Time bar (total: 32.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 74.9% | 25.1% | 6 |
| 0% | 56.1% | 43.9% | 7 |
| 0% | 42.1% | 57.9% | 8 |
| 0.4% | 31.2% | 68.4% | 9 |
| 0.6% | 25.7% | 73.7% | 10 |
| 0.9% | 21.1% | 78.1% | 11 |
| 1.3% | 17% | 81.7% | 12 |
Compiled 36 to 28 computations (22.2% saved)
| 4.9s | 15344× | body | 256 | invalid |
| 2.6s | 4391× | body | 512 | valid |
| 1.5s | 1824× | body | 1024 | valid |
| 684.0ms | 2041× | body | 256 | valid |
| 2× | egg-herbie |
| 799× | sub-neg_binary64 |
| 524× | fma-neg_binary64 |
| 468× | distribute-rgt-in_binary64 |
| 401× | associate-+l+_binary64 |
| 382× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 350 |
| 1 | 141 | 350 |
| 2 | 537 | 350 |
| 3 | 2852 | 350 |
| 4 | 4688 | 350 |
| 5 | 7021 | 350 |
| 0 | 4 | 4 |
| 1 | 4 | 4 |
| 1× | unsound |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
3 |
| Outputs |
|---|
0 |
1 |
0 |
2 |
0 |
3 |
0 |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 1 z))))) (sqrt.f64 z)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 t)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 1 z))))) (sqrt.f64 z)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 t)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 1 z))))) (sqrt.f64 z)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 t)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 1 z))))) (sqrt.f64 z)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 t)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 1 z))))) (sqrt.f64 z)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 t)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 1 z))))) (sqrt.f64 z)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 t)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 1 z))))) (sqrt.f64 z)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 t)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)))) |
(sort x y z t)
Compiled 39 to 31 computations (20.5% saved)
| 1× | egg-herbie |
| 687× | fma-def_binary64 |
| 615× | distribute-neg-in_binary64 |
| 542× | associate-+r-_binary64 |
| 537× | cancel-sign-sub-inv_binary64 |
| 504× | associate-+l-_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 50 |
| 1 | 54 | 50 |
| 2 | 168 | 50 |
| 3 | 974 | 50 |
| 4 | 4916 | 50 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 1 z))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))))) |
Compiled 66 to 46 computations (30.3% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 45.7b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))))) |
| ▶ | 6.0b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
Compiled 70 to 54 computations (22.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t))) |
| ✓ | 1.3b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))))) |
| ✓ | 12.6b | (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t))))) |
| ✓ | 14.7b | (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))) |
Compiled 137 to 83 computations (39.4% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | -inf | (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t))) |
| 1.0ms | t | @ | inf | (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))) |
| 1.0ms | t | @ | -inf | (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t))))) |
| 1.0ms | t | @ | -inf | (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))) |
| 1.0ms | x | @ | -inf | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))))) |
| 1× | batch-egg-rewrite |
| 321× | add-sqr-sqrt_binary64 |
| 318× | *-un-lft-identity_binary64 |
| 318× | pow1_binary64 |
| 297× | add-cbrt-cube_binary64 |
| 297× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 106 |
| 1 | 603 | 106 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))))) |
(-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 z)) (sqrt.f64 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 t (-.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))))) (/.f64 (pow.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))) 2) (-.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))))) 2) (cbrt.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))))) (sqrt.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))) (fma.f64 (neg.f64 (pow.f64 (+.f64 t 1) 1/4)) (pow.f64 (+.f64 t 1) 1/4) (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (sqrt.f64 z) (neg.f64 (*.f64 (sqrt.f64 (+.f64 t 1)) 1))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 t 1))) 1 (*.f64 (sqrt.f64 (+.f64 t 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)) (neg.f64 (*.f64 (sqrt.f64 (+.f64 t 1)) 1))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 t 1))) 1 (*.f64 (sqrt.f64 (+.f64 t 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 z 1/4) (pow.f64 z 1/4) (neg.f64 (*.f64 (sqrt.f64 (+.f64 t 1)) 1))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 t 1))) 1 (*.f64 (sqrt.f64 (+.f64 t 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (sqrt.f64 z) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 t 1))) (cbrt.f64 (+.f64 t 1))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 t 1)))) (cbrt.f64 (+.f64 t 1)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 t 1))) (cbrt.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 t 1))) (cbrt.f64 (+.f64 t 1))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 t 1)))) (cbrt.f64 (+.f64 t 1)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 t 1))) (cbrt.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 z 1/4) (pow.f64 z 1/4) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 t 1))) (cbrt.f64 (+.f64 t 1))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 t 1)))) (cbrt.f64 (+.f64 t 1)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 t 1))) (cbrt.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))) (sqrt.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 z (+.f64 (+.f64 t 1) (sqrt.f64 (*.f64 z (+.f64 t 1))))) (-.f64 (pow.f64 z 3/2) (pow.f64 (+.f64 t 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))) (-.f64 z (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 z 3/2) (pow.f64 (+.f64 t 1) 3/2)) (+.f64 z (+.f64 (+.f64 t 1) (sqrt.f64 (*.f64 z (+.f64 t 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 z (+.f64 t 1)) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 z 3/2) (pow.f64 (+.f64 t 1) 3/2))) (neg.f64 (+.f64 z (+.f64 (+.f64 t 1) (sqrt.f64 (*.f64 z (+.f64 t 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 z (+.f64 t 1))) (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 z 3/2) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 t 1))) 3)) (+.f64 z (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 t 1))) (neg.f64 (sqrt.f64 (+.f64 t 1)))) (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 (+.f64 t 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 z) (neg.f64 (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z 1/4) (pow.f64 z 1/4) (neg.f64 (sqrt.f64 (+.f64 t 1)))))))) |
| 1× | egg-herbie |
| 689× | sub-neg_binary64 |
| 657× | fma-def_binary64 |
| 639× | fma-neg_binary64 |
| 559× | associate-*l*_binary64 |
| 455× | associate--l+_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 493 |
| 1 | 258 | 491 |
| 2 | 779 | 488 |
| 3 | 3013 | 481 |
| 4 | 4855 | 480 |
| 5 | 7234 | 480 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (sqrt.f64 z) 1) |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 1 t))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(*.f64 -1 (sqrt.f64 (+.f64 1 t))) |
(-.f64 (sqrt.f64 z) 1) |
(-.f64 (+.f64 (sqrt.f64 z) (*.f64 -1/2 t)) 1) |
(-.f64 (+.f64 (sqrt.f64 z) (+.f64 (*.f64 1/8 (pow.f64 t 2)) (*.f64 -1/2 t))) 1) |
(-.f64 (+.f64 (sqrt.f64 z) (+.f64 (*.f64 1/8 (pow.f64 t 2)) (+.f64 (*.f64 -1/16 (pow.f64 t 3)) (*.f64 -1/2 t)))) 1) |
| Outputs |
|---|
(-.f64 (sqrt.f64 z) 1) |
(+.f64 (sqrt.f64 z) -1) |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 1 t))) |
(-.f64 (sqrt.f64 t) (hypot.f64 1 (sqrt.f64 t))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) |
(-.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t)) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) |
(-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
(+.f64 1 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 z 1))) (sqrt.f64 (+.f64 1 y))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 z 1))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) |
(+.f64 (+.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 t))) (sqrt.f64 (+.f64 1 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 z 1))) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 t)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))) |
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 y))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) |
(+.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) |
(+.f64 1 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 z 1))) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) |
(+.f64 (+.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 (+.f64 z 1))) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) |
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 z 1))) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) |
(+.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))) |
(+.f64 1 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 t))) (+.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (sqrt.f64 (+.f64 1 t))) (sqrt.f64 x))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))) |
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 t))) (+.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (sqrt.f64 (+.f64 1 t))) (sqrt.f64 x)))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(-.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 (+.f64 1 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 (+.f64 1 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
(+.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) |
(+.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) |
(*.f64 -1 (sqrt.f64 (+.f64 1 t))) |
(neg.f64 (sqrt.f64 (+.f64 1 t))) |
(neg.f64 (hypot.f64 1 (sqrt.f64 t))) |
(-.f64 (sqrt.f64 z) 1) |
(+.f64 (sqrt.f64 z) -1) |
(-.f64 (+.f64 (sqrt.f64 z) (*.f64 -1/2 t)) 1) |
(+.f64 (sqrt.f64 z) (-.f64 (*.f64 t -1/2) 1)) |
(+.f64 -1 (fma.f64 t -1/2 (sqrt.f64 z))) |
(+.f64 (sqrt.f64 z) (fma.f64 t -1/2 -1)) |
(-.f64 (+.f64 (sqrt.f64 z) (+.f64 (*.f64 1/8 (pow.f64 t 2)) (*.f64 -1/2 t))) 1) |
(+.f64 (sqrt.f64 z) (-.f64 (fma.f64 1/8 (*.f64 t t) (*.f64 t -1/2)) 1)) |
(+.f64 (sqrt.f64 z) (+.f64 (*.f64 t (*.f64 t 1/8)) (fma.f64 t -1/2 -1))) |
(+.f64 (sqrt.f64 z) (fma.f64 t (*.f64 t 1/8) (fma.f64 t -1/2 -1))) |
(fma.f64 t (fma.f64 t 1/8 -1/2) (+.f64 (sqrt.f64 z) -1)) |
(-.f64 (+.f64 (sqrt.f64 z) (+.f64 (*.f64 1/8 (pow.f64 t 2)) (+.f64 (*.f64 -1/16 (pow.f64 t 3)) (*.f64 -1/2 t)))) 1) |
(+.f64 (sqrt.f64 z) (-.f64 (fma.f64 1/8 (*.f64 t t) (fma.f64 -1/16 (pow.f64 t 3) (*.f64 t -1/2))) 1)) |
(+.f64 (sqrt.f64 z) (+.f64 (fma.f64 1/8 (*.f64 t t) (fma.f64 t -1/2 (*.f64 -1/16 (pow.f64 t 3)))) -1)) |
(+.f64 (+.f64 (sqrt.f64 z) -1) (fma.f64 t -1/2 (*.f64 (*.f64 t t) (+.f64 1/8 (*.f64 t -1/16))))) |
(+.f64 -1 (fma.f64 t (fma.f64 t 1/8 -1/2) (fma.f64 -1/16 (pow.f64 t 3) (sqrt.f64 z)))) |
(+.f64 (sqrt.f64 z) (fma.f64 t (+.f64 (*.f64 t (fma.f64 t -1/16 1/8)) -1/2) -1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.9b | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| ✓ | 2.5b | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
| ✓ | 4.3b | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| ✓ | 6.1b | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
Compiled 142 to 87 computations (38.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 2.0ms | t | @ | -inf | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
| 1.0ms | t | @ | inf | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
| 1.0ms | x | @ | inf | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 1.0ms | y | @ | inf | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 1× | batch-egg-rewrite |
| 422× | log1p-udef_binary64 |
| 264× | add-sqr-sqrt_binary64 |
| 261× | *-un-lft-identity_binary64 |
| 261× | pow1_binary64 |
| 243× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 44 |
| 1 | 504 | 44 |
| 2 | 7388 | 44 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 4 |
| 1 | 4 | 4 |
| 1× | saturated |
| Inputs |
|---|
1 |
1 |
1 |
1 |
| Outputs |
|---|
1 |
1 |
1 |
1 |
Compiled 14847 to 9400 computations (36.7% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 325 | 14 | 339 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 326 | 15 | 341 |
| Status | Error | Program |
|---|---|---|
| 6.5b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| ▶ | 39.3b | (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))) |
| 40.9b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 z) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 23.6b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z))) | |
| ▶ | 3.4b | (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| ▶ | 6.0b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 40.6b | (+.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))) | |
| 6.0b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 3)) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| ✓ | 6.0b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 5.6b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) | |
