosh.f64 x)))) |
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(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) |
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(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (cbrt.f64 (cosh.f64 x))))) (cbrt.f64 (cbrt.f64 (cosh.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (cosh.f64 x) -1) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 1) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1/2) |
(sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))) |
(sqrt.f64 (pow.f64 (cosh.f64 x) -2)) |
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) 2) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3) |
(/.f64 1 (cosh.f64 x)) |
(sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))) |
(sqrt.f64 (pow.f64 (cosh.f64 x) -2)) |
(fabs.f64 (/.f64 1 (cosh.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x))))) |
(/.f64 1 (cosh.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))) 1) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 2 (*.f64 (pow.f64 (cosh.f64 x) 2) 2)) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 2 (*.f64 1 (*.f64 (pow.f64 (cosh.f64 x) 2) 2))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 1 (cosh.f64 x)) (cosh.f64 x)) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (*.f64 (cosh.f64 x) (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (/.f64 (*.f64 2 (cosh.f64 x)) (/.f64 2 (sqrt.f64 (cosh.f64 x))))) |
(/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (*.f64 (cosh.f64 x) (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (/.f64 1 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2))) |
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(/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 1 (cosh.f64 x))))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (/.f64 (cosh.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (*.f64 (cosh.f64 x) (cbrt.f64 (cosh.f64 x)))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) |
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(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
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(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
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(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)) (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) |
(/.f64 4 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 4 (/.f64 (*.f64 2 (cosh.f64 x)) (/.f64 1/2 (cosh.f64 x)))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 4 (/.f64 1 (/.f64 1/4 (pow.f64 (cosh.f64 x) 2)))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 4 (/.f64 1 (pow.f64 (/.f64 1/2 (cosh.f64 x)) 2))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 8 (*.f64 2 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 2 (cosh.f64 x))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) 2) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 1/2 (cosh.f64 x)) (/.f64 1 (/.f64 2 (cosh.f64 x)))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 1/2 (cosh.f64 x)) (/.f64 (cosh.f64 x) 2)) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
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(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
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(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
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(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
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(*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (*.f64 2 (cosh.f64 x)))) |
(/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (*.f64 (cosh.f64 x) (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4))) (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))))) |
(*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4))) (cosh.f64 x)) (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))) |
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4))) (cosh.f64 x))) |
(/.f64 (sqrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (/.f64 2 (sqrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) 2) (sqrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)))) |
(*.f64 (sqrt.f64 (*.f64 2 (pow.f64 (cosh.f64 x) -2))) (/.f64 (sqrt.f64 (*.f64 2 (pow.f64 (cosh.f64 x) -2))) 2)) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) (/.f64 (*.f64 2 (cosh.f64 x)) (cbrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) (*.f64 2 (cosh.f64 x))) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (*.f64 (/.f64 2 (cbrt.f64 (/.f64 2 (cosh.f64 x)))) (cosh.f64 x))) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) |
(/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (*.f64 (cosh.f64 x) (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 (cosh.f64 x) -2))) (*.f64 (cosh.f64 x) (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)))) (/.f64 2 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 2 (pow.f64 (cosh.f64 x) -2))) (/.f64 2 (cbrt.f64 (*.f64 2 (pow.f64 (cosh.f64 x) -2))))) (cbrt.f64 (*.f64 2 (pow.f64 (cosh.f64 x) -2)))) |
(/.f64 (/.f64 4 (pow.f64 (cosh.f64 x) 2)) 4) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cosh.f64 x)) (cbrt.f64 (cosh.f64 x))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 2 (sqrt.f64 (cosh.f64 x))) (/.f64 (*.f64 2 (cosh.f64 x)) (sqrt.f64 (/.f64 1 (cosh.f64 x))))) |
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (cosh.f64 x))) (*.f64 2 (cosh.f64 x))) (sqrt.f64 (/.f64 1 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (/.f64 1 (*.f64 (cosh.f64 x) (sqrt.f64 (cosh.f64 x))))) |
(/.f64 (*.f64 2 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (/.f64 (*.f64 2 (cosh.f64 x)) (/.f64 1 (cbrt.f64 (cosh.f64 x))))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 (/.f64 1/2 (cosh.f64 x)) (cosh.f64 x)) 1/2) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (cosh.f64 x))) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 -2 (cosh.f64 x)) (*.f64 (cosh.f64 x) -2)) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 -4 (*.f64 (pow.f64 (cosh.f64 x) 2) -4)) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 4 (cosh.f64 x)) (*.f64 2 (*.f64 2 (cosh.f64 x)))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 -2 (pow.f64 (cosh.f64 x) 2)) -2) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2))))) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (/.f64 1 (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (sqrt.f64 2)))) |
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (sqrt.f64 2))) |
(/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (*.f64 (cosh.f64 x) (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (/.f64 1 (/.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (*.f64 2 (cosh.f64 x)))))) |
(/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2))))) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (*.f64 (cosh.f64 x) (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2))))) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 -1 (*.f64 (cosh.f64 x) (neg.f64 (cosh.f64 x)))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (sqrt.f64 2)) (/.f64 1 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))) |
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (sqrt.f64 2))) |
(/.f64 (/.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (/.f64 1 (/.f64 2 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))) |
(/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2))))) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (pow.f64 1 1/3) (pow.f64 (cosh.f64 x) 2)) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) 1/3) (/.f64 (cosh.f64 x) (pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) 1/3))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2)) (cosh.f64 x)) (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2)) (cosh.f64 x))) |
(/.f64 (*.f64 -1 (/.f64 1 (cosh.f64 x))) (neg.f64 (cosh.f64 x))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 1 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (*.f64 (cosh.f64 x) (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (/.f64 1 (cosh.f64 x))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (*.f64 (cosh.f64 x) (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 (cosh.f64 x) -2))) (*.f64 (cosh.f64 x) (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (*.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (/.f64 1 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (*.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (/.f64 1 (cosh.f64 x))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2))))) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (/.f64 -2 (cosh.f64 x)) 1) (*.f64 (cosh.f64 x) -2)) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (*.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) 1) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (*.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) 1) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2))))) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (sqrt.f64 2)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2)) |
(/.f64 (*.f64 (sqrt.f64 -2) (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2)) (sqrt.f64 (*.f64 (cosh.f64 x) -2))) |
(/.f64 (sqrt.f64 -2) (/.f64 (sqrt.f64 (*.f64 (cosh.f64 x) -2)) (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2))) |
(*.f64 (/.f64 (sqrt.f64 -2) (sqrt.f64 (*.f64 (cosh.f64 x) -2))) (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (sqrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (sqrt.f64 (/.f64 1 (cosh.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (pow.f64 (cosh.f64 x) -2))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 1 (cosh.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 4) (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4))) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)) (cbrt.f64 4)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) |
(*.f64 (/.f64 (cbrt.f64 4) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4))) |
(/.f64 (*.f64 (cbrt.f64 4) (/.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) |
(/.f64 (/.f64 (*.f64 (cbrt.f64 4) (/.f64 1 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) |
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(pow.f64 (cosh.f64 x) -2) |
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(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 2 (sqrt.f64 (cosh.f64 x)))) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 (*.f64 2 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))) |
(/.f64 1 (*.f64 (sqrt.f64 (cosh.f64 x)) (*.f64 (cosh.f64 x) (sqrt.f64 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 2 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (cosh.f64 x))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
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(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 (/.f64 -2 (cosh.f64 x)) 1) (*.f64 (cosh.f64 x) -2)) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
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(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
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(/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2))))) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
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(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 (/.f64 -2 (cosh.f64 x)) (*.f64 (cbrt.f64 (*.f64 (cosh.f64 x) -2)) (cbrt.f64 (*.f64 (cosh.f64 x) -2)))) (cbrt.f64 (*.f64 (cosh.f64 x) -2))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 (/.f64 -2 (cosh.f64 x)) -1) (*.f64 2 (cosh.f64 x))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
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(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 (/.f64 -2 (cosh.f64 x)) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2))))) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) 1) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 2)) |
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(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 2 (*.f64 (cosh.f64 x) (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 2 (*.f64 (cosh.f64 x) (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 2 (*.f64 (cosh.f64 x) (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 2 (*.f64 (cosh.f64 x) (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))))) |
(/.f64 (/.f64 (/.f64 2 (*.f64 (cosh.f64 x) (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2))))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) 1) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2))))) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 2)) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (*.f64 (cbrt.f64 2) (cbrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (*.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 2))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 2)) (cbrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (*.f64 (cbrt.f64 2) (cbrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (*.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 2))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2))))) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2))))) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 2) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(pow.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 2/3) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) 3) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 6) 1/3) |
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 6)) |
(neg.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 (cosh.f64 x) -2))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(sqrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)) |
(fabs.f64 (pow.f64 (cosh.f64 x) -2)) |
(log.f64 (exp.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 6)) |
(expm1.f64 (log1p.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(exp.f64 (neg.f64 (*.f64 2 (log.f64 (cosh.f64 x))))) |
(exp.f64 (*.f64 -2 (log.f64 (cosh.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (cosh.f64 x) -2) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))) 1) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 2 (*.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2) (cosh.f64 x))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 2 (/.f64 (*.f64 2 (cosh.f64 x)) (/.f64 1 (pow.f64 (cosh.f64 x) 2)))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 2 (/.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4) (/.f64 2 (cosh.f64 x)))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 2 (/.f64 (cosh.f64 x) (/.f64 (/.f64 1/2 (cosh.f64 x)) (cosh.f64 x)))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 2 (/.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2) (/.f64 1 (cosh.f64 x)))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 2 (*.f64 (cosh.f64 x) (*.f64 (pow.f64 (cosh.f64 x) 2) 2))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (/.f64 1 (cosh.f64 x)) (pow.f64 (cosh.f64 x) 2)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) (cosh.f64 x)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 1 (pow.f64 (cosh.f64 x) 3)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 1 (/.f64 1 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (/.f64 (cosh.f64 x) (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2))) |
(*.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (cosh.f64 x))) |
(/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (/.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2) (/.f64 2 (sqrt.f64 (cosh.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (*.f64 2 (pow.f64 (cosh.f64 x) 2))) (/.f64 2 (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (pow.f64 (cosh.f64 x) 2)) (/.f64 1 (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 1 (cosh.f64 x))))) |
(/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (/.f64 (cosh.f64 x) (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2))) |
(*.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (cosh.f64 x))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)) (*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (cosh.f64 x) (/.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (cosh.f64 x))))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2) (/.f64 2 (cbrt.f64 (cosh.f64 x))))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)) (/.f64 (*.f64 2 (cosh.f64 x)) (*.f64 2 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)) (*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)) (/.f64 (cosh.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4)) (*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) |
(/.f64 4 (/.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 3) 2)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 4 (*.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2) (*.f64 2 (cosh.f64 x)))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 4 (/.f64 (cosh.f64 x) (/.f64 1/4 (pow.f64 (cosh.f64 x) 2)))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 4 (/.f64 (cosh.f64 x) (pow.f64 (/.f64 1/2 (cosh.f64 x)) 2))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 4 (/.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2) (/.f64 1/2 (cosh.f64 x)))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 8 (pow.f64 (*.f64 2 (cosh.f64 x)) 3)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 (pow.f64 (cosh.f64 x) 2) 2)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (*.f64 2 (cosh.f64 x))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (/.f64 1/2 (cosh.f64 x)) (/.f64 (cosh.f64 x) (/.f64 2 (cosh.f64 x)))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 -2 (/.f64 (*.f64 (cosh.f64 x) -2) (/.f64 1 (pow.f64 (cosh.f64 x) 2)))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 -2 (/.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) -4) (/.f64 2 (cosh.f64 x)))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 -2 (*.f64 (cosh.f64 x) (neg.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2)))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2) (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (*.f64 2 (pow.f64 (cosh.f64 x) 2))) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 (cosh.f64 x) -2)))) |
