Time bar (total: 5.5s)
| 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)
| 1.0s | 2721× | body | 1024 | valid |
| 404.0ms | 3854× | body | 256 | valid |
| 295.0ms | 1403× | body | 512 | valid |
| 122.0ms | 278× | body | 2048 | valid |
| 5.0ms | 44× | body | 256 | infinite |
| 0.0ms | 3× | 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 |
|---|---|---|
| ▶ | 0.0b | (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
| ▶ | 0.0b | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
Compiled 15 to 11 computations (26.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| ✓ | 0.0b | (+.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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (expm1.f64 (+.f64 x x)) |
| ✓ | 0.0b | (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
| ✓ | 0.0b | (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
Compiled 26 to 6 computations (76.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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))) |
| 0.0ms | x | @ | 0 | (/.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 | 57 |
| 1 | 186 | 57 |
| 2 | 2518 | 57 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(expm1.f64 (+.f64 x 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))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 2) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (exp.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (cbrt.f64 (expm1.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (exp.f64 2) x)) 1) (+.f64 (pow.f64 (exp.f64 2) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 2) x) 3) 1) (+.f64 (*.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (exp.f64 2) x)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 2) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (+.f64 x x)))))))) |
| 1× | egg-herbie |
| 1654× | associate-*l/ |
| 1522× | associate-/l* |
| 912× | *-commutative |
| 862× | associate-/r* |
| 816× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 246 | 3349 |
| 1 | 574 | 3151 |
| 2 | 2606 | 3151 |
| 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 2 x) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 4/3 (pow.f64 x 3)) (*.f64 2 x))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 4/3 (pow.f64 x 3)) (*.f64 2 x)))) |
(-.f64 (exp.f64 (*.f64 2 x)) 1) |
(-.f64 (exp.f64 (*.f64 2 x)) 1) |
(-.f64 (exp.f64 (*.f64 2 x)) 1) |
(-.f64 (exp.f64 (*.f64 2 x)) 1) |
(-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) |
(-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) |
(-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) |
(-.f64 (exp.f64 (neg.f64 (*.f64 -2 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))))) |
(+.f64 (pow.f64 (exp.f64 2) x) -1) |
(-.f64 (pow.f64 (exp.f64 2) x) 1) |
(*.f64 (expm1.f64 (+.f64 x x)) 1) |
(*.f64 1 (expm1.f64 (+.f64 x x))) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 (+.f64 x x)))) |
(*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (cbrt.f64 (expm1.f64 (+.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (exp.f64 2) x)) 1) (+.f64 (pow.f64 (exp.f64 2) x) 1)) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 2) x) 3) 1) (+.f64 (*.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (exp.f64 2) x)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 2) x) 1)))) |
(pow.f64 (expm1.f64 (+.f64 x x)) 1) |
(pow.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 2) |
(pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 3) |
(pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) |
(log.f64 (exp.f64 (expm1.f64 (+.f64 x x)))) |
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (+.f64 x x))))) |
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3)) |
(exp.f64 (log.f64 (expm1.f64 (+.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 x x))) 1)) |
(log1p.f64 (expm1.f64 (expm1.f64 (+.f64 x 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)) |
(+.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)) |
(/.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 (-.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 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 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))))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (*.f64 (/.f64 7/192 (sqrt.f64 2)) (pow.f64 x 3)))) |
(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 2 x) |
(+.f64 x x) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x)) |
(*.f64 2 (+.f64 (*.f64 x x) x)) |
(*.f64 2 (fma.f64 x x x)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 4/3 (pow.f64 x 3)) (*.f64 2 x))) |
(fma.f64 2 (*.f64 x x) (fma.f64 4/3 (pow.f64 x 3) (+.f64 x x))) |
(+.f64 (*.f64 2 (fma.f64 x x x)) (*.f64 (pow.f64 x 3) 4/3)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 4/3 (pow.f64 x 3)) (*.f64 2 x)))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 4/3 (pow.f64 x 3) (+.f64 x x)))) |
(+.f64 (fma.f64 2/3 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 4/3)) (*.f64 2 (fma.f64 x x x))) |
(+.f64 (*.f64 2 (fma.f64 x x x)) (fma.f64 2/3 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 4/3))) |
(-.f64 (exp.f64 (*.f64 2 x)) 1) |
(expm1.f64 (+.f64 x x)) |
(-.f64 (exp.f64 (*.f64 2 x)) 1) |
(expm1.f64 (+.f64 x x)) |
(-.f64 (exp.f64 (*.f64 2 x)) 1) |
(expm1.f64 (+.f64 x x)) |
(-.f64 (exp.f64 (*.f64 2 x)) 1) |
(expm1.f64 (+.f64 x x)) |
(-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) |
(expm1.f64 (+.f64 x x)) |
(-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) |
(expm1.f64 (+.f64 x x)) |
(-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) |
(expm1.f64 (+.f64 x x)) |
(-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) |
(expm1.f64 (+.f64 x 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)) |
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(/.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)) |
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(/.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)) |
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(/.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))) |
(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) |
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)) |
(fabs.f64 (/.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)) |
(fabs.f64 (/.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))) |
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(*.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 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
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(*.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))))) |
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(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x)))) |
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(/.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)))) |
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(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1) |
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(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))) |
(+.f64 (pow.f64 (exp.f64 2) x) -1) |
(expm1.f64 (+.f64 x x)) |
(-.f64 (pow.f64 (exp.f64 2) x) 1) |
(expm1.f64 (+.f64 x x)) |
(*.f64 (expm1.f64 (+.f64 x x)) 1) |
(expm1.f64 (+.f64 x x)) |
(*.f64 1 (expm1.f64 (+.f64 x x))) |
(expm1.f64 (+.f64 x x)) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 (+.f64 x x)))) |
(expm1.f64 (+.f64 x x)) |
(*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2)) |
(expm1.f64 (+.f64 x x)) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (cbrt.f64 (expm1.f64 (+.f64 x x)))) |
(expm1.f64 (+.f64 x x)) |
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(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 2) x) 3) -1) (+.f64 (pow.f64 (exp.f64 2) (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) x)))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 2) x) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (exp.f64 2) (+.f64 x x))))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 2) (+.f64 x x))))) |
(pow.f64 (expm1.f64 (+.f64 x x)) 1) |
(expm1.f64 (+.f64 x x)) |
(pow.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 2) |
(expm1.f64 (+.f64 x x)) |
(pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 3) |
(expm1.f64 (+.f64 x x)) |
(pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3) 1/3) |
(expm1.f64 (+.f64 x x)) |
(sqrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) |
(fabs.f64 (expm1.f64 (+.f64 x x))) |
(log.f64 (exp.f64 (expm1.f64 (+.f64 x x)))) |
(expm1.f64 (+.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (+.f64 x x))))) |
(expm1.f64 (+.f64 x x)) |
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3)) |
(expm1.f64 (+.f64 x x)) |
(exp.f64 (log.f64 (expm1.f64 (+.f64 x x)))) |
(expm1.f64 (+.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 x x))) 1)) |
(expm1.f64 (+.f64 x x)) |