| 40.5b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (fma.f64 (pow.f64 (+.f64 z 1) 1/4) (pow.f64 (+.f64 z 1) 1/4) (neg.f64 (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| ▶ | 5.2b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 42.3b | (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| ▶ | 36.8b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
| 4.8b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
Compiled 1065 to 817 computations (23.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
| 2.5b | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) | |
| 4.3b | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) | |
| 6.1b | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
Compiled 181 to 106 computations (41.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
| 3.0ms | x | @ | -inf | (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
| 2.0ms | x | @ | 0 | (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
| 1× | batch-egg-rewrite |
| 942× | pow1_binary64 |
| 876× | add-log-exp_binary64 |
| 875× | log1p-expm1-u_binary64 |
| 875× | expm1-log1p-u_binary64 |
| 99× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 14 |
| 1 | 244 | 11 |
| 2 | 2677 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 -1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))) (exp.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 x))))))) |
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 1 |
| 1 | 4 | 1 |
| 1× | saturated |
| Inputs |
|---|
1 |
| Outputs |
|---|
1 |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) |
| ✓ | 0.0b | (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) |
| ✓ | 1.2b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
| ✓ | 5.1b | (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) |
Compiled 92 to 53 computations (42.4% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) |
| 1.0ms | y | @ | -inf | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
| 1.0ms | y | @ | inf | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
| 1.0ms | x | @ | -inf | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
| 1.0ms | t | @ | -inf | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
| 1× | batch-egg-rewrite |
| 391× | log1p-udef_binary64 |
| 390× | expm1-udef_binary64 |
| 239× | add-sqr-sqrt_binary64 |
| 236× | *-un-lft-identity_binary64 |
| 236× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 83 |
| 1 | 452 | 83 |
| 2 | 7211 | 83 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 t)) (*.f64 (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (fma.f64 (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 1 (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 2) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (fma.f64 (neg.f64 (hypot.f64 (pow.f64 t 1/4) (pow.f64 y 1/4))) (hypot.f64 (pow.f64 t 1/4) (pow.f64 y 1/4)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (sqrt.f64 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (*.f64 -1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (*.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (*.f64 (neg.f64 (pow.f64 y 1/4)) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))) 2) (cbrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))) (sqrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 t) 3/2) (pow.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 1 t) (*.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 t (pow.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) 2))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 1 y) x) (sqrt.f64 (*.f64 (+.f64 1 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 y x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 1 y) x) (sqrt.f64 (*.f64 (+.f64 1 y) x))) (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (+.f64 1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 y) x) (sqrt.f64 (*.f64 (+.f64 1 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (-.f64 y x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 (+.f64 1 y) x) (sqrt.f64 (*.f64 (+.f64 1 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (-.f64 y x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 1 y) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 y) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (sqrt.f64 (+.f64 1 y))) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 x))))))) |
| 1× | egg-herbie |
| 916× | fma-def_binary64 |
| 793× | sub-neg_binary64 |
| 510× | associate-*l*_binary64 |
| 455× | fma-neg_binary64 |
| 398× | associate--l+_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 352 |
| 1 | 192 | 346 |
| 2 | 490 | 343 |
| 3 | 1616 | 330 |
| 4 | 4254 | 328 |
| 5 | 7889 | 328 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (sqrt.f64 y)) |
(*.f64 -1 (sqrt.f64 y)) |
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 1 (sqrt.f64 (+.f64 1 y))) |
(sqrt.f64 (+.f64 1 y)) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/8 (pow.f64 y 2))))) (sqrt.f64 x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (*.f64 1/16 (pow.f64 y 3)) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/8 (pow.f64 y 2)))))) (sqrt.f64 x)) |
(-.f64 1 (sqrt.f64 x)) |
(-.f64 (+.f64 1 (*.f64 1/2 y)) (sqrt.f64 x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (*.f64 -1/8 (pow.f64 y 2)))) (sqrt.f64 x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (*.f64 1/16 (pow.f64 y 3)) (*.f64 -1/8 (pow.f64 y 2))))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 1 y)) |
| Outputs |
|---|
(-.f64 1 (sqrt.f64 y)) |
(*.f64 -1 (sqrt.f64 y)) |
(neg.f64 (sqrt.f64 y)) |
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 1 (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 1 (sqrt.f64 y)) (sqrt.f64 t)))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 1 (sqrt.f64 y)) (sqrt.f64 t)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t)))) (sqrt.f64 y)) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 t)) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 1 (sqrt.f64 x)) (sqrt.f64 t)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
(+.f64 1 (sqrt.f64 (+.f64 1 y))) |
(sqrt.f64 (+.f64 1 y)) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (fma.f64 1/2 y (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))) |
(+.f64 (fma.f64 y 1/2 (sqrt.f64 (+.f64 1 x))) (-.f64 1 (sqrt.f64 x))) |
(+.f64 1 (-.f64 (fma.f64 y 1/2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/8 (pow.f64 y 2))))) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (+.f64 (fma.f64 1/2 y (sqrt.f64 (+.f64 1 x))) (*.f64 -1/8 (*.f64 y y))) (sqrt.f64 x))) |
(+.f64 (fma.f64 y 1/2 (fma.f64 -1/8 (*.f64 y y) (sqrt.f64 (+.f64 1 x)))) (-.f64 1 (sqrt.f64 x))) |
(+.f64 1 (fma.f64 y 1/2 (-.f64 (fma.f64 -1/8 (*.f64 y y) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))) |
(+.f64 1 (fma.f64 y (fma.f64 y -1/8 1/2) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
(+.f64 (fma.f64 y (fma.f64 y -1/8 1/2) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (sqrt.f64 x))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (*.f64 1/16 (pow.f64 y 3)) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/8 (pow.f64 y 2)))))) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (fma.f64 1/2 y (fma.f64 1/16 (pow.f64 y 3) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/8 (*.f64 y y))))) (sqrt.f64 x))) |
(+.f64 (fma.f64 y 1/2 (fma.f64 1/16 (pow.f64 y 3) (fma.f64 -1/8 (*.f64 y y) (sqrt.f64 (+.f64 1 x))))) (-.f64 1 (sqrt.f64 x))) |
(+.f64 (fma.f64 1/16 (pow.f64 y 3) (fma.f64 -1/8 (*.f64 y y) (sqrt.f64 (+.f64 1 x)))) (-.f64 (fma.f64 y 1/2 1) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (fma.f64 y 1/2 (fma.f64 y (*.f64 y (fma.f64 y 1/16 -1/8)) 1)) (sqrt.f64 x))) |
(fma.f64 y (+.f64 (*.f64 y (fma.f64 y 1/16 -1/8)) 1/2) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
(-.f64 1 (sqrt.f64 x)) |
(-.f64 (+.f64 1 (*.f64 1/2 y)) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (*.f64 y 1/2) (sqrt.f64 x))) |
(-.f64 (fma.f64 y 1/2 1) (sqrt.f64 x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (*.f64 -1/8 (pow.f64 y 2)))) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (fma.f64 1/2 y (*.f64 -1/8 (*.f64 y y))) (sqrt.f64 x))) |
(+.f64 1 (-.f64 (fma.f64 y 1/2 (*.f64 y (*.f64 y -1/8))) (sqrt.f64 x))) |
(-.f64 (fma.f64 y 1/2 (fma.f64 y (*.f64 y -1/8) 1)) (sqrt.f64 x)) |
(fma.f64 y (fma.f64 y -1/8 1/2) (-.f64 1 (sqrt.f64 x))) |
(-.f64 (fma.f64 y (fma.f64 y -1/8 1/2) 1) (sqrt.f64 x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (*.f64 1/16 (pow.f64 y 3)) (*.f64 -1/8 (pow.f64 y 2))))) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (fma.f64 1/2 y (fma.f64 1/16 (pow.f64 y 3) (*.f64 -1/8 (*.f64 y y)))) (sqrt.f64 x))) |
(+.f64 (fma.f64 y 1/2 1) (-.f64 (fma.f64 -1/8 (*.f64 y y) (*.f64 1/16 (pow.f64 y 3))) (sqrt.f64 x))) |
(+.f64 1 (-.f64 (fma.f64 y 1/2 (*.f64 (*.f64 y y) (+.f64 (*.f64 y 1/16) -1/8))) (sqrt.f64 x))) |
(-.f64 (fma.f64 y 1/2 (fma.f64 y (*.f64 y (fma.f64 y 1/16 -1/8)) 1)) (sqrt.f64 x)) |
(fma.f64 y (+.f64 1/2 (*.f64 y (fma.f64 y 1/16 -1/8))) (-.f64 1 (sqrt.f64 x))) |
(sqrt.f64 (+.f64 1 y)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) |
| ✓ | 0.0b | (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
| ✓ | 0.1b | (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) |
| ✓ | 3.1b | (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) |
Compiled 127 to 63 computations (50.4% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | t | @ | -inf | (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) |
| 1.0ms | t | @ | inf | (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) |
| 1.0ms | t | @ | -inf | (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) |
| 1.0ms | x | @ | -inf | (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) |
| 1.0ms | z | @ | -inf | (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) |
| 1× | batch-egg-rewrite |
| 389× | log1p-udef_binary64 |
| 388× | expm1-udef_binary64 |
| 238× | add-sqr-sqrt_binary64 |
| 235× | *-un-lft-identity_binary64 |
| 235× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 100 |
| 1 | 451 | 100 |
| 2 | 7129 | 100 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) |
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) |
(+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (sqrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 t) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) (/.f64 (pow.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 2) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 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(sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))))) |
| 1× | egg-herbie |
| 3768× | fma-neg_binary64 |
| 874× | sub-neg_binary64 |
| 496× | fma-def_binary64 |
| 450× | associate--r+_binary64 |
| 342× | distribute-lft-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 324 |
| 1 | 117 | 324 |
| 2 | 276 | 324 |
| 3 | 706 | 324 |
| 4 | 2061 | 324 |
| 5 | 3530 | 324 |
| 6 | 5482 | 324 |
| 7 | 6346 | 324 |
| 8 | 7085 | 324 |
| 9 | 7382 | 324 |
| 10 | 7466 | 324 |
| 11 | 7517 | 324 |
| 12 | 7607 | 324 |
| 13 | 7607 | 324 |
| 14 | 7607 | 324 |
| 15 | 7607 | 324 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 t)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 t)) |
(-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(*.f64 -1 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 1 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z)) (sqrt.f64 x)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z)) (sqrt.f64 x))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 x))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (-.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (-.f64 (-.f64 1 (sqrt.f64 t)) (sqrt.f64 x))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 (-.f64 1 (sqrt.f64 t)) (sqrt.f64 z))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 z)) (sqrt.f64 t))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(+.f64 1 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 t))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 1 (sqrt.f64 t)) (sqrt.f64 x))) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 t)) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 t)) (sqrt.f64 z))) |
(-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z)) (sqrt.f64 x))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 t)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 t)) |
(-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(-.f64 (-.f64 1 (sqrt.f64 t)) (sqrt.f64 z)) |
(-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 t)) |
(*.f64 -1 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(-.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 t)) |
(-.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 z)) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z)) (sqrt.f64 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.9b | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) | |
| 2.5b | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) | |
| ✓ | 4.1b | (+.f64 z (-.f64 1 z)) |
| 4.3b | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
Compiled 175 to 108 computations (38.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (+.f64 z (-.f64 1 z)) |
| 0.0ms | z | @ | inf | (+.f64 z (-.f64 1 z)) |
| 0.0ms | z | @ | -inf | (+.f64 z (-.f64 1 z)) |
| 1× | batch-egg-rewrite |
| 677× | pow1_binary64 |
| 635× | add-log-exp_binary64 |
| 635× | log1p-expm1-u_binary64 |
| 635× | expm1-log1p-u_binary64 |
| 624× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 114 | 7 |