(/.f64 (sqrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (/.f64 (*.f64 2 (cosh.f64 x)) (sqrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))))) |
(*.f64 (sqrt.f64 (*.f64 2 (pow.f64 (cosh.f64 x) -2))) (/.f64 (sqrt.f64 (*.f64 2 (pow.f64 (cosh.f64 x) -2))) (*.f64 2 (cosh.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) (/.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2) (cbrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) (*.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (*.f64 (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 (cosh.f64 x) -2)))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)))) (/.f64 (*.f64 2 (cosh.f64 x)) (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 2 (pow.f64 (cosh.f64 x) -2))) (*.f64 2 (/.f64 (cosh.f64 x) (cbrt.f64 (*.f64 2 (pow.f64 (cosh.f64 x) -2)))))) (cbrt.f64 (*.f64 2 (pow.f64 (cosh.f64 x) -2)))) |
(/.f64 (/.f64 4 (pow.f64 (cosh.f64 x) 2)) (*.f64 2 (*.f64 2 (cosh.f64 x)))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 -8 (neg.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 3))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 -8 (pow.f64 (*.f64 (cosh.f64 x) -2) 3)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cosh.f64 x)) (/.f64 (cosh.f64 x) (/.f64 1 (cbrt.f64 (cosh.f64 x))))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (/.f64 2 (sqrt.f64 (cosh.f64 x))) (/.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2) (sqrt.f64 (/.f64 1 (cosh.f64 x))))) |
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (cosh.f64 x))) (*.f64 2 (pow.f64 (cosh.f64 x) 2))) (sqrt.f64 (/.f64 1 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (/.f64 (pow.f64 (cosh.f64 x) -2) (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (*.f64 2 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (/.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2) (/.f64 1 (cbrt.f64 (cosh.f64 x))))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (pow.f64 (cosh.f64 x) 2)) (cbrt.f64 (cosh.f64 x))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 2) 1/2) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (cosh.f64 x)) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (*.f64 (cosh.f64 x) (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) (cbrt.f64 (cosh.f64 x))) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (*.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 2) 2) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (/.f64 -2 (cosh.f64 x)) (neg.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 -4 (*.f64 (cosh.f64 x) (*.f64 (pow.f64 (cosh.f64 x) 2) -4))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 -4 (*.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 2) (*.f64 (cosh.f64 x) -2))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (/.f64 4 (cosh.f64 x)) (*.f64 (pow.f64 (cosh.f64 x) 2) 4)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (/.f64 -2 (pow.f64 (cosh.f64 x) 2)) (*.f64 (cosh.f64 x) -2)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (*.f64 (cosh.f64 x) (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (*.f64 (cosh.f64 x) (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cosh.f64 x)) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (pow.f64 (cosh.f64 x) -2)) |
(/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (/.f64 (cosh.f64 x) (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (sqrt.f64 2)))) |
(/.f64 2 (*.f64 (/.f64 (cosh.f64 x) (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (sqrt.f64 2))) (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (/.f64 (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (sqrt.f64 2)) (cosh.f64 x))) |
(/.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (/.f64 (cosh.f64 x) (/.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (*.f64 2 (cosh.f64 x)))))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cosh.f64 x)) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (pow.f64 (cosh.f64 x) -2)) |
(/.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cosh.f64 x)) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (pow.f64 (cosh.f64 x) -2)) |
(/.f64 (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (sqrt.f64 2)) (/.f64 (cosh.f64 x) (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))) |
(/.f64 2 (*.f64 (/.f64 (cosh.f64 x) (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (sqrt.f64 2))) (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (/.f64 (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (sqrt.f64 2)) (cosh.f64 x))) |
(/.f64 (/.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (/.f64 (cosh.f64 x) (/.f64 2 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cosh.f64 x)) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (pow.f64 (cosh.f64 x) -2)) |
(/.f64 (/.f64 -4 (cosh.f64 x)) (*.f64 (pow.f64 (cosh.f64 x) 2) -4)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (*.f64 -1 (/.f64 1 (pow.f64 (cosh.f64 x) 2))) (neg.f64 (cosh.f64 x))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 1 (pow.f64 (cosh.f64 x) 2))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (*.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (pow.f64 (cosh.f64 x) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (/.f64 1 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (pow.f64 (cosh.f64 x) 2)) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 (cosh.f64 x) -2))) (*.f64 (pow.f64 (cosh.f64 x) 2) (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (*.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (/.f64 1 (pow.f64 (cosh.f64 x) 2))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (*.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (/.f64 1 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cosh.f64 x)) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (pow.f64 (cosh.f64 x) -2)) |
(/.f64 (*.f64 (/.f64 -2 (cosh.f64 x)) (/.f64 1 (cosh.f64 x))) (*.f64 (cosh.f64 x) -2)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (*.f64 -4 (/.f64 1 (cosh.f64 x))) (*.f64 (pow.f64 (cosh.f64 x) 2) -4)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (*.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (/.f64 1 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (*.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (/.f64 1 (cosh.f64 x))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cosh.f64 x)) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (pow.f64 (cosh.f64 x) -2)) |
(/.f64 (*.f64 (/.f64 -2 (pow.f64 (cosh.f64 x) 2)) 1) (*.f64 (cosh.f64 x) -2)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (*.f64 (/.f64 4 (cosh.f64 x)) 1) (*.f64 (pow.f64 (cosh.f64 x) 2) 4)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (*.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) 1) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (*.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) 1) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cosh.f64 x)) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (pow.f64 (cosh.f64 x) -2)) |
(/.f64 (*.f64 (/.f64 -4 (cosh.f64 x)) 1) (*.f64 (pow.f64 (cosh.f64 x) 2) -4)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(/.f64 (*.f64 1 (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (cosh.f64 x))) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (*.f64 (cosh.f64 x) (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (cosh.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 -2) (/.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) (cosh.f64 x))) (sqrt.f64 (*.f64 (cosh.f64 x) -2))) |
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(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) 2) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 3) 1/3) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(neg.f64 (/.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2)) (*.f64 (cosh.f64 x) -2))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(sqrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 6)) |
(fabs.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3)))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 3)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 3)) |
(pow.f64 (exp.f64 (neg.f64 (log.f64 (cosh.f64 x)))) 3) |
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) -3)) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 3) |
Compiled 19111 to 12999 computations (32% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1031 | 5 | 1036 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 3 | 4 |
| Total | 1033 | 9 | 1042 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2) |
| ▶ | 0.0b | (/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x))) |
| ▶ | 44.5b | (/.f64 (/.f64 2 x) x) |
| ✓ | 15.2b | (/.f64 2 (+.f64 2 (*.f64 x x))) |
| ▶ | 44.2b | (/.f64 2 (*.f64 x x)) |
| ✓ | 0.0b | (/.f64 1 (cosh.f64 x)) |
| ✓ | 33.7b | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| ▶ | 0.0b | (sqrt.f64 (pow.f64 (cosh.f64 x) -2)) |
| 33.3b | 1 |
Compiled 99 to 76 computations (23.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (pow.f64 (cosh.f64 x) -2)) |
| ✓ | 0.0b | (pow.f64 (cosh.f64 x) -2) |
Compiled 14 to 8 computations (42.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (sqrt.f64 (pow.f64 (cosh.f64 x) -2)) |
| 1.0ms | x | @ | -inf | (pow.f64 (cosh.f64 x) -2) |
| 1.0ms | x | @ | inf | (pow.f64 (cosh.f64 x) -2) |
| 0.0ms | x | @ | 0 | (pow.f64 (cosh.f64 x) -2) |
| 0.0ms | x | @ | inf | (sqrt.f64 (pow.f64 (cosh.f64 x) -2)) |
| 1× | batch-egg-rewrite |
| 1490× | add-sqr-sqrt |
| 1462× | *-un-lft-identity |
| 1366× | add-cube-cbrt |
| 1352× | add-cbrt-cube |
| 1340× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 22 |
| 1 | 166 | 22 |
| 2 | 1892 | 22 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cosh.f64 x) -2) |
(sqrt.f64 (pow.f64 (cosh.f64 x) -2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cosh.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cosh.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cosh.f64 x)) (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cosh.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cosh.f64 x) -1/2) (*.f64 (pow.f64 (cosh.f64 x) -1/2) (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (pow.f64 (cosh.f64 x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4)) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cosh.f64 x)) (pow.f64 (cosh.f64 x) -1/2)) (pow.f64 (cosh.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (cbrt.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -2) (pow.f64 (sqrt.f64 (cosh.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -2) (pow.f64 (cbrt.f64 (cosh.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cosh.f64 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cosh.f64 x) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log.f64 (cosh.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cosh.f64 x) -2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cosh.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cosh.f64 x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cosh.f64 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cosh.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1 (log.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cosh.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log.f64 (cosh.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1 (log.f64 (cosh.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x)))))))) |
| 1× | egg-herbie |
| 1708× | associate-*r/ |
| 1362× | times-frac |
| 850× | unswap-sqr |
| 734× | associate-/l/ |
| 666× | associate-/r* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 1888 |
| 1 | 306 | 1776 |
| 2 | 1015 | 1300 |
| 3 | 3508 | 1294 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2)))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6))))) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4))))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(-.f64 (+.f64 1 (pow.f64 (cosh.f64 x) -2)) 1) |
(*.f64 (pow.f64 (cosh.f64 x) -2) 1) |
(*.f64 (/.f64 1 (cosh.f64 x)) (/.f64 1 (cosh.f64 x))) |
(*.f64 1 (pow.f64 (cosh.f64 x) -2)) |
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (*.f64 (pow.f64 (cosh.f64 x) -1/2) (/.f64 1 (cosh.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (pow.f64 (cosh.f64 x) -4))) |
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (/.f64 1 (cosh.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4)) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) |
(*.f64 (*.f64 (/.f64 1 (cosh.f64 x)) (pow.f64 (cosh.f64 x) -1/2)) (pow.f64 (cosh.f64 x) -1/2)) |
(*.f64 (*.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (cbrt.f64 (/.f64 1 (cosh.f64 x)))) |
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -2) (pow.f64 (sqrt.f64 (cosh.f64 x)) -2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -2) (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)) |
(sqrt.f64 (pow.f64 (cosh.f64 x) -4)) |
(log.f64 (exp.f64 (pow.f64 (cosh.f64 x) -2))) |
(cbrt.f64 (pow.f64 (pow.f64 (cosh.f64 x) -2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -2))) |
(exp.f64 (*.f64 -2 (log.f64 (cosh.f64 x)))) |
(exp.f64 (*.f64 (*.f64 -2 (log.f64 (cosh.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (cosh.f64 x) -2))) |
(-.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 1) |
(*.f64 (/.f64 1 (cosh.f64 x)) 1) |
(*.f64 1 (/.f64 1 (cosh.f64 x))) |
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))) |
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1)) |
(*.f64 (pow.f64 1 1/2) (/.f64 1 (cosh.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) 1/2)) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (cosh.f64 x) -1) |
(pow.f64 (pow.f64 (cosh.f64 x) -2) 1/2) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 1) |
(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 3) |
(pow.f64 (pow.f64 (cosh.f64 x) -3) 1/3) |
(fabs.f64 (/.f64 1 (cosh.f64 x))) |
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) |
(cbrt.f64 (pow.f64 (cosh.f64 x) -3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) |
(exp.f64 (*.f64 -1 (log.f64 (cosh.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) -1)) |
(exp.f64 (*.f64 (*.f64 -2 (log.f64 (cosh.f64 x))) 1/2)) |
(exp.f64 (*.f64 (*.f64 -1 (log.f64 (cosh.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2)))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 1 (neg.f64 (*.f64 x x)))) |
(fma.f64 2/3 (pow.f64 x 4) (-.f64 1 (*.f64 x x))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 -17/45 (pow.f64 x 6))))) |
(+.f64 (fma.f64 2/3 (pow.f64 x 4) (-.f64 1 (*.f64 x x))) (*.f64 -17/45 (pow.f64 x 6))) |
(fma.f64 2/3 (pow.f64 x 4) (-.f64 (fma.f64 -17/45 (pow.f64 x 6) 1) (*.f64 x x))) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) |
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) |
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) -1/2)) |
(fma.f64 (*.f64 x x) -1/2 1) |
(fma.f64 x (*.f64 x -1/2) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 5/24))) |
(+.f64 1 (fma.f64 (pow.f64 x 4) 5/24 (*.f64 x (*.f64 x -1/2)))) |
(fma.f64 (pow.f64 x 4) 5/24 (fma.f64 x (*.f64 x -1/2) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 5/24)))) |
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (fma.f64 (pow.f64 x 4) 5/24 (*.f64 (pow.f64 x 6) -61/720)))) |
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) 5/24 (*.f64 (pow.f64 x 6) -61/720)))) |
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (fma.f64 (pow.f64 x 4) 5/24 (*.f64 (pow.f64 x 6) -61/720))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(-.f64 (+.f64 1 (pow.f64 (cosh.f64 x) -2)) 1) |
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -2) 1)) |
(+.f64 (pow.f64 (cosh.f64 x) -2) 0) |
(pow.f64 (cosh.f64 x) -2) |
(*.f64 (pow.f64 (cosh.f64 x) -2) 1) |
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -2) 1)) |
(+.f64 (pow.f64 (cosh.f64 x) -2) 0) |
(pow.f64 (cosh.f64 x) -2) |
(*.f64 (/.f64 1 (cosh.f64 x)) (/.f64 1 (cosh.f64 x))) |
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -2) 1)) |
(+.f64 (pow.f64 (cosh.f64 x) -2) 0) |
(pow.f64 (cosh.f64 x) -2) |
(*.f64 1 (pow.f64 (cosh.f64 x) -2)) |
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -2) 1)) |
(+.f64 (pow.f64 (cosh.f64 x) -2) 0) |
(pow.f64 (cosh.f64 x) -2) |
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (*.f64 (pow.f64 (cosh.f64 x) -1/2) (/.f64 1 (cosh.f64 x)))) |
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -2) 1)) |
(+.f64 (pow.f64 (cosh.f64 x) -2) 0) |
(pow.f64 (cosh.f64 x) -2) |
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (pow.f64 (cosh.f64 x) -4))) |
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (/.f64 1 (cosh.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (*.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 4)) |
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4)) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (pow.f64 (cosh.f64 x) -4))) |
(*.f64 (*.f64 (/.f64 1 (cosh.f64 x)) (pow.f64 (cosh.f64 x) -1/2)) (pow.f64 (cosh.f64 x) -1/2)) |
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -2) 1)) |
(+.f64 (pow.f64 (cosh.f64 x) -2) 0) |
(pow.f64 (cosh.f64 x) -2) |
(*.f64 (*.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (cbrt.f64 (/.f64 1 (cosh.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (*.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 4)) |
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -2) (pow.f64 (sqrt.f64 (cosh.f64 x)) -2)) |
(pow.f64 (sqrt.f64 (cosh.f64 x)) -4) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -2) (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)) |
(*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -4) (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)) |