(log1p.f64 (expm1.f64 (expm1.f64 (+.f64 x x)))) |
(expm1.f64 (+.f64 x x)) |
Compiled 3398 to 1881 computations (44.6% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 241 | 3 | 244 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 242 | 4 | 246 |
| Status | Error | Program |
|---|---|---|
| ▶ | 22.2b | (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
| ▶ | 22.5b | (sqrt.f64 (+.f64 2 x)) |
| ✓ | 0.0b | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| ▶ | 18.7b | (sqrt.f64 2) |
Compiled 24 to 21 computations (12.5% saved)
Compiled 4 to 4 computations (0% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (+.f64 2 x)) |
Compiled 10 to 7 computations (30% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (sqrt.f64 (+.f64 2 x)) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (+.f64 2 x)) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (+.f64 2 x)) |
| 1× | batch-egg-rewrite |
| 1482× | add-sqr-sqrt |
| 1458× | *-un-lft-identity |
| 1368× | add-cube-cbrt |
| 1358× | add-cbrt-cube |
| 1348× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 148 | 11 |
| 2 | 1810 | 11 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 2 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 2 x)))))) (#(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 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))))) (#(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 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x)))))))) |
| 1× | egg-herbie |
| 1128× | associate-*r* |
| 968× | associate-*l* |
| 764× | associate-/l* |
| 682× | fma-def |
| 672× | times-frac |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 800 |
| 1 | 191 | 672 |
| 2 | 505 | 560 |
| 3 | 1419 | 516 |
| 4 | 6085 | 516 |
| 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 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
(*.f64 (sqrt.f64 (+.f64 2 x)) 1) |
(*.f64 1 (sqrt.f64 (+.f64 2 x))) |
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4)) |
(*.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 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2)) |
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2))))) |
(/.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x))) |
(pow.f64 (+.f64 2 x) 1/2) |
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1) |
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3) |
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (+.f64 2 x))) |
(log.f64 (exp.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)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x)))) |
| 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)))) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 x (/.f64 (sqrt.f64 2) x)) (sqrt.f64 2))) |
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (/.f64 x -16)))) |
(+.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))) |
(fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 x (/.f64 (sqrt.f64 2) x)) (sqrt.f64 2)))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (/.f64 x -16))))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1)) |
(+.f64 (sqrt.f64 (+.f64 2 x)) 0) |
(sqrt.f64 (+.f64 2 x)) |
(*.f64 (sqrt.f64 (+.f64 2 x)) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1)) |
(+.f64 (sqrt.f64 (+.f64 2 x)) 0) |
(sqrt.f64 (+.f64 2 x)) |
(*.f64 1 (sqrt.f64 (+.f64 2 x))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1)) |
(+.f64 (sqrt.f64 (+.f64 2 x)) 0) |
(sqrt.f64 (+.f64 2 x)) |
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1)) |
(+.f64 (sqrt.f64 (+.f64 2 x)) 0) |
(sqrt.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 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x)))) |
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x)))) |
(*.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (cbrt.f64 (+.f64 2 x)))) |
(pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1)) |
(+.f64 (sqrt.f64 (+.f64 2 x)) 0) |
(sqrt.f64 (+.f64 2 x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x)))) |
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x)))) |
(*.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (cbrt.f64 (+.f64 2 x)))) |
(pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2) |
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (+.f64 4 (*.f64 x (+.f64 x -2))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (+.f64 x -2) 4))) |
(/.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x))) |
(pow.f64 (+.f64 2 x) 1/2) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1)) |
(+.f64 (sqrt.f64 (+.f64 2 x)) 0) |
(sqrt.f64 (+.f64 2 x)) |
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1)) |
(+.f64 (sqrt.f64 (+.f64 2 x)) 0) |
(sqrt.f64 (+.f64 2 x)) |
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1)) |
(+.f64 (sqrt.f64 (+.f64 2 x)) 0) |
(sqrt.f64 (+.f64 2 x)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1)) |
(+.f64 (sqrt.f64 (+.f64 2 x)) 0) |
(sqrt.f64 (+.f64 2 x)) |
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2)) |
(fabs.f64 (sqrt.f64 (+.f64 2 x))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1)) |
(+.f64 (sqrt.f64 (+.f64 2 x)) 0) |
(sqrt.f64 (+.f64 2 x)) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1)) |
(+.f64 (sqrt.f64 (+.f64 2 x)) 0) |
(sqrt.f64 (+.f64 2 x)) |
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1)) |
(+.f64 (sqrt.f64 (+.f64 2 x)) 0) |
(sqrt.f64 (+.f64 2 x)) |
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1)) |
(+.f64 (sqrt.f64 (+.f64 2 x)) 0) |
(sqrt.f64 (+.f64 2 x)) |
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1)) |
(+.f64 (sqrt.f64 (+.f64 2 x)) 0) |
(sqrt.f64 (+.f64 2 x)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1)) |
(+.f64 (sqrt.f64 (+.f64 2 x)) 0) |
(sqrt.f64 (+.f64 2 x)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x)))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 x)) 1)) |
(+.f64 (sqrt.f64 (+.f64 2 x)) 0) |
(sqrt.f64 (+.f64 2 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
| ✓ | 0.4b | (/.f64 x (sqrt.f64 2)) |
Compiled 25 to 21 computations (16% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 x (sqrt.f64 2)) |
| 0.0ms | x | @ | 0 | (/.f64 x (sqrt.f64 2)) |
| 0.0ms | x | @ | -inf | (/.f64 x (sqrt.f64 2)) |
| 0.0ms | x | @ | 0 | (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
| 0.0ms | x | @ | inf | (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
| 1× | batch-egg-rewrite |
| 1396× | associate-*r/ |
| 968× | *-commutative |
| 892× | associate-/r* |
| 876× | associate-*l/ |
| 610× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 38 |
| 1 | 216 | 34 |
| 2 | 2792 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (sqrt.f64 2)) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
| Outputs |
|---|
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(/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 2) (*.f64 x (/.f64 1/2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (sqrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) (*.f64 x (/.f64 1/2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 1/4 x) (/.f64 2 x))) (cbrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) (*.f64 x (/.f64 1/2 (sqrt.f64 2)))))))) |
| 1× | egg-herbie |
| 1778× | associate-/r* |
| 960× | associate-/l/ |
| 684× | associate-/r/ |
| 414× | distribute-lft-neg-in |
| 384× | distribute-rgt-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 306 | 6608 |
| 1 | 829 | 5990 |
| 2 | 3467 | 5890 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 2) |
(*.f64 1/2 (/.f64 x (sqrt.f64 2))) |
(*.f64 1/2 (/.f64 x (sqrt.f64 2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sqrt.f64 2)))) 1) |
(*.f64 x (pow.f64 2 -1/2)) |
(*.f64 (/.f64 x (sqrt.f64 2)) 1) |
(*.f64 1 (/.f64 x (sqrt.f64 2))) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sqrt.f64 2))) |
(*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 2))) (sqrt.f64 (/.f64 x (sqrt.f64 2)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sqrt.f64 2))) |
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 2))) (cbrt.f64 (/.f64 x (/.f64 2 x)))) |
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 2))) |
(*.f64 (cbrt.f64 (/.f64 x (/.f64 2 x))) (cbrt.f64 (/.f64 x (sqrt.f64 2)))) |
(*.f64 (pow.f64 2 -1/2) x) |
(*.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 2))) |
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 2)) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 2)) (/.f64 (sqrt.f64 x) 1)) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 2)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 x (pow.f64 2 1/4))) |
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 x (cbrt.f64 (sqrt.f64 2)))) |
(*.f64 (/.f64 x (pow.f64 2 1/4)) (/.f64 1 (pow.f64 2 1/4))) |
(*.f64 (/.f64 x (cbrt.f64 (sqrt.f64 2))) (/.f64 1 (cbrt.f64 2))) |
(*.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sqrt.f64 2))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 2)))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sqrt.f64 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 x) (pow.f64 2 1/4))) |