| 2 | 1660 | 7 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 z (-.f64 1 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 z 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 z (-.f64 1 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 z z) (+.f64 (-.f64 z 1) z)) (/.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 (-.f64 z 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 z (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 z (-.f64 1 z))) (pow.f64 (cbrt.f64 (+.f64 z (-.f64 1 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 z (-.f64 1 z))) 2) (cbrt.f64 (+.f64 z (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 z (-.f64 1 z))) (sqrt.f64 (+.f64 z (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 z 3) (pow.f64 (-.f64 1 z) 3)) (/.f64 1 (fma.f64 z z (*.f64 (-.f64 1 z) (-.f64 (-.f64 1 z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 z z) (pow.f64 (-.f64 1 z) 2)) (/.f64 1 (+.f64 (-.f64 z 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z z (*.f64 (-.f64 1 z) (-.f64 (-.f64 1 z) z))) (+.f64 (pow.f64 z 3) (pow.f64 (-.f64 1 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 z 1) z) (-.f64 (*.f64 z z) (pow.f64 (-.f64 1 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 z 3) (pow.f64 (-.f64 1 z) 3)) (fma.f64 z z (*.f64 (-.f64 1 z) (-.f64 (-.f64 1 z) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 z 3) (pow.f64 (-.f64 1 z) 3)) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 (*.f64 z z) (*.f64 z (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (-.f64 1 z) 2)) (+.f64 (-.f64 z 1) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 z 3) (pow.f64 (-.f64 1 z) 3))) (neg.f64 (fma.f64 z z (*.f64 (-.f64 1 z) (-.f64 (-.f64 1 z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (-.f64 1 z) 2))) (neg.f64 (+.f64 (-.f64 z 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 z 1) 3) (pow.f64 z 3)) (+.f64 (*.f64 (+.f64 z 1) (+.f64 z 1)) (+.f64 (*.f64 z z) (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 z 1) (+.f64 z 1)) (*.f64 z z)) (+.f64 (+.f64 z 1) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 z z)) (-.f64 (-.f64 1 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 z (-.f64 1 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 z (-.f64 1 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 z (-.f64 1 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 z (-.f64 1 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 z (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 z (-.f64 1 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 z (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 z (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 z (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 z) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 z)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) z))))) |
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 12 |
| 1 | 4 | 12 |
| 1× | saturated |
| Inputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
| Outputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 2.5b | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) | |
| ✓ | 2.7b | (log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
| ✓ | 4.3b | (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
| 6.1b | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
Compiled 165 to 104 computations (37% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
| 1.0ms | y | @ | inf | (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
| 1.0ms | y | @ | inf | (log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
| 0.0ms | y | @ | -inf | (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
| 0.0ms | y | @ | 0 | (log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
| 1× | batch-egg-rewrite |
| 870× | pow1_binary64 |
| 810× | add-log-exp_binary64 |
| 810× | log1p-expm1-u_binary64 |
| 810× | expm1-log1p-u_binary64 |
| 790× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 22 |
| 1 | 176 | 22 |
| 2 | 2291 | 22 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 (neg.f64 (sqrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 y)) 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (fma.f64 (neg.f64 (pow.f64 y 1/4)) (pow.f64 y 1/4) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2))) (neg.f64 (+.f64 (+.f64 1 y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 1 y) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 1 y) y)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 (neg.f64 (sqrt.f64 y)) 3)) (+.f64 (+.f64 1 y) (-.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 y) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (sqrt.f64 (+.f64 1 y))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 (neg.f64 (sqrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 y)) 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (fma.f64 (neg.f64 (pow.f64 y 1/4)) (pow.f64 y 1/4) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) (log.f64 (sqrt.f64 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((x *.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (/.f64 1 (+.f64 (+.f64 1 y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 1 y) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 1 y) y) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 y 1/4)) (-.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 1 y) y)))) (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (+.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 1 y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 1 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 y) y) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2))) (neg.f64 (+.f64 (+.f64 1 y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 1 y) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 1 y) y)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 (neg.f64 (sqrt.f64 y)) 3)) (+.f64 (+.f64 1 y) (-.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 y) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (sqrt.f64 (+.f64 1 y))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 y))))))) |
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 2 |
| 1 | 4 | 2 |
| 1× | saturated |
| Inputs |
|---|
1 |
1 |
| Outputs |
|---|
1 |
1 |
Compiled 31747 to 19288 computations (39.2% saved)
28 alts after pruning (26 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 794 | 22 | 816 |
| Fresh | 5 | 4 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 803 | 28 | 831 |
| Status | Error | Program |
|---|---|---|
| 31.4b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 y))) | |
| 39.3b | (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) | |
| 31.4b | (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 39.3b | (+.f64 1 (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))) | |
| 4.0b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 3.9b | (+.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 32.1b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))) 3)) | |
| 7.0b | (+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| ✓ | 3.4b | (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| ▶ | 34.2b | (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
| ▶ | 42.2b | (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t))) |
| 42.3b | (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| ▶ | 2.1b | (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 21.8b | (expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) | |
| ▶ | 39.3b | (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 2)) |
| ✓ | 6.0b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 39.3b | (+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 3)) | |
| 5.6b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) | |
| 4.6b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| ▶ | 31.5b | (-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 x)) |
| 27.4b | (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) | |
| 36.8b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (sqrt.f64 (pow.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) 2))) | |
| 23.6b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z))) | |
| 31.4b | (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) | |
| 31.9b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (*.f64 (neg.f64 (pow.f64 y 1/4)) (pow.f64 y 1/4)))) | |
| 61.1b | (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) | |
| 22.7b | (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) | |
| 4.8b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
Compiled 1624 to 1268 computations (21.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) | |
| ✓ | 0.2b | (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
| 2.5b | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) | |
| 6.1b | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
Compiled 220 to 125 computations (43.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
| 1.0ms | y | @ | inf | (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
| 1.0ms | y | @ | 0 | (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
| 1× | batch-egg-rewrite |
| 942× | pow1_binary64 |
| 876× | add-log-exp_binary64 |
| 875× | log1p-expm1-u_binary64 |
| 875× | expm1-log1p-u_binary64 |
| 99× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 14 |
| 1 | 244 | 11 |
| 2 | 2677 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 y)) (*.f64 -1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 y)) (*.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 y)) (*.f64 (neg.f64 (pow.f64 y 1/4)) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 y)) 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) (fma.f64 (neg.f64 (pow.f64 y 1/4)) (pow.f64 y 1/4) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))) 2) (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))) (sqrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 y 1/4)) (-.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2))) (-.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 y))) (exp.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 y))))))) |
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 1 |
| 1 | 4 | 1 |
| 1× | saturated |
| Inputs |
|---|
1 |
| Outputs |
|---|
1 |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (+.f64 1 t)) |
| ✓ | 0.3b | (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t))) |
| ✓ | 2.9b | (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t)) |
Compiled 57 to 35 computations (38.6% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | t | @ | inf | (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t)) |
| 3.0ms | x | @ | inf | (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t)) |
| 1.0ms | t | @ | -inf | (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t)) |
| 1.0ms | x | @ | -inf | (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t))) |
| 1.0ms | t | @ | -inf | (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t))) |
| 1× | batch-egg-rewrite |
| 666× | log-prod_binary64 |
| 597× | fma-neg_binary64 |
| 260× | expm1-udef_binary64 |
| 260× | log1p-udef_binary64 |
| 221× | log-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 46 |
| 1 | 302 | 46 |
| 2 | 4571 | 46 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t)) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t))) |
(sqrt.f64 (+.f64 1 t)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 t)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 t)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 t))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 t))) (cbrt.f64 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 t)) (cbrt.f64 (sqrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 t) 1/4) (pow.f64 (+.f64 1 t) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 t)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 t)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 t)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 t t))) (sqrt.f64 (-.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 1 (pow.f64 t 3/2)) (sqrt.f64 (+.f64 1 (fma.f64 t t (neg.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 t) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 t) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 t) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 t) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 t) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 t)) 1)))))) |
| 1× | egg-herbie |
| 826× | fma-neg_binary64 |
| 536× | unswap-sqr_binary64 |
| 493× | associate-*l*_binary64 |
| 486× | fma-def_binary64 |
| 332× | associate-*r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 115 |
| 1 | 76 | 111 |
| 2 | 150 | 109 |
| 3 | 387 | 103 |
| 4 | 905 | 100 |
| 5 | 2659 | 100 |
| 6 | 4345 | 100 |
| 7 | 5740 | 100 |
| 8 | 7123 | 100 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (sqrt.f64 x)) |
(*.f64 -1 (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
1 |
(+.f64 1 (*.f64 1/2 t)) |
(+.f64 (*.f64 -1/8 (pow.f64 t 2)) (+.f64 1 (*.f64 1/2 t))) |
(+.f64 (*.f64 -1/8 (pow.f64 t 2)) (+.f64 1 (+.f64 (*.f64 1/2 t) (*.f64 1/16 (pow.f64 t 3))))) |
| Outputs |
|---|
(-.f64 1 (sqrt.f64 x)) |
(*.f64 -1 (sqrt.f64 x)) |
(neg.f64 (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x))) |
(+.f64 (-.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x))) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
1 |
(+.f64 1 (*.f64 1/2 t)) |
(+.f64 1 (*.f64 t 1/2)) |
(fma.f64 t 1/2 1) |
(+.f64 (*.f64 -1/8 (pow.f64 t 2)) (+.f64 1 (*.f64 1/2 t))) |
(fma.f64 -1/8 (*.f64 t t) (+.f64 1 (*.f64 t 1/2))) |
