Time bar (total: 5.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 28.6% | 25% | 62.5% | 0% | 0% | 0% | 12.5% | 4 |
| 30.8% | 25% | 56.2% | 0% | 0% | 0% | 18.7% | 5 |
| 36% | 28.1% | 50% | 0% | 0% | 0% | 21.9% | 6 |
| 38.8% | 29.7% | 46.9% | 0% | 0% | 0% | 23.4% | 7 |
| 40.2% | 30.5% | 45.3% | 0% | 0% | 0% | 24.2% | 8 |
| 40.7% | 30.8% | 44.9% | 0% | 0% | 0% | 24.2% | 9 |
| 41.2% | 31.2% | 44.5% | 0% | 0% | 0% | 24.2% | 10 |
| 41.4% | 31.3% | 44.4% | 0% | 0% | 0% | 24.2% | 11 |
| 41.5% | 31.4% | 44.3% | 0% | 0% | 0% | 24.3% | 12 |
Compiled 14 to 12 computations (14.3% saved)
| 1.3s | 2785× | body | 1024 | valid |
| 422.0ms | 3892× | body | 256 | valid |
| 277.0ms | 1298× | body | 512 | valid |
| 124.0ms | 281× | body | 2048 | valid |
| 5.0ms | 46× | body | 256 | infinite |
| 0.0ms | 1× | body | 256 | unsamplable |
| 2× | egg-herbie |
| 1440× | associate-/l* |
| 1382× | associate-*r* |
| 1160× | associate-/r* |
| 968× | associate-*l* |
| 702× | fma-def |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 25 |
| 1 | 27 | 25 |
| 2 | 36 | 25 |
| 3 | 62 | 25 |
| 4 | 135 | 21 |
| 5 | 349 | 15 |
| 6 | 1238 | 15 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
| Outputs |
|---|
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
Compiled 14 to 12 computations (14.3% saved)
| 1× | egg-herbie |
| 1440× | associate-/l* |
| 1382× | associate-*r* |
| 1160× | associate-/r* |
| 968× | associate-*l* |
| 702× | fma-def |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 25 |
| 1 | 27 | 25 |
| 2 | 36 | 25 |
| 3 | 62 | 25 |
| 4 | 135 | 21 |
| 5 | 349 | 15 |
| 6 | 1238 | 15 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
| Outputs |
|---|
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
Compiled 41 to 29 computations (29.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 | 2 | 5 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 4 | 2 | 6 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.01% | (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
| ▶ | 0.02% | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
Compiled 15 to 11 computations (26.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| ✓ | 0.03% | (+.f64 1 (exp.f64 x)) |
Compiled 14 to 8 computations (42.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| 0.0ms | x | @ | inf | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| 0.0ms | x | @ | 0 | (+.f64 1 (exp.f64 x)) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| 0.0ms | x | @ | inf | (+.f64 1 (exp.f64 x)) |
| 1× | batch-egg-rewrite |
| 1470× | add-sqr-sqrt |
| 1452× | *-un-lft-identity |
| 1352× | add-cube-cbrt |
| 1340× | add-cbrt-cube |
| 1328× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 1 | 156 | 26 |
| 2 | 1851 | 26 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (exp.f64 x)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))))) |
| 1× | egg-herbie |
| 1402× | associate-/l* |
| 1176× | distribute-lft-in |
| 1076× | distribute-rgt-in |
| 790× | associate-/r* |
| 648× | *-commutative |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 2019 |
| 1 | 382 | 1767 |
| 2 | 1374 | 1463 |
| 3 | 3499 | 1417 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 2 x) |
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))) |
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1) |
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))) |
(*.f64 1 (+.f64 1 (exp.f64 x))) |
(*.f64 (+.f64 1 (exp.f64 x)) 1) |
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x)))) |
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (expm1.f64 x)) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x)))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(pow.f64 (+.f64 1 (exp.f64 x)) 1) |
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) |
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x)))) |
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) |
(exp.f64 (log1p.f64 (exp.f64 x))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x)))) |
(fma.f64 1 (exp.f64 x) 1) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) |
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1) |
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2)) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x)))) |
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2) |
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(hypot.f64 1 (sqrt.f64 (exp.f64 x))) |
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) |
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
| Outputs |
|---|
2 |
(+.f64 2 x) |
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x)) |
(fma.f64 x (*.f64 x 1/2) (+.f64 2 x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))) |
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 1/2 (*.f64 x x) x))) |
(+.f64 (fma.f64 1/2 (*.f64 x x) x) (fma.f64 1/6 (pow.f64 x 3) 2)) |
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) (+.f64 2 x))) |
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))) |
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x))) (sqrt.f64 2)) |
(fma.f64 1/2 (fma.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2)) |
(fma.f64 1/2 (fma.f64 (/.f64 3/8 (sqrt.f64 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2)) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x))) (/.f64 7/192 (/.f64 (sqrt.f64 2) (pow.f64 x 3))))) |
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2)) |
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (/.f64 3/8 (sqrt.f64 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2)) |
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (+.f64 (exp.f64 x) -1)) |
(+.f64 1 (exp.f64 x)) |
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 1 (+.f64 1 (exp.f64 x))) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (+.f64 (exp.f64 x) -1)) |
(+.f64 1 (exp.f64 x)) |
(*.f64 (+.f64 1 (exp.f64 x)) 1) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (+.f64 (exp.f64 x) -1)) |
(+.f64 1 (exp.f64 x)) |
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (+.f64 (exp.f64 x) -1)) |
(+.f64 1 (exp.f64 x)) |
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (+.f64 (exp.f64 x) -1)) |
(+.f64 1 (exp.f64 x)) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (+.f64 (exp.f64 x) -1)) |
(+.f64 1 (exp.f64 x)) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 4)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (+.f64 (exp.f64 x) -1)) |
(+.f64 1 (exp.f64 x)) |
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (+.f64 (exp.f64 x) -1)) |
(+.f64 1 (exp.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 4)) |
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) |
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))) |
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))) |
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (expm1.f64 x)) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) |
(pow.f64 (+.f64 1 (exp.f64 x)) 1) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (+.f64 (exp.f64 x) -1)) |
(+.f64 1 (exp.f64 x)) |
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (+.f64 (exp.f64 x) -1)) |
(+.f64 1 (exp.f64 x)) |
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (+.f64 (exp.f64 x) -1)) |
(+.f64 1 (exp.f64 x)) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (+.f64 (exp.f64 x) -1)) |
(+.f64 1 (exp.f64 x)) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (+.f64 (exp.f64 x) -1)) |
(+.f64 1 (exp.f64 x)) |
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (+.f64 (exp.f64 x) -1)) |
(+.f64 1 (exp.f64 x)) |
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (+.f64 (exp.f64 x) -1)) |
(+.f64 1 (exp.f64 x)) |
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (+.f64 (exp.f64 x) -1)) |
(+.f64 1 (exp.f64 x)) |
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (+.f64 (exp.f64 x) -1)) |
(+.f64 1 (exp.f64 x)) |
(exp.f64 (log1p.f64 (exp.f64 x))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1)) |
(exp.f64 (log1p.f64 (exp.f64 x))) |
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (+.f64 (exp.f64 x) -1)) |
(+.f64 1 (exp.f64 x)) |
(fma.f64 1 (exp.f64 x) 1) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (+.f64 (exp.f64 x) -1)) |
(+.f64 1 (exp.f64 x)) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (+.f64 (exp.f64 x) -1)) |
(+.f64 1 (exp.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (+.f64 (exp.f64 x) -1)) |
(+.f64 1 (exp.f64 x)) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x)))) |
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) |
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(hypot.f64 1 (sqrt.f64 (exp.f64 x))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) |
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x))) |
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) |
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x))) |
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) |
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1)) |
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x))) |
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
| ✓ | 0.03% | (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
Compiled 26 to 6 computations (76.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
| 1.0ms | x | @ | inf | (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
| 1.0ms | x | @ | -inf | (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
| 0.0ms | x | @ | inf | (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
| 1× | batch-egg-rewrite |
| 1872× | add-sqr-sqrt |
| 1854× | *-un-lft-identity |
| 1734× | add-cube-cbrt |
| 1716× | add-cbrt-cube |
| 186× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 46 |
| 1 | 186 | 46 |
| 2 | 2518 | 46 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4)) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))))) |
| 1× | egg-herbie |
| 792× | associate-*r/ |
| 692× | +-commutative |
| 648× | *-commutative |
| 610× | distribute-lft-in |
| 594× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 199 | 2811 |
| 1 | 466 | 2639 |
| 2 | 1718 | 2619 |
| 3 | 6817 | 2619 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 2 x) |
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))) |
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)) |
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1) |
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (/.f64 1 (expm1.f64 x))) |
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (expm1.f64 x))) |
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1) |
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(*.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x)))) |
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (+.f64 x x))) |
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (expm1.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4)) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) 1/2) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) -1) |
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 1) |
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1) |
(*.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4)) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 1 (expm1.f64 x)))) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x)))) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2)) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1/2)) |