(*.f64 (/.f64 (cbrt.f64 x) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 2 1/4))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 x (sqrt.f64 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(pow.f64 (/.f64 x (sqrt.f64 2)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 2))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 2))) 3) |
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 2)) 3) 1/3) |
(pow.f64 (/.f64 (sqrt.f64 2) x) -1) |
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 2)))) |
(sqrt.f64 (/.f64 x (/.f64 2 x))) |
(log.f64 (exp.f64 (/.f64 x (sqrt.f64 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sqrt.f64 2))))) |
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 2)))) |
(exp.f64 (log.f64 (/.f64 x (sqrt.f64 2)))) |
(log1p.f64 (expm1.f64 (/.f64 x (sqrt.f64 2)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))))) (-.f64 1 (sqrt.f64 2))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 2))) (-.f64 1 (*.f64 x (/.f64 1/2 (sqrt.f64 2))))) |
(-.f64 (/.f64 2 (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2)))) (/.f64 (/.f64 (*.f64 1/4 x) (/.f64 2 x)) (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2))))) |
(-.f64 (+.f64 (sqrt.f64 2) (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))))) 1) |
(-.f64 (+.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (exp.f64 (log1p.f64 (sqrt.f64 2)))) 1) |
(*.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)) 1) |
(*.f64 1 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2))) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)))) |
(*.f64 (cbrt.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2))) 2) (cbrt.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)))) |
(*.f64 (-.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x))) (/.f64 1 (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2))))) |
(*.f64 (+.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3))) (/.f64 1 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))))) |
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2)))) (-.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x)))) |
(*.f64 (/.f64 1 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))))) (+.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3)))) |
(*.f64 (/.f64 (-.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x))) (-.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x)))) (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2))) |
(*.f64 (/.f64 (-.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x))) (-.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3)))) (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3))) (-.f64 4 (*.f64 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))) (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))))) (-.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3))) (+.f64 8 (pow.f64 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))) 3))) (+.f64 4 (*.f64 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))) (-.f64 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))) 2)))) |
(/.f64 1 (/.f64 1 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)))) |
(/.f64 (-.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x))) (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2)))) |
(/.f64 (+.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3))) (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))))) |
(/.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))) (/.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))) (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3)))) (/.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))) (sqrt.f64 (+.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3)))))) |
(/.f64 (sqrt.f64 (-.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x)))) (/.f64 (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2))) (sqrt.f64 (-.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3)))) (cbrt.f64 (+.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3))))) (/.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))) (cbrt.f64 (+.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x)))) (cbrt.f64 (-.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x))))) (/.f64 (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2))) (cbrt.f64 (-.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 1/4 x) (/.f64 2 x)) 2) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))) |
(/.f64 (-.f64 (*.f64 (pow.f64 2 3/2) (pow.f64 2 3/2)) (*.f64 (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3)) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3)))) (*.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))) (-.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3))))) |
(/.f64 (-.f64 4 (*.f64 (/.f64 (*.f64 1/4 x) (/.f64 2 x)) (/.f64 (*.f64 1/4 x) (/.f64 2 x)))) (*.f64 (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2))) (+.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 2 3/2) 3) (pow.f64 (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3)) 3)) (*.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))) (+.f64 (*.f64 (pow.f64 2 3/2) (pow.f64 2 3/2)) (*.f64 (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3)) (-.f64 (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3)) (pow.f64 2 3/2)))))) |
(/.f64 (-.f64 8 (pow.f64 (/.f64 (*.f64 1/4 x) (/.f64 2 x)) 3)) (*.f64 (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2))) (+.f64 4 (*.f64 (/.f64 (*.f64 1/4 x) (/.f64 2 x)) (+.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x))))))) |
(/.f64 (neg.f64 (-.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x)))) (neg.f64 (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3)))) (neg.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))))) |
(/.f64 (*.f64 1 (-.f64 (/.f64 (*.f64 1/4 x) (/.f64 2 x)) 2)) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x))))) (neg.f64 (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2))))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3))))) (neg.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2))) (sqrt.f64 (+.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3))))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2))) (sqrt.f64 (-.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x))))) (sqrt.f64 (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2))) 2) (cbrt.f64 (+.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3))))) (cbrt.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2))) 2) (cbrt.f64 (-.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x))))) (cbrt.f64 (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 1/4 x) (/.f64 2 x)) 2) 1) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))) |
(/.f64 (*.f64 (neg.f64 (-.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x)))) 1) (neg.f64 (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3)))) 1) (neg.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3)))) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x)))) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)))) (sqrt.f64 (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3)))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2))) 2)) (cbrt.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x)))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2))))) |
(/.f64 (*.f64 (-.f64 4 (*.f64 (/.f64 (*.f64 1/4 x) (/.f64 2 x)) (/.f64 (*.f64 1/4 x) (/.f64 2 x)))) (/.f64 1 (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2))))) (+.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x)))) |
(/.f64 (*.f64 (-.f64 8 (pow.f64 (/.f64 (*.f64 1/4 x) (/.f64 2 x)) 3)) (/.f64 1 (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2))))) (+.f64 4 (*.f64 (/.f64 (*.f64 1/4 x) (/.f64 2 x)) (+.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 2 3/2) (pow.f64 2 3/2)) (*.f64 (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3)) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3)))) (/.f64 1 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))))) (-.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 2 3/2) 3) (pow.f64 (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3)) 3)) (/.f64 1 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))))) (+.f64 (*.f64 (pow.f64 2 3/2) (pow.f64 2 3/2)) (*.f64 (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3)) (-.f64 (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3)) (pow.f64 2 3/2))))) |
(/.f64 (/.f64 (-.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x))) 1) (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2)))) |
(/.f64 (/.f64 (-.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x))) (sqrt.f64 (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2))))) (sqrt.f64 (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2))))) |