(fma.f64 -1/8 (*.f64 t t) (fma.f64 t 1/2 1)) |
(fma.f64 t 1/2 (fma.f64 -1/8 (*.f64 t t) 1)) |
(fma.f64 t (fma.f64 t -1/8 1/2) 1) |
(+.f64 (*.f64 -1/8 (pow.f64 t 2)) (+.f64 1 (+.f64 (*.f64 1/2 t) (*.f64 1/16 (pow.f64 t 3))))) |
(fma.f64 -1/8 (*.f64 t t) (+.f64 1 (fma.f64 1/2 t (*.f64 1/16 (pow.f64 t 3))))) |
(+.f64 (fma.f64 -1/8 (*.f64 t t) (fma.f64 t 1/2 1)) (*.f64 1/16 (pow.f64 t 3))) |
(fma.f64 t (*.f64 t -1/8) (fma.f64 1/16 (pow.f64 t 3) (fma.f64 t 1/2 1))) |
(fma.f64 t (fma.f64 t -1/8 1/2) (fma.f64 1/16 (pow.f64 t 3) 1)) |
(fma.f64 t (fma.f64 t (fma.f64 t 1/16 -1/8) 1/2) 1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (+.f64 1 y)) |
| ✓ | 0.1b | (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
| ✓ | 0.9b | (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
| ✓ | 4.8b | (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
Compiled 74 to 46 computations (37.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
| 2.0ms | y | @ | 0 | (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
| 1.0ms | y | @ | -inf | (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
| 1.0ms | x | @ | -inf | (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
| 1.0ms | x | @ | -inf | (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
| 1× | batch-egg-rewrite |
| 671× | fma-neg_binary64 |
| 290× | expm1-udef_binary64 |
| 290× | log1p-udef_binary64 |
| 242× | log-pow_binary64 |
| 222× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 68 |
| 1 | 333 | 68 |
| 2 | 5246 | 68 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(sqrt.f64 (+.f64 1 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 y)) (neg.f64 (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 (neg.f64 (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (fma.f64 (neg.f64 (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x))))) 1 (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x)))))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x))))) 2) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 2) (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 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1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 y (*.f64 (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x)))))))) (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x)))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x))))) (+.f64 1 (-.f64 y (pow.f64 (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x)))) 3)) (+.f64 1 (+.f64 y (*.f64 (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x)))))))))))) (#(struct:change #<rule 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1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (sqrt.f64 (+.f64 1 y))) (neg.f64 (-.f64 (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 2) (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (-.f64 (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (sqrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (neg.f64 (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1 y) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 y) 1/4)) (neg.f64 (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 y))) (neg.f64 (-.f64 (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 y)) (neg.f64 (-.f64 (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 y)) 1/2) (neg.f64 (-.f64 (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x)))) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 y))) (cbrt.f64 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 y y))) (sqrt.f64 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 1 (pow.f64 y 3/2)) (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 y y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1 y) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 y) 1/4)) -1))))) |
| 1× | egg-herbie |
| 992× | fma-neg_binary64 |
| 536× | unswap-sqr_binary64 |
| 521× | associate-*l*_binary64 |
| 508× | fma-def_binary64 |
| 328× | distribute-rgt-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 150 |
| 1 | 83 | 148 |
| 2 | 174 | 145 |
| 3 | 428 | 138 |
| 4 | 1036 | 135 |
| 5 | 2906 | 135 |
| 6 | 4726 | 135 |
| 7 | 6235 | 135 |
| 8 | 7645 | 135 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
1 |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
1 |
(+.f64 1 (*.f64 1/2 y)) |
(+.f64 1 (+.f64 (*.f64 1/2 y) (*.f64 -1/8 (pow.f64 y 2)))) |
(+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (*.f64 1/16 (pow.f64 y 3)) (*.f64 -1/8 (pow.f64 y 2))))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) -1)) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
1 |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 2 (sqrt.f64 x))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) -2)) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) -1)) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) 2) (sqrt.f64 y)) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 2 (sqrt.f64 y))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
1 |
(+.f64 1 (*.f64 1/2 y)) |
(+.f64 1 (*.f64 y 1/2)) |
(fma.f64 y 1/2 1) |
(+.f64 1 (+.f64 (*.f64 1/2 y) (*.f64 -1/8 (pow.f64 y 2)))) |
(+.f64 1 (fma.f64 1/2 y (*.f64 -1/8 (*.f64 y y)))) |
(+.f64 1 (fma.f64 y 1/2 (*.f64 y (*.f64 y -1/8)))) |
(fma.f64 y 1/2 (fma.f64 y (*.f64 y -1/8) 1)) |
(fma.f64 y (fma.f64 y -1/8 1/2) 1) |
(+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (*.f64 1/16 (pow.f64 y 3)) (*.f64 -1/8 (pow.f64 y 2))))) |
(+.f64 1 (fma.f64 1/2 y (fma.f64 1/16 (pow.f64 y 3) (*.f64 -1/8 (*.f64 y y))))) |
(+.f64 1 (fma.f64 y 1/2 (fma.f64 -1/8 (*.f64 y y) (*.f64 1/16 (pow.f64 y 3))))) |
(+.f64 1 (fma.f64 1/16 (pow.f64 y 3) (*.f64 y (+.f64 1/2 (*.f64 y -1/8))))) |
(fma.f64 y 1/2 (fma.f64 (*.f64 y y) (fma.f64 y 1/16 -1/8) 1)) |
(fma.f64 y (fma.f64 y (fma.f64 y 1/16 -1/8) 1/2) 1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y))) |
| ✓ | 2.5b | (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) |
| ✓ | 2.5b | (-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 x)) |
| ✓ | 6.9b | (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) |
Compiled 101 to 60 computations (40.6% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 47.0ms | t | @ | inf | (-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 x)) |
| 4.0ms | x | @ | -inf | (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) |
| 3.0ms | x | @ | -inf | (-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 x)) |
| 2.0ms | x | @ | inf | (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) |
| 2.0ms | x | @ | inf | (-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 x)) |
| 1× | batch-egg-rewrite |
| 374× | expm1-udef_binary64 |
| 374× | log1p-udef_binary64 |
| 226× | add-sqr-sqrt_binary64 |
| 223× | pow1_binary64 |
| 222× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 94 |
| 1 | 426 | 94 |
| 2 | 6778 | 94 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) |
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 2) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y)))))) (/.f64 (pow.f64 (+.f64 (sqrt.f64 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| 1× | egg-herbie |
| 887× | fma-neg_binary64 |
| 836× | sub-neg_binary64 |
| 602× | unswap-sqr_binary64 |
| 503× | associate-*l*_binary64 |
| 446× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 321 |
| 1 | 154 | 317 |
| 2 | 395 | 317 |
| 3 | 1262 | 311 |
| 4 | 3228 | 311 |
| 5 | 6147 | 311 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 y)) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 y)) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (sqrt.f64 t)) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 t)) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
1 |
(+.f64 1 (sqrt.f64 (+.f64 1 y))) |
(+.f64 1 (sqrt.f64 (+.f64 1 x))) |
(+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x)))) |
(+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/8 (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (*.f64 1/16 (pow.f64 y 3)) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/8 (pow.f64 y 2)))))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 y)) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 y)) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y)))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 y)) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 x)))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (sqrt.f64 t)) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t)))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 t)) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t)) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t))))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t)) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) |
(+.f64 1 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y))))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 1 (sqrt.f64 x)) (sqrt.f64 y)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y)))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) -1)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 x))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t))))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t)) (sqrt.f64 y))) |
1 |
(+.f64 1 (sqrt.f64 (+.f64 1 y))) |
(+.f64 1 (sqrt.f64 (+.f64 1 x))) |
(+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x)))) |
(+.f64 1 (fma.f64 1/2 y (sqrt.f64 (+.f64 1 x)))) |
(+.f64 1 (fma.f64 y 1/2 (sqrt.f64 (+.f64 1 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 y 1/2 1)) |
(+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/8 (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (fma.f64 1/2 y (sqrt.f64 (+.f64 1 x))) (*.f64 -1/8 (*.f64 y y)))) |
(+.f64 1 (fma.f64 y 1/2 (fma.f64 -1/8 (*.f64 y y) (sqrt.f64 (+.f64 1 x))))) |
(+.f64 1 (fma.f64 y (*.f64 y -1/8) (fma.f64 y 1/2 (sqrt.f64 (+.f64 1 x))))) |
(fma.f64 y (fma.f64 y -1/8 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(+.f64 1 (fma.f64 y (fma.f64 y -1/8 1/2) (sqrt.f64 (+.f64 1 x)))) |
(+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (*.f64 1/16 (pow.f64 y 3)) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/8 (pow.f64 y 2)))))) |
(+.f64 1 (fma.f64 1/2 y (fma.f64 1/16 (pow.f64 y 3) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/8 (*.f64 y y)))))) |
(+.f64 1 (fma.f64 y 1/2 (fma.f64 1/16 (pow.f64 y 3) (fma.f64 -1/8 (*.f64 y y) (sqrt.f64 (+.f64 1 x)))))) |
(+.f64 1 (fma.f64 y 1/2 (fma.f64 1/16 (pow.f64 y 3) (fma.f64 y (*.f64 y -1/8) (sqrt.f64 (+.f64 1 x)))))) |
(+.f64 1 (fma.f64 y (fma.f64 y -1/8 1/2) (fma.f64 1/16 (pow.f64 y 3) (sqrt.f64 (+.f64 1 x))))) |
(+.f64 1 (fma.f64 y 1/2 (fma.f64 y (*.f64 y (fma.f64 y 1/16 -1/8)) (sqrt.f64 (+.f64 1 x))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) | |
| ✓ | 0.0b | (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 2) |
| ✓ | 0.0b | (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) |
| ✓ | 3.1b | (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) |
Compiled 177 to 98 computations (44.6% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 2) |
| 4.0ms | z | @ | -inf | (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 2) |
| 3.0ms | z | @ | 0 | (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 2) |
| 2.0ms | t | @ | 0 | (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 2) |
| 2.0ms | t | @ | -inf | (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 2) |
| 1× | batch-egg-rewrite |
| 415× | log1p-udef_binary64 |
| 255× | add-sqr-sqrt_binary64 |
| 251× | pow1_binary64 |
| 250× | *-un-lft-identity_binary64 |
| 237× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 103 |
| 1 | 514 | 103 |
| 2 | 7654 | 103 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (sqrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z))) (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 t) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) (/.f64 (pow.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) 2) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z)))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 2) (cbrt.f64 (+.f64 (sqrt.f64 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(sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (sqrt.f64 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 2) (cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) (sqrt.f64 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 t)) (cbrt.f64 (sqrt.f64 (+.f64 1 t))) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) (sqrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) (sqrt.f64 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 t) 1/4) (pow.f64 (+.f64 1 t) 1/4) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))) |
| 1× | egg-herbie |
| 3767× | fma-neg_binary64 |
| 1008× | sub-neg_binary64 |
| 483× | fma-def_binary64 |
| 434× | associate--r+_binary64 |
| 299× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 400 |
| 1 | 101 | 400 |
| 2 | 247 | 400 |
| 3 | 673 | 400 |
| 4 | 2105 | 400 |
| 5 | 3598 | 400 |
| 6 | 5537 | 400 |
| 7 | 6456 | 400 |
| 8 | 7011 | 400 |
| 9 | 7346 | 400 |
| 10 | 7443 | 400 |
| 11 | 7472 | 400 |
| 12 | 7580 | 400 |
| 13 | 7580 | 400 |
| 14 | 7580 | 400 |
| 15 | 7581 | 400 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z)) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z)) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) (sqrt.f64 (+.f64 1 x))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) (sqrt.f64 (+.f64 1 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z))) (sqrt.f64 t))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 z))) (-.f64 1 (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 t)) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) |