(/.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) |
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x))))) |
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))) |
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x)))) |
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x)))) |
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/2) |
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
| Outputs |
|---|
2 |
(+.f64 2 x) |
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x)) |
(fma.f64 x (*.f64 x 1/2) (+.f64 2 x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))) |
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 1/2 (*.f64 x x) x))) |
(+.f64 (fma.f64 1/2 (*.f64 x x) x) (fma.f64 1/6 (pow.f64 x 3) 2)) |
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) (+.f64 2 x))) |
(+.f64 2 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) x))) |
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))) |
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x)))) (sqrt.f64 2)) |
(fma.f64 1/2 (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2)) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x)))) (/.f64 (*.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2)))) |
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2)) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (/.f64 1 (expm1.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (expm1.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 4)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (+.f64 x x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (expm1.f64 x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4)) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 4)) |
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x)))) |
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x)))) |
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) |
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x)))) |
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) |
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x)))) |
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))) |
(/.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2))) |
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) 1/2) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 1/3) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) -1) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(log.f64 (exp.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(exp.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 1) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(*.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4)) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 1 (expm1.f64 x)))) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2)) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 1 (expm1.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(/.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) |
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x))))) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))) |
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x)))) |
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x)))) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))) |
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/2) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) 2) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2)) |
(fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1/2)) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
Compiled 2840 to 1559 computations (45.1% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 202 | 4 | 206 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 203 | 5 | 208 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.95% | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) |
| ▶ | 38.39% | (sqrt.f64 (+.f64 2 x)) |
| ✓ | 0.02% | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| ▶ | 31.58% | (sqrt.f64 2) |
| ▶ | 0.9% | (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) |
Compiled 31 to 27 computations (12.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (log1p.f64 (exp.f64 x)) |
| ✓ | 0.9% | (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) |
Compiled 19 to 9 computations (52.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | x | @ | inf | (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) |
| 21.0ms | x | @ | -inf | (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) |
| 1.0ms | x | @ | 0 | (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) |
| 0.0ms | x | @ | 0 | (log1p.f64 (exp.f64 x)) |
| 0.0ms | x | @ | inf | (log1p.f64 (exp.f64 x)) |
| 1× | batch-egg-rewrite |
| 1454× | add-sqr-sqrt |
| 1438× | *-un-lft-identity |
| 1332× | add-cube-cbrt |
| 1314× | add-cbrt-cube |
| 1296× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 172 | 24 |
| 2 | 1875 | 24 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) |
(log1p.f64 (exp.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 x) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/4))) (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1)))))) |
| 1× | egg-herbie |
| 1222× | distribute-lft-in |
| 1208× | distribute-rgt-in |
| 1166× | fma-def |
| 766× | unswap-sqr |
| 700× | *-commutative |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 987 |
| 1 | 242 | 983 |
| 2 | 991 | 971 |
| 3 | 2729 | 935 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 (sqrt.f64 2) x))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 3/32 (*.f64 (sqrt.f64 2) (pow.f64 x 2))) (*.f64 1/4 (*.f64 (sqrt.f64 2) x)))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 3/32 (*.f64 (sqrt.f64 2) (pow.f64 x 2))) (+.f64 (*.f64 7/384 (*.f64 (sqrt.f64 2) (pow.f64 x 3))) (*.f64 1/4 (*.f64 (sqrt.f64 2) x))))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(+.f64 1 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 1) |
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1) |
(*.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1))) |
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (+.f64 (exp.f64 x) 1))) |
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 3) |
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 3) 1/3) |
(pow.f64 (+.f64 (exp.f64 x) 1) 1/2) |
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x))) |
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) |
(pow.f64 (exp.f64 1) (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) |
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/4))) (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) |
(sqrt.f64 (+.f64 (exp.f64 x) 1)) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 3)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) |
(*.f64 (log1p.f64 (exp.f64 x)) 1) |
(*.f64 1 (log1p.f64 (exp.f64 x))) |
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x)))) |
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))) |
(pow.f64 (log1p.f64 (exp.f64 x)) 1) |
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2) |
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3) |
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) |
(log.f64 (+.f64 (exp.f64 x) 1)) |
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) |
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1)) |
| Outputs |
|---|
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 (sqrt.f64 2) x))) |
(fma.f64 1/4 (*.f64 (sqrt.f64 2) x) (sqrt.f64 2)) |
(fma.f64 (sqrt.f64 2) (*.f64 1/4 x) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 3/32 (*.f64 (sqrt.f64 2) (pow.f64 x 2))) (*.f64 1/4 (*.f64 (sqrt.f64 2) x)))) |
(+.f64 (sqrt.f64 2) (fma.f64 3/32 (*.f64 (sqrt.f64 2) (*.f64 x x)) (*.f64 1/4 (*.f64 (sqrt.f64 2) x)))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/4 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 x x) 3/32)))) |
(+.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1/4 x) (*.f64 3/32 (*.f64 x x))))) |
(fma.f64 (sqrt.f64 2) (fma.f64 3/32 (*.f64 x x) (*.f64 1/4 x)) (sqrt.f64 2)) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 3/32 (*.f64 (sqrt.f64 2) (pow.f64 x 2))) (+.f64 (*.f64 7/384 (*.f64 (sqrt.f64 2) (pow.f64 x 3))) (*.f64 1/4 (*.f64 (sqrt.f64 2) x))))) |
(+.f64 (sqrt.f64 2) (fma.f64 3/32 (*.f64 (sqrt.f64 2) (*.f64 x x)) (fma.f64 7/384 (*.f64 (sqrt.f64 2) (pow.f64 x 3)) (*.f64 1/4 (*.f64 (sqrt.f64 2) x))))) |
(+.f64 (sqrt.f64 2) (fma.f64 3/32 (*.f64 (sqrt.f64 2) (*.f64 x x)) (fma.f64 1/4 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) 7/384))))) |
(+.f64 (fma.f64 (sqrt.f64 2) (*.f64 1/4 x) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 3/32 (*.f64 x x)) (*.f64 7/384 (pow.f64 x 3))))) |
(fma.f64 (sqrt.f64 2) (fma.f64 7/384 (pow.f64 x 3) (*.f64 3/32 (*.f64 x x))) (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(fma.f64 1/2 x (log.f64 2)) |
(fma.f64 x 1/2 (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2))) |
(fma.f64 (*.f64 x x) 1/8 (fma.f64 x 1/2 (log.f64 2))) |
(fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log.f64 2))) |
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) |
(fma.f64 (*.f64 x x) 1/8 (fma.f64 x 1/2 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) |
(fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) |
(fma.f64 x (fma.f64 x 1/8 1/2) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(+.f64 1 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) |
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 1) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(*.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (+.f64 (exp.f64 x) 1))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 3) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 3) 1/3) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(pow.f64 (+.f64 (exp.f64 x) 1) 1/2) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x))) |
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) |
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) |
(pow.f64 (exp.f64 1) (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) |
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (exp.f64 x)))) |
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/4))) (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) |
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) |
(sqrt.f64 (+.f64 (exp.f64 x) 1)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 3)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) |
(log1p.f64 (exp.f64 x)) |
(*.f64 (log1p.f64 (exp.f64 x)) 1) |
(log1p.f64 (exp.f64 x)) |
(*.f64 1 (log1p.f64 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x)))) |
(log1p.f64 (exp.f64 x)) |
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) |
(log1p.f64 (exp.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))) |
(log1p.f64 (exp.f64 x)) |
(pow.f64 (log1p.f64 (exp.f64 x)) 1) |
(log1p.f64 (exp.f64 x)) |
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2) |
(log1p.f64 (exp.f64 x)) |
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3) |
(log1p.f64 (exp.f64 x)) |
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3) |
(log1p.f64 (exp.f64 x)) |
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 (exp.f64 x) 1)) |
(log1p.f64 (exp.f64 x)) |