(/.f64 (/.f64 (-.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x))) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2)))) (cbrt.f64 (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2)))))) (cbrt.f64 (+.f64 (sqrt.f64 2) (/.f64 (*.f64 -1/2 x) (sqrt.f64 2))))) |
(/.f64 (/.f64 (-.f64 2 (/.f64 (*.f64 1/4 x) (/.f64 2 x))) (+.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (pow.f64 2 1/4))) (-.f64 (pow.f64 2 1/4) (sqrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3))) 1) (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3))) (*.f64 (cbrt.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))))) (cbrt.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))))))) (cbrt.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))))) |
(pow.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2))) 3) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)) 2)) |
(log.f64 (exp.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2))))) |
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)))) |
(exp.f64 (log.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)))) |
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)))) |
(fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(fma.f64 1 (sqrt.f64 2) (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) |
(fma.f64 1 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)) |
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (sqrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (sqrt.f64 2)) |
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) |
(fma.f64 (cbrt.f64 (/.f64 (*.f64 1/4 x) (/.f64 2 x))) (cbrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (sqrt.f64 2)) |
(fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) |
| Outputs |
|---|
(sqrt.f64 2) |
(*.f64 1/2 (/.f64 x (sqrt.f64 2))) |
(*.f64 1/2 (/.f64 x (sqrt.f64 2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sqrt.f64 2)))) 1) |
(/.f64 x (sqrt.f64 2)) |
(*.f64 x (pow.f64 2 -1/2)) |
(*.f64 (/.f64 x (sqrt.f64 2)) 1) |
(/.f64 x (sqrt.f64 2)) |
(*.f64 1 (/.f64 x (sqrt.f64 2))) |
(/.f64 x (sqrt.f64 2)) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sqrt.f64 2))) |
(/.f64 x (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 2))) (sqrt.f64 (/.f64 x (sqrt.f64 2)))) |
(/.f64 x (sqrt.f64 2)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sqrt.f64 2))) |
(/.f64 x (sqrt.f64 2)) |
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 2))) (cbrt.f64 (/.f64 x (/.f64 2 x)))) |
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 (/.f64 x 2) x))) |
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 x (/.f64 x 2)))) |
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 2))) |
(/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 2))) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 2))) (cbrt.f64 2)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (cbrt.f64 (/.f64 x (/.f64 2 x))) (cbrt.f64 (/.f64 x (sqrt.f64 2)))) |
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 (/.f64 x 2) x))) |
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 x (/.f64 x 2)))) |
(*.f64 (pow.f64 2 -1/2) x) |
(*.f64 x (pow.f64 2 -1/2)) |
(*.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 2))) |
(/.f64 x (sqrt.f64 2)) |
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 2)) (sqrt.f64 x)) |
(/.f64 x (sqrt.f64 2)) |
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 2)) (/.f64 (sqrt.f64 x) 1)) |
(/.f64 x (sqrt.f64 2)) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 2)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 x (sqrt.f64 2)) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(/.f64 x (sqrt.f64 2)) |
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 x (pow.f64 2 1/4))) |
(/.f64 (/.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4)) |
(/.f64 x (pow.f64 2 1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 x (cbrt.f64 (sqrt.f64 2)))) |
(/.f64 (/.f64 x (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2)) |
(/.f64 x (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))) |
(*.f64 (/.f64 x (pow.f64 2 1/4)) (/.f64 1 (pow.f64 2 1/4))) |
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 x (pow.f64 2 1/4))) |
(/.f64 (/.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4)) |
(/.f64 x (pow.f64 2 1/2)) |
(*.f64 (/.f64 x (cbrt.f64 (sqrt.f64 2))) (/.f64 1 (cbrt.f64 2))) |
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 x (cbrt.f64 (sqrt.f64 2)))) |
(/.f64 (/.f64 x (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2)) |
(/.f64 x (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))) |
(*.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 x)) |
(/.f64 x (sqrt.f64 2)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sqrt.f64 2))) |
(/.f64 x (sqrt.f64 2)) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 2)))) |
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 x (cbrt.f64 (sqrt.f64 2)))) |
(/.f64 (/.f64 x (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2)) |
(/.f64 x (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 2))) |
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 x (cbrt.f64 (sqrt.f64 2)))) |
(/.f64 (/.f64 x (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2)) |
(/.f64 x (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sqrt.f64 2))) |
(/.f64 x (sqrt.f64 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 x) (pow.f64 2 1/4))) |
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 x (pow.f64 2 1/4))) |
(/.f64 (/.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4)) |
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(/.f64 (*.f64 1 (+.f64 (pow.f64 2 3/2) (*.f64 (pow.f64 (/.f64 x (sqrt.f64 2)) 3) 1/8))) (+.f64 2 (*.f64 x (*.f64 (/.f64 1/2 (sqrt.f64 2)) (fma.f64 x (/.f64 1/2 (sqrt.f64 2)) (neg.f64 (sqrt.f64 2))))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 2)) 3) 1/8 (pow.f64 2 3/2)) (fma.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (fma.f64 x (/.f64 1/2 (sqrt.f64 2)) (neg.f64 (sqrt.f64 2))) 2)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 2)) 3) 1/8 (pow.f64 2 3/2)) (fma.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (-.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (sqrt.f64 2)) 2)) |
(/.f64 (/.f64 (+.f64 (pow.f64 2 3/2) (*.f64 1/8 (pow.f64 (/.f64 x (sqrt.f64 2)) 3))) (*.f64 (cbrt.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))))) (cbrt.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))))))) (cbrt.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 2 3/2) (*.f64 (pow.f64 (/.f64 x (sqrt.f64 2)) 3) 1/8))) (+.f64 2 (*.f64 x (*.f64 (/.f64 1/2 (sqrt.f64 2)) (fma.f64 x (/.f64 1/2 (sqrt.f64 2)) (neg.f64 (sqrt.f64 2))))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 2)) 3) 1/8 (pow.f64 2 3/2)) (fma.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (fma.f64 x (/.f64 1/2 (sqrt.f64 2)) (neg.f64 (sqrt.f64 2))) 2)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 2)) 3) 1/8 (pow.f64 2 3/2)) (fma.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (-.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (sqrt.f64 2)) 2)) |
(pow.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)) 1) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2))) 2) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2))) 3) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)) 3) 1/3) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) 2)) |
(fabs.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) |
(log.f64 (exp.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)))) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2))))) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)) 3)) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)))) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(exp.f64 (log.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)))) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)))) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(fma.f64 1 (sqrt.f64 2) (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(fma.f64 1 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (sqrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (sqrt.f64 2)) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) |
(+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (pow.f64 2 1/2)) |
(fma.f64 (cbrt.f64 (/.f64 (*.f64 1/4 x) (/.f64 2 x))) (cbrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (sqrt.f64 2)) |
(fma.f64 (cbrt.f64 (/.f64 1/4 (/.f64 (/.f64 2 x) x))) (cbrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (sqrt.f64 2)) |
(fma.f64 (cbrt.f64 (*.f64 x (/.f64 x 8))) (cbrt.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2)) |
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 1/8 x))) (cbrt.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2)) |
(fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) |
(fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