(sqrt.f64 (pow.f64 (cosh.f64 x) -4)) |
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -2) 1)) |
(+.f64 (pow.f64 (cosh.f64 x) -2) 0) |
(pow.f64 (cosh.f64 x) -2) |
(log.f64 (exp.f64 (pow.f64 (cosh.f64 x) -2))) |
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -2) 1)) |
(+.f64 (pow.f64 (cosh.f64 x) -2) 0) |
(pow.f64 (cosh.f64 x) -2) |
(cbrt.f64 (pow.f64 (pow.f64 (cosh.f64 x) -2) 3)) |
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -2) 1)) |
(+.f64 (pow.f64 (cosh.f64 x) -2) 0) |
(pow.f64 (cosh.f64 x) -2) |
(expm1.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -2))) |
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -2) 1)) |
(+.f64 (pow.f64 (cosh.f64 x) -2) 0) |
(pow.f64 (cosh.f64 x) -2) |
(exp.f64 (*.f64 -2 (log.f64 (cosh.f64 x)))) |
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -2) 1)) |
(+.f64 (pow.f64 (cosh.f64 x) -2) 0) |
(pow.f64 (cosh.f64 x) -2) |
(exp.f64 (*.f64 (*.f64 -2 (log.f64 (cosh.f64 x))) 1)) |
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -2) 1)) |
(+.f64 (pow.f64 (cosh.f64 x) -2) 0) |
(pow.f64 (cosh.f64 x) -2) |
(log1p.f64 (expm1.f64 (pow.f64 (cosh.f64 x) -2))) |
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -2) 1)) |
(+.f64 (pow.f64 (cosh.f64 x) -2) 0) |
(pow.f64 (cosh.f64 x) -2) |
(-.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 1) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (/.f64 1 (cosh.f64 x)) 1) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 1 (/.f64 1 (cosh.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))) |
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1)) |
(pow.f64 (sqrt.f64 (cosh.f64 x)) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (cbrt.f64 (cosh.f64 x))) |
(*.f64 (pow.f64 1 1/2) (/.f64 1 (cosh.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) 1/2)) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(pow.f64 (cosh.f64 x) -1) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (pow.f64 (cosh.f64 x) -2) 1/2) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 1) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 3) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (pow.f64 (cosh.f64 x) -3) 1/3) |
(cbrt.f64 (pow.f64 (cosh.f64 x) -3)) |
(fabs.f64 (/.f64 1 (cosh.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(cbrt.f64 (pow.f64 (cosh.f64 x) -3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(exp.f64 (*.f64 -1 (log.f64 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) -1)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(exp.f64 (*.f64 (*.f64 -2 (log.f64 (cosh.f64 x))) 1/2)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(exp.f64 (*.f64 (*.f64 -1 (log.f64 (cosh.f64 x))) 1)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 2 (*.f64 x x)) |
Compiled 11 to 5 computations (54.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 2 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 2 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 2 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1198× | add-sqr-sqrt |
| 1176× | *-un-lft-identity |
| 1120× | pow1 |
| 1100× | add-cube-cbrt |
| 1092× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 128 | 13 |
| 2 | 1563 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1406× | distribute-rgt-in |
| 1398× | associate-/r* |
| 1372× | distribute-lft-in |
| 992× | associate-+r+ |
| 956× | associate-+l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 485 |
| 1 | 134 | 485 |
| 2 | 448 | 485 |
| 3 | 2605 | 485 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 2 (*.f64 x x)) 1) |
(*.f64 1 (/.f64 2 (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x)) |
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 2 (*.f64 x x)))) |
(*.f64 (/.f64 2 x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) 2) |
(*.f64 -2 (/.f64 1 (*.f64 x (neg.f64 x)))) |
(pow.f64 (/.f64 2 (*.f64 x x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 2) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3) 1/3) |
(pow.f64 (*.f64 (*.f64 x x) 1/2) -1) |
(sqrt.f64 (/.f64 4 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2))) |
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 2 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 x x)))) |
| Outputs |
|---|
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 (/.f64 2 (*.f64 x x)) 1) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 1 (/.f64 2 (*.f64 x x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 2 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) |
(*.f64 (/.f64 2 x) (/.f64 1 x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) 2) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 -2 (/.f64 1 (*.f64 x (neg.f64 x)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(pow.f64 (/.f64 2 (*.f64 x x)) 1) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 2) x) 2) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 3) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(pow.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3) 1/3) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(pow.f64 (*.f64 (*.f64 x x) 1/2) -1) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(sqrt.f64 (/.f64 4 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 x x)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(exp.f64 (log.f64 (/.f64 2 (*.f64 x x)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 x x)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (/.f64 2 x) x) |
Compiled 11 to 7 computations (36.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 2 x) x) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 2 x) x) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 2 x) x) |
| 1× | batch-egg-rewrite |
| 1378× | add-sqr-sqrt |
| 1356× | *-un-lft-identity |
| 1274× | add-cube-cbrt |
| 1260× | add-cbrt-cube |
| 1248× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 132 | 13 |
| 2 | 1713 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 2 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 x)) (*.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 2) (cbrt.f64 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 2 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 2 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) 1) (/.f64 (sqrt.f64 (/.f64 2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 2 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 2 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 2 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1518× | associate-+r+ |
| 1368× | associate-+l+ |
| 882× | distribute-rgt-in |
| 850× | distribute-lft-in |
| 736× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 744 |
| 1 | 255 | 726 |
| 2 | 879 | 726 |
| 3 | 3763 | 726 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1) |
(*.f64 2 (*.f64 (/.f64 1 x) (/.f64 1 x))) |
(*.f64 2 (/.f64 1 (*.f64 x x))) |
(*.f64 2 (/.f64 (/.f64 1 x) x)) |
(*.f64 (/.f64 2 x) (/.f64 1 x)) |
(*.f64 (/.f64 2 (*.f64 x x)) 1) |
(*.f64 1 (/.f64 2 (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 (/.f64 2 x)) (*.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 2) (cbrt.f64 (/.f64 2 (*.f64 x x)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (/.f64 2 x)) |
(*.f64 (/.f64 -2 x) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 2 x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 2 x) (cbrt.f64 x))) |
(*.f64 (/.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x))) |
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) 1) (/.f64 (sqrt.f64 (/.f64 2 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 2 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 x)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 2 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 2 (*.f64 x x)))) |
(pow.f64 (/.f64 2 (*.f64 x x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 2) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3) 1/3) |
(pow.f64 (/.f64 x (/.f64 2 x)) -1) |
(neg.f64 (/.f64 (/.f64 2 x) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 2)) |
(log.f64 (exp.f64 (/.f64 2 (*.f64 x x)))) |
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 2 (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 x x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 x x)))) |
| Outputs |
|---|
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (*.f64 (/.f64 1 x) (/.f64 1 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (/.f64 1 (*.f64 x x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 1 x) x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 (/.f64 2 x) (/.f64 1 x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 (/.f64 2 (*.f64 x x)) 1) |
(/.f64 2 (*.f64 x x)) |
(*.f64 1 (/.f64 2 (*.f64 x x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 (sqrt.f64 (/.f64 2 x)) (*.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 1 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 2) (cbrt.f64 (/.f64 2 (*.f64 x x)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 1 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 (/.f64 1 x) (/.f64 2 x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 (/.f64 -2 x) (/.f64 1 (neg.f64 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 2 x) (sqrt.f64 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 2 x) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 2 (*.f64 (cbrt.f64 x) x))) |
(/.f64 (/.f64 2 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 2 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 2 (*.f64 (cbrt.f64 x) x))) |
(/.f64 (/.f64 2 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 2 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) 1) (/.f64 (sqrt.f64 (/.f64 2 x)) x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 2 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 2 (*.f64 (cbrt.f64 x) x))) |
(/.f64 (/.f64 2 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 2 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 x)) x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 2 x)) (sqrt.f64 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 2 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 2 (*.f64 x x))))) |
(pow.f64 (/.f64 2 (*.f64 x x)) 1) |
(/.f64 2 (*.f64 x x)) |
(pow.f64 (/.f64 (sqrt.f64 2) x) 2) |
(/.f64 2 (*.f64 x x)) |
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 3) |
(/.f64 2 (*.f64 x x)) |
(pow.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3) 1/3) |
(/.f64 2 (*.f64 x x)) |
(pow.f64 (/.f64 x (/.f64 2 x)) -1) |
(/.f64 2 (*.f64 x x)) |
(neg.f64 (/.f64 (/.f64 2 x) (neg.f64 x))) |
(/.f64 2 (*.f64 x x)) |
(sqrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 2)) |
(/.f64 2 (*.f64 x x)) |
(log.f64 (exp.f64 (/.f64 2 (*.f64 x x)))) |
(/.f64 2 (*.f64 x x)) |
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3)) |
(/.f64 2 (*.f64 x x)) |
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 x x)))) |
(/.f64 2 (*.f64 x x)) |
(exp.f64 (log.f64 (/.f64 2 (*.f64 x x)))) |
(/.f64 2 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 x x))) 1)) |
(/.f64 2 (*.f64 x x)) |
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 x x)))) |
(/.f64 2 (*.f64 x x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2) |
| ✓ | 0.2b | (pow.f64 (cosh.f64 x) -1/2) |
Compiled 16 to 10 computations (37.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | x | @ | inf | (pow.f64 (cosh.f64 x) -1/2) |
| 21.0ms | x | @ | -inf | (pow.f64 (cosh.f64 x) -1/2) |
| 0.0ms | x | @ | 0 | (pow.f64 (cosh.f64 x) -1/2) |
| 0.0ms | x | @ | inf | (pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2) |
| 0.0ms | x | @ | -inf | (pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2) |
| 1× | batch-egg-rewrite |
| 1636× | add-sqr-sqrt |
| 1606× | *-un-lft-identity |
| 1500× | add-cube-cbrt |
| 1486× | add-cbrt-cube |
| 178× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 22 |
| 1 | 193 | 22 |
| 2 | 2144 | 22 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cosh.f64 x) -1/2) |
(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cosh.f64 x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cosh.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cosh.f64 x) -1/4) (pow.f64 (cosh.f64 x) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (cosh.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1/2) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1/2) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (cosh.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cosh.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cosh.f64 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cosh.f64 x) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (cosh.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cosh.f64 x) -1/2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cosh.f64 x) -1/4) (*.f64 (pow.f64 (cosh.f64 x) -1/4) (pow.f64 (cosh.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (pow.f64 (cosh.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/4)) (pow.f64 (cosh.f64 x) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cosh.f64 x) -1/2) (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cosh.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1 (log.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cosh.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1 (log.f64 (cosh.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x)))))))) |
| 1× | egg-herbie |
| 1362× | associate-/l* |
| 1342× | fma-def |
| 854× | associate-*r* |
| 732× | associate-*l* |
| 630× | associate-*r/ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 1667 |
| 1 | 256 | 1659 |
| 2 | 671 | 1309 |
| 3 | 2898 | 1295 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 7/96 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -139/5760 (pow.f64 x 6)) (*.f64 7/96 (pow.f64 x 4))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4))))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -1/2))) 1) |
(*.f64 (pow.f64 (cosh.f64 x) -1/2) 1) |
(*.f64 1 (pow.f64 (cosh.f64 x) -1/2)) |
(*.f64 (pow.f64 (cosh.f64 x) -1/4) (pow.f64 (cosh.f64 x) -1/4)) |
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (cbrt.f64 (/.f64 1 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))))) |
(*.f64 (pow.f64 1 -1/2) (pow.f64 (cosh.f64 x) -1/2)) |
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1/2) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1/2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1/2) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2)) |
(sqrt.f64 (/.f64 1 (cosh.f64 x))) |
(fabs.f64 (pow.f64 (cosh.f64 x) -1/2)) |
(log.f64 (exp.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cosh.f64 x) -1/2)))) |
(cbrt.f64 (pow.f64 (cosh.f64 x) -3/2)) |
(expm1.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(exp.f64 (*.f64 -1/2 (log.f64 (cosh.f64 x)))) |
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (cosh.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1) |
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2)) |
(*.f64 (/.f64 1 (cosh.f64 x)) 1) |
(*.f64 1 (/.f64 1 (cosh.f64 x))) |
(*.f64 (pow.f64 (cosh.f64 x) -1/4) (*.f64 (pow.f64 (cosh.f64 x) -1/4) (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) |
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x)))) |
(*.f64 (*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/4)) (pow.f64 (cosh.f64 x) -1/4)) |
(*.f64 (*.f64 (pow.f64 (cosh.f64 x) -1/2) (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1)) |
(/.f64 1 (cosh.f64 x)) |
(sqrt.f64 (pow.f64 (cosh.f64 x) -2)) |
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) |
(exp.f64 (*.f64 -1 (log.f64 (cosh.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) -1)) |
(exp.f64 (*.f64 (*.f64 -1 (log.f64 (cosh.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/4 (*.f64 x x))) |
(fma.f64 -1/4 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 7/96 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/4 (*.f64 x x) (*.f64 7/96 (pow.f64 x 4)))) |
(fma.f64 -1/4 (*.f64 x x) (fma.f64 7/96 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -139/5760 (pow.f64 x 6)) (*.f64 7/96 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/4 (*.f64 x x) (fma.f64 -139/5760 (pow.f64 x 6) (*.f64 7/96 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/4 (*.f64 x x) (fma.f64 7/96 (pow.f64 x 4) (*.f64 -139/5760 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -139/5760 (pow.f64 x 6) (*.f64 -1/4 (*.f64 x x))) (fma.f64 7/96 (pow.f64 x 4) 1)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 7/96) -1/4) (fma.f64 -139/5760 (pow.f64 x 6) 1)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2)) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) -1/2)) |
(fma.f64 (*.f64 x x) -1/2 1) |
(fma.f64 x (*.f64 x -1/2) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 5/24))) |
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (*.f64 (pow.f64 x 4) 5/24))) |
(fma.f64 (pow.f64 x 4) 5/24 (fma.f64 x (*.f64 x -1/2) 1)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 5/24)))) |
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (fma.f64 (pow.f64 x 4) 5/24 (*.f64 (pow.f64 x 6) -61/720)))) |
(+.f64 1 (fma.f64 (pow.f64 x 4) 5/24 (fma.f64 (pow.f64 x 6) -61/720 (*.f64 (*.f64 x x) -1/2)))) |
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) 5/24 (fma.f64 (pow.f64 x 6) -61/720 1))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -1/2))) 1) |
(pow.f64 (cosh.f64 x) -1/2) |
(*.f64 (pow.f64 (cosh.f64 x) -1/2) 1) |
(pow.f64 (cosh.f64 x) -1/2) |
(*.f64 1 (pow.f64 (cosh.f64 x) -1/2)) |
(pow.f64 (cosh.f64 x) -1/2) |
(*.f64 (pow.f64 (cosh.f64 x) -1/4) (pow.f64 (cosh.f64 x) -1/4)) |
(pow.f64 (cosh.f64 x) -1/2) |
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (cbrt.f64 (/.f64 1 (cosh.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))))) |
(*.f64 (pow.f64 1 -1/2) (pow.f64 (cosh.f64 x) -1/2)) |
(pow.f64 (cosh.f64 x) -1/2) |
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1/2) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1/2)) |
(/.f64 1 (sqrt.f64 (cosh.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1/2) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2)) |