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) |
(log1p.f64 (exp.f64 x)) |
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) |
(log1p.f64 (exp.f64 x)) |
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) |
(log1p.f64 (exp.f64 x)) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1)) |
(log1p.f64 (exp.f64 x)) |
Compiled 4 to 4 computations (0% saved)
Compiled 10 to 7 computations (30% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.01% | (sqrt.f64 (+.f64 1 (exp.f64 x))) | |
| 0.03% | (+.f64 1 (exp.f64 x)) | |
| ✓ | 0.05% | (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
| ✓ | 0.94% | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) |
Compiled 30 to 20 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) |
| 0.0ms | x | @ | inf | (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) |
| 0.0ms | x | @ | -inf | (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
| 1× | batch-egg-rewrite |
| 1408× | associate-*r/ |
| 1078× | associate-*l/ |
| 884× | distribute-lft-in |
| 808× | *-commutative |
| 320× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 48 |
| 1 | 217 | 36 |
| 2 | 2979 | 36 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) |
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (pow.f64 1 1/2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1 1/2) 1) (*.f64 (pow.f64 1 1/2) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1 1/2) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (*.f64 (pow.f64 1 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 (pow.f64 1 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1 1/2) -1) (*.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 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1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1))))) |
| 1× | egg-herbie |
| 1064× | +-commutative |
| 952× | associate--r+ |
| 680× | associate-+r- |
| 630× | associate-+l- |
| 556× | associate--l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 520 | 12988 |
| 1 | 1447 | 12254 |
| 2 | 5397 | 12254 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(+.f64 (sqrt.f64 2) 1) |
(+.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))) |
(+.f64 1 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (pow.f64 1 1/2) 0)) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) -1) |
(+.f64 0 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1) |
(+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(+.f64 (*.f64 (pow.f64 1 1/2) 1) (*.f64 (pow.f64 1 1/2) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) |
(+.f64 (*.f64 (pow.f64 1 1/2) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (*.f64 (pow.f64 1 1/2) 1)) |
(+.f64 (*.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 (pow.f64 1 1/2) -1)) |
(+.f64 (*.f64 (pow.f64 1 1/2) -1) (*.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1) |
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 1 1/2)) |
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) -1) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 1)) |
(*.f64 (-.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 1) (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))) |
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) -1)) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))) (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) 1/2)) |
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(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) -1) (-.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2))) (-.f64 0 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)) 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) 3) 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) -1) 1) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) -1) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) -1) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)) 1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))) |
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2) |
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(hypot.f64 1 (sqrt.f64 (exp.f64 x))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) -1) |
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) -1) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 0) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2) 1) |
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (/.f64 (+.f64 1 (exp.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)) (-.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)) 1)) |
(-.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))) (-.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))) 1)) |
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))) |
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))) |
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))) |
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(*.f64 (-.f64 0 (exp.f64 x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (/.f64 1 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (-.f64 0 (exp.f64 x))) |
(*.f64 (/.f64 1 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))) (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) |
(*.f64 (/.f64 (-.f64 0 (exp.f64 x)) (-.f64 0 (exp.f64 x))) (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (/.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (/.f64 (exp.f64 x) (-.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1)) (+.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (/.f64 (-.f64 0 (exp.f64 x)) (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) (+.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (-.f64 1 (*.f64 (-.f64 (exp.f64 x) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (-.f64 (exp.f64 x) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))))) (+.f64 (-.f64 0 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (+.f64 1 (pow.f64 (-.f64 (exp.f64 x) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) 3))) (+.f64 1 (-.f64 (*.f64 (-.f64 (exp.f64 x) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (-.f64 (exp.f64 x) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (-.f64 (exp.f64 x) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))))) |
(/.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 1 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) (exp.f64 x))) |
(/.f64 (exp.f64 x) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) |
(/.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) (sqrt.f64 (exp.f64 x)))) |
(/.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) (cbrt.f64 (exp.f64 x)))) |
(/.f64 (-.f64 0 (exp.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (/.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) (/.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))) |
(/.f64 (sqrt.f64 (-.f64 0 (exp.f64 x))) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (-.f64 0 (exp.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))) (/.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 0 (exp.f64 x))) (cbrt.f64 (-.f64 0 (exp.f64 x)))) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (-.f64 0 (exp.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 2 (exp.f64 x)))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 3)) (*.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) (*.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 1 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (+.f64 1 (exp.f64 x)) 2))))) |
(/.f64 (neg.f64 (-.f64 0 (exp.f64 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) (neg.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 0 (exp.f64 x)))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))) (neg.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))) (sqrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (sqrt.f64 (-.f64 0 (exp.f64 x)))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))) (cbrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2) (cbrt.f64 (-.f64 0 (exp.f64 x)))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 0 (exp.f64 x))) 1) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) 1) (neg.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))) (sqrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 0 (exp.f64 x))) (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2)) (cbrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 0 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (+.f64 2 (exp.f64 x))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (+.f64 1 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (+.f64 1 (exp.f64 x)) 2)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 3)) (/.f64 1 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) (/.f64 1 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) |
(/.f64 (/.f64 (exp.f64 x) 1) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) |
(/.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) |
(/.f64 (/.f64 (exp.f64 x) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) |
(/.f64 (/.f64 (exp.f64 x) (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))) (-.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 1)) |
(/.f64 (/.f64 (-.f64 0 (exp.f64 x)) 1) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(/.f64 (/.f64 (-.f64 0 (exp.f64 x)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (/.f64 (-.f64 0 (exp.f64 x)) (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) 1) (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (sqrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (sqrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (cbrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)) |
(expm1.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(fma.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1) |
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 1) |
(fma.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) |
| Outputs |
|---|
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2))) |
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(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2)) (cbrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2) (/.f64 (cbrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) (cbrt.f64 (+.f64 2 (-.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2)) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 0 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (neg.f64 (exp.f64 x))))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (+.f64 2 (exp.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 2 (exp.f64 x)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (+.f64 2 (exp.f64 x))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (+.f64 1 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (+.f64 1 (exp.f64 x)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (+.f64 2 (exp.f64 x))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 3)) (/.f64 1 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 3)) (*.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 3)) (*.f64 (+.f64 2 (-.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x))))) (+.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 3)) (*.f64 (+.f64 2 (-.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x))))) (+.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (pow.f64 (+.f64 1 (exp.f64 x)) 3)))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) (/.f64 1 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))) (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) (*.f64 (+.f64 2 (-.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x))))) (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))) |