Compiled 5833 to 5092 computations (12.7% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 241 | 3 | 244 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 3 | 3 |
| Total | 242 | 6 | 248 |
| Status | Error | Program |
|---|---|---|
| ▶ | 23.1b | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
| ▶ | 62.1b | (*.f64 1/2 (/.f64 x (sqrt.f64 2))) |
| ✓ | 22.5b | (sqrt.f64 (+.f64 2 x)) |
| ✓ | 0.0b | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| ✓ | 18.7b | (sqrt.f64 2) |
| ▶ | 23.1b | (cbrt.f64 (pow.f64 (+.f64 2 x) 3/2)) |
Compiled 37 to 32 computations (13.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (+.f64 2 x) 3/2) |
| ✓ | 0.7b | (cbrt.f64 (pow.f64 (+.f64 2 x) 3/2)) |
Compiled 18 to 14 computations (22.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (pow.f64 (+.f64 2 x) 3/2) |
| 0.0ms | x | @ | 0 | (pow.f64 (+.f64 2 x) 3/2) |
| 0.0ms | x | @ | inf | (pow.f64 (+.f64 2 x) 3/2) |
| 0.0ms | x | @ | inf | (cbrt.f64 (pow.f64 (+.f64 2 x) 3/2)) |
| 0.0ms | x | @ | 0 | (cbrt.f64 (pow.f64 (+.f64 2 x) 3/2)) |
| 1× | batch-egg-rewrite |
| 1778× | add-sqr-sqrt |
| 1738× | *-un-lft-identity |
| 1646× | add-cube-cbrt |
| 1632× | add-cbrt-cube |
| 182× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 30 |
| 1 | 192 | 24 |
| 2 | 2303 | 24 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2)) |
(pow.f64 (+.f64 2 x) 3/2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (sqrt.f64 (+.f64 2 x))))))) (#(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 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 2 x) 3/4) 1/3) (pow.f64 (pow.f64 (+.f64 2 x) 3/4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 2 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 x) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 x) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 2 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 x) 3/4) (pow.f64 (+.f64 2 x) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 x) (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 x) (cbrt.f64 (+.f64 2 x))) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 2 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3/2) (pow.f64 (sqrt.f64 (+.f64 2 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 2 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 2 x) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) 3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 2 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/2 (log.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 2 x) 3/2))))))) |
| 1× | egg-herbie |
| 1642× | associate-/l* |
| 1196× | associate-*r* |
| 1038× | associate-*l* |
| 1008× | associate-/r* |
| 620× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 1646 |
| 1 | 389 | 1592 |
| 2 | 1175 | 1424 |
| 3 | 4997 | 1424 |
| 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)))))) |
(sqrt.f64 8) |
(+.f64 (*.f64 3/4 (*.f64 (sqrt.f64 8) x)) (sqrt.f64 8)) |
(+.f64 (*.f64 3/4 (*.f64 (sqrt.f64 8) x)) (+.f64 (*.f64 3/32 (*.f64 (sqrt.f64 8) (pow.f64 x 2))) (sqrt.f64 8))) |
(+.f64 (*.f64 -1/128 (*.f64 (sqrt.f64 8) (pow.f64 x 3))) (+.f64 (*.f64 3/4 (*.f64 (sqrt.f64 8) x)) (+.f64 (*.f64 3/32 (*.f64 (sqrt.f64 8) (pow.f64 x 2))) (sqrt.f64 8)))) |
(sqrt.f64 (pow.f64 x 3)) |
(+.f64 (*.f64 3 (sqrt.f64 x)) (sqrt.f64 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 3/2 (sqrt.f64 (/.f64 1 x))))) |
(+.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/2 (sqrt.f64 (/.f64 1 x)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 3 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))) |
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 3 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))) |
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 3 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 1) |
(*.f64 (sqrt.f64 (+.f64 2 x)) 1) |
(*.f64 1 (sqrt.f64 (+.f64 2 x))) |
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (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 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x)))) |
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 2 x))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 3/4) 1/3) (pow.f64 (pow.f64 (+.f64 2 x) 3/4) 1/3)) |
(/.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))))) |
(pow.f64 (+.f64 2 x) 1/2) |
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3) |
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1) |
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 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))))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) |
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) |
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 2 x))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x)))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 x) 3/2))) 1) |
(*.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))) |
(*.f64 (pow.f64 (+.f64 2 x) 3/2) 1) |
(*.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 2 x)) |
(*.f64 1 (pow.f64 (+.f64 2 x) 3/2)) |
(*.f64 (pow.f64 (+.f64 2 x) 3/4) (pow.f64 (+.f64 2 x) 3/4)) |
(*.f64 (*.f64 (+.f64 2 x) (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) |
(*.f64 (*.f64 (+.f64 2 x) (cbrt.f64 (+.f64 2 x))) (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) |
(*.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 2 x) 3/2)) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3/2) (pow.f64 (sqrt.f64 (+.f64 2 x)) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2)) |
(sqrt.f64 (pow.f64 (+.f64 2 x) 3)) |
(log.f64 (exp.f64 (pow.f64 (+.f64 2 x) 3/2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 2 x) 3/2)))) |
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) 3/2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 2 x) 3/2))) |
(exp.f64 (*.f64 3/2 (log.f64 (+.f64 2 x)))) |
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 2 x))) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 2 x) 3/2))) |
| 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)))) |
(fma.f64 -1/16 (/.f64 x (/.f64 (sqrt.f64 2) x)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 x (/.f64 (sqrt.f64 2) 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 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)))))) |
(fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 -1/16 (/.f64 x (/.f64 (sqrt.f64 2) x)) (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)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 x (/.f64 (sqrt.f64 2) x)) (sqrt.f64 2)))) |
(sqrt.f64 8) |
(+.f64 (*.f64 3/4 (*.f64 (sqrt.f64 8) x)) (sqrt.f64 8)) |
(fma.f64 3/4 (*.f64 x (sqrt.f64 8)) (sqrt.f64 8)) |
(*.f64 (+.f64 (*.f64 x 3/4) 1) (sqrt.f64 8)) |
(+.f64 (*.f64 3/4 (*.f64 (sqrt.f64 8) x)) (+.f64 (*.f64 3/32 (*.f64 (sqrt.f64 8) (pow.f64 x 2))) (sqrt.f64 8))) |
(fma.f64 3/4 (*.f64 x (sqrt.f64 8)) (fma.f64 3/32 (*.f64 (*.f64 x x) (sqrt.f64 8)) (sqrt.f64 8))) |
(fma.f64 3/4 (*.f64 x (sqrt.f64 8)) (fma.f64 3/32 (*.f64 x (*.f64 x (sqrt.f64 8))) (sqrt.f64 8))) |
(+.f64 (sqrt.f64 8) (*.f64 (sqrt.f64 8) (+.f64 (*.f64 x 3/4) (*.f64 x (*.f64 x 3/32))))) |
(+.f64 (sqrt.f64 8) (*.f64 (sqrt.f64 8) (+.f64 (*.f64 x (*.f64 x 3/32)) (*.f64 x 3/4)))) |
(+.f64 (*.f64 -1/128 (*.f64 (sqrt.f64 8) (pow.f64 x 3))) (+.f64 (*.f64 3/4 (*.f64 (sqrt.f64 8) x)) (+.f64 (*.f64 3/32 (*.f64 (sqrt.f64 8) (pow.f64 x 2))) (sqrt.f64 8)))) |
(fma.f64 -1/128 (*.f64 (pow.f64 x 3) (sqrt.f64 8)) (fma.f64 3/4 (*.f64 x (sqrt.f64 8)) (fma.f64 3/32 (*.f64 (*.f64 x x) (sqrt.f64 8)) (sqrt.f64 8)))) |
(fma.f64 -1/128 (*.f64 (pow.f64 x 3) (sqrt.f64 8)) (fma.f64 3/4 (*.f64 x (sqrt.f64 8)) (fma.f64 3/32 (*.f64 x (*.f64 x (sqrt.f64 8))) (sqrt.f64 8)))) |
(+.f64 (sqrt.f64 8) (fma.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 8) -1/128) (*.f64 (sqrt.f64 8) (+.f64 (*.f64 x 3/4) (*.f64 x (*.f64 x 3/32)))))) |
(+.f64 (sqrt.f64 8) (fma.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 8) -1/128) (*.f64 (sqrt.f64 8) (+.f64 (*.f64 x (*.f64 x 3/32)) (*.f64 x 3/4))))) |
(sqrt.f64 (pow.f64 x 3)) |
(pow.f64 x 3/2) |
(+.f64 (*.f64 3 (sqrt.f64 x)) (sqrt.f64 (pow.f64 x 3))) |
(fma.f64 3 (sqrt.f64 x) (sqrt.f64 (pow.f64 x 3))) |
(fma.f64 3 (sqrt.f64 x) (pow.f64 x 3/2)) |
(+.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 3/2 (sqrt.f64 (/.f64 1 x))))) |
(+.f64 (fma.f64 3 (sqrt.f64 x) (sqrt.f64 (pow.f64 x 3))) (*.f64 3/2 (sqrt.f64 (/.f64 1 x)))) |
(fma.f64 3 (sqrt.f64 x) (fma.f64 3/2 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (pow.f64 x 3)))) |
(fma.f64 3 (sqrt.f64 x) (fma.f64 3/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 x 3/2))) |
(+.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/2 (sqrt.f64 (/.f64 1 x)))))) |
(+.f64 (fma.f64 3 (sqrt.f64 x) (sqrt.f64 (pow.f64 x 3))) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 3/2 (sqrt.f64 (/.f64 1 x))))) |
(fma.f64 3 (sqrt.f64 x) (fma.f64 3/2 (sqrt.f64 (/.f64 1 x)) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (pow.f64 x 3/2)))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) |