(sqrt.f64 (/.f64 1 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1/2) |
(fabs.f64 (pow.f64 (cosh.f64 x) -1/2)) |
(pow.f64 (cosh.f64 x) -1/2) |
(log.f64 (exp.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(pow.f64 (cosh.f64 x) -1/2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cosh.f64 x) -1/2)))) |
(pow.f64 (cosh.f64 x) -1/2) |
(cbrt.f64 (pow.f64 (cosh.f64 x) -3/2)) |
(expm1.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(pow.f64 (cosh.f64 x) -1/2) |
(exp.f64 (*.f64 -1/2 (log.f64 (cosh.f64 x)))) |
(pow.f64 (cosh.f64 x) -1/2) |
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (cosh.f64 x))) 1)) |
(pow.f64 (cosh.f64 x) -1/2) |
(log1p.f64 (expm1.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(pow.f64 (cosh.f64 x) -1/2) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (/.f64 1 (cosh.f64 x)) 1) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 1 (/.f64 1 (cosh.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (pow.f64 (cosh.f64 x) -1/4) (*.f64 (pow.f64 (cosh.f64 x) -1/4) (pow.f64 (cosh.f64 x) -1/2))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) |
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (*.f64 (pow.f64 (cosh.f64 x) -1/2) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)))) |
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)))) |
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) |
(*.f64 (*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/4)) (pow.f64 (cosh.f64 x) -1/4)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (*.f64 (pow.f64 (cosh.f64 x) -1/2) (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (*.f64 (pow.f64 (cosh.f64 x) -1/2) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)))) |
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)))) |
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1)) |
(pow.f64 (sqrt.f64 (cosh.f64 x)) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) |
(/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (cbrt.f64 (cosh.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(sqrt.f64 (pow.f64 (cosh.f64 x) -2)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x))))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(exp.f64 (*.f64 -1 (log.f64 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) -1)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(exp.f64 (*.f64 (*.f64 -1 (log.f64 (cosh.f64 x))) 1)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x))) |
| ✓ | 0.0b | (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 2)) |
| ✓ | 0.2b | (sqrt.f64 (/.f64 2 (cosh.f64 x))) |
| ✓ | 0.2b | (sqrt.f64 (cosh.f64 x)) |
Compiled 39 to 24 computations (38.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (sqrt.f64 (/.f64 2 (cosh.f64 x))) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (/.f64 2 (cosh.f64 x))) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (/.f64 2 (cosh.f64 x))) |
| 0.0ms | x | @ | inf | (sqrt.f64 (cosh.f64 x)) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (cosh.f64 x)) |
| 1× | batch-egg-rewrite |
| 1054× | associate-/r/ |
| 1032× | associate-/l/ |
| 816× | swap-sqr |
| 500× | distribute-lft-neg-in |
| 448× | distribute-rgt-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 80 |
| 1 | 260 | 76 |
| 2 | 3500 | 46 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (cosh.f64 x)) |
(sqrt.f64 (/.f64 2 (cosh.f64 x))) |
(/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 2)) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (cosh.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (*.f64 1 (sqrt.f64 (*.f64 (cosh.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cosh.f64 x) 1/4) (pow.f64 (cosh.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cosh.f64 x) 1/4) (neg.f64 (neg.f64 (pow.f64 (cosh.f64 x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 (sqrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cosh.f64 x)) (neg.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) 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| 1× | egg-herbie |
| 1390× | associate-*r* |
| 1346× | times-frac |
| 1226× | associate-*l* |
| 952× | associate-/r* |
| 940× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 655 | 10440 |
| 1 | 1692 | 9840 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/4 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/96 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/96 (pow.f64 x 4)) (*.f64 19/5760 (pow.f64 x 6))))) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2)) |
(sqrt.f64 2) |
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 x 2))) (sqrt.f64 2)) |
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 x 2))) (+.f64 (*.f64 7/96 (*.f64 (sqrt.f64 2) (pow.f64 x 4))) (sqrt.f64 2))) |
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 x 2))) (+.f64 (*.f64 7/96 (*.f64 (sqrt.f64 2) (pow.f64 x 4))) (+.f64 (sqrt.f64 2) (*.f64 -139/5760 (*.f64 (sqrt.f64 2) (pow.f64 x 6)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (sqrt.f64 2) 2)) |
1 |
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 7/96 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -139/5760 (pow.f64 x 6)) (*.f64 7/96 (pow.f64 x 4))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4))))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (cosh.f64 x)))) 1) |
(*.f64 (sqrt.f64 (cosh.f64 x)) 1) |
(*.f64 (sqrt.f64 2) (*.f64 1 (sqrt.f64 (*.f64 (cosh.f64 x) 1/2)))) |
(*.f64 1 (sqrt.f64 (cosh.f64 x))) |
(*.f64 (pow.f64 (cosh.f64 x) 1/4) (pow.f64 (cosh.f64 x) 1/4)) |
(*.f64 (pow.f64 (cosh.f64 x) 1/4) (neg.f64 (neg.f64 (pow.f64 (cosh.f64 x) 1/4)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x))) |
(*.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (cbrt.f64 (cosh.f64 x)) (neg.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x)))))) |
(*.f64 (pow.f64 2 -1/2) (sqrt.f64 (*.f64 (cosh.f64 x) 2))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (cosh.f64 x)))) (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (cosh.f64 x)))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cosh.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (neg.f64 (sqrt.f64 (cosh.f64 x))))) (neg.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (cosh.f64 x)))))) |
(*.f64 (/.f64 (sqrt.f64 2) 1) (sqrt.f64 (*.f64 (cosh.f64 x) 1/2))) |
(*.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 2))) |
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x))) |
(*.f64 -1 (neg.f64 (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (neg.f64 (pow.f64 (cosh.f64 x) 1/4)) (neg.f64 (pow.f64 (cosh.f64 x) 1/4))) |
(*.f64 (neg.f64 (cbrt.f64 (cosh.f64 x))) (neg.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))))) |
(*.f64 (*.f64 1 (sqrt.f64 (*.f64 (cosh.f64 x) 1/2))) (sqrt.f64 2)) |
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4)) (/.f64 (sqrt.f64 2) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4))) |
(*.f64 (*.f64 1 (cbrt.f64 (*.f64 (cosh.f64 x) 1/2))) (/.f64 (sqrt.f64 2) (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))))) |
(*.f64 (/.f64 (pow.f64 2 1/4) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (pow.f64 2 1/4)) |
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4)) (/.f64 (pow.f64 2 1/4) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4))) |
(*.f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))))) |
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4))) |
(*.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (cosh.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (cosh.f64 x)) 1/2)) |
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) (neg.f64 (sqrt.f64 2))) |
(*.f64 (/.f64 (sqrt.f64 2) (pow.f64 2 1/4)) (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 2 1/4))) |
(*.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (sqrt.f64 2)))) |
(*.f64 (/.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -2)) (sqrt.f64 (neg.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) 1)) (sqrt.f64 (cosh.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (pow.f64 (cosh.f64 x) 1/4))) (pow.f64 (cosh.f64 x) 1/4)) |
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 2 -1/2))) (sqrt.f64 (cosh.f64 x))) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4))) (pow.f64 2 1/4)) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2))) |
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 2))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (sqrt.f64 2))) (sqrt.f64 (cosh.f64 x))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) 1) (sqrt.f64 (*.f64 (cosh.f64 x) 1/2))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 2))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (pow.f64 2 1/4)) (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 2 1/4))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (cbrt.f64 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (sqrt.f64 2)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (neg.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (sqrt.f64 -2)) (sqrt.f64 (neg.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 (sqrt.f64 2) 1)) (sqrt.f64 (cosh.f64 x))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 (sqrt.f64 2) (pow.f64 (cosh.f64 x) 1/4))) (pow.f64 (cosh.f64 x) 1/4)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 (sqrt.f64 2) (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4)) (pow.f64 2 1/4)) (pow.f64 (cosh.f64 x) 1/4)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (cosh.f64 x))))) (sqrt.f64 (neg.f64 (sqrt.f64 (cosh.f64 x))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (neg.f64 (sqrt.f64 (cosh.f64 x)))))) (cbrt.f64 (neg.f64 (sqrt.f64 (cosh.f64 x))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cosh.f64 x) 1/4))) (pow.f64 (cosh.f64 x) 1/4)) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (sqrt.f64 (cosh.f64 x)) 1) |
(/.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(/.f64 1 (pow.f64 (cosh.f64 x) -1/2)) |
(/.f64 (pow.f64 2 1/4) (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4))) |
(/.f64 (pow.f64 2 1/4) (*.f64 1 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4)))) |
(/.f64 (cbrt.f64 2) (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 2)))) |
(/.f64 (cbrt.f64 2) (*.f64 1 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 2))))) |
(/.f64 (sqrt.f64 (*.f64 (cosh.f64 x) 2)) (sqrt.f64 2)) |
(/.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (sqrt.f64 2) 1) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4)) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4)) |
(/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(pow.f64 (cosh.f64 x) 1/2) |
(pow.f64 (sqrt.f64 (cosh.f64 x)) 1) |
(pow.f64 (pow.f64 (cosh.f64 x) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) 3) |
(pow.f64 (pow.f64 (cosh.f64 x) 3/2) 1/3) |
(neg.f64 (neg.f64 (sqrt.f64 (cosh.f64 x)))) |
(fabs.f64 (sqrt.f64 (cosh.f64 x))) |
(log.f64 (exp.f64 (sqrt.f64 (cosh.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (cosh.f64 x))))) |
(cbrt.f64 (pow.f64 (cosh.f64 x) 3/2)) |
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (/.f64 2 (cosh.f64 x)) 3/2))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (cosh.f64 x)))) |
(exp.f64 (log.f64 (sqrt.f64 (cosh.f64 x)))) |
(exp.f64 (*.f64 1/2 (-.f64 (log.f64 2) (log.f64 (/.f64 2 (cosh.f64 x)))))) |
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cosh.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (cosh.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) 1) |
(*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) 1) |
(*.f64 (sqrt.f64 2) (pow.f64 (cosh.f64 x) -1/2)) |
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 2)) |
(*.f64 1 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (/.f64 (sqrt.f64 2) (pow.f64 (cosh.f64 x) 1/4))) |
(*.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4)) |
(*.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (neg.f64 (neg.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4)))) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (/.f64 (sqrt.f64 2) (cbrt.f64 (sqrt.f64 (cosh.f64 x))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (neg.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))))) (neg.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))))) |
(*.f64 -1 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4)) (neg.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4))) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x)))) (neg.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))))) |
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 (pow.f64 2 1/4) (sqrt.f64 (cosh.f64 x))) (pow.f64 2 1/4)) |
(*.f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 (cosh.f64 x))) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (sqrt.f64 (cosh.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cosh.f64 x) 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 (cosh.f64 x) 1/4))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) 1/2)) |
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 2))) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))))) (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4))) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4)) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) 1) |
(/.f64 (sqrt.f64 2) (sqrt.f64 (cosh.f64 x))) |
(/.f64 1 (sqrt.f64 (*.f64 (cosh.f64 x) 1/2))) |
(/.f64 1 (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 2))) |
(/.f64 1 (*.f64 1 (sqrt.f64 (*.f64 (cosh.f64 x) 1/2)))) |
(/.f64 (pow.f64 2 1/4) (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 2 1/4))) |
(/.f64 (pow.f64 2 1/4) (*.f64 1 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 2 1/4)))) |
(/.f64 (cbrt.f64 2) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (sqrt.f64 2)))) |
(/.f64 (cbrt.f64 2) (*.f64 1 (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (sqrt.f64 2))))) |
(/.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (cosh.f64 x)))) |
(/.f64 (sqrt.f64 -2) (*.f64 1 (sqrt.f64 (neg.f64 (cosh.f64 x))))) |
(/.f64 (/.f64 (sqrt.f64 2) 1) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cosh.f64 x) 1/4)) (pow.f64 (cosh.f64 x) 1/4)) |
(/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) |
(pow.f64 (/.f64 2 (cosh.f64 x)) 1/2) |
(pow.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) 1) |
(pow.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 3/2) 1/3) |
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(fabs.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(exp.f64 (log.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 2 (cosh.f64 x))) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -1/2))) 1) |
(*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 -1/2)) |
(*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (neg.f64 (/.f64 -1 (sqrt.f64 2)))) |
(*.f64 (pow.f64 (cosh.f64 x) -1/2) 1) |
(*.f64 1 (pow.f64 (cosh.f64 x) -1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (neg.f64 (/.f64 -1 (pow.f64 (cosh.f64 x) 1/4)))) |
(*.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (*.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (pow.f64 2 -1/2))) |
(*.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (sqrt.f64 2))) |
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (neg.f64 (/.f64 -1 (cbrt.f64 (sqrt.f64 (cosh.f64 x)))))) |
(*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (pow.f64 2 -1/2))) |
(*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (sqrt.f64 2))) |
(*.f64 (pow.f64 2 -1/2) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (/.f64 -1 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) (sqrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x))))) (neg.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))))) |
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4))) |
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 2)))) |
(*.f64 -1 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 -1 (pow.f64 (cosh.f64 x) 1/4)) (/.f64 -1 (pow.f64 (cosh.f64 x) 1/4))) |
(*.f64 (neg.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (/.f64 -1 (cbrt.f64 (sqrt.f64 (cosh.f64 x))))) |
(*.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (cosh.f64 x) 2))) (sqrt.f64 2)) |
(*.f64 (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (sqrt.f64 2)) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4)) |
(*.f64 (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (cbrt.f64 2)) (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (cbrt.f64 (sqrt.f64 2)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (pow.f64 2 1/4))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 2)) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4))) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4)) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (cbrt.f64 (/.f64 2 (cosh.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 2 -1/2)) (sqrt.f64 (*.f64 (cosh.f64 x) 2))) (sqrt.f64 2)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x))))) (sqrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x))))) |
(*.f64 (neg.f64 (/.f64 -1 (pow.f64 (cosh.f64 x) 1/4))) (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (neg.f64 (neg.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(pow.f64 (cosh.f64 x) -1/2) |
(pow.f64 (sqrt.f64 (cosh.f64 x)) -1) |
(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 1) |
(pow.f64 (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2)) 2) |
(pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) 3) |
(pow.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 3/2)) 1/3) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 1/2) |
(neg.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) |
(neg.f64 (/.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x))) 1)) |
(sqrt.f64 (/.f64 1 (cosh.f64 x))) |
(fabs.f64 (pow.f64 (cosh.f64 x) -1/2)) |
(log.f64 (exp.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cosh.f64 x) -1/2)))) |
(cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 3/2))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 3/2) (*.f64 2 (sqrt.f64 2)))) |