(/.f64 (/.f64 (exp.f64 x) 1) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) |
(*.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (exp.f64 x)) |
(/.f64 (exp.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) |
(/.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) |
(*.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (exp.f64 x)) |
(/.f64 (exp.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) |
(/.f64 (/.f64 (exp.f64 x) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) |
(*.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (exp.f64 x)) |
(/.f64 (exp.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) |
(/.f64 (/.f64 (exp.f64 x) (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))) (-.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 1)) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (exp.f64 x) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) -1)) |
(/.f64 (/.f64 (-.f64 0 (exp.f64 x)) 1) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (neg.f64 (exp.f64 x))) |
(/.f64 (neg.f64 (exp.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(/.f64 (/.f64 (-.f64 0 (exp.f64 x)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (neg.f64 (exp.f64 x))) |
(/.f64 (neg.f64 (exp.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(/.f64 (/.f64 (-.f64 0 (exp.f64 x)) (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (neg.f64 (exp.f64 x))) |
(/.f64 (neg.f64 (exp.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) 1) (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) 1) (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (+.f64 2 (-.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (sqrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (sqrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) 1) (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (+.f64 2 (-.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (cbrt.f64 (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) 1) (-.f64 (+.f64 2 (exp.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (+.f64 2 (-.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) |
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 3) |
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) 1/3) |
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2)) |
(fabs.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) |
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)) |
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(expm1.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2))) |
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(fma.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1) |
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 1) |
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(fma.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) |
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))) 1) |
Compiled 10951 to 8348 computations (23.8% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 489 | 2 | 491 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 489 | 7 | 496 |
| Status | Error | Program |
|---|---|---|
| ▶ | 32.48% | (-.f64 (+.f64 (sqrt.f64 2) 1) 1) |
| ▶ | 39.31% | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
| ✓ | 0.95% | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) |
| ✓ | 38.39% | (sqrt.f64 (+.f64 2 x)) |
| ✓ | 0.02% | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| ✓ | 31.58% | (sqrt.f64 2) |
| ✓ | 0.9% | (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) |
Compiled 47 to 42 computations (10.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.04% | (+.f64 1 (sqrt.f64 (+.f64 2 x))) |
| ✓ | 0.95% | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
Compiled 25 to 20 computations (20% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
| 0.0ms | x | @ | inf | (+.f64 1 (sqrt.f64 (+.f64 2 x))) |
| 0.0ms | x | @ | -inf | (+.f64 1 (sqrt.f64 (+.f64 2 x))) |
| 1× | batch-egg-rewrite |
| 1450× | associate-*r/ |
| 1116× | associate-*l/ |
| 848× | distribute-lft-in |
| 812× | *-commutative |
| 312× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 40 |
| 1 | 223 | 28 |
| 2 | 3006 | 28 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
(+.f64 1 (sqrt.f64 (+.f64 2 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 (pow.f64 1 1/2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1 1/2) 1) (*.f64 (pow.f64 1 1/2) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1 1/2) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (*.f64 (pow.f64 1 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (*.f64 (pow.f64 1 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1 1/2) -1) (*.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1) (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 x) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 (+.f64 2 x) 1/4))) (-.f64 (pow.f64 (+.f64 2 x) 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1))))) |
| 1× | egg-herbie |
| 1188× | associate-+r- |
| 1084× | +-commutative |
| 1000× | associate-+l- |
| 808× | associate--l+ |
| 568× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 508 | 10645 |
| 1 | 1434 | 10089 |
| 2 | 5598 | 10063 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) 1) |
(+.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) |
(+.f64 (sqrt.f64 (+.f64 2 x)) 0) |
(+.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 (pow.f64 1 1/2) 0)) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1) |
(+.f64 0 (sqrt.f64 (+.f64 2 x))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1) |
(+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(+.f64 (*.f64 (pow.f64 1 1/2) 1) (*.f64 (pow.f64 1 1/2) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) |
(+.f64 (*.f64 (pow.f64 1 1/2) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (*.f64 (pow.f64 1 1/2) 1)) |
(+.f64 (*.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (*.f64 (pow.f64 1 1/2) -1)) |
(+.f64 (*.f64 (pow.f64 1 1/2) -1) (*.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 1 (sqrt.f64 (+.f64 2 x))) |
(*.f64 (sqrt.f64 (+.f64 2 x)) 1) |
(*.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 1 1/2)) |
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4)) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x))) |
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2))) (sqrt.f64 (cbrt.f64 (+.f64 2 x)))) |
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1)) |
(*.f64 (-.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1) (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)))) |
(*.f64 (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2)) 1/2)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) (sqrt.f64 (+.f64 2 x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (-.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))) (-.f64 0 (sqrt.f64 (+.f64 2 x)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 0 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) (*.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))) (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) 3) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) (-.f64 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))) |
(/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))) (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) |
(/.f64 (sqrt.f64 (+.f64 2 x)) 1) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) |
(/.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (/.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (+.f64 2 x)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))))) |
(/.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x))) |
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) (/.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1))) (/.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (-.f64 2 (sqrt.f64 (+.f64 2 x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) 1) (*.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) 1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) 1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) 3) 1) (*.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 3) 1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 3) 1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) (neg.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))) |
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 4 (*.f64 x x)))) (sqrt.f64 (-.f64 2 x))) |
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2))))) |
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))) (-.f64 2 (sqrt.f64 (+.f64 2 x)))) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1))) (neg.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))) |
(/.f64 (*.f64 (pow.f64 (+.f64 2 x) 1/4) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))) |
(/.f64 (*.f64 (pow.f64 (+.f64 2 x) 1/4) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1))) (sqrt.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (-.f64 4 (*.f64 x x)))) (cbrt.f64 (-.f64 2 x))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))) |
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(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3) |
(sqrt.f64 (+.f64 2 x)) |
(fabs.f64 (sqrt.f64 (+.f64 2 x))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x))))) |
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) |
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x)))) |
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(/.f64 (*.f64 (+.f64 1 x) 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) |
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(/.f64 (*.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 2)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 3 x)) |
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(/.f64 (/.f64 (-.f64 -1 x) 1) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(/.f64 (/.f64 (+.f64 1 x) 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) |
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(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (*.f64 (cbrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))))) (cbrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))) |
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) |
(/.f64 (/.f64 (+.f64 1 x) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) |
(/.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 (+.f64 2 x) 1/4))) (-.f64 (pow.f64 (+.f64 2 x) 1/4) 1)) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 1) |
(fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 1) |
(fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1) |
| Outputs |
|---|
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)))) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) |
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) 1) |
(+.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (+.f64 (sqrt.f64 2) 1) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) 1) |