(+.f64 1 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 t)) (sqrt.f64 x))) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 t)) (sqrt.f64 x)) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z))) (sqrt.f64 t)) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 t))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
(-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z)) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z)) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z)) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) (sqrt.f64 (+.f64 1 x))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) (sqrt.f64 (+.f64 1 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z))) (sqrt.f64 t))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 z))) (-.f64 1 (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
Compiled 31191 to 19376 computations (37.9% saved)
34 alts after pruning (32 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 927 | 20 | 947 |
| Fresh | 9 | 12 | 21 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 2 | 6 |
| Total | 941 | 34 | 975 |
| Status | Error | Program |
|---|---|---|
| 27.5b | (+.f64 1 (pow.f64 (sqrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2)) | |
| 39.3b | (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) | |
| 36.0b | (-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 x)) | |
| 21.7b | (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) | |
| 4.0b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 3.9b | (+.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 35.1b | (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) | |
| ▶ | 7.0b | (+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 31.6b | (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 y)) (sqrt.f64 x)) | |
| ✓ | 3.4b | (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 42.7b | (+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 3)) | |
| 42.3b | (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| ▶ | 41.6b | (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
| 6.2b | (+.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 31.9b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (*.f64 (neg.f64 (pow.f64 y 1/4)) (pow.f64 y 1/4)))) | |
| 57.1b | (-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (-.f64 x y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))))) (sqrt.f64 x)) | |
| 31.4b | (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y)))) | |
| ▶ | 2.7b | (+.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 39.1b | (+.f64 1 (pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 2)) | |
| 5.6b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) | |
| 31.7b | (-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (+.f64 1 y) 3/2)) (-.f64 (+.f64 (+.f64 1 x) (+.f64 1 y)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 y)))))) (sqrt.f64 x)) | |
| 44.4b | (+.f64 1 (-.f64 (+.f64 1 (*.f64 1/2 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) | |
| 57.1b | (-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))) (-.f64 x y)))) (sqrt.f64 x)) | |
| 37.3b | (pow.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (sqrt.f64 x)))) 3) | |
| 42.5b | (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2) | |
| 4.6b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 31.8b | (-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (+.f64 1 y) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) (+.f64 1 y)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 y))))))) (sqrt.f64 x)) | |
| ▶ | 27.4b | (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
| 37.0b | (-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/8 (pow.f64 y 2)))))) (sqrt.f64 x)) | |
| 4.8b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 23.6b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z))) | |
| ▶ | 32.6b | (-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y)))) 3)) (sqrt.f64 x)) |
| ✓ | 2.1b | (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 22.7b | (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) |
Compiled 2000 to 1570 computations (21.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) | |
| ✓ | 0.7b | (sqrt.f64 (*.f64 (+.f64 1 x) x)) |
| 2.5b | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) | |
| 6.1b | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
Compiled 300 to 199 computations (33.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (sqrt.f64 (*.f64 (+.f64 1 x) x)) |
| 1.0ms | x | @ | 0 | (sqrt.f64 (*.f64 (+.f64 1 x) x)) |
| 0.0ms | x | @ | inf | (sqrt.f64 (*.f64 (+.f64 1 x) x)) |
| 1× | batch-egg-rewrite |
| 589× | pow1_binary64 |
| 549× | add-log-exp_binary64 |
| 549× | log1p-expm1-u_binary64 |
| 549× | expm1-log1p-u_binary64 |
| 537× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 123 | 9 |
| 2 | 1532 | 9 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (+.f64 1 x) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (*.f64 x x)))) (cbrt.f64 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) (cbrt.f64 (sqrt.f64 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (*.f64 x x)) 1/4) (pow.f64 (+.f64 x (*.f64 x x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 x x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) 1/2)))))) |
| 1× | egg-herbie |
| 671× | fma-neg_binary64 |
| 654× | times-frac_binary64 |
| 654× | fma-def_binary64 |
| 438× | cancel-sign-sub-inv_binary64 |
| 252× | associate-*l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 68 |
| 1 | 96 | 68 |
| 2 | 284 | 68 |
| 3 | 656 | 68 |
| 4 | 2287 | 68 |
| 5 | 7979 | 68 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 1/2 x) |
(-.f64 (+.f64 1/2 x) (*.f64 1/8 (/.f64 1 x))) |
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 2))) x)) (*.f64 1/8 (/.f64 1 x))) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) |
(+.f64 1/2 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(+.f64 1/2 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))) |
(+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))) |
| Outputs |
|---|
x |
(+.f64 1/2 x) |
(+.f64 x 1/2) |
(-.f64 (+.f64 1/2 x) (*.f64 1/8 (/.f64 1 x))) |
(-.f64 (+.f64 x 1/2) (/.f64 1/8 x)) |
(+.f64 (+.f64 x 1/2) (/.f64 -1/8 x)) |
(+.f64 1/2 (+.f64 x (/.f64 -1/8 x))) |
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 2))) x)) (*.f64 1/8 (/.f64 1 x))) |
(+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/16 (*.f64 x x))) (/.f64 1/8 x))) |
(+.f64 1/2 (+.f64 (+.f64 x (/.f64 1/16 (*.f64 x x))) (/.f64 -1/8 x))) |
(+.f64 x (+.f64 1/2 (+.f64 (/.f64 -1/8 x) (/.f64 1/16 (*.f64 x x))))) |
(+.f64 x (+.f64 (/.f64 1/16 (*.f64 x x)) (+.f64 1/2 (/.f64 -1/8 x)))) |
(+.f64 (+.f64 x 1/2) (-.f64 (/.f64 -1/8 x) (/.f64 -1/16 (*.f64 x x)))) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) |
x |
(+.f64 1/2 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(+.f64 x 1/2) |
(+.f64 1/2 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))) |
(-.f64 (+.f64 x 1/2) (/.f64 1/8 x)) |
(+.f64 (+.f64 x 1/2) (/.f64 -1/8 x)) |
(+.f64 1/2 (+.f64 x (/.f64 -1/8 x))) |
(+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))) |
(+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/16 (*.f64 x x))) (/.f64 1/8 x))) |
(+.f64 1/2 (+.f64 (+.f64 x (/.f64 1/16 (*.f64 x x))) (/.f64 -1/8 x))) |
(+.f64 x (+.f64 1/2 (+.f64 (/.f64 -1/8 x) (/.f64 1/16 (*.f64 x x))))) |
(+.f64 x (+.f64 (/.f64 1/16 (*.f64 x x)) (+.f64 1/2 (/.f64 -1/8 x)))) |
(+.f64 (+.f64 x 1/2) (-.f64 (/.f64 -1/8 x) (/.f64 -1/16 (*.f64 x x)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.9b | (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
Compiled 22 to 15 computations (31.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (sqrt.f64 z) (sqrt.f64 x)) |
| ✓ | 0.0b | (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) |
| ✓ | 0.0b | (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
| ✓ | 10.2b | (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
Compiled 71 to 43 computations (39.4% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
| 1.0ms | x | @ | -inf | (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
| 1.0ms | z | @ | -inf | (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
| 1.0ms | x | @ | -inf | (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
| 1.0ms | z | @ | -inf | (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
| 1× | batch-egg-rewrite |
| 735× | fma-neg_binary64 |
| 284× | expm1-udef_binary64 |
| 284× | log1p-udef_binary64 |
| 240× | log-pow_binary64 |
| 174× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 73 |
| 1 | 331 | 73 |
| 2 | 5321 | 73 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) |
(+.f64 (sqrt.f64 z) (sqrt.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 z)) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 z)) (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (*.f64 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) (fma.f64 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 2) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 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| 1× | egg-herbie |
| 716× | fma-neg_binary64 |
| 621× | fma-def_binary64 |
| 486× | unswap-sqr_binary64 |
| 466× | cancel-sign-sub-inv_binary64 |
| 369× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 258 |
| 1 | 122 | 250 |
| 2 | 311 | 250 |
| 3 | 937 | 238 |
| 4 | 2402 | 238 |
| 5 | 3306 | 238 |
| 6 | 4741 | 238 |
| 7 | 6101 | 238 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) |
(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) |
(+.f64 1 (sqrt.f64 (+.f64 1 x))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) |
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 z 2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z)))) |
(+.f64 (*.f64 1/16 (pow.f64 z 3)) (+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 z 2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))))) |
(+.f64 1 (sqrt.f64 (+.f64 1 z))) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1 z)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1 z))))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (*.f64 1/16 (pow.f64 x 3)))))) |
(sqrt.f64 x) |
(sqrt.f64 z) |
| Outputs |
|---|
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z))) |
(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 2 (sqrt.f64 x))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) 2) (sqrt.f64 z)) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (sqrt.f64 z))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z))) |
(+.f64 1 (sqrt.f64 (+.f64 1 x))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 z 1/2))) |
(+.f64 1 (fma.f64 z 1/2 (sqrt.f64 (+.f64 1 x)))) |
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 z 2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z)))) |
(+.f64 1 (fma.f64 -1/8 (*.f64 z z) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 z 1/2)))) |
(+.f64 1 (fma.f64 -1/8 (*.f64 z z) (fma.f64 z 1/2 (sqrt.f64 (+.f64 1 x))))) |
(+.f64 1 (fma.f64 z 1/2 (fma.f64 z (*.f64 z -1/8) (sqrt.f64 (+.f64 1 x))))) |
(+.f64 1 (fma.f64 z (fma.f64 z -1/8 1/2) (sqrt.f64 (+.f64 1 x)))) |
(+.f64 (*.f64 1/16 (pow.f64 z 3)) (+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 z 2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))))) |
(fma.f64 1/16 (pow.f64 z 3) (+.f64 1 (fma.f64 -1/8 (*.f64 z z) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 z 1/2))))) |
(+.f64 (fma.f64 -1/8 (*.f64 z z) (fma.f64 z 1/2 (sqrt.f64 (+.f64 1 x)))) (fma.f64 1/16 (pow.f64 z 3) 1)) |
(+.f64 1 (fma.f64 1/16 (pow.f64 z 3) (fma.f64 z 1/2 (fma.f64 z (*.f64 z -1/8) (sqrt.f64 (+.f64 1 x)))))) |
(+.f64 (fma.f64 z (fma.f64 z -1/8 1/2) 1) (fma.f64 1/16 (pow.f64 z 3) (sqrt.f64 (+.f64 1 x)))) |
(+.f64 1 (fma.f64 z (fma.f64 z -1/8 1/2) (fma.f64 1/16 (pow.f64 z 3) (sqrt.f64 (+.f64 1 x))))) |
(+.f64 1 (sqrt.f64 (+.f64 1 z))) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1 z)))) |
(fma.f64 1/2 x (+.f64 1 (sqrt.f64 (+.f64 1 z)))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (fma.f64 x 1/2 1)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1 z))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (+.f64 1 (sqrt.f64 (+.f64 1 z))))) |
(fma.f64 -1/8 (*.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 z)) (fma.f64 x 1/2 1))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (fma.f64 x (*.f64 x -1/8) (fma.f64 x 1/2 1))) |
(+.f64 1 (fma.f64 x (fma.f64 x -1/8 1/2) (sqrt.f64 (+.f64 1 z)))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (fma.f64 x (fma.f64 x -1/8 1/2) 1)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (*.f64 1/16 (pow.f64 x 3)))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (*.f64 1/16 (pow.f64 x 3)))))) |
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/16 (pow.f64 x 3) (sqrt.f64 (+.f64 1 z))) (fma.f64 x 1/2 1))) |
(+.f64 (fma.f64 1/16 (pow.f64 x 3) (sqrt.f64 (+.f64 1 z))) (fma.f64 x (*.f64 x -1/8) (fma.f64 x 1/2 1))) |
(+.f64 1 (fma.f64 x (fma.f64 x -1/8 1/2) (fma.f64 1/16 (pow.f64 x 3) (sqrt.f64 (+.f64 1 z))))) |
(sqrt.f64 x) |
(sqrt.f64 z) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 2.5b | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) | |
| 4.3b | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) | |
| 6.1b | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