(expm1.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(exp.f64 (*.f64 -1/2 (log.f64 (cosh.f64 x)))) |
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (cosh.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1) |
(*.f64 (/.f64 2 (cosh.f64 x)) 1/2) |
(*.f64 (/.f64 2 (cosh.f64 x)) (*.f64 (pow.f64 2 -1/2) (pow.f64 2 -1/2))) |
(*.f64 (/.f64 2 (cosh.f64 x)) (*.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 -1 (sqrt.f64 2)))) |
(*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (*.f64 (pow.f64 2 -1/2) (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 1 (sqrt.f64 (*.f64 (cosh.f64 x) 2)))) |
(*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (*.f64 (*.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (pow.f64 2 -1/2)) (*.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (pow.f64 2 -1/2)))) |
(*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (*.f64 (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (sqrt.f64 2)) (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (sqrt.f64 2)))) |
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2)) |
(*.f64 1 (/.f64 1 (cosh.f64 x))) |
(*.f64 (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (/.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) 1/4))) |
(*.f64 (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (/.f64 (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (/.f64 (pow.f64 (cosh.f64 x) -1/2) (cbrt.f64 (sqrt.f64 (cosh.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) 2) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (pow.f64 2 -1/2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (pow.f64 2 -1/2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) 2) (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (sqrt.f64 2)) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (sqrt.f64 2)))) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) (*.f64 (/.f64 -1 (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) (/.f64 -1 (cbrt.f64 (sqrt.f64 (cosh.f64 x)))))) |
(*.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x))) (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 1 (cosh.f64 x)) 1) |
(*.f64 1/2 (/.f64 2 (cosh.f64 x))) |
(*.f64 (*.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2))) (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 2 -1/2)) (/.f64 2 (cosh.f64 x))) |
(*.f64 (*.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (pow.f64 2 -1/2)) |
(*.f64 (*.f64 (pow.f64 (cosh.f64 x) -1/2) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (/.f64 (sqrt.f64 2) (cosh.f64 x)) (pow.f64 2 -1/2)) |
(*.f64 (/.f64 1 (*.f64 (cosh.f64 x) 2)) 2) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (cosh.f64 x) 2))) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (sqrt.f64 (cosh.f64 x))) (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (sqrt.f64 2))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x))) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (sqrt.f64 2))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 (cosh.f64 x) 1/4)) (/.f64 (pow.f64 2 -1/2) (pow.f64 (cosh.f64 x) 1/4))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x))) (/.f64 (pow.f64 2 -1/2) (cbrt.f64 (sqrt.f64 (cosh.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (cbrt.f64 (cosh.f64 x))) (/.f64 (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (cbrt.f64 (sqrt.f64 (cosh.f64 x))))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 1) (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (pow.f64 (cosh.f64 x) 1/4)) (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (pow.f64 (cosh.f64 x) 1/4))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x))) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 -2 (cosh.f64 x))) -2) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (*.f64 (cosh.f64 x) 2))) (cbrt.f64 2)) |
(*.f64 (/.f64 -1 (*.f64 -2 (cosh.f64 x))) 2) |
(*.f64 (/.f64 2 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) 2) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 2)) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 2 1/4)) (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4))) |
(*.f64 (/.f64 (pow.f64 (cosh.f64 x) -1/2) (cbrt.f64 2)) (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 2)))) |
(*.f64 (/.f64 (pow.f64 (cosh.f64 x) -1/2) (neg.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cosh.f64 x) -1/2) (/.f64 (sqrt.f64 2) 1)) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cosh.f64 x) -1/2) (/.f64 (sqrt.f64 2) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4))) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4)) |
(*.f64 (/.f64 (pow.f64 (cosh.f64 x) -1/2) (/.f64 (sqrt.f64 2) (cbrt.f64 (/.f64 2 (cosh.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) 2) 2) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 (cbrt.f64 (cosh.f64 x))))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (sqrt.f64 (*.f64 (cosh.f64 x) 2))) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4)) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 (cosh.f64 x) 2))) (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 (*.f64 (cosh.f64 x) 2))) (sqrt.f64 2)) |
(*.f64 (*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 1 (pow.f64 2 1/4))) (*.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4)) (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4)))) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 1 (cbrt.f64 2))) (*.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 2))) (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 2))))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (cbrt.f64 2)) (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (cbrt.f64 2))) (*.f64 (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (cbrt.f64 (sqrt.f64 2))) (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (cbrt.f64 (sqrt.f64 2))))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4))) (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (pow.f64 2 1/4)))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 2)) (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 2))) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) |
(*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x))))) (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))))) (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))))) |
(*.f64 (*.f64 (neg.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (neg.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) |
(pow.f64 (cosh.f64 x) -1) |
(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 1) |
(neg.f64 (/.f64 -1 (cosh.f64 x))) |
(neg.f64 (*.f64 (/.f64 -1 (cosh.f64 x)) 1)) |
(neg.f64 (*.f64 1 (/.f64 -1 (cosh.f64 x)))) |
(neg.f64 (/.f64 (/.f64 2 (cosh.f64 x)) -2)) |
(neg.f64 (/.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))) |
(sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))) |
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) |
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 1/4 (pow.f64 x 2))) |
(+.f64 1 (*.f64 1/4 (*.f64 x x))) |
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/96 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 -1/96 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/96 (pow.f64 x 4)) (*.f64 19/5760 (pow.f64 x 6))))) |
(+.f64 1 (fma.f64 1/4 (*.f64 x x) (fma.f64 -1/96 (pow.f64 x 4) (*.f64 19/5760 (pow.f64 x 6))))) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sqrt.f64 1/2)) |
(sqrt.f64 2) |
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 x 2))) (sqrt.f64 2)) |
(fma.f64 -1/4 (*.f64 (*.f64 x x) (sqrt.f64 2)) (sqrt.f64 2)) |
(fma.f64 -1/4 (*.f64 x (*.f64 x (sqrt.f64 2))) (sqrt.f64 2)) |
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 x 2))) (+.f64 (*.f64 7/96 (*.f64 (sqrt.f64 2) (pow.f64 x 4))) (sqrt.f64 2))) |
(fma.f64 -1/4 (*.f64 (*.f64 x x) (sqrt.f64 2)) (fma.f64 7/96 (*.f64 (pow.f64 x 4) (sqrt.f64 2)) (sqrt.f64 2))) |
(fma.f64 -1/4 (*.f64 x (*.f64 x (sqrt.f64 2))) (fma.f64 7/96 (*.f64 (pow.f64 x 4) (sqrt.f64 2)) (sqrt.f64 2))) |
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 x 2))) (+.f64 (*.f64 7/96 (*.f64 (sqrt.f64 2) (pow.f64 x 4))) (+.f64 (sqrt.f64 2) (*.f64 -139/5760 (*.f64 (sqrt.f64 2) (pow.f64 x 6)))))) |
(fma.f64 -1/4 (*.f64 (*.f64 x x) (sqrt.f64 2)) (+.f64 (fma.f64 7/96 (*.f64 (pow.f64 x 4) (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 (*.f64 -139/5760 (sqrt.f64 2)) (pow.f64 x 6)))) |
(+.f64 (fma.f64 -1/4 (*.f64 x (*.f64 x (sqrt.f64 2))) (fma.f64 7/96 (*.f64 (pow.f64 x 4) (sqrt.f64 2)) (sqrt.f64 2))) (*.f64 (pow.f64 x 6) (*.f64 (sqrt.f64 2) -139/5760))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (pow.f64 (sqrt.f64 2) 2)) |
1 |
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) -1/4)) |
(+.f64 1 (*.f64 x (*.f64 x -1/4))) |
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 7/96 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/4 (*.f64 x x) (*.f64 (pow.f64 x 4) 7/96))) |
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -139/5760 (pow.f64 x 6)) (*.f64 7/96 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/4 (*.f64 x x) (fma.f64 -139/5760 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 7/96)))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) -1/2)) |
(+.f64 1 (*.f64 x (*.f64 x -1/2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 5/24))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 5/24)))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (cosh.f64 x)))) 1) |
(sqrt.f64 (cosh.f64 x)) |
(*.f64 (sqrt.f64 (cosh.f64 x)) 1) |
(sqrt.f64 (cosh.f64 x)) |
(*.f64 (sqrt.f64 2) (*.f64 1 (sqrt.f64 (*.f64 (cosh.f64 x) 1/2)))) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 1/2 (cosh.f64 x)))) |
(*.f64 1 (sqrt.f64 (cosh.f64 x))) |
(sqrt.f64 (cosh.f64 x)) |
(*.f64 (pow.f64 (cosh.f64 x) 1/4) (pow.f64 (cosh.f64 x) 1/4)) |
(sqrt.f64 (cosh.f64 x)) |
(*.f64 (pow.f64 (cosh.f64 x) 1/4) (neg.f64 (neg.f64 (pow.f64 (cosh.f64 x) 1/4)))) |
(sqrt.f64 (cosh.f64 x)) |
(*.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x))) |
(*.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x))) |
(*.f64 (cbrt.f64 (cosh.f64 x)) (neg.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x)))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x))) |
(*.f64 (pow.f64 2 -1/2) (sqrt.f64 (*.f64 (cosh.f64 x) 2))) |
(*.f64 (pow.f64 2 -1/2) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (cosh.f64 x)))) (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (cosh.f64 x)))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cosh.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (neg.f64 (sqrt.f64 (cosh.f64 x))))) (neg.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (cosh.f64 x)))))) |
(*.f64 (/.f64 (sqrt.f64 2) 1) (sqrt.f64 (*.f64 (cosh.f64 x) 1/2))) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 1/2 (cosh.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 2))) |
(sqrt.f64 (cosh.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x))) |
(sqrt.f64 (cosh.f64 x)) |
(*.f64 -1 (neg.f64 (sqrt.f64 (cosh.f64 x)))) |
(sqrt.f64 (cosh.f64 x)) |
(*.f64 (neg.f64 (pow.f64 (cosh.f64 x) 1/4)) (neg.f64 (pow.f64 (cosh.f64 x) 1/4))) |
(sqrt.f64 (cosh.f64 x)) |
(*.f64 (neg.f64 (cbrt.f64 (cosh.f64 x))) (neg.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x))) |
(*.f64 (*.f64 1 (sqrt.f64 (*.f64 (cosh.f64 x) 1/2))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 1/2 (cosh.f64 x)))) |
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 2 1/4) (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(/.f64 (pow.f64 2 1/2) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (cbrt.f64 2) (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4)) (/.f64 (sqrt.f64 2) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4))) |
(/.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (*.f64 1 (cbrt.f64 (*.f64 (cosh.f64 x) 1/2))) (/.f64 (sqrt.f64 2) (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))))) |
(*.f64 (cbrt.f64 (*.f64 1/2 (cosh.f64 x))) (/.f64 (sqrt.f64 2) (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))))) |
(*.f64 (/.f64 (pow.f64 2 1/4) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (pow.f64 2 1/4)) |
(*.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 2 1/4) (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(/.f64 (pow.f64 2 1/2) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4)) (/.f64 (pow.f64 2 1/4) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4))) |
(*.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 2 1/4) (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(/.f64 (pow.f64 2 1/2) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))))) |
(/.f64 (/.f64 (pow.f64 2 1/2) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4))) |
(*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (cbrt.f64 2) (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (cosh.f64 x))) |
(sqrt.f64 (cosh.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (cosh.f64 x)) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) (neg.f64 (sqrt.f64 2))) |
(*.f64 1 (/.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 2) (pow.f64 2 1/4)) (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 2 1/4))) |
(/.f64 (sqrt.f64 2) (/.f64 (pow.f64 2 1/2) (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (sqrt.f64 2)))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 2)) (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 2))) |
(*.f64 (/.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 (cosh.f64 x)))) |
(sqrt.f64 (cosh.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -2)) (sqrt.f64 (neg.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) 1)) (sqrt.f64 (cosh.f64 x))) |
(sqrt.f64 (cosh.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (pow.f64 (cosh.f64 x) 1/4))) (pow.f64 (cosh.f64 x) 1/4)) |
(sqrt.f64 (cosh.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x))) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 2 -1/2))) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (sqrt.f64 (cosh.f64 x)) (*.f64 (sqrt.f64 2) (pow.f64 2 -1/2))) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4))) (pow.f64 2 1/4)) |
(*.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 2 1/4) (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(/.f64 (pow.f64 2 1/2) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2))) |
(*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (cbrt.f64 2) (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 2))) |
(*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (cbrt.f64 2) (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (sqrt.f64 2))) (sqrt.f64 (cosh.f64 x))) |
(sqrt.f64 (cosh.f64 x)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x))) |
(sqrt.f64 (cosh.f64 x)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) 1) (sqrt.f64 (*.f64 (cosh.f64 x) 1/2))) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 1/2 (cosh.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 2))) |
(sqrt.f64 (cosh.f64 x)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (pow.f64 2 1/4)) (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 2 1/4))) |
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(/.f64 (pow.f64 2 1/2) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
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(pow.f64 (cosh.f64 x) 1/2) |
(sqrt.f64 (cosh.f64 x)) |
(pow.f64 (sqrt.f64 (cosh.f64 x)) 1) |
(sqrt.f64 (cosh.f64 x)) |
(pow.f64 (pow.f64 (cosh.f64 x) 1/4) 2) |
(sqrt.f64 (cosh.f64 x)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) 3) |
(sqrt.f64 (cosh.f64 x)) |
(pow.f64 (pow.f64 (cosh.f64 x) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (cosh.f64 x) 3/2)) |
(neg.f64 (neg.f64 (sqrt.f64 (cosh.f64 x)))) |
(sqrt.f64 (cosh.f64 x)) |
(fabs.f64 (sqrt.f64 (cosh.f64 x))) |
(log.f64 (exp.f64 (sqrt.f64 (cosh.f64 x)))) |
(sqrt.f64 (cosh.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (cosh.f64 x))))) |
(sqrt.f64 (cosh.f64 x)) |
(cbrt.f64 (pow.f64 (cosh.f64 x) 3/2)) |
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (/.f64 2 (cosh.f64 x)) 3/2))) |
(cbrt.f64 (/.f64 2 (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 3/2) (sqrt.f64 2)))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (cosh.f64 x)))) |
(sqrt.f64 (cosh.f64 x)) |
(exp.f64 (log.f64 (sqrt.f64 (cosh.f64 x)))) |
(sqrt.f64 (cosh.f64 x)) |
(exp.f64 (*.f64 1/2 (-.f64 (log.f64 2) (log.f64 (/.f64 2 (cosh.f64 x)))))) |
(pow.f64 (exp.f64 1/2) (-.f64 (log.f64 2) (log.f64 (/.f64 2 (cosh.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) 1/2)) |
(sqrt.f64 (cosh.f64 x)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cosh.f64 x))) 1)) |
(sqrt.f64 (cosh.f64 x)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (cosh.f64 x)))) |
(sqrt.f64 (cosh.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) 1) |
(sqrt.f64 (/.f64 2 (cosh.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) 1) |
(sqrt.f64 (/.f64 2 (cosh.f64 x))) |
(*.f64 (sqrt.f64 2) (pow.f64 (cosh.f64 x) -1/2)) |
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (pow.f64 (cosh.f64 x) -1/2)) |
(*.f64 1 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(sqrt.f64 (/.f64 2 (cosh.f64 x))) |
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(*.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4)) |
(sqrt.f64 (/.f64 2 (cosh.f64 x))) |
(*.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (neg.f64 (neg.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4)))) |
(sqrt.f64 (/.f64 2 (cosh.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (/.f64 (sqrt.f64 2) (cbrt.f64 (sqrt.f64 (cosh.f64 x))))) |
(/.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (neg.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))))) |
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(*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) (neg.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))))))) |
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(sqrt.f64 (/.f64 2 (cosh.f64 x))) |
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(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x)))) |