(+.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) 1)) |
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)))) 1) |
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))) 1)) |
(+.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))) |
(+.f64 (sqrt.f64 2) (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) 1)) |
(+.f64 (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)))) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) 1) |
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))))) 1) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) |
(sqrt.f64 (+.f64 2 x)) |
(+.f64 (sqrt.f64 (+.f64 2 x)) 0) |
(sqrt.f64 (+.f64 2 x)) |
(+.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 (pow.f64 1 1/2) 0)) |
(sqrt.f64 (+.f64 2 x)) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1) |
(sqrt.f64 (+.f64 2 x)) |
(+.f64 0 (sqrt.f64 (+.f64 2 x))) |
(sqrt.f64 (+.f64 2 x)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1) |
(sqrt.f64 (+.f64 2 x)) |
(+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(sqrt.f64 (+.f64 2 x)) |
(+.f64 (*.f64 (pow.f64 1 1/2) 1) (*.f64 (pow.f64 1 1/2) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) |
(sqrt.f64 (+.f64 2 x)) |
(+.f64 (*.f64 (pow.f64 1 1/2) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (*.f64 (pow.f64 1 1/2) 1)) |
(sqrt.f64 (+.f64 2 x)) |
(+.f64 (*.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (*.f64 (pow.f64 1 1/2) -1)) |
(sqrt.f64 (+.f64 2 x)) |
(+.f64 (*.f64 (pow.f64 1 1/2) -1) (*.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(sqrt.f64 (+.f64 2 x)) |
(*.f64 1 (sqrt.f64 (+.f64 2 x))) |
(sqrt.f64 (+.f64 2 x)) |
(*.f64 (sqrt.f64 (+.f64 2 x)) 1) |
(sqrt.f64 (+.f64 2 x)) |
(*.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 1 1/2)) |
(sqrt.f64 (+.f64 2 x)) |
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4)) |
(sqrt.f64 (+.f64 2 x)) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x))) |
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x))) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x))))) |
(sqrt.f64 (+.f64 2 x)) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2))) (sqrt.f64 (cbrt.f64 (+.f64 2 x)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2))) (sqrt.f64 (cbrt.f64 (+.f64 2 x)))) |
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1)) |
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) (+.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) -1)) |
(+.f64 -1 (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 2)) |
(*.f64 (-.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1) (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)))) |
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) (+.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) -1)) |
(+.f64 -1 (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 2)) |
(*.f64 (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) |
(sqrt.f64 (+.f64 2 x)) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x))) |
(sqrt.f64 (+.f64 2 x)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2)) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2))) (sqrt.f64 (cbrt.f64 (+.f64 2 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2)) 1/2)) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2))) (sqrt.f64 (cbrt.f64 (+.f64 2 x)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) (sqrt.f64 (+.f64 2 x))) |
(sqrt.f64 (+.f64 2 x)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (-.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))) (-.f64 0 (sqrt.f64 (+.f64 2 x)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) (-.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))) (neg.f64 (sqrt.f64 (+.f64 2 x)))) |
(/.f64 (+.f64 (+.f64 2 x) (*.f64 2 (sqrt.f64 (+.f64 2 x)))) (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) (neg.f64 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 0 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (neg.f64 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (/.f64 (+.f64 (+.f64 2 x) (*.f64 2 (sqrt.f64 (+.f64 2 x)))) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (sqrt.f64 (+.f64 2 x)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) (*.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))) (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 4) (*.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))) (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 4) (*.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (-.f64 -2 (sqrt.f64 (+.f64 2 x)))))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 -2 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) 3) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) (-.f64 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) 3) (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) 3))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 4) (*.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (-.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 6))) (fma.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 4))) |
(/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(sqrt.f64 (+.f64 2 x)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))) (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) |
(/.f64 (sqrt.f64 (+.f64 2 x)) 1) |
(sqrt.f64 (+.f64 2 x)) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) |
(sqrt.f64 (+.f64 2 x)) |
(/.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (/.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (+.f64 2 x)))) |
(sqrt.f64 (+.f64 2 x)) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))) |
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))))) |
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(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (/.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (-.f64 -1 x))) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (-.f64 -1 x)))) |
(/.f64 (cbrt.f64 (-.f64 -1 x)) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (-.f64 -1 x))) (cbrt.f64 (-.f64 -1 x)))) |
(*.f64 (cbrt.f64 (-.f64 -1 x)) (/.f64 (cbrt.f64 (-.f64 -1 x)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (-.f64 -1 x))))) |
(/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) |
(/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 2)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 3 x))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 2)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 x 3))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 2 x) 3/2) 3)) (*.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))) (+.f64 1 (-.f64 (pow.f64 (+.f64 2 x) 3) (pow.f64 (+.f64 2 x) 3/2))))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 2 x) 3/2) 3)) (*.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))) (+.f64 1 (-.f64 (pow.f64 (+.f64 2 x) 3) (pow.f64 (+.f64 2 x) 3/2))))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 2 x) 3/2) 3)) (*.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))) (+.f64 (pow.f64 (+.f64 2 x) 3) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 2 x) 3/2) 3)) (*.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))) (+.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (pow.f64 (+.f64 2 x) 3)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3)) (*.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3)) (*.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3)) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 1 (+.f64 (+.f64 2 x) (pow.f64 (+.f64 2 x) 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3)) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (+.f64 1 (+.f64 2 (+.f64 x (pow.f64 (+.f64 2 x) 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3)) (+.f64 3 (+.f64 x (pow.f64 (+.f64 2 x) 2)))) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(/.f64 (neg.f64 (-.f64 -1 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (neg.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x)))) |
(/.f64 (*.f64 1 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) |
(/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 -1 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (neg.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x)))) |
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (sqrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))) |
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (/.f64 (sqrt.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))))) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))))) (hypot.f64 1 (pow.f64 (+.f64 2 x) 3/4))) |
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 -1 x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (cbrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (/.f64 (cbrt.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (-.f64 -1 x))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (-.f64 -1 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (-.f64 -1 x))) |
(/.f64 (*.f64 (+.f64 1 x) 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) |
(/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) |
(/.f64 (*.f64 (neg.f64 (-.f64 -1 x)) 1) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) |
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) 1) (neg.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) (sqrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))) |
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (/.f64 (sqrt.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))))) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))))) (hypot.f64 1 (pow.f64 (+.f64 2 x) 3/4))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 -1 x)) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 -1 x)))) |
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (/.f64 (cbrt.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (-.f64 -1 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (-.f64 -1 x))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 2)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 3 x)) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 2)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 x 3))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 1 (+.f64 (+.f64 2 x) (pow.f64 (+.f64 2 x) 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3)) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (+.f64 1 (+.f64 2 (+.f64 x (pow.f64 (+.f64 2 x) 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3)) (+.f64 3 (+.f64 x (pow.f64 (+.f64 2 x) 2)))) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 2 x) 3/2) 3)) (/.f64 1 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))) (+.f64 1 (-.f64 (pow.f64 (+.f64 2 x) 3) (pow.f64 (+.f64 2 x) 3/2)))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 2 x) 3/2) 3)) (*.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))) (+.f64 1 (-.f64 (pow.f64 (+.f64 2 x) 3) (pow.f64 (+.f64 2 x) 3/2))))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 2 x) 3/2) 3)) (*.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))) (+.f64 (pow.f64 (+.f64 2 x) 3) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 2 x) 3/2) 3)) (*.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))) (+.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (pow.f64 (+.f64 2 x) 3)))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3)) (/.f64 1 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3)) (*.f64 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3)) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x)))) |