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 3 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))) |
(+.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 3 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))) |
(fma.f64 3 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(fma.f64 3 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) x) (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2))) |
(fma.f64 3 (/.f64 (pow.f64 (/.f64 -1 x) -3/2) (/.f64 x (pow.f64 -1 3/2))) (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2))) |
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 3 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))) |
(+.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (*.f64 3 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))) |
(+.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 3 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (/.f64 3/2 (/.f64 (*.f64 x x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))) |
(fma.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) x) (+.f64 3 (/.f64 3/2 x)))) |
(fma.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2) (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) -3/2) (/.f64 x (pow.f64 -1 3/2))) (+.f64 3 (/.f64 3/2 x)))) |
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 3 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))) |
(fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (+.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (*.f64 3 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))))) |
(+.f64 (fma.f64 3 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (/.f64 3/2 (/.f64 (*.f64 x x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) (fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) |
(fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) (pow.f64 x 3)) (fma.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) x) (+.f64 3 (/.f64 3/2 x))))) |
(fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) (pow.f64 x 3)) (fma.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2) (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) -3/2) (/.f64 x (pow.f64 -1 3/2))) (+.f64 3 (/.f64 3/2 x))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 1) |
(sqrt.f64 (+.f64 2 x)) |
(*.f64 (sqrt.f64 (+.f64 2 x)) 1) |
(sqrt.f64 (+.f64 2 x)) |
(*.f64 1 (sqrt.f64 (+.f64 2 x))) |
(sqrt.f64 (+.f64 2 x)) |
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) |
(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 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x)))) |
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x)))) |
(*.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (cbrt.f64 (+.f64 2 x)))) |
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 2 x))) |
(sqrt.f64 (+.f64 2 x)) |
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 3/4) 1/3) (pow.f64 (pow.f64 (+.f64 2 x) 3/4) 1/3)) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 3/4)) (cbrt.f64 (pow.f64 (+.f64 2 x) 3/4))) |
(/.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 x 3) 8)) (sqrt.f64 (+.f64 4 (*.f64 x (+.f64 x -2))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (+.f64 x -2) 4))) |
(pow.f64 (+.f64 2 x) 1/2) |
(sqrt.f64 (+.f64 2 x)) |
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3) |
(sqrt.f64 (+.f64 2 x)) |
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1) |
(sqrt.f64 (+.f64 2 x)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 2) |
(sqrt.f64 (+.f64 2 x)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3) |
(sqrt.f64 (+.f64 2 x)) |
(sqrt.f64 (+.f64 2 x)) |
(fabs.f64 (sqrt.f64 (+.f64 2 x))) |
(sqrt.f64 (+.f64 2 x)) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) |
(sqrt.f64 (+.f64 2 x)) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x))))) |
(sqrt.f64 (+.f64 2 x)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) |
(sqrt.f64 (+.f64 2 x)) |
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) |
(sqrt.f64 (+.f64 2 x)) |
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 2 x))) 1/3)) |
(sqrt.f64 (+.f64 2 x)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1)) |
(sqrt.f64 (+.f64 2 x)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x)))) |
(sqrt.f64 (+.f64 2 x)) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 x) 3/2))) 1) |
(pow.f64 (+.f64 2 x) 3/2) |
(*.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))) |
(pow.f64 (+.f64 2 x) 3/2) |
(*.f64 (pow.f64 (+.f64 2 x) 3/2) 1) |
(pow.f64 (+.f64 2 x) 3/2) |
(*.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 2 x)) |
(pow.f64 (+.f64 2 x) 3/2) |
(*.f64 1 (pow.f64 (+.f64 2 x) 3/2)) |
(pow.f64 (+.f64 2 x) 3/2) |
(*.f64 (pow.f64 (+.f64 2 x) 3/4) (pow.f64 (+.f64 2 x) 3/4)) |
(pow.f64 (+.f64 2 x) 3/2) |
(*.f64 (*.f64 (+.f64 2 x) (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) |
(pow.f64 (+.f64 2 x) 3/2) |
(*.f64 (*.f64 (+.f64 2 x) (cbrt.f64 (+.f64 2 x))) (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (*.f64 (+.f64 2 x) (cbrt.f64 (+.f64 2 x)))) |
(*.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 2 x) 3/2)) |
(pow.f64 (+.f64 2 x) 3/2) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3/2) (pow.f64 (sqrt.f64 (+.f64 2 x)) 3/2)) |
(pow.f64 (+.f64 2 x) 3/2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2)) |
(sqrt.f64 (pow.f64 (+.f64 2 x) 3)) |
(pow.f64 (+.f64 2 x) 3/2) |
(log.f64 (exp.f64 (pow.f64 (+.f64 2 x) 3/2))) |
(pow.f64 (+.f64 2 x) 3/2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 2 x) 3/2)))) |
(pow.f64 (+.f64 2 x) 3/2) |
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) 3/2) 3)) |
(pow.f64 (+.f64 2 x) 3/2) |
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 2 x) 3/2))) |
(pow.f64 (+.f64 2 x) 3/2) |
(exp.f64 (*.f64 3/2 (log.f64 (+.f64 2 x)))) |
(pow.f64 (+.f64 2 x) 3/2) |
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 2 x))) 1)) |
(pow.f64 (+.f64 2 x) 3/2) |
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 2 x) 3/2))) |
(pow.f64 (+.f64 2 x) 3/2) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (/.f64 x (sqrt.f64 2)) |
Compiled 16 to 13 computations (18.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (+.f64 2 x)) | |
| ✓ | 0.0b | (+.f64 1 (sqrt.f64 (+.f64 2 x))) |
| ✓ | 0.6b | (-.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 | @ | 0 | (+.f64 1 (sqrt.f64 (+.f64 2 x))) |
| 0.0ms | x | @ | inf | (+.f64 1 (sqrt.f64 (+.f64 2 x))) |
| 0.0ms | x | @ | -inf | (+.f64 1 (sqrt.f64 (+.f64 2 x))) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
| 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))))) 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(+.f64 (sqrt.f64 (+.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) 1) (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (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))))))))) (#(struct:change #<rule egg-rr> (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))))))))) (#(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)))) |
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(/.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 (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 (*.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 (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 (*.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 (*.f64 (+.f64 1 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 (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 (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 (*.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 (*.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 (*.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)) |
(/.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 (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 (-.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 (-.f64 -1 x) 1) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(/.f64 (/.f64 (+.f64 1 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 (-.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 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) 1) (+.f64 3 (-.f64 x (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 (+.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))))) |
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(*.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) |
Compiled 10800 to 9309 computations (13.8% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 518 | 3 | 521 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 518 | 9 | 527 |
| Status | Error | Program |
|---|---|---|
| ▶ | 23.7b | (-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
| ▶ | 19.3b | (-.f64 (+.f64 (sqrt.f64 2) 1) 1) |
| ✓ | 23.1b | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
| ✓ | 62.1b | (*.f64 1/2 (/.f64 x (sqrt.f64 2))) |
| ▶ | 62.1b | (*.f64 1/2 (*.f64 (pow.f64 2 -1/2) x)) |