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(*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(sqrt.f64 (/.f64 2 (cosh.f64 x))) |
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(*.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))))) (neg.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4))) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4)) |
(sqrt.f64 (/.f64 2 (cosh.f64 x))) |
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(/.f64 1 (sqrt.f64 (*.f64 1/2 (cosh.f64 x)))) |
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(*.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 2 1/4) (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (pow.f64 2 1/2) (sqrt.f64 (cosh.f64 x))) |
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(*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x)))) |
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(*.f64 1 (/.f64 (sqrt.f64 2) (sqrt.f64 (cosh.f64 x)))) |
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(/.f64 (sqrt.f64 -2) (*.f64 1 (sqrt.f64 (neg.f64 (cosh.f64 x))))) |
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(/.f64 (/.f64 (sqrt.f64 2) 1) (sqrt.f64 (cosh.f64 x))) |
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(/.f64 (sqrt.f64 2) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (/.f64 (sqrt.f64 2) (cbrt.f64 (sqrt.f64 (cosh.f64 x))))) |
(/.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x)))) |
(pow.f64 (/.f64 2 (cosh.f64 x)) 1/2) |
(sqrt.f64 (/.f64 2 (cosh.f64 x))) |
(pow.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) 1) |
(sqrt.f64 (/.f64 2 (cosh.f64 x))) |
(pow.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) 2) |
(sqrt.f64 (/.f64 2 (cosh.f64 x))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) 3) |
(sqrt.f64 (/.f64 2 (cosh.f64 x))) |
(pow.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 3/2)) |
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(sqrt.f64 (/.f64 2 (cosh.f64 x))) |
(fabs.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(sqrt.f64 (/.f64 2 (cosh.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))))) |
(sqrt.f64 (/.f64 2 (cosh.f64 x))) |
(cbrt.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(sqrt.f64 (/.f64 2 (cosh.f64 x))) |
(exp.f64 (log.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(sqrt.f64 (/.f64 2 (cosh.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 2 (cosh.f64 x))) 1/2)) |
(sqrt.f64 (/.f64 2 (cosh.f64 x))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) 1)) |
(sqrt.f64 (/.f64 2 (cosh.f64 x))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(sqrt.f64 (/.f64 2 (cosh.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -1/2))) 1) |
(pow.f64 (cosh.f64 x) -1/2) |
(*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 -1/2)) |
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(*.f64 (pow.f64 (cosh.f64 x) -1/2) 1) |
(pow.f64 (cosh.f64 x) -1/2) |
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(pow.f64 (cosh.f64 x) -1/2) |
(*.f64 (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(pow.f64 (cosh.f64 x) -1/2) |
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(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (/.f64 1 (cbrt.f64 (sqrt.f64 (cosh.f64 x))))) |
(/.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
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(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (cosh.f64 x) 2))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (/.f64 1 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
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(/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 2)) |
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(/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2)) |
(/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (pow.f64 2 1/4))) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 2)) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
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(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (cbrt.f64 (/.f64 2 (cosh.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 2))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 2))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 2 -1/2)) (sqrt.f64 (*.f64 (cosh.f64 x) 2))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 2 -1/2)) (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 (sqrt.f64 2) 2)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x))))) (sqrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x))))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) (sqrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))))) |
(*.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x))))) |
(*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) (neg.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x))))))) |
(*.f64 (neg.f64 (/.f64 -1 (pow.f64 (cosh.f64 x) 1/4))) (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (/.f64 1 (pow.f64 (cosh.f64 x) 1/4))) |
(*.f64 (neg.f64 (neg.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (cbrt.f64 (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) -1/2) |
(pow.f64 (sqrt.f64 (cosh.f64 x)) -1) |
(/.f64 1 (sqrt.f64 (cosh.f64 x))) |
(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 1) |
(pow.f64 (cosh.f64 x) -1/2) |
(pow.f64 (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2)) 2) |
(pow.f64 (cosh.f64 x) -1/2) |
(pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) 3) |
(pow.f64 (cosh.f64 x) -1/2) |
(pow.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 3/2)) 1/3) |
(cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 3/2))) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 1/2) |
(sqrt.f64 (/.f64 1 (cosh.f64 x))) |
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(log.f64 (exp.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(pow.f64 (cosh.f64 x) -1/2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cosh.f64 x) -1/2)))) |
(pow.f64 (cosh.f64 x) -1/2) |
(cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 3/2))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 3/2) (*.f64 2 (sqrt.f64 2)))) |
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(pow.f64 (cosh.f64 x) -1/2) |
(exp.f64 (*.f64 -1/2 (log.f64 (cosh.f64 x)))) |
(pow.f64 (exp.f64 -1/2) (log.f64 (cosh.f64 x))) |
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (cosh.f64 x))) 1)) |
(pow.f64 (exp.f64 -1/2) (log.f64 (cosh.f64 x))) |
(log1p.f64 (expm1.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(pow.f64 (cosh.f64 x) -1/2) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1) |
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(*.f64 (/.f64 2 (cosh.f64 x)) 1/2) |
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(*.f64 (/.f64 2 (cosh.f64 x)) (*.f64 (pow.f64 2 -1/2) (pow.f64 2 -1/2))) |
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(*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (*.f64 (*.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (pow.f64 2 -1/2)) (*.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (pow.f64 2 -1/2)))) |
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(*.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1) 1/2) |
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(/.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 1)) |
(*.f64 (/.f64 1 (cosh.f64 x)) 1) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 1/2 (/.f64 2 (cosh.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (*.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2))) (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 2 -1/2)) (/.f64 2 (cosh.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (*.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (pow.f64 2 -1/2)) |
(*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (*.f64 (pow.f64 2 -1/2) (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (*.f64 (pow.f64 2 -1/2) (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (*.f64 (pow.f64 (cosh.f64 x) -1/2) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (*.f64 (pow.f64 (cosh.f64 x) -1/2) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)))) |
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (/.f64 (pow.f64 (cosh.f64 x) -1/2) (cbrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 2) (cosh.f64 x)) (pow.f64 2 -1/2)) |
(*.f64 (pow.f64 2 -1/2) (/.f64 (sqrt.f64 2) (cosh.f64 x))) |
(*.f64 (/.f64 1 (*.f64 (cosh.f64 x) 2)) 2) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (cosh.f64 x) 2))) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (sqrt.f64 (cosh.f64 x))) (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (sqrt.f64 2))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (*.f64 (sqrt.f64 2) (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x))) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (sqrt.f64 2))) |
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (sqrt.f64 2)) (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 (cosh.f64 x) 1/4)) (/.f64 (pow.f64 2 -1/2) (pow.f64 (cosh.f64 x) 1/4))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x))) (/.f64 (pow.f64 2 -1/2) (cbrt.f64 (sqrt.f64 (cosh.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(/.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 (cosh.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (cbrt.f64 (cosh.f64 x))) (/.f64 (sqrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (cbrt.f64 (sqrt.f64 (cosh.f64 x))))) |
(/.f64 (/.f64 (pow.f64 (cosh.f64 x) -1/2) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (pow.f64 (cosh.f64 x) -1/2) (*.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 1) (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (*.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (pow.f64 (cosh.f64 x) 1/4)) (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (pow.f64 (cosh.f64 x) 1/4))) |
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (*.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x))) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) |
(/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 3)) |
(*.f64 (/.f64 1 (*.f64 -2 (cosh.f64 x))) -2) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (*.f64 (cosh.f64 x) 2))) (cbrt.f64 2)) |
(*.f64 (cbrt.f64 2) (/.f64 1 (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))) |
(/.f64 (cbrt.f64 2) (*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (cbrt.f64 (*.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 -1 (*.f64 -2 (cosh.f64 x))) 2) |
(/.f64 1 (cosh.f64 x)) |
(*.f64 (/.f64 2 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x -2)))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
(*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) 2) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) 2)) |
(/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1) 2) |
(*.f64 (/.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 2)) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 2))) |
(*.f64 (/.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 2 1/4)) (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 2 1/4))) |
(/.f64 (pow.f64 (cosh.f64 x) -1/2) (/.f64 (pow.f64 2 1/2) (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cosh.f64 x) -1/2) (cbrt.f64 2)) (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 2)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 2))) (/.f64 (pow.f64 (cosh.f64 x) -1/2) (cbrt.f64 2))) |
(*.f64 (/.f64 (pow.f64 (cosh.f64 x) -1/2) (neg.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 2))) |
(*.f64 (/.f64 (pow.f64 (cosh.f64 x) -1/2) (/.f64 (sqrt.f64 2) 1)) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 2))) |
(*.f64 (/.f64 (pow.f64 (cosh.f64 x) -1/2) (/.f64 (sqrt.f64 2) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4))) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4)) |
(*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 2))) |
(*.f64 (/.f64 (pow.f64 (cosh.f64 x) -1/2) (/.f64 (sqrt.f64 2) (cbrt.f64 (/.f64 2 (cosh.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (*.f64 (/.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 2)) (cbrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) 2) 2) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) 2) 2)) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 (cbrt.f64 (cosh.f64 x))))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (*.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (sqrt.f64 (*.f64 (cosh.f64 x) 2))) (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4)) |
(/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))) |
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))) (sqrt.f64 (cosh.f64 x))) |
(/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (*.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 (cosh.f64 x) 2))) (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (/.f64 2 (cosh.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 (*.f64 (cosh.f64 x) 2))) (sqrt.f64 2)) |
(/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (cosh.f64 x) -1/2)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) |
(/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (pow.f64 (cosh.f64 x) -1/2))) |
(*.f64 (*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 1 (pow.f64 2 1/4))) (*.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4)) (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4)) (pow.f64 2 1/4))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/2)) (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/2))) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 1 (cbrt.f64 2))) (*.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 2))) (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 2))))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2)) (/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))) |
(/.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2)) (cbrt.f64 2)) |
(*.f64 (*.f64 (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (cbrt.f64 2)) (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (cbrt.f64 2))) (*.f64 (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (cbrt.f64 (sqrt.f64 2))) (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1/4) (cbrt.f64 (sqrt.f64 2))))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2)) (/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))) |
(/.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 1) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2)) (cbrt.f64 2)) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4))) (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (pow.f64 2 1/4)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4)) (*.f64 (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (pow.f64 2 1/4)) (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (pow.f64 2 1/4))))) |
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (pow.f64 2 1/4)) (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x)))) (pow.f64 2 1/4)) (/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) 2) (pow.f64 2 1/4)) (pow.f64 2 1/4)))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 2)) (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 2))) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (*.f64 (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 2)) (/.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 2)))) |
(/.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) 2) (cbrt.f64 2)) (cbrt.f64 2)) (cbrt.f64 (cosh.f64 x))) |
(*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x))))) (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))))) (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x))))) (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))))) (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x))))))) |
(*.f64 (*.f64 (neg.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (neg.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) |
(/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 3)) |
(pow.f64 (cosh.f64 x) -1) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3) |
(/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 3)) |
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3) |
(/.f64 1 (cosh.f64 x)) |
(pow.f64 (/.f64 1 (cosh.f64 x)) 1) |
(/.f64 1 (cosh.f64 x)) |
(neg.f64 (/.f64 -1 (cosh.f64 x))) |
(/.f64 1 (cosh.f64 x)) |
(neg.f64 (*.f64 (/.f64 -1 (cosh.f64 x)) 1)) |
(/.f64 1 (cosh.f64 x)) |
(neg.f64 (*.f64 1 (/.f64 -1 (cosh.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(neg.f64 (/.f64 (/.f64 2 (cosh.f64 x)) -2)) |
(/.f64 1 (cosh.f64 x)) |
(neg.f64 (/.f64 (/.f64 -1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))) |
(/.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x))) |
(/.f64 1 (pow.f64 (cosh.f64 x) 1)) |
(sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))) |
(sqrt.f64 (pow.f64 (cosh.f64 x) -2)) |
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x))))) |
(/.f64 1 (cosh.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3)) |
(/.f64 1 (cosh.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x)))) |
(/.f64 1 (cosh.f64 x)) |
Compiled 9905 to 6587 computations (33.5% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 663 | 3 | 666 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 7 | 7 |
| Total | 664 | 11 | 675 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2) |
| ✓ | 44.5b | (/.f64 (/.f64 2 x) x) |
| ✓ | 15.2b | (/.f64 2 (+.f64 2 (*.f64 x x))) |
| ✓ | 44.2b | (/.f64 2 (*.f64 x x)) |
| ✓ | 0.0b | (/.f64 1 (cosh.f64 x)) |
| ▶ | 30.9b | (-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1) |
| ✓ | 33.7b | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| ▶ | 0.5b | (*.f64 (/.f64 2 (cosh.f64 x)) (/.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2))) |
| ▶ | 44.5b | (*.f64 (/.f64 2 x) (/.f64 1 x)) |
| ✓ | 0.0b | (sqrt.f64 (pow.f64 (cosh.f64 x) -2)) |
| 33.3b | 1 |
Compiled 79 to 63 computations (20.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (/.f64 2 x) (/.f64 1 x)) |