Compiled 107 to 68 computations (36.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 1.0ms | y | @ | inf | (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 0.0ms | y | @ | 0 | (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 1× | batch-egg-rewrite |
| 572× | fma-def_binary64 |
| 402× | prod-exp_binary64 |
| 382× | log-prod_binary64 |
| 283× | exp-prod_binary64 |
| 281× | pow-prod-down_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 183 | 14 |
| 2 | 2658 | 14 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))) (/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2) (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 2) (cbrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 3)) (/.f64 1 (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2)) (/.f64 1 (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1) 1) (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) (-.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 3)) (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 3)) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2) (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2)) (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 3))) (neg.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2))) (neg.f64 (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 3) (pow.f64 y 3/2)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2) (+.f64 y (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2) y) (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2) 1) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1) 1) (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) (-.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 2)) (cbrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) (sqrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (+.f64 1 (expm1.f64 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 y)) (fma.f64 -1 (sqrt.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 y)) (neg.f64 (-.f64 (sqrt.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 y)) 1 (fma.f64 -1 (sqrt.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 y)) 1 (neg.f64 (-.f64 (sqrt.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 y) 1/6) (cbrt.f64 (+.f64 1 y)) (fma.f64 -1 (sqrt.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 y) 1/6) (cbrt.f64 (+.f64 1 y)) (neg.f64 (-.f64 (sqrt.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 y)) (pow.f64 (+.f64 1 y) 1/6) (fma.f64 -1 (sqrt.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 y)) (pow.f64 (+.f64 1 y) 1/6) (neg.f64 (-.f64 (sqrt.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (fma.f64 -1 (sqrt.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (-.f64 (sqrt.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (/.f64 1 (+.f64 1 (+.f64 y (fma.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (-.f64 y y)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1 y) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 y) 1/4)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 y 1/4)) (-.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 y 1/4)) 1))))) |
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2 | 2 |
| 1 | 5 | 2 |
| 1× | saturated |
| Inputs |
|---|
2 |
1 |
| Outputs |
|---|
2 |
1 |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.8b | (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y)))) |
| 2.5b | (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) | |
| ✓ | 2.5b | (-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y)))) 3)) (sqrt.f64 x)) |
| ✓ | 11.2b | (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y)))) 3)) |
Compiled 133 to 91 computations (31.6% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 45.0ms | x | @ | inf | (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y)))) 3)) |
| 39.0ms | y | @ | 0 | (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y)))) 3)) |
| 14.0ms | y | @ | inf | (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y)))) 3)) |
| 4.0ms | x | @ | 0 | (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y)))) 3)) |
| 3.0ms | y | @ | -inf | (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y)))) 3)) |
| 1× | batch-egg-rewrite |
| 421× | log1p-udef_binary64 |
| 258× | add-sqr-sqrt_binary64 |
| 252× | pow1_binary64 |
| 251× | *-un-lft-identity_binary64 |
| 240× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 85 |
| 1 | 519 | 85 |
| 2 | 7709 | 85 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y)))) 3)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y)))) 3)) (sqrt.f64 x)) |
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y)))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 947× | fma-def_binary64 |
| 649× | associate-+l+_binary64 |
| 472× | associate-+r+_binary64 |
| 467× | *-commutative_binary64 |
| 456× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 2234 |
| 1 | 574 | 2180 |
| 2 | 2064 | 2083 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (pow.f64 1 1/3))) (sqrt.f64 y)) |
(-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (pow.f64 1 1/3)) (sqrt.f64 y)) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 t)) |
(-.f64 (+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) |
(-.f64 (+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/9)) (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/9))) x) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(-.f64 (+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/9)) (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/9))) x) (+.f64 (sqrt.f64 (+.f64 1 t)) (*.f64 (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9)) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))) (pow.f64 1 1/3))) (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/3) (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/9)))))) (pow.f64 x 2))))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/16 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/9) (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/3)))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/9) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/3) (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/9))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/3) (-.f64 1/16 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/9) (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/3)))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 8)) 1/9) (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))))))) (*.f64 -1/9 (*.f64 (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/9)))))) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/9)) (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/9))) x) (+.f64 (sqrt.f64 (+.f64 1 t)) (*.f64 (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9)) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))) (pow.f64 1 1/3))) (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/3) (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/9)))))) (pow.f64 x 2)))))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (pow.f64 1 1/3))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (pow.f64 1 1/3)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 1/3) |
(+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 1/3) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/9) x))) |
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/3))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 1/3) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/9) x)))) |
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/3))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 1/3) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/9) x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/3) (*.f64 (-.f64 1/16 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/9) (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/3)))) (pow.f64 x 3))))))) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/3) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/9) y)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/3)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/9) y)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/3) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/9)) 1/8)))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/3))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/9) y)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/3) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/9)) 1/8)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/3) (*.f64 (pow.f64 y 3) (-.f64 1/16 (+.f64 (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/3)) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 5)) 1/9) (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/9)))))))))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/3)))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (pow.f64 1 1/3))) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 y))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
(-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (pow.f64 1 1/3)) (sqrt.f64 y)) |
(-.f64 (*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 y)) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 y)) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 t)) |
(-.f64 (fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t)) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 t)))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 t)))) |
(-.f64 (+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t))))) |
(-.f64 (+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/9)) (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/9))) x) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4) 1/18)) 1/2) x (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (fma.f64 x (*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4) 1/18) (*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4) 1/18) 1/2)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) (fma.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4) 1/18)) (*.f64 x 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 y))))) |
(-.f64 (+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/9)) (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/9))) x) (+.f64 (sqrt.f64 (+.f64 1 t)) (*.f64 (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9)) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))) (pow.f64 1 1/3))) (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/3) (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/9)))))) (pow.f64 x 2))))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4) 1/18)) 1/2) x (sqrt.f64 (+.f64 1 t))) (*.f64 (fma.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) (fma.f64 -1/3 (*.f64 1 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12))) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (fma.f64 -2/3 (*.f64 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12)) (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))))) (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/18))))))) (*.f64 x x))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))) |
(+.f64 (fma.f64 x (*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4) 1/18) (*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4) 1/18) 1/2)) (fma.f64 (fma.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) (fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (fma.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/18)) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12 1/8) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))))))) (*.f64 -1/3 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12 1/8)))) (*.f64 x x) (sqrt.f64 (+.f64 1 t)))) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))) |