(/.f64 (/.f64 (-.f64 -1 x) 1) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x)) |
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(/.f64 (/.f64 (+.f64 1 x) 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) |
(/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) |
(/.f64 (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x)) |
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(/.f64 (/.f64 (-.f64 -1 x) (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x)) |
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) 1) (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (sqrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))) (sqrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (*.f64 (cbrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x))))))) (cbrt.f64 (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 (+.f64 x 3) (sqrt.f64 (+.f64 2 x)))) |
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) |
(/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) |
(/.f64 (/.f64 (+.f64 1 x) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) |
(/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) |
(/.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 (+.f64 2 x) 1/4))) (-.f64 (pow.f64 (+.f64 2 x) 1/4) 1)) |
(/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
(+.f64 1 (sqrt.f64 (+.f64 2 x))) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 3) |
(+.f64 1 (sqrt.f64 (+.f64 2 x))) |
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1/3) |
(+.f64 1 (sqrt.f64 (+.f64 2 x))) |
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) |
(fabs.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(+.f64 1 (sqrt.f64 (+.f64 2 x))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))) |
(+.f64 1 (sqrt.f64 (+.f64 2 x))) |
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) |
(+.f64 1 (sqrt.f64 (+.f64 2 x))) |
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(+.f64 1 (sqrt.f64 (+.f64 2 x))) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(+.f64 1 (sqrt.f64 (+.f64 2 x))) |
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 1) |
(+.f64 1 (sqrt.f64 (+.f64 2 x))) |
(fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 1) |
(+.f64 1 (sqrt.f64 (+.f64 2 x))) |
(fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1) |
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)) 1) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.56% | (-.f64 (+.f64 (sqrt.f64 2) 1) 1) |
Compiled 15 to 15 computations (0% saved)
| 1× | batch-egg-rewrite |
| 1462× | add-sqr-sqrt |
| 1438× | *-un-lft-identity |
| 1356× | add-cube-cbrt |
| 1348× | add-cbrt-cube |
| 1338× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 175 | 5 |
| 2 | 2183 | 5 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (sqrt.f64 2) 1) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sqrt.f64 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sqrt.f64 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (/.f64 1 (+.f64 (sqrt.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (-.f64 (sqrt.f64 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 2) 2) (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (-.f64 (+.f64 (sqrt.f64 2) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 2 3/2) (+.f64 2 (-.f64 0 (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (-.f64 1 (*.f64 (+.f64 (sqrt.f64 2) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))) (neg.f64 (+.f64 (sqrt.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))))) (#(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 (pow.f64 2 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 2 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 2)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 2 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 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 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (sqrt.f64 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (hypot.f64 1 (pow.f64 2 1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) -1))))) |
| 1× | egg-herbie |
| 1150× | distribute-rgt-out |
| 968× | associate-*r* |
| 842× | associate-*l* |
| 706× | distribute-lft-in |
| 658× | times-frac |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 688 |
| 1 | 227 | 638 |
| 2 | 895 | 618 |
| 3 | 6734 | 608 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (sqrt.f64 2) 0) |
(+.f64 1 (+.f64 (sqrt.f64 2) -1)) |
(+.f64 (+.f64 (sqrt.f64 2) 1) -1) |
(+.f64 0 (sqrt.f64 2)) |
(+.f64 -1 (+.f64 (sqrt.f64 2) 1)) |
(*.f64 (sqrt.f64 2) 1) |
(*.f64 1 (sqrt.f64 2)) |
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)) |
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) 1)) |
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)) |
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))) |
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) 1)) |
(*.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (/.f64 1 (+.f64 (sqrt.f64 2) 2))) |
(*.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)))) |
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1)) |
(/.f64 2 (-.f64 (sqrt.f64 2) 0)) |
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 2) 2) (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1))) |
(/.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) 2)) |
(/.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (-.f64 (+.f64 (sqrt.f64 2) 1) -1)) |
(/.f64 (pow.f64 2 3/2) (+.f64 2 (-.f64 0 (*.f64 (sqrt.f64 2) 0)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (-.f64 1 (*.f64 (+.f64 (sqrt.f64 2) 1) -1)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))) (neg.f64 (+.f64 (sqrt.f64 2) 2))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)))) |
(pow.f64 2 1/2) |
(pow.f64 (sqrt.f64 2) 1) |
(pow.f64 (pow.f64 2 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3) |
(pow.f64 (pow.f64 2 3/2) 1/3) |
(sqrt.f64 2) |
(log.f64 (exp.f64 (sqrt.f64 2))) |
(cbrt.f64 (pow.f64 2 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 2))) |
(exp.f64 (log.f64 (sqrt.f64 2))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1)) |
(exp.f64 (*.f64 (log.f64 2) 1/2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 2))) |
(fma.f64 1 (sqrt.f64 2) 0) |
(fma.f64 1 (+.f64 (sqrt.f64 2) 1) -1) |
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) 0) |
(fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (hypot.f64 1 (pow.f64 2 1/4)) -1) |
(fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) 0) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) -1) |
| Outputs |
|---|
(+.f64 (sqrt.f64 2) 0) |
(sqrt.f64 2) |
(+.f64 1 (+.f64 (sqrt.f64 2) -1)) |
(sqrt.f64 2) |
(+.f64 (+.f64 (sqrt.f64 2) 1) -1) |
(sqrt.f64 2) |
(+.f64 0 (sqrt.f64 2)) |
(sqrt.f64 2) |
(+.f64 -1 (+.f64 (sqrt.f64 2) 1)) |
(sqrt.f64 2) |
(*.f64 (sqrt.f64 2) 1) |
(sqrt.f64 2) |
(*.f64 1 (sqrt.f64 2)) |
(sqrt.f64 2) |
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)) |
(sqrt.f64 2) |
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) 1)) |
(sqrt.f64 2) |
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)) |
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))) |
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)) |
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) 1)) |
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)) |
(*.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (/.f64 1 (+.f64 (sqrt.f64 2) 2))) |
(sqrt.f64 2) |
(*.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (/.f64 1 (+.f64 (+.f64 2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 2 (+.f64 (sqrt.f64 2) (pow.f64 (+.f64 (sqrt.f64 2) 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 (+.f64 2 (pow.f64 2 3/2)) (+.f64 (sqrt.f64 2) 3))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 3 (*.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) 3)))) |
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1)) |
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 2 1/4))) (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) -1)) |
(fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (hypot.f64 1 (pow.f64 2 1/4)) -1) |
(/.f64 2 (-.f64 (sqrt.f64 2) 0)) |
(/.f64 2 (sqrt.f64 2)) |
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 2) 2) (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)))) |
(sqrt.f64 2) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (/.f64 1 (+.f64 (+.f64 2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 2 (+.f64 (sqrt.f64 2) (pow.f64 (+.f64 (sqrt.f64 2) 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 (+.f64 2 (pow.f64 2 3/2)) (+.f64 (sqrt.f64 2) 3))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 3 (*.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) 3)))) |
(/.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) 2)) |
(sqrt.f64 2) |
(/.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (-.f64 (+.f64 (sqrt.f64 2) 1) -1)) |
(sqrt.f64 2) |
(/.f64 (pow.f64 2 3/2) (+.f64 2 (-.f64 0 (*.f64 (sqrt.f64 2) 0)))) |
(/.f64 (pow.f64 2 3/2) 2) |
(/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (/.f64 1 (+.f64 (+.f64 2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 2 (+.f64 (sqrt.f64 2) (pow.f64 (+.f64 (sqrt.f64 2) 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 (+.f64 2 (pow.f64 2 3/2)) (+.f64 (sqrt.f64 2) 3))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 3 (*.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) 3)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (-.f64 1 (*.f64 (+.f64 (sqrt.f64 2) 1) -1)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (/.f64 1 (+.f64 (+.f64 2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 2 (+.f64 (sqrt.f64 2) (pow.f64 (+.f64 (sqrt.f64 2) 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 (+.f64 2 (pow.f64 2 3/2)) (+.f64 (sqrt.f64 2) 3))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 3 (*.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) 3)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))) (neg.f64 (+.f64 (sqrt.f64 2) 2))) |
(sqrt.f64 2) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (/.f64 1 (+.f64 (+.f64 2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 2 (+.f64 (sqrt.f64 2) (pow.f64 (+.f64 (sqrt.f64 2) 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 (+.f64 2 (pow.f64 2 3/2)) (+.f64 (sqrt.f64 2) 3))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 3 (*.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) 3)))) |
(pow.f64 2 1/2) |
(sqrt.f64 2) |
(pow.f64 (sqrt.f64 2) 1) |
(sqrt.f64 2) |
(pow.f64 (pow.f64 2 1/4) 2) |
(sqrt.f64 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3) |
(sqrt.f64 2) |
(pow.f64 (pow.f64 2 3/2) 1/3) |
(cbrt.f64 (pow.f64 2 3/2)) |
(sqrt.f64 2) |
(log.f64 (exp.f64 (sqrt.f64 2))) |
(sqrt.f64 2) |
(cbrt.f64 (pow.f64 2 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 2))) |
(sqrt.f64 2) |
(exp.f64 (log.f64 (sqrt.f64 2))) |
(sqrt.f64 2) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1)) |
(sqrt.f64 2) |
(exp.f64 (*.f64 (log.f64 2) 1/2)) |
(sqrt.f64 2) |