Compiled 17 to 12 computations (29.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 2 x) (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 2 x) (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 2 x) (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1504× | add-sqr-sqrt |
| 1480× | *-un-lft-identity |
| 1386× | add-cube-cbrt |
| 1368× | add-cbrt-cube |
| 1352× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 170 | 13 |
| 2 | 1994 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 2 x) (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (neg.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 x 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 x (sqrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 x (cbrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (*.f64 x 1/2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 x) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) -2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (/.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2)))))))) |
| 1× | egg-herbie |
| 1148× | associate-/r/ |
| 954× | distribute-lft-in |
| 948× | distribute-rgt-in |
| 866× | associate-*r* |
| 678× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 628 |
| 1 | 212 | 628 |
| 2 | 676 | 628 |
| 3 | 3309 | 628 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(-.f64 (+.f64 1 (*.f64 2 (pow.f64 x -2))) 1) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (*.f64 (neg.f64 x) (neg.f64 x))) |
(/.f64 2 (/.f64 x (/.f64 1 x))) |
(/.f64 (/.f64 2 x) x) |
(/.f64 1 (/.f64 x (/.f64 2 x))) |
(/.f64 1 (*.f64 x (*.f64 x 1/2))) |
(/.f64 1 (/.f64 (*.f64 x x) 2)) |
(/.f64 1 (*.f64 (*.f64 x 1/2) x)) |
(/.f64 (/.f64 1 x) (*.f64 x 1/2)) |
(/.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 x (sqrt.f64 (/.f64 2 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 x (cbrt.f64 (/.f64 2 x)))) |
(/.f64 -2 (*.f64 x (neg.f64 x))) |
(/.f64 -2 (*.f64 (neg.f64 x) x)) |
(/.f64 -2 (neg.f64 (*.f64 x x))) |
(/.f64 -1 (*.f64 (*.f64 x 1/2) (neg.f64 x))) |
(/.f64 -1 (*.f64 (neg.f64 x) (*.f64 x 1/2))) |
(/.f64 (*.f64 (/.f64 2 x) -1) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 1 x) -2) (neg.f64 x)) |
(/.f64 (*.f64 -2 (/.f64 1 x)) (neg.f64 x)) |
(/.f64 (*.f64 -1 (/.f64 2 x)) (neg.f64 x)) |
(/.f64 (/.f64 (/.f64 2 x) 1) x) |
(/.f64 (/.f64 (/.f64 2 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (neg.f64 (/.f64 2 x)) (neg.f64 x)) |
(pow.f64 (*.f64 2 (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 2) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3) |
(pow.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 2)) |
(log.f64 (exp.f64 (*.f64 2 (pow.f64 x -2)))) |
(cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2)))) |
| Outputs |
|---|
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(-.f64 (+.f64 1 (*.f64 2 (pow.f64 x -2))) 1) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (*.f64 (neg.f64 x) (neg.f64 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (/.f64 x (/.f64 1 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 2 x) x) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 1 (/.f64 x (/.f64 2 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 1 (*.f64 x (*.f64 x 1/2))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 1 (/.f64 (*.f64 x x) 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 1 (*.f64 (*.f64 x 1/2) x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 1 x) (*.f64 x 1/2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 x (sqrt.f64 (/.f64 2 x)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 x (cbrt.f64 (/.f64 2 x)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 -2 (*.f64 x (neg.f64 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 -2 (*.f64 (neg.f64 x) x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 -2 (neg.f64 (*.f64 x x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 -1 (*.f64 (*.f64 x 1/2) (neg.f64 x))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 -1 (*.f64 (neg.f64 x) (*.f64 x 1/2))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (*.f64 (/.f64 2 x) -1) (neg.f64 x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (*.f64 (/.f64 1 x) -2) (neg.f64 x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (*.f64 -2 (/.f64 1 x)) (neg.f64 x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (*.f64 -1 (/.f64 2 x)) (neg.f64 x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 (/.f64 2 x) 1) x) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 (/.f64 2 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (/.f64 (/.f64 2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 (neg.f64 (/.f64 2 x)) (neg.f64 x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(pow.f64 (*.f64 2 (pow.f64 x -2)) 1) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 2) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(pow.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 3) 1/3) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(sqrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(log.f64 (exp.f64 (*.f64 2 (pow.f64 x -2)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 3)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) 1)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 2 (cosh.f64 x)) |
| ✓ | 1.0b | (/.f64 1 (sqrt.f64 2)) |
Compiled 35 to 29 computations (17.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 2 (cosh.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 2 (cosh.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 2 (cosh.f64 x)) |
| 1× | batch-egg-rewrite |
| 1824× | add-sqr-sqrt |
| 1800× | *-un-lft-identity |
| 1674× | add-cube-cbrt |
| 1658× | add-cbrt-cube |
| 192× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 22 |
| 1 | 206 | 16 |
| 2 | 2385 | 16 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (sqrt.f64 2)) |
(/.f64 2 (cosh.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (cbrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 2 1/4) -1) (pow.f64 (pow.f64 2 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 2) -1) (pow.f64 (cbrt.f64 (sqrt.f64 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) 1/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (sqrt.f64 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 1/2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (cosh.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 (/.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (/.f64 4 (pow.f64 (cosh.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (/.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cosh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cosh.f64 x) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (cosh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (cosh.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (cosh.f64 x)))))))) |
| 1× | egg-herbie |
| 1506× | associate-*r* |
| 1460× | associate-/r* |
| 1254× | associate-*l* |
| 912× | associate-+r+ |
| 896× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 1135 |
| 1 | 248 | 1115 |
| 2 | 868 | 709 |
| 3 | 4723 | 709 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 2 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 5/12 (pow.f64 x 4)))) |
(+.f64 (*.f64 -61/360 (pow.f64 x 6)) (+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 5/12 (pow.f64 x 4))))) |
(/.f64 4 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 4 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 4 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 4 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 4 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 4 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 4 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 4 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 1/2))) 1) |
(*.f64 1 (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 1/2) 1) |
(*.f64 (sqrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 1/2))) |
(*.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 1/2)) |
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (sqrt.f64 1/2))) |
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 2)))) |
(*.f64 (pow.f64 (pow.f64 2 1/4) -1) (pow.f64 (pow.f64 2 1/4) -1)) |
(*.f64 (pow.f64 (cbrt.f64 2) -1) (pow.f64 (cbrt.f64 (sqrt.f64 2)) -1)) |
(pow.f64 2 -1/2) |
(pow.f64 (sqrt.f64 2) -1) |
(pow.f64 (sqrt.f64 1/2) 1) |
(pow.f64 (sqrt.f64 (sqrt.f64 1/2)) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 1/2)) 3) |
(pow.f64 (*.f64 (sqrt.f64 1/2) 1/2) 1/3) |
(sqrt.f64 1/2) |
(log.f64 (exp.f64 (sqrt.f64 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 1/2)))) |
(cbrt.f64 (*.f64 (sqrt.f64 1/2) 1/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 1/2))) |
(exp.f64 (log.f64 (sqrt.f64 1/2))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) -1)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) 1)) |
(log1p.f64 (expm1.f64 (sqrt.f64 1/2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (cosh.f64 x)))) 1) |
(*.f64 1 (/.f64 2 (cosh.f64 x))) |
(*.f64 2 (/.f64 1 (cosh.f64 x))) |
(*.f64 (/.f64 2 (cosh.f64 x)) 1) |
(*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (/.f64 4 (pow.f64 (cosh.f64 x) 2)))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (/.f64 1 (cosh.f64 x)) 2) |
(*.f64 -2 (/.f64 1 (neg.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) 2) |
(pow.f64 (/.f64 2 (cosh.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 3) 1/3) |
(pow.f64 (*.f64 (cosh.f64 x) 1/2) -1) |
(sqrt.f64 (/.f64 4 (pow.f64 (cosh.f64 x) 2))) |
(log.f64 (exp.f64 (/.f64 2 (cosh.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (cosh.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 2 (cosh.f64 x)))) |
(exp.f64 (log.f64 (/.f64 2 (cosh.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 2 (cosh.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 2 (cosh.f64 x)))) |
| Outputs |
|---|
2 |
(+.f64 2 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 2 (neg.f64 (*.f64 x x))) |
(-.f64 2 (*.f64 x x)) |
(fma.f64 x (neg.f64 x) 2) |
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 5/12 (pow.f64 x 4)))) |
(+.f64 2 (fma.f64 -1 (*.f64 x x) (*.f64 5/12 (pow.f64 x 4)))) |
(+.f64 2 (-.f64 (*.f64 5/12 (pow.f64 x 4)) (*.f64 x x))) |
(-.f64 (fma.f64 5/12 (pow.f64 x 4) 2) (*.f64 x x)) |
(+.f64 (*.f64 -61/360 (pow.f64 x 6)) (+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 5/12 (pow.f64 x 4))))) |
(fma.f64 -61/360 (pow.f64 x 6) (+.f64 2 (fma.f64 -1 (*.f64 x x) (*.f64 5/12 (pow.f64 x 4))))) |
(+.f64 (-.f64 (*.f64 5/12 (pow.f64 x 4)) (*.f64 x x)) (fma.f64 -61/360 (pow.f64 x 6) 2)) |
(fma.f64 -61/360 (pow.f64 x 6) (-.f64 (fma.f64 5/12 (pow.f64 x 4) 2) (*.f64 x x))) |
(/.f64 4 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(/.f64 4 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(/.f64 4 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(/.f64 4 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(/.f64 4 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(/.f64 4 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(/.f64 4 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(/.f64 4 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 1/2))) 1) |
(sqrt.f64 1/2) |
(*.f64 1 (sqrt.f64 1/2)) |
(sqrt.f64 1/2) |
(*.f64 (sqrt.f64 1/2) 1) |
(sqrt.f64 1/2) |
(*.f64 (sqrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 1/2))) |
(sqrt.f64 1/2) |
(*.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 1/2)) |
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (sqrt.f64 1/2))) |
(*.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 1/2)) |
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 2)))) |
(/.f64 -1 (neg.f64 (sqrt.f64 2))) |
(/.f64 1 (sqrt.f64 2)) |
(*.f64 (pow.f64 (pow.f64 2 1/4) -1) (pow.f64 (pow.f64 2 1/4) -1)) |
(pow.f64 (pow.f64 2 1/4) -2) |
(*.f64 (pow.f64 (cbrt.f64 2) -1) (pow.f64 (cbrt.f64 (sqrt.f64 2)) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 1 (cbrt.f64 (sqrt.f64 2)))) |
(/.f64 (/.f64 1 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) |
(pow.f64 2 -1/2) |
(pow.f64 (sqrt.f64 2) -1) |
(/.f64 -1 (neg.f64 (sqrt.f64 2))) |
(/.f64 1 (sqrt.f64 2)) |
(pow.f64 (sqrt.f64 1/2) 1) |
(sqrt.f64 1/2) |
(pow.f64 (sqrt.f64 (sqrt.f64 1/2)) 2) |
(sqrt.f64 1/2) |
(pow.f64 (cbrt.f64 (sqrt.f64 1/2)) 3) |
(sqrt.f64 1/2) |
(pow.f64 (*.f64 (sqrt.f64 1/2) 1/2) 1/3) |
(cbrt.f64 (*.f64 1/2 (sqrt.f64 1/2))) |
(sqrt.f64 1/2) |
(log.f64 (exp.f64 (sqrt.f64 1/2))) |
(sqrt.f64 1/2) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 1/2)))) |
(sqrt.f64 1/2) |
(cbrt.f64 (*.f64 (sqrt.f64 1/2) 1/2)) |
(cbrt.f64 (*.f64 1/2 (sqrt.f64 1/2))) |
(expm1.f64 (log1p.f64 (sqrt.f64 1/2))) |
(sqrt.f64 1/2) |
(exp.f64 (log.f64 (sqrt.f64 1/2))) |
(sqrt.f64 1/2) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) -1)) |
(/.f64 -1 (neg.f64 (sqrt.f64 2))) |
(/.f64 1 (sqrt.f64 2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) 1)) |
(sqrt.f64 1/2) |
(log1p.f64 (expm1.f64 (sqrt.f64 1/2))) |
(sqrt.f64 1/2) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (cosh.f64 x)))) 1) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(*.f64 1 (/.f64 2 (cosh.f64 x))) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(*.f64 2 (/.f64 1 (cosh.f64 x))) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(*.f64 (/.f64 2 (cosh.f64 x)) 1) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 (/.f64 2 (cosh.f64 x)))) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (/.f64 4 (pow.f64 (cosh.f64 x) 2)))) |
(*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 2))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (/.f64 4 (pow.f64 (cosh.f64 x) 2)))) |
(*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 2))) |
(*.f64 (/.f64 1 (cosh.f64 x)) 2) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(*.f64 -2 (/.f64 1 (neg.f64 (cosh.f64 x)))) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) 2) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(pow.f64 (/.f64 2 (cosh.f64 x)) 1) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) 2) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) 3) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(pow.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 3) 1/3) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(pow.f64 (*.f64 (cosh.f64 x) 1/2) -1) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(sqrt.f64 (/.f64 4 (pow.f64 (cosh.f64 x) 2))) |
(sqrt.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 2 (cosh.f64 x)))) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (cosh.f64 x))))) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 2 (cosh.f64 x)) 3)) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 2 (cosh.f64 x)))) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(exp.f64 (log.f64 (/.f64 2 (cosh.f64 x)))) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 2 (cosh.f64 x))) 1)) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 2 (cosh.f64 x)))) |
(/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (cosh.f64 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (/.f64 2 (*.f64 x x)) | |
| ✓ | 0.7b | (-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1) |
Compiled 28 to 16 computations (42.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1) |
| 1× | batch-egg-rewrite |
| 1950× | add-sqr-sqrt |
| 1924× | *-un-lft-identity |
| 1812× | add-cube-cbrt |
| 1802× | add-cbrt-cube |
| 196× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 204 | 13 |
| 2 | 2779 | 13 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 2 (pow.f64 x -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (pow.f64 x -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2 (pow.f64 x -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2 (pow.f64 x -2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 2 (pow.f64 x -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 2 (pow.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (*.f64 2 (pow.f64 x -2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) 1) (-.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 2 (pow.f64 x -2)) 2) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (*.f64 2 (pow.f64 x -2)) 2)) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (*.f64 x x) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (neg.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1) (+.f64 (*.f64 2 (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1) (-.f64 (fma.f64 2 (pow.f64 x -2) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (*.f64 2 (pow.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (-.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) -1))) (-.f64 1 (fma.f64 2 (pow.f64 x -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) -1)) (fma.f64 2 (pow.f64 x -2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 2 (pow.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (*.f64 2 (pow.f64 x -2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 2 (pow.f64 x -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1)) -1))))) |
| 1× | egg-herbie |
| 1054× | associate-+r- |
| 902× | associate--l+ |
| 818× | associate-+l- |
| 728× | associate-*r* |
| 726× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 141 | 1740 |
| 1 | 338 | 1634 |
| 2 | 1037 | 1622 |
| 3 | 4978 | 1622 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (pow.f64 x 2)) |
(+.f64 1 (fma.f64 2 (pow.f64 x -2) -1)) |
(+.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) -1) 1)) |
(+.f64 (*.f64 2 (pow.f64 x -2)) 0) |
(+.f64 (fma.f64 2 (pow.f64 x -2) 1) -1) |
(+.f64 (fma.f64 2 (pow.f64 x -2) -1) 1) |
(+.f64 -1 (fma.f64 2 (pow.f64 x -2) 1)) |
(*.f64 1 (*.f64 2 (pow.f64 x -2))) |
(*.f64 2 (pow.f64 x -2)) |
(*.f64 (*.f64 2 (pow.f64 x -2)) 1) |
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x)) |
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 (/.f64 2 x) (/.f64 1 x)) |
(*.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 2 (pow.f64 x -2)) 2))) |
(*.f64 (pow.f64 x -2) 2) |
(*.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (*.f64 2 (pow.f64 x -2)) 2)))) |