(+.f64 (fma.f64 (fma.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) (+.f64 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/18) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/18)))) (*.f64 (fma.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/8) (+.f64 -1/3 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y))))))))))) (*.f64 x x) (fma.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4) 1/18)) (*.f64 x 1/2) (sqrt.f64 (+.f64 1 t)))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) (sqrt.f64 t))))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/16 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/9) (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/3)))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/9) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/3) (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/9))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/3) (-.f64 1/16 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/9) (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/3)))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 8)) 1/9) (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))))))) (*.f64 -1/9 (*.f64 (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/9)))))) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/9)) (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/9))) x) (+.f64 (sqrt.f64 (+.f64 1 t)) (*.f64 (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9)) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))) (pow.f64 1 1/3))) (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/3) (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/9)))))) (pow.f64 x 2)))))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(-.f64 (fma.f64 (+.f64 (*.f64 1/3 (-.f64 1/16 (fma.f64 -1/3 (*.f64 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18))) (*.f64 1/216 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2))))))) (fma.f64 1/6 (*.f64 (fma.f64 -2/3 (*.f64 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12)) (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))))) (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18))) (fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y))))) (-.f64 1/16 (fma.f64 -1/3 (*.f64 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18))) (*.f64 1/216 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2))))))) (*.f64 -1/9 (*.f64 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 8)) 1/18))))) (*.f64 (*.f64 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18))) -1/9)))) (pow.f64 x 3) (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4) 1/18)) 1/2) x (sqrt.f64 (+.f64 1 t))) (*.f64 (fma.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) (fma.f64 -1/3 (*.f64 1 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12))) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (fma.f64 -2/3 (*.f64 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12)) (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))))) (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/18))))))) (*.f64 x x))))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(fma.f64 (fma.f64 1/3 (-.f64 1/16 (fma.f64 (*.f64 (*.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18)) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12 1/8) (*.f64 1/216 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)))))) (fma.f64 1/6 (*.f64 (fma.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/18)) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12 1/8) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18))) (fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (fma.f64 -1/9 (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12 1/8) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 8)) 1/18))) (*.f64 (-.f64 1/16 (fma.f64 (*.f64 (*.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18)) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12 1/8) (*.f64 1/216 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)))))) (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y))))) 2/3))) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12 1/8) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18)) -1/9))))) (pow.f64 x 3) (+.f64 (fma.f64 x (*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4) 1/18) (*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4) 1/18) 1/2)) (fma.f64 (fma.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) (fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (fma.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/18)) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12 1/8) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))))))) (*.f64 -1/3 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12 1/8)))) (*.f64 x x) (sqrt.f64 (+.f64 1 t)))) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))))) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (fma.f64 (fma.f64 1/6 (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/8) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/18) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18))) (fma.f64 1/3 (-.f64 1/16 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18) (*.f64 (fma.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/8) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18))) (*.f64 1/216 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)))))) (fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (*.f64 (-.f64 1/16 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18) (*.f64 (fma.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/8) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18))) (*.f64 1/216 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)))))) (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y))))) 2/3)) (*.f64 (fma.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/8) (+.f64 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 8)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18)) -1/9)))))) (pow.f64 x 3) (fma.f64 (fma.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) (+.f64 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/18) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4)) 1/18)))) (*.f64 (fma.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/8) (+.f64 -1/3 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y))))))))))) (*.f64 x x) (fma.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 4) 1/18)) (*.f64 x 1/2) (sqrt.f64 (+.f64 1 t))))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (pow.f64 1 1/3))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 1 (fma.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) 1 (neg.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 1 (sqrt.f64 x))) |
(-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (pow.f64 1 1/3)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) 1 (neg.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(-.f64 (+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 t))) (sqrt.f64 x))) |
(-.f64 (+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t))))) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 1/3) |
(cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) |
(+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 1/3) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/9) x))) |
(+.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (*.f64 1/6 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18))))) |
(fma.f64 1/6 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))))) |
(fma.f64 x (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))))) |
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/3))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 1/3) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/9) x)))) |
(fma.f64 -1/3 (*.f64 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12)) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2))))) (+.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (*.f64 1/6 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18)))))) |
(fma.f64 -1/3 (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12 1/8) (*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)))))) (fma.f64 1/6 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))))) |
(fma.f64 x (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18))) (fma.f64 -1/3 (*.f64 (fma.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/8) (*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))))) |
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/3))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 1/3) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/9) x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/3) (*.f64 (-.f64 1/16 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/9) (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/3)))) (pow.f64 x 3))))))) |
(fma.f64 -1/3 (*.f64 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12)) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2))))) (+.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (fma.f64 1/6 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18))) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2))) (*.f64 (-.f64 1/16 (fma.f64 -1/3 (*.f64 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18))) (*.f64 1/216 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)))))) (pow.f64 x 3))))))) |
(+.f64 (fma.f64 1/3 (*.f64 (-.f64 1/16 (fma.f64 (*.f64 (*.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18)) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12 1/8) (*.f64 1/216 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)))))) (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18)) (*.f64 x 1/6))) (fma.f64 -1/3 (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/12 1/8) (*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))))) |
(+.f64 (fma.f64 x (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)) 1/18))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 1/16 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18) (*.f64 (fma.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/8) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 5)) 1/18))) (*.f64 1/216 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2)))))) (pow.f64 x 3))) (*.f64 (fma.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18) (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 1/18)) 1/8) (*.f64 -1/3 (*.f64 x x)))))) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/3) |
(cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/9) y)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/3)) |
(fma.f64 1/6 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/18))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(fma.f64 y (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/18))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/9) y)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/3) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/9)) 1/8)))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/3))) |
(fma.f64 1/6 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/18))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (*.f64 (*.f64 y y) (fma.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/18)) 1/8))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(fma.f64 1/6 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/18))) (fma.f64 -1/3 (*.f64 (*.f64 y y) (*.f64 (fma.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/18)) 1/8) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(fma.f64 y (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/18))) (fma.f64 -1/3 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (fma.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/18)) 1/8))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/9) y)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/3) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/9)) 1/8)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/3) (*.f64 (pow.f64 y 3) (-.f64 1/16 (+.f64 (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/3)) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 5)) 1/9) (+.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/9)))))))))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/3)))) |
(fma.f64 1/6 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/18))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (*.f64 (*.f64 y y) (fma.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/18)) 1/8))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (*.f64 (pow.f64 y 3) (-.f64 1/16 (fma.f64 1/216 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (*.f64 -1/3 (*.f64 (fma.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/18)) 1/8) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 5)) 1/18)))))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) |
(fma.f64 1/6 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/18))) (fma.f64 -1/3 (*.f64 (*.f64 y y) (*.f64 (fma.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/18)) 1/8) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))))) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (*.f64 (-.f64 1/16 (fma.f64 -1/3 (*.f64 (fma.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/18)) 1/8) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 5)) 1/18))) (*.f64 1/216 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)))))) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) |
(+.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (fma.f64 y (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 y y) (fma.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/18)) 1/8))) (*.f64 1/3 (*.f64 (pow.f64 y 3) (-.f64 1/16 (fma.f64 (fma.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/18)) 1/8) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 5)) 1/18))) (*.f64 1/216 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)))))))))))) |
Compiled 30955 to 20740 computations (33% saved)
53 alts after pruning (50 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 802 | 34 | 836 |
| Fresh | 11 | 16 | 27 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 3 | 6 |
| Total | 817 | 53 | 870 |
| Status | Error | Program |
|---|---|---|
| 43.7b | (+.f64 1 (-.f64 (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) | |
| 27.5b | (+.f64 1 (pow.f64 (sqrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2)) | |
| 20.9b | (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 x)) | |
| 41.6b | (log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) | |
| 6.3b | (+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 36.0b | (-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 x)) | |
| 21.7b | (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) | |
| 22.8b | (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) | |
| 23.6b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z))) | |
| 27.5b | (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) | |
| 43.3b | (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) | |
| 41.6b | (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))) | |