(log1p.f64 (expm1.f64 (sqrt.f64 2))) |
(sqrt.f64 2) |
(fma.f64 1 (sqrt.f64 2) 0) |
(sqrt.f64 2) |
(fma.f64 1 (+.f64 (sqrt.f64 2) 1) -1) |
(sqrt.f64 2) |
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) 0) |
(sqrt.f64 2) |
(fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (hypot.f64 1 (pow.f64 2 1/4)) -1) |
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 2 1/4))) (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) -1)) |
(fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) 0) |
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) -1) |
(sqrt.f64 2) |
Compiled 8234 to 7224 computations (12.3% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 362 | 2 | 364 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 6 | 6 |
| Total | 363 | 8 | 371 |
| Status | Error | Program |
|---|---|---|
| ▶ | 32.48% | (/.f64 2 (sqrt.f64 2)) |
| ▶ | 40.23% | (-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
| ✓ | 39.31% | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
| ✓ | 0.95% | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) |
| ✓ | 38.39% | (sqrt.f64 (+.f64 2 x)) |
| ✓ | 0.02% | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| ✓ | 31.58% | (sqrt.f64 2) |
| ✓ | 0.9% | (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) |
Compiled 58 to 51 computations (12.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) |
| ✓ | 0.95% | (-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
| ✓ | 1.49% | (-.f64 1 (sqrt.f64 (+.f64 2 x))) |
Compiled 43 to 34 computations (20.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
| 2.0ms | x | @ | -inf | (-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) |
| 1× | batch-egg-rewrite |
| 1430× | associate-/l* |
| 1312× | associate-/r/ |
| 786× | associate-/l/ |
| 306× | add-sqr-sqrt |
| 294× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 81 |
| 1 | 298 | 45 |
| 2 | 4160 | 45 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (sqrt.f64 (+.f64 2 x))) |
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))))) |
| 1× | egg-herbie |
| 1578× | associate-*r* |
| 1324× | associate-/r* |
| 1170× | associate-*l* |
| 910× | associate-/l* |
| 800× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 701 | 14749 |
| 1 | 2337 | 14461 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (sqrt.f64 2)) |
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))) (sqrt.f64 2)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)))))) (sqrt.f64 2)) |
(*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (pow.f64 (sqrt.f64 2) 3) (-.f64 1 (sqrt.f64 2))))))) (pow.f64 x 3)))))) |
(/.f64 -1 (-.f64 1 (sqrt.f64 2))) |
(-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) |
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(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (pow.f64 (-.f64 -1 x) 2)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) |
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)))) |
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x))) (+.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x))) |
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x))) |
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)))) |
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 -1 x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)) (+.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
(pow.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 3) |
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1) |
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1/3) |
(neg.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) |
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))))) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) |
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) |
| Outputs |
|---|
(-.f64 1 (sqrt.f64 2)) |
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2)) |
(+.f64 1 (-.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))) |
(+.f64 1 (-.f64 (/.f64 (*.f64 -1/2 x) (sqrt.f64 2)) (sqrt.f64 2))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))) (sqrt.f64 2)) |
(-.f64 (+.f64 1 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3))))) (sqrt.f64 2)) |
(+.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/8 (/.f64 x (/.f64 (pow.f64 (sqrt.f64 2) 3) x)))) (-.f64 1 (sqrt.f64 2))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)))))) (sqrt.f64 2)) |
(-.f64 (+.f64 1 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)))))) (sqrt.f64 2)) |
(+.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 1/8 (/.f64 x (/.f64 (pow.f64 (sqrt.f64 2) 3) x))))) (-.f64 1 (sqrt.f64 2))) |
(*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)) |
(neg.f64 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2))))) |
(+.f64 -1 (/.f64 -1 (-.f64 1 (sqrt.f64 2)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1))) |
(*.f64 -1 (+.f64 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2)))))) |
(fma.f64 -1 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (+.f64 -1 (/.f64 -1 (-.f64 1 (sqrt.f64 2))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2)))) |
(fma.f64 -1 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (fma.f64 -1 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (*.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 x x)))) |
(+.f64 (fma.f64 -1 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (+.f64 -1 (/.f64 -1 (-.f64 1 (sqrt.f64 2))))) (*.f64 x (*.f64 x (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (pow.f64 (sqrt.f64 2) 3) (-.f64 1 (sqrt.f64 2))))))) (pow.f64 x 3)))))) |
(fma.f64 -1 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (fma.f64 -1 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (fma.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 x x) (neg.f64 (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (*.f64 1/8 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (-.f64 1 (sqrt.f64 2)) (pow.f64 (sqrt.f64 2) 3))))))))))) |
(+.f64 (fma.f64 -1 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (+.f64 -1 (/.f64 -1 (-.f64 1 (sqrt.f64 2))))) (fma.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 x x) (*.f64 (neg.f64 (pow.f64 x 3)) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 (*.f64 1/8 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (-.f64 1 (sqrt.f64 2)) (pow.f64 (sqrt.f64 2) 3)))))))) |
(/.f64 -1 (-.f64 1 (sqrt.f64 2))) |
(-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) |
(-.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) |
(-.f64 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (neg.f64 x)) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) |
(-.f64 (fma.f64 -1 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 x x))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) |
(-.f64 (fma.f64 -1 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 x (*.f64 x (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (pow.f64 (sqrt.f64 2) 3) (-.f64 1 (sqrt.f64 2))))))) (pow.f64 x 3))))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) |
(-.f64 (fma.f64 -1 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (fma.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 x x) (neg.f64 (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (*.f64 1/8 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (-.f64 1 (sqrt.f64 2)) (pow.f64 (sqrt.f64 2) 3)))))))))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) |
(-.f64 (fma.f64 -1 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (fma.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 x x) (*.f64 (neg.f64 (pow.f64 x 3)) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 (*.f64 1/8 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (-.f64 1 (sqrt.f64 2)) (pow.f64 (sqrt.f64 2) 3)))))))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) |
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x)))) |
(-.f64 1 (sqrt.f64 (+.f64 2 x))) |
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1)) |
(-.f64 1 (sqrt.f64 (+.f64 2 x))) |
(+.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1) |
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(*.f64 (/.f64 (/.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 1 (*.f64 (*.f64 x (+.f64 x -1)) (*.f64 x (+.f64 x -1))))) (-.f64 1 (*.f64 x (+.f64 x -1)))) |
(*.f64 (/.f64 (/.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 1 (*.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) (*.f64 x x))))) (-.f64 1 (*.f64 x (+.f64 x -1)))) |
(*.f64 (/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 1 (pow.f64 (*.f64 x (+.f64 x -1)) 3))) (-.f64 (+.f64 1 (*.f64 (*.f64 x (+.f64 x -1)) (*.f64 x (+.f64 x -1)))) (*.f64 x (+.f64 x -1)))) |
(*.f64 (/.f64 (/.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (+.f64 1 (pow.f64 (*.f64 x (+.f64 x -1)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 x (+.f64 x -1)) (*.f64 x (+.f64 x -1))) (*.f64 x (+.f64 x -1))))) |
(/.f64 (/.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 (+.f64 1 (pow.f64 (*.f64 x (+.f64 x -1)) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) (*.f64 x x))) (*.f64 x (+.f64 x -1)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 (-.f64 -1 x) (*.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) |
(/.f64 (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (/.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 x 3)))) |
(/.f64 (*.f64 (-.f64 -1 x) (sqrt.f64 (+.f64 3 (+.f64 x (sqrt.f64 (+.f64 2 x)))))) (*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))))) |
(*.f64 (/.f64 (/.f64 (-.f64 -1 x) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (-.f64 -1 x))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 (-.f64 -1 x) (*.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)))) |
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 (/.f64 (-.f64 -1 x) (cbrt.f64 (-.f64 -1 x))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2))) |
(*.f64 (/.f64 (/.f64 (-.f64 -1 x) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)))) |
(*.f64 (/.f64 (-.f64 -1 x) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 x 3)))) |
(*.f64 (/.f64 (/.f64 (-.f64 -1 x) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (+.f64 3 (+.f64 x (sqrt.f64 (+.f64 2 x)))))) |
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (pow.f64 (-.f64 -1 x) 2)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) |
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (pow.f64 (-.f64 -1 x) 2))) |
(/.f64 (+.f64 -1 (-.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (/.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))) |
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)))) |
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 x 3)) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 x 3)))) |
(/.f64 (+.f64 -1 (-.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (*.f64 (+.f64 3 (+.f64 x (sqrt.f64 (+.f64 2 x)))) (+.f64 3 (+.f64 x (sqrt.f64 (+.f64 2 x))))))) |
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x))) (+.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 (+.f64 -1 (-.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)))) |
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x))) |
(/.f64 (*.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 x 3))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) |