(*.f64 -2 (/.f64 1 (*.f64 x (neg.f64 x)))) |
(*.f64 (+.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) 1) (-.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) 1)) |
(/.f64 1 (*.f64 (*.f64 x x) 1/2)) |
(/.f64 1 (/.f64 (+.f64 (*.f64 2 (pow.f64 x -2)) 2) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (*.f64 2 (pow.f64 x -2)) 2)) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 x x) 1/2) 1)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (neg.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 2 x) x) |
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1) (+.f64 (*.f64 2 (pow.f64 x -2)) 2)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1) (-.f64 (fma.f64 2 (pow.f64 x -2) 1) -1)) |
(/.f64 -1 (neg.f64 (*.f64 (*.f64 x x) 1/2))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (*.f64 2 (pow.f64 x -2)) 2))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (-.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1) -1)))) |
(/.f64 -2 (*.f64 x (neg.f64 x))) |
(/.f64 (/.f64 2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x))) |
(/.f64 (/.f64 (/.f64 2 x) 1) x) |
(/.f64 (/.f64 (/.f64 2 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 2 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(/.f64 (-.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) -1))) (-.f64 1 (fma.f64 2 (pow.f64 x -2) -1))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) -1)) (fma.f64 2 (pow.f64 x -2) -1)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 2 (pow.f64 x -2)) 2))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (*.f64 2 (pow.f64 x -2)) 2)))) |
(/.f64 (neg.f64 (/.f64 2 x)) (neg.f64 x)) |
(pow.f64 (*.f64 2 (pow.f64 x -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 2) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3) |
(pow.f64 (*.f64 (*.f64 x x) 1/2) -1) |
(pow.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) 1/3) |
(sqrt.f64 (/.f64 4 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2))))) |
(cbrt.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2)))) |
(fma.f64 1 (fma.f64 2 (pow.f64 x -2) 1) -1) |
(fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1)) -1) |
| Outputs |
|---|
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(+.f64 1 (fma.f64 2 (pow.f64 x -2) -1)) |
(/.f64 2 (*.f64 x x)) |
(+.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) -1) 1)) |
(/.f64 2 (*.f64 x x)) |
(+.f64 (*.f64 2 (pow.f64 x -2)) 0) |
(/.f64 2 (*.f64 x x)) |
(+.f64 (fma.f64 2 (pow.f64 x -2) 1) -1) |
(/.f64 2 (*.f64 x x)) |
(+.f64 (fma.f64 2 (pow.f64 x -2) -1) 1) |
(/.f64 2 (*.f64 x x)) |
(+.f64 -1 (fma.f64 2 (pow.f64 x -2) 1)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 1 (*.f64 2 (pow.f64 x -2))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x -2)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 (*.f64 2 (pow.f64 x -2)) 1) |
(/.f64 2 (*.f64 x x)) |
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) |
(*.f64 (/.f64 2 x) (/.f64 1 x)) |
(/.f64 2 (*.f64 x x)) |
(*.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 2 (pow.f64 x -2)) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2)) (/.f64 1 (fma.f64 2 (pow.f64 x -2) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2)) (fma.f64 2 (pow.f64 x -2) 2)) |
(*.f64 (pow.f64 x -2) 2) |
(/.f64 2 (*.f64 x x)) |
(*.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (*.f64 2 (pow.f64 x -2)) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (fma.f64 2 (pow.f64 x -2) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (fma.f64 2 (pow.f64 x -2) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (-.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1) (fma.f64 -2 (pow.f64 x -2) -2)))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (+.f64 -1 (*.f64 (fma.f64 -2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) 2)))) |
(*.f64 -2 (/.f64 1 (*.f64 x (neg.f64 x)))) |
(/.f64 2 (*.f64 x x)) |
(*.f64 (+.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) 1) (-.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) 1)) |
(*.f64 (+.f64 1 (hypot.f64 1 (/.f64 (sqrt.f64 2) x))) (+.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) -1)) |
(fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) -1) |
(/.f64 1 (*.f64 (*.f64 x x) 1/2)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 1 (/.f64 (+.f64 (*.f64 2 (pow.f64 x -2)) 2) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2)) (/.f64 1 (fma.f64 2 (pow.f64 x -2) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2)) (fma.f64 2 (pow.f64 x -2) 2)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (*.f64 2 (pow.f64 x -2)) 2)) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (fma.f64 2 (pow.f64 x -2) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (fma.f64 2 (pow.f64 x -2) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (-.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1) (fma.f64 -2 (pow.f64 x -2) -2)))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (+.f64 -1 (*.f64 (fma.f64 -2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) 2)))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 x x) 1/2) 1)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 2 (neg.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 2 (*.f64 x x)) |
(/.f64 (/.f64 2 x) x) |
(/.f64 2 (*.f64 x x)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1) (+.f64 (*.f64 2 (pow.f64 x -2)) 2)) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2)) (/.f64 1 (fma.f64 2 (pow.f64 x -2) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2)) (fma.f64 2 (pow.f64 x -2) 2)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1) (-.f64 (fma.f64 2 (pow.f64 x -2) 1) -1)) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2)) (/.f64 1 (fma.f64 2 (pow.f64 x -2) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2)) (fma.f64 2 (pow.f64 x -2) 2)) |
(/.f64 -1 (neg.f64 (*.f64 (*.f64 x x) 1/2))) |
(/.f64 2 (*.f64 x x)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (*.f64 2 (pow.f64 x -2)) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (fma.f64 2 (pow.f64 x -2) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (fma.f64 2 (pow.f64 x -2) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (-.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1) (fma.f64 -2 (pow.f64 x -2) -2)))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (+.f64 -1 (*.f64 (fma.f64 -2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) 2)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (-.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1) -1)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (fma.f64 2 (pow.f64 x -2) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (fma.f64 2 (pow.f64 x -2) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (-.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1) (fma.f64 -2 (pow.f64 x -2) -2)))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (+.f64 -1 (*.f64 (fma.f64 -2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) 2)))) |
(/.f64 -2 (*.f64 x (neg.f64 x))) |
(/.f64 2 (*.f64 x x)) |
(/.f64 (/.f64 2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x))) |
(/.f64 2 (*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)))) |
(/.f64 (/.f64 (/.f64 2 x) 1) x) |
(/.f64 2 (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 2 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 2 (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 2 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(/.f64 2 (*.f64 (cbrt.f64 x) (*.f64 x (cbrt.f64 (*.f64 x x))))) |
(/.f64 2 (*.f64 x (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))) |
(/.f64 2 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) x))) |
(/.f64 (-.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) -1))) (-.f64 1 (fma.f64 2 (pow.f64 x -2) -1))) |
(/.f64 (fma.f64 (fma.f64 2 (pow.f64 x -2) -1) (fma.f64 -2 (pow.f64 x -2) 1) 1) (+.f64 (/.f64 (/.f64 -2 x) x) 2)) |
(/.f64 (*.f64 (/.f64 2 (*.f64 x x)) (+.f64 2 (/.f64 -2 (*.f64 x x)))) (+.f64 2 (/.f64 -2 (*.f64 x x)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) -1)) (fma.f64 2 (pow.f64 x -2) -1)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) -1) 3)) (+.f64 1 (fma.f64 (fma.f64 2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) -1) (neg.f64 (fma.f64 2 (pow.f64 x -2) -1))))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) -1) 3)) (+.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) -1) (-.f64 (fma.f64 2 (pow.f64 x -2) -1) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) -1) 3)) (fma.f64 (fma.f64 2 (pow.f64 x -2) -1) (+.f64 (/.f64 2 (*.f64 x x)) -2) 1)) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) -1) 3)) (fma.f64 (fma.f64 2 (pow.f64 x -2) -1) (-.f64 -2 (/.f64 -2 (*.f64 x x))) 1)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 2 (pow.f64 x -2)) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2)) (/.f64 1 (fma.f64 2 (pow.f64 x -2) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2)) (fma.f64 2 (pow.f64 x -2) 2)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (*.f64 2 (pow.f64 x -2)) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (fma.f64 2 (pow.f64 x -2) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (fma.f64 2 (pow.f64 x -2) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (-.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1) (fma.f64 -2 (pow.f64 x -2) -2)))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (+.f64 -1 (*.f64 (fma.f64 -2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) 2)))) |
(/.f64 (neg.f64 (/.f64 2 x)) (neg.f64 x)) |
(/.f64 2 (*.f64 x x)) |
(pow.f64 (*.f64 2 (pow.f64 x -2)) 1) |
(/.f64 2 (*.f64 x x)) |
(pow.f64 (/.f64 (sqrt.f64 2) x) 2) |
(/.f64 2 (*.f64 x x)) |
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3) |
(/.f64 2 (*.f64 x x)) |
(pow.f64 (*.f64 (*.f64 x x) 1/2) -1) |
(/.f64 2 (*.f64 x x)) |
(pow.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) 1/3) |
(cbrt.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3))) |
(cbrt.f64 (/.f64 8 (pow.f64 x 6))) |
(sqrt.f64 (/.f64 4 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2))) |
(/.f64 2 (*.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2))))) |
(/.f64 2 (*.f64 x x)) |
(cbrt.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3))) |
(cbrt.f64 (/.f64 8 (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) |
(/.f64 2 (*.f64 x x)) |
(exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2)))) |
(/.f64 2 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) 1)) |
(/.f64 2 (*.f64 x x)) |
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2)))) |
(/.f64 2 (*.f64 x x)) |
(fma.f64 1 (fma.f64 2 (pow.f64 x -2) 1) -1) |
(/.f64 2 (*.f64 x x)) |
(fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) -1) |
(*.f64 (+.f64 1 (hypot.f64 1 (/.f64 (sqrt.f64 2) x))) (+.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) -1)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1)) -1) |
(/.f64 2 (*.f64 x x)) |
Compiled 2702 to 2190 computations (18.9% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 209 | 0 | 209 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 9 | 9 |
| Total | 209 | 11 | 220 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2) |
| ✓ | 44.5b | (/.f64 (/.f64 2 x) x) |
| ✓ | 15.2b | (/.f64 2 (+.f64 2 (*.f64 x x))) |
| ✓ | 44.2b | (/.f64 2 (*.f64 x x)) |
| ✓ | 0.0b | (/.f64 1 (cosh.f64 x)) |
| ✓ | 30.9b | (-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1) |
| ✓ | 33.7b | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| ✓ | 0.5b | (*.f64 (/.f64 2 (cosh.f64 x)) (/.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2))) |
| ✓ | 44.5b | (*.f64 (/.f64 2 x) (/.f64 1 x)) |
| ✓ | 0.0b | (sqrt.f64 (pow.f64 (cosh.f64 x) -2)) |
| 33.3b | 1 |
Compiled 79 to 63 computations (20.3% saved)
| Inputs |
|---|
1 |
(/.f64 2 (*.f64 x x)) |
(/.f64 (/.f64 2 x) x) |
(*.f64 (/.f64 2 x) (/.f64 1 x)) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(/.f64 2 (+.f64 2 (*.f64 x x))) |
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(sqrt.f64 (pow.f64 (cosh.f64 x) -2)) |
(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2) |
(*.f64 (/.f64 2 (cosh.f64 x)) (/.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2))) |
(*.f64 (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
(cbrt.f64 (*.f64 (*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) (/.f64 2 (*.f64 2 (cosh.f64 x))))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x))) |
| Outputs |
|---|
(sqrt.f64 (pow.f64 (cosh.f64 x) -2)) |
3 calls:
| 9.0ms | x |
| 3.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 2.0ms | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 0.0b | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 143 to 100 computations (30.1% saved)
| Inputs |
|---|
1 |
(/.f64 2 (*.f64 x x)) |
(/.f64 (/.f64 2 x) x) |
(*.f64 (/.f64 2 x) (/.f64 1 x)) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(/.f64 2 (+.f64 2 (*.f64 x x))) |
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1) |
(/.f64 1 (cosh.f64 x)) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 1 (cosh.f64 x)) |
3 calls:
| 9.0ms | x |
| 2.0ms | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 2.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 0.0b | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 72 to 49 computations (31.9% saved)
| Inputs |
|---|
1 |
(/.f64 2 (*.f64 x x)) |
(/.f64 (/.f64 2 x) x) |
(*.f64 (/.f64 2 x) (/.f64 1 x)) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(/.f64 2 (+.f64 2 (*.f64 x x))) |
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1) |
| Outputs |
|---|
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1) |
(/.f64 2 (+.f64 2 (*.f64 x x))) |
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1) |
1 calls:
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.9b | 3 | x |
Compiled 44 to 28 computations (36.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 82527.66635670199 | 19362865.89114695 |
| 20.0ms | -1.7923857515952243e+22 | -1325.2564582980676 |
| 29.0ms | 272× | body | 256 | valid |
Compiled 353 to 282 computations (20.1% saved)
| Inputs |
|---|
1 |
(/.f64 2 (*.f64 x x)) |
(/.f64 (/.f64 2 x) x) |
(*.f64 (/.f64 2 x) (/.f64 1 x)) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(/.f64 2 (+.f64 2 (*.f64 x x))) |
| Outputs |
|---|
(/.f64 2 (+.f64 2 (*.f64 x x))) |
1 calls:
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 15.2b | 1 | x |
Compiled 35 to 22 computations (37.1% saved)
| Inputs |
|---|
1 |
(/.f64 2 (*.f64 x x)) |
(/.f64 (/.f64 2 x) x) |
(*.f64 (/.f64 2 x) (/.f64 1 x)) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| Outputs |
|---|
(/.f64 2 (*.f64 x x)) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(/.f64 2 (*.f64 x x)) |
1 calls:
| 52.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 15.2b | 3 | x |
Compiled 28 to 18 computations (35.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.09110938849290268 | 118.35766975594565 |
| 13.0ms | -52.67516092151272 | -0.3829204534727672 |
| 24.0ms | 240× | body | 256 | valid |
Compiled 253 to 190 computations (24.9% saved)
Total -46.4b remaining (-297.5%)
Threshold costs -46.4b (-297.5%)
| Inputs |
|---|
1 |
(/.f64 2 (*.f64 x x)) |
(/.f64 (/.f64 2 x) x) |
(*.f64 (/.f64 2 x) (/.f64 1 x)) |
| Outputs |
|---|
(/.f64 2 (*.f64 x x)) |
1 |
(/.f64 2 (*.f64 x x)) |
1 calls:
| 51.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 15.6b | 3 | x |
Compiled 21 to 14 computations (33.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.09110938849290268 | 118.35766975594565 |
| 12.0ms | -52.67516092151272 | -0.3829204534727672 |
| 24.0ms | 240× | body | 256 | valid |
Compiled 163 to 130 computations (20.2% saved)
| 1× | egg-herbie |
| 8× | +-commutative |
| 6× | if-if-or-not |
| 2× | sub-neg |
| 2× | 1-exp |
| 2× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 211 |
| 1 | 61 | 211 |
| 2 | 62 | 211 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (pow.f64 (cosh.f64 x) -2)) |
(/.f64 1 (cosh.f64 x)) |
(if (<=.f64 x -2500000) (-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1) (if (<=.f64 x 4100000) (/.f64 2 (+.f64 2 (*.f64 x x))) (-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1))) |
(/.f64 2 (+.f64 2 (*.f64 x x))) |
(if (<=.f64 x -5404319552844595/4503599627370496) (/.f64 2 (*.f64 x x)) (if (<=.f64 x 5/4) (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (/.f64 2 (*.f64 x x)))) |
(if (<=.f64 x -3152519739159347/2251799813685248) (/.f64 2 (*.f64 x x)) (if (<=.f64 x 3152519739159347/2251799813685248) 1 (/.f64 2 (*.f64 x x)))) |
1 |
| Outputs |
|---|
(sqrt.f64 (pow.f64 (cosh.f64 x) -2)) |
(/.f64 1 (cosh.f64 x)) |
(if (<=.f64 x -2500000) (-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1) (if (<=.f64 x 4100000) (/.f64 2 (+.f64 2 (*.f64 x x))) (-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1))) |
(if (or (<=.f64 x -2500000) (not (<=.f64 x 4100000))) (+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) -1) (/.f64 2 (+.f64 2 (*.f64 x x)))) |
(/.f64 2 (+.f64 2 (*.f64 x x))) |
(if (<=.f64 x -5404319552844595/4503599627370496) (/.f64 2 (*.f64 x x)) (if (<=.f64 x 5/4) (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (/.f64 2 (*.f64 x x)))) |
(if (or (<=.f64 x -5404319552844595/4503599627370496) (not (<=.f64 x 5/4))) (/.f64 2 (*.f64 x x)) (+.f64 1 (*.f64 (*.f64 x x) -1/2))) |
(if (<=.f64 x -3152519739159347/2251799813685248) (/.f64 2 (*.f64 x x)) (if (<=.f64 x 3152519739159347/2251799813685248) 1 (/.f64 2 (*.f64 x x)))) |
(if (or (<=.f64 x -3152519739159347/2251799813685248) (not (<=.f64 x 3152519739159347/2251799813685248))) (/.f64 2 (*.f64 x x)) 1) |
1 |
Compiled 85 to 63 computations (25.9% saved)
| 1× | egg-herbie |
| 1420× | associate-*r* |
| 1162× | associate-+r+ |
| 996× | associate-*l* |
| 988× | associate-+l+ |
| 846× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 998 |
| 1 | 227 | 966 |
| 2 | 902 | 692 |
| 3 | 5000 | 692 |
| 1× | node limit |
Compiled 53 to 27 computations (49.1% saved)
Compiled 79 to 53 computations (32.9% saved)
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