| ✓ | 22.5b | (sqrt.f64 (+.f64 2 x)) |
| ✓ | 0.0b | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| ✓ | 18.7b | (sqrt.f64 2) |
| ✓ | 23.1b | (cbrt.f64 (pow.f64 (+.f64 2 x) 3/2)) |
Compiled 65 to 57 computations (12.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (*.f64 (pow.f64 2 -1/2) x) |
Compiled 20 to 17 computations (15% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (pow.f64 2 -1/2) x) |
| 0.0ms | x | @ | inf | (*.f64 (pow.f64 2 -1/2) x) |
| 0.0ms | x | @ | -inf | (*.f64 (pow.f64 2 -1/2) x) |
| 1× | batch-egg-rewrite |
| 1250× | add-sqr-sqrt |
| 1224× | *-un-lft-identity |
| 1148× | add-cube-cbrt |
| 1132× | add-cbrt-cube |
| 1120× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 146 | 11 |
| 2 | 1617 | 11 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 2 -1/2) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) x))))))) |
| 1× | egg-herbie |
| 1026× | *-commutative |
| 880× | log-prod |
| 778× | associate--l+ |
| 632× | distribute-rgt-in |
| 632× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 253 |
| 1 | 79 | 253 |
| 2 | 273 | 253 |
| 3 | 1578 | 253 |
| 4 | 4488 | 253 |
| 5 | 6754 | 253 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 1/2) x) |
(*.f64 (sqrt.f64 1/2) x) |
(*.f64 (sqrt.f64 1/2) x) |
(*.f64 (sqrt.f64 1/2) x) |
(*.f64 (sqrt.f64 1/2) x) |
(*.f64 (sqrt.f64 1/2) x) |
(*.f64 (sqrt.f64 1/2) x) |
(*.f64 (sqrt.f64 1/2) x) |
(*.f64 (sqrt.f64 1/2) x) |
(*.f64 (sqrt.f64 1/2) x) |
(*.f64 (sqrt.f64 1/2) x) |
(*.f64 (sqrt.f64 1/2) x) |
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) x)) 1) |
(pow.f64 (*.f64 (sqrt.f64 1/2) x) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)) 3) |
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) x) 3) 1/3) |
(sqrt.f64 (*.f64 (*.f64 x x) 1/2)) |
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 1/2))) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) x))) |
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) x))) |
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) x))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 1/2) x) |
(*.f64 (sqrt.f64 1/2) x) |
(*.f64 (sqrt.f64 1/2) x) |
(*.f64 (sqrt.f64 1/2) x) |
(*.f64 (sqrt.f64 1/2) x) |
(*.f64 (sqrt.f64 1/2) x) |
(*.f64 (sqrt.f64 1/2) x) |
(*.f64 (sqrt.f64 1/2) x) |
(*.f64 (sqrt.f64 1/2) x) |
(*.f64 (sqrt.f64 1/2) x) |
(*.f64 (sqrt.f64 1/2) x) |
(*.f64 (sqrt.f64 1/2) x) |
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) x)) 1) |
(*.f64 (sqrt.f64 1/2) x) |
(pow.f64 (*.f64 (sqrt.f64 1/2) x) 1) |
(*.f64 (sqrt.f64 1/2) x) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) x)) 2) |
(*.f64 (sqrt.f64 1/2) x) |
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)) 3) |
(*.f64 (sqrt.f64 1/2) x) |
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) x) 3) 1/3) |
(*.f64 (sqrt.f64 1/2) x) |
(sqrt.f64 (*.f64 (*.f64 x x) 1/2)) |
(*.f64 (sqrt.f64 1/2) x) |
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 1/2))) |
(*.f64 (sqrt.f64 1/2) x) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) x) 3)) |
(*.f64 (sqrt.f64 1/2) x) |
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) x))) |
(*.f64 (sqrt.f64 1/2) x) |
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) x))) |
(*.f64 (sqrt.f64 1/2) x) |
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) x))) |
(*.f64 (sqrt.f64 1/2) x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (-.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) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (+.f64 2 x)) | |
| ✓ | 0.0b | (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) |
| ✓ | 0.6b | (-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
| ✓ | 1.0b | (-.f64 1 (sqrt.f64 (+.f64 2 x))) |
Compiled 43 to 34 computations (20.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (-.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) |
| 2.0ms | x | @ | -inf | (-.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 |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (-.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (+.f64 1 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(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 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (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 (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 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 -1 x))) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (-.f64 -1 (pow.f64 x 3))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 1 (*.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (+.f64 1 x)) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) -1) (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (*.f64 (+.f64 1 x) 1)) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (*.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (+.f64 1 (*.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (/.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (-.f64 (*.f64 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (*.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (+.f64 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (-.f64 (+.f64 3 x) (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (-.f64 (pow.f64 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) 3) (pow.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 3))) (+.f64 (*.f64 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (+.f64 (*.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 x (-.f64 1 (sqrt.f64 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x)))))))) (#(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 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 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 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)))) (#(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 neg.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))))) (#(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 (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)))) |
(-.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 1 (neg.f64 (sqrt.f64 (+.f64 2 x)))) |
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1)) |
(+.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1) |
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1) 1) |
(+.f64 (-.f64 1 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (-.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)) |
(+.f64 (-.f64 1 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (+.f64 1 (/.f64 x (-.f64 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 (+.f64 2 (sqrt.f64 (+.f64 2 x))))) |
(+.f64 (-.f64 1 (/.f64 (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 (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 (-.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
(*.f64 (-.f64 -1 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (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 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)))) |
(*.f64 (/.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) |
(*.f64 (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 -1 x))) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (-.f64 -1 x)))) |
(*.f64 (/.f64 (-.f64 -1 x) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (-.f64 -1 x)))) |
(*.f64 (/.f64 (-.f64 -1 x) (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 x -1))) |
(*.f64 (/.f64 (-.f64 -1 x) (-.f64 -1 (pow.f64 x 3))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 1 (*.f64 x (+.f64 x -1))))) |
(*.f64 (/.f64 (-.f64 -1 x) (+.f64 1 x)) (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) |
(*.f64 (/.f64 (-.f64 -1 x) -1) (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))) |
(*.f64 (/.f64 (-.f64 -1 x) (*.f64 (+.f64 1 x) 1)) (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) |
(*.f64 (/.f64 (-.f64 -1 x) (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (+.f64 x -1)) |
(*.f64 (/.f64 (-.f64 -1 x) (*.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (+.f64 1 (*.f64 x (+.f64 x -1)))) |
(*.f64 (/.f64 (-.f64 -1 x) (/.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 x) (-.f64 (*.f64 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (*.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (+.f64 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) |
(*.f64 (/.f64 (-.f64 -1 x) (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (-.f64 (+.f64 3 x) (sqrt.f64 (+.f64 2 x)))) |
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(/.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 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1))))) |
(/.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 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 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 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) 1) (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) 1)))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))) (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)))))) |