(/.f64 (*.f64 (+.f64 3 (+.f64 x (sqrt.f64 (+.f64 2 x)))) (+.f64 -1 (-.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) |
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 (+.f64 -1 (-.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)))) |
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x))) |
(/.f64 (*.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 x 3))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) |
(/.f64 (*.f64 (+.f64 3 (+.f64 x (sqrt.f64 (+.f64 2 x)))) (+.f64 -1 (-.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) |
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)))) |
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (*.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 x 3)))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 (*.f64 (+.f64 3 (+.f64 x (sqrt.f64 (+.f64 2 x)))) (+.f64 -1 (-.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (*.f64 (+.f64 -1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 1 x)))) |
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) x)) (*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 -1 x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)) (+.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (/.f64 (-.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (*.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 x 3)))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 (*.f64 (+.f64 3 (+.f64 x (sqrt.f64 (+.f64 2 x)))) (+.f64 -1 (-.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (*.f64 (+.f64 -1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 1 x)))) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
(+.f64 1 (sqrt.f64 (+.f64 2 x))) |
(pow.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) |
(+.f64 1 (sqrt.f64 (+.f64 2 x))) |
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 3) |
(+.f64 1 (sqrt.f64 (+.f64 2 x))) |
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1) |
(+.f64 1 (sqrt.f64 (+.f64 2 x))) |
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1/3) |
(+.f64 1 (sqrt.f64 (+.f64 2 x))) |
(neg.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) |
(/.f64 (neg.f64 (-.f64 -1 x)) (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) |
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(+.f64 1 (sqrt.f64 (+.f64 2 x))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))) |
(+.f64 1 (sqrt.f64 (+.f64 2 x))) |
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) |
(+.f64 1 (sqrt.f64 (+.f64 2 x))) |
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))))) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) |
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 1)) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(+.f64 1 (sqrt.f64 (+.f64 2 x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.56% | (/.f64 2 (sqrt.f64 2)) |
Compiled 8 to 8 computations (0% saved)
| 1× | batch-egg-rewrite |
| 958× | add-sqr-sqrt |
| 932× | *-un-lft-identity |
| 884× | pow1 |
| 882× | add-cube-cbrt |
| 872× | add-cbrt-cube |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 11 |
| 1 | 125 | 5 |
| 2 | 1491 | 5 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (sqrt.f64 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(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 (pow.f64 2 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sqrt.f64 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 2 -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 2)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 2))))))) |
| 1× | egg-herbie |
| 1228× | associate-/r* |
| 954× | associate-+r+ |
| 850× | distribute-lft-in |
| 820× | associate-+l+ |
| 716× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 353 |
| 1 | 90 | 247 |
| 2 | 331 | 157 |
| 3 | 1239 | 157 |
| 4 | 3907 | 157 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (sqrt.f64 2)) 1) |
(*.f64 2 (pow.f64 2 -1/2)) |
(*.f64 (sqrt.f64 2) 1) |
(*.f64 1 (sqrt.f64 2)) |
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)) |
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)) |
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))) |
(*.f64 (pow.f64 2 -1/2) 2) |
(*.f64 -2 (/.f64 1 (neg.f64 (sqrt.f64 2)))) |
(pow.f64 2 1/2) |
(pow.f64 (sqrt.f64 2) 1) |
(pow.f64 (pow.f64 2 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3) |
(pow.f64 (*.f64 2 (sqrt.f64 2)) 1/3) |
(pow.f64 (pow.f64 2 -1/2) -1) |
(sqrt.f64 2) |
(log.f64 (exp.f64 (sqrt.f64 2))) |
(cbrt.f64 (*.f64 2 (sqrt.f64 2))) |
(expm1.f64 (log1p.f64 (sqrt.f64 2))) |
(exp.f64 (log.f64 (sqrt.f64 2))) |
(log1p.f64 (expm1.f64 (sqrt.f64 2))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (sqrt.f64 2)) 1) |
(+.f64 1 (-.f64 (sqrt.f64 2) 1)) |
(+.f64 (sqrt.f64 2) 0) |
(sqrt.f64 2) |
(*.f64 2 (pow.f64 2 -1/2)) |
(+.f64 1 (-.f64 (sqrt.f64 2) 1)) |
(+.f64 (sqrt.f64 2) 0) |
(sqrt.f64 2) |
(*.f64 (sqrt.f64 2) 1) |
(+.f64 1 (-.f64 (sqrt.f64 2) 1)) |
(+.f64 (sqrt.f64 2) 0) |
(sqrt.f64 2) |
(*.f64 1 (sqrt.f64 2)) |
(+.f64 1 (-.f64 (sqrt.f64 2) 1)) |
(+.f64 (sqrt.f64 2) 0) |
(sqrt.f64 2) |
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)) |
(+.f64 1 (-.f64 (sqrt.f64 2) 1)) |
(+.f64 (sqrt.f64 2) 0) |
(sqrt.f64 2) |
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)) |
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))) |
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)) |
(*.f64 (pow.f64 2 -1/2) 2) |
(+.f64 1 (-.f64 (sqrt.f64 2) 1)) |
(+.f64 (sqrt.f64 2) 0) |
(sqrt.f64 2) |
(*.f64 -2 (/.f64 1 (neg.f64 (sqrt.f64 2)))) |
(/.f64 -2 (neg.f64 (sqrt.f64 2))) |
(/.f64 2 (sqrt.f64 2)) |
(pow.f64 2 1/2) |
(+.f64 1 (-.f64 (sqrt.f64 2) 1)) |
(+.f64 (sqrt.f64 2) 0) |
(sqrt.f64 2) |
(pow.f64 (sqrt.f64 2) 1) |
(+.f64 1 (-.f64 (sqrt.f64 2) 1)) |
(+.f64 (sqrt.f64 2) 0) |
(sqrt.f64 2) |
(pow.f64 (pow.f64 2 1/4) 2) |
(+.f64 1 (-.f64 (sqrt.f64 2) 1)) |
(+.f64 (sqrt.f64 2) 0) |
(sqrt.f64 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3) |
(+.f64 1 (-.f64 (sqrt.f64 2) 1)) |
(+.f64 (sqrt.f64 2) 0) |
(sqrt.f64 2) |
(pow.f64 (*.f64 2 (sqrt.f64 2)) 1/3) |
(cbrt.f64 (*.f64 2 (sqrt.f64 2))) |
(cbrt.f64 (pow.f64 2 3/2)) |
(pow.f64 (pow.f64 2 -1/2) -1) |
(/.f64 -2 (neg.f64 (sqrt.f64 2))) |
(/.f64 2 (sqrt.f64 2)) |
(sqrt.f64 2) |
(+.f64 1 (-.f64 (sqrt.f64 2) 1)) |
(+.f64 (sqrt.f64 2) 0) |
(log.f64 (exp.f64 (sqrt.f64 2))) |
(+.f64 1 (-.f64 (sqrt.f64 2) 1)) |
(+.f64 (sqrt.f64 2) 0) |
(sqrt.f64 2) |
(cbrt.f64 (*.f64 2 (sqrt.f64 2))) |
(cbrt.f64 (pow.f64 2 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 2))) |
(+.f64 1 (-.f64 (sqrt.f64 2) 1)) |
(+.f64 (sqrt.f64 2) 0) |
(sqrt.f64 2) |
(exp.f64 (log.f64 (sqrt.f64 2))) |
(+.f64 1 (-.f64 (sqrt.f64 2) 1)) |
(+.f64 (sqrt.f64 2) 0) |
(sqrt.f64 2) |
(log1p.f64 (expm1.f64 (sqrt.f64 2))) |
(+.f64 1 (-.f64 (sqrt.f64 2) 1)) |
(+.f64 (sqrt.f64 2) 0) |
(sqrt.f64 2) |
Compiled 12096 to 10482 computations (13.3% saved)
12 alts after pruning (4 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 439 | 4 | 443 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 439 | 12 | 451 |
| Status | Error | Program |
|---|---|---|
| ✓ | 32.48% | (/.f64 2 (sqrt.f64 2)) |
| 39.32% | (-.f64 (/.f64 (-.f64 -1 x) (/.f64 (/.f64 (+.f64 -1 (*.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 1 x))) 1) | |
| 39.32% | (-.f64 (/.f64 (-.f64 -1 x) (/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 1 (+.f64 x -1))))) 1) | |
| 39.33% | (-.f64 (/.f64 (-.f64 -1 x) (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 x -1)))) 1) | |
| ✓ | 40.23% | (-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
| 33.37% | (-.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 2))) 1) | |
| ✓ | 39.31% | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
| ✓ | 0.95% | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) |
| ✓ | 38.39% | (sqrt.f64 (+.f64 2 x)) |
| ✓ | 0.02% | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| ✓ | 31.58% | (sqrt.f64 2) |
| ✓ | 0.9% | (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) |
Compiled 138 to 116 computations (15.9% saved)
| Inputs |
|---|
(sqrt.f64 2) |
(sqrt.f64 (+.f64 2 x)) |
(/.f64 2 (sqrt.f64 2)) |
(-.f64 (+.f64 (sqrt.f64 2) 1) 1) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
(-.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 2))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 x -1)))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (/.f64 (/.f64 (+.f64 -1 (*.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 1 x))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 1 (+.f64 x -1))))) 1) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
| Outputs |
|---|
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
3 calls:
| 10.0ms | x |
| 3.0ms | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
| 3.0ms | (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
| Error | Segments | Branch |
|---|---|---|
| 0.01% | 1 | x |
| 0.01% | 1 | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
| 0.01% | 1 | (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
Compiled 180 to 143 computations (20.6% saved)
| Inputs |
|---|
(sqrt.f64 2) |
(sqrt.f64 (+.f64 2 x)) |
(/.f64 2 (sqrt.f64 2)) |
(-.f64 (+.f64 (sqrt.f64 2) 1) 1) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
(-.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 2))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 x -1)))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (/.f64 (/.f64 (+.f64 -1 (*.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 1 x))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 1 (+.f64 x -1))))) 1) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) |
| Outputs |
|---|
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
1 calls:
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.02% | 1 | x |
Compiled 135 to 108 computations (20% saved)
Total -6.1b remaining (-30.3%)
Threshold costs -6.1b (-30.3%)
| Inputs |
|---|
(sqrt.f64 2) |
(sqrt.f64 (+.f64 2 x)) |
(/.f64 2 (sqrt.f64 2)) |
(-.f64 (+.f64 (sqrt.f64 2) 1) 1) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
(-.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 2))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 x -1)))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (/.f64 (/.f64 (+.f64 -1 (*.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 1 x))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 1 (+.f64 x -1))))) 1) |
| Outputs |
|---|
(sqrt.f64 2) |
1 calls:
| 6.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 31.58% | 1 | x |
Compiled 115 to 93 computations (19.1% saved)
| 1× | egg-herbie |
| 2× | 1-exp |
| 2× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 45 |
| 1 | 18 | 45 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 2) |
| Outputs |
|---|
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 2) |
Compiled 18 to 14 computations (22.2% saved)
| 1× | egg-herbie |
| 1440× | associate-/l* |
| 1382× | associate-*r* |
| 1160× | associate-/r* |
| 968× | associate-*l* |
| 702× | fma-def |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 25 |
| 1 | 27 | 25 |
| 2 | 36 | 25 |
| 3 | 62 | 25 |
| 4 | 135 | 21 |
| 5 | 349 | 15 |
| 6 | 1238 | 15 |
| 1× | node limit |
Compiled 41 to 27 computations (34.1% saved)
Compiled 16 to 12 computations (25% saved)
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