(pow.f64 (+.f64 2 x) 1/2) |
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1) |
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3) |
(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)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x)))) |
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1) |
(fma.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) -1) |
(fma.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1) |
(+.f64 1 (sqrt.f64 (+.f64 2 x))) |
(+.f64 (sqrt.f64 (+.f64 2 x)) 1) |
(+.f64 -1 (+.f64 2 (sqrt.f64 (+.f64 2 x)))) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 0) |
(+.f64 0 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) -1) |
(+.f64 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) |
(+.f64 (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) |
(-.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x)))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 0) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x))) 1) |
(-.f64 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(-.f64 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (-.f64 (-.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))) -1) 1)) |
(-.f64 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (-.f64 (+.f64 1 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))) 1)) |
(-.f64 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (+.f64 (-.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) 1)) |
(-.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))) (-.f64 (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x)))) 1)) |
(-.f64 (/.f64 (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 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) 1)) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (-.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (+.f64 1 (/.f64 x (-.f64 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 (+.f64 2 (sqrt.f64 (+.f64 2 x))))) |
(-.f64 (+.f64 1 (/.f64 (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 (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 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
(*.f64 (sqrt.f64 (-.f64 -1 x)) (*.f64 (sqrt.f64 (-.f64 -1 x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) |
(*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (cbrt.f64 (-.f64 -1 x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) |
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) |
(*.f64 (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)))) 1)) |
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x)) |
(*.f64 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (+.f64 1 x)) |
(*.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (/.f64 (-.f64 -1 x) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) |
(*.f64 (/.f64 (-.f64 -1 x) (-.f64 -1 x)) (+.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(*.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x))) |
(*.f64 (/.f64 1 (-.f64 -1 x)) (*.f64 (-.f64 -1 x) (+.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (*.f64 (-.f64 -1 x) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) 1) (/.f64 (sqrt.f64 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 -1 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (/.f64 (sqrt.f64 (-.f64 -1 x)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (/.f64 (cbrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (-.f64 -1 x))) |
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2))) (cbrt.f64 (-.f64 -1 x))) |
(*.f64 (/.f64 (-.f64 -1 x) (+.f64 1 x)) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) |
(*.f64 (/.f64 (-.f64 -1 x) (neg.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)))) |
(*.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) (neg.f64 (sqrt.f64 (+.f64 2 x)))))) (+.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(*.f64 (/.f64 (-.f64 -1 x) (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) (neg.f64 (sqrt.f64 (+.f64 2 x)))) (neg.f64 (sqrt.f64 (+.f64 2 x)))))) |
(*.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 x) 1) (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 2 x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 x) 1) (neg.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (-.f64 1 (*.f64 x x))) (-.f64 -1 x)) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) (neg.f64 x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.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 (-.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 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 (/.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) (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 (/.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 (+.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)))) |
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(*.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))) |
Compiled 13434 to 11676 computations (13.1% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 519 | 6 | 525 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 5 | 8 |
| Total | 522 | 12 | 534 |
| Status | Error | Program |
|---|---|---|
| 19.3b | (/.f64 2 (sqrt.f64 2)) | |
| 23.1b | (-.f64 (/.f64 (-.f64 -1 x) (/.f64 (/.f64 (+.f64 -1 (*.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 1 x))) 1) | |
| 23.7b | (-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1))) 1) | |
| ✓ | 23.7b | (-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
| 24.2b | (-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 2))) 1) | |
| 19.9b | (-.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 2))) 1) | |
| ✓ | 23.1b | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
| 62.1b | (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) | |
| ✓ | 22.5b | (sqrt.f64 (+.f64 2 x)) |
| ✓ | 0.0b | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| ✓ | 18.7b | (sqrt.f64 2) |
| ✓ | 23.1b | (cbrt.f64 (pow.f64 (+.f64 2 x) 3/2)) |
Compiled 115 to 100 computations (13% saved)
| Inputs |
|---|
(sqrt.f64 2) |
(sqrt.f64 (+.f64 2 x)) |
(/.f64 2 (sqrt.f64 2)) |
(*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) |
(*.f64 1/2 (/.f64 x (sqrt.f64 2))) |
(-.f64 (+.f64 (sqrt.f64 2) 1) 1) |
(*.f64 1/2 (*.f64 (pow.f64 2 -1/2) x)) |
(-.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 2))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 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) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2)) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 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:
| 11.0ms | x |
| 4.0ms | (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
| 3.0ms | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
| 0.0b | 1 | (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
Compiled 179 to 150 computations (16.2% saved)
| Inputs |
|---|
(sqrt.f64 2) |
(sqrt.f64 (+.f64 2 x)) |
(/.f64 2 (sqrt.f64 2)) |
(*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) |
(*.f64 1/2 (/.f64 x (sqrt.f64 2))) |
(-.f64 (+.f64 (sqrt.f64 2) 1) 1) |
(*.f64 1/2 (*.f64 (pow.f64 2 -1/2) x)) |
(-.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 2))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 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) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2)) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
| Outputs |
|---|
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
1 calls:
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
Compiled 134 to 115 computations (14.2% saved)
Total -43.7b remaining (-234%)
Threshold costs -43.7b (-234%)
| Inputs |
|---|
(sqrt.f64 2) |
(sqrt.f64 (+.f64 2 x)) |
(/.f64 2 (sqrt.f64 2)) |
(*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) |
(*.f64 1/2 (/.f64 x (sqrt.f64 2))) |
(-.f64 (+.f64 (sqrt.f64 2) 1) 1) |
(*.f64 1/2 (*.f64 (pow.f64 2 -1/2) x)) |
(-.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 2))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 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) |
| Outputs |
|---|
(sqrt.f64 2) |
1 calls:
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 18.7b | 1 | x |
Compiled 114 to 98 computations (14% 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)
| 2× | egg-herbie |
| 1440× | associate-/l* |
| 1440× | associate-/l* |
| 1382× | associate-*r* |
| 1382× | associate-*r* |
| 1160× | associate-/r* |
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 |
| 0 | 13 | 25 |
| 1 | 27 | 25 |
| 2 | 36 | 25 |
| 3 | 62 | 25 |
| 4 | 135 | 21 |
| 5 | 349 | 15 |
| 6 | 1238 | 15 |
| 1× | node limit |
| 1× | node limit |
Compiled 126 to 83 computations (34.1% saved)
Compiled 16 to 12 computations (25% saved)
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