| 49.2b | (+.f64 1 (-.f64 (/.f64 (-.f64 z x) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) | |
| 31.4b | (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) | |
| 39.0b | (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) | |
| 2.1b | (+.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 4.0b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 40.6b | (+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (fma.f64 (pow.f64 (+.f64 z 1) 1/4) (pow.f64 (+.f64 z 1) 1/4) (neg.f64 (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 43.4b | (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) | |
| 42.8b | (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) | |
| 43.3b | (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1)))) | |
| ✓ | 7.0b | (+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 3.3b | (+.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 31.6b | (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 y)) (sqrt.f64 x)) | |
| 56.4b | (fma.f64 (-.f64 z x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (neg.f64 (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) 1))) | |
| 27.7b | (+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 3)) | |
| 36.4b | (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 z x) (-.f64 (sqrt.f64 z) (sqrt.f64 x))))) | |
| 6.7b | (+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) | |
| ✓ | 41.6b | (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
| 6.2b | (+.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 27.4b | (+.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) | |
| 31.9b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (*.f64 (neg.f64 (pow.f64 y 1/4)) (pow.f64 y 1/4)))) | |
| 57.1b | (-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (-.f64 x y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))))) (sqrt.f64 x)) | |
| 7.5b | (+.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 20.8b | (+.f64 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 39.1b | (+.f64 1 (pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 2)) | |
| 57.1b | (-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))) (-.f64 x y)))) (sqrt.f64 x)) | |
| 41.5b | (fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 x))) | |
| 35.7b | (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (*.f64 (-.f64 z x) (/.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 x)))))) | |
| 45.2b | (+.f64 1 (-.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) 3) 1/3) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) | |
| 3.1b | (+.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (pow.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3/2) 1/3))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 42.2b | 1 | |
| 43.5b | (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))) 3) | |
| 4.6b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 32.8b | (-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 3)) (sqrt.f64 x)) | |
| 31.8b | (-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (+.f64 1 y) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) (+.f64 1 y)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 y))))))) (sqrt.f64 x)) | |
| 37.0b | (-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/8 (pow.f64 y 2)))))) (sqrt.f64 x)) | |
| 33.1b | (-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 1/3) 3)) (sqrt.f64 x)) | |
| 49.0b | (+.f64 1 (-.f64 (/.f64 (-.f64 (+.f64 1 x) (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) | |
| 4.8b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 42.3b | (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| ✓ | 2.1b | (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 43.4b | (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))) 2) |
Compiled 1485 to 1172 computations (21.1% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2) |
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 1 (*.f64 1/2 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 x))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 y)) (sqrt.f64 x)) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 y))) |
(+.f64 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 1 (-.f64 (/.f64 (-.f64 z x) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 z x) (-.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (*.f64 (-.f64 z x) (/.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(+.f64 1 (-.f64 (/.f64 (-.f64 (+.f64 1 x) (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(fma.f64 (-.f64 z x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (neg.f64 (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) 1))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 x)) |
(exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(+.f64 1 (-.f64 (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1)))) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 3)) |
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))) 3) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))) 2) |
(+.f64 1 (pow.f64 (sqrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2)) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 3)) |
(+.f64 1 (-.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) 3) 1/3) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 2)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (-.f64 x y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))) (-.f64 x y)))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/8 (pow.f64 y 2)))))) (sqrt.f64 x)) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 3)) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 1/3) 3)) (sqrt.f64 x)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (*.f64 (neg.f64 (pow.f64 y 1/4)) (pow.f64 y 1/4)))) |
(+.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (+.f64 1 y) 3/2)) (-.f64 (+.f64 (+.f64 1 x) (+.f64 1 y)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 y)))))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (+.f64 1 y) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) (+.f64 1 y)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 y))))))) (sqrt.f64 x)) |
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (sqrt.f64 x)))) 3) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y)))) 3)) (sqrt.f64 x)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (sqrt.f64 (pow.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) 2))) |
(+.f64 1 (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))) |
(+.f64 1 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 2)) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (fma.f64 (pow.f64 (+.f64 z 1) 1/4) (pow.f64 (+.f64 z 1) 1/4) (neg.f64 (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 3)) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (fma.f64 (pow.f64 (+.f64 z 1) 1/4) (pow.f64 (+.f64 z 1) 1/4) (neg.f64 (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (pow.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3/2) 1/3))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 z) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
16 calls:
| 137.0ms | z |
| 106.0ms | y |
| 78.0ms | t |
| 60.0ms | x |
| 47.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) |
| Error | Segments | Branch |
|---|---|---|
| 2.1b | 1 | x |
| 1.0b | 2 | y |
| 0.8b | 2 | z |
| 2.1b | 1 | t |
| 1.0b | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 1.0b | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 1.0b | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) |
| 1.0b | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) |
| 1.0b | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 1.0b | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 2.1b | 1 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 2.1b | 1 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 1.0b | 2 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 1.0b | 2 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 2.1b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 2.1b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 2559 to 1672 computations (34.7% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 122.0ms | 3.6634638227101813e+28 | 7.393212745795983e+29 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2) |
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 1 (*.f64 1/2 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 x))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 y)) (sqrt.f64 x)) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 y))) |
(+.f64 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 1 (-.f64 (/.f64 (-.f64 z x) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 z x) (-.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (*.f64 (-.f64 z x) (/.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(+.f64 1 (-.f64 (/.f64 (-.f64 (+.f64 1 x) (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(fma.f64 (-.f64 z x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (neg.f64 (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) 1))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 x)) |
(exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(+.f64 1 (-.f64 (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1)))) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 3)) |
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))) 3) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))) 2) |
(+.f64 1 (pow.f64 (sqrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2)) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 3)) |
(+.f64 1 (-.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) 3) 1/3) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 2)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (-.f64 x y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))) (-.f64 x y)))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/8 (pow.f64 y 2)))))) (sqrt.f64 x)) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 3)) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 1/3) 3)) (sqrt.f64 x)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (*.f64 (neg.f64 (pow.f64 y 1/4)) (pow.f64 y 1/4)))) |
(+.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (+.f64 1 y) 3/2)) (-.f64 (+.f64 (+.f64 1 x) (+.f64 1 y)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 y)))))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (+.f64 1 y) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) (+.f64 1 y)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 y))))))) (sqrt.f64 x)) |
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (sqrt.f64 x)))) 3) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y)))) 3)) (sqrt.f64 x)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (sqrt.f64 (pow.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) 2))) |
(+.f64 1 (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))) |
(+.f64 1 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 2)) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (fma.f64 (pow.f64 (+.f64 z 1) 1/4) (pow.f64 (+.f64 z 1) 1/4) (neg.f64 (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 3)) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (fma.f64 (pow.f64 (+.f64 z 1) 1/4) (pow.f64 (+.f64 z 1) 1/4) (neg.f64 (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
16 calls:
| 137.0ms | z |
| 111.0ms | y |
| 74.0ms | t |
| 58.0ms | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 58.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) |
| Error | Segments | Branch |
|---|---|---|
| 2.1b | 1 | x |
| 1.0b | 2 | y |
| 0.8b | 2 | z |
| 2.1b | 1 | t |
| 1.0b | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 1.0b | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 1.0b | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) |
| 1.0b | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) |
| 1.0b | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 1.0b | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 2.1b | 1 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 2.1b | 1 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 1.0b | 2 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 1.0b | 2 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 2.1b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 2.1b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 2406 to 1574 computations (34.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 91.0ms | 3.6634638227101813e+28 | 7.393212745795983e+29 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2) |
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 1 (*.f64 1/2 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 x))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 y)) (sqrt.f64 x)) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 y))) |
(+.f64 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 1 (-.f64 (/.f64 (-.f64 z x) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 z x) (-.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (*.f64 (-.f64 z x) (/.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(+.f64 1 (-.f64 (/.f64 (-.f64 (+.f64 1 x) (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(fma.f64 (-.f64 z x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (neg.f64 (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) 1))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 x)) |
(exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(+.f64 1 (-.f64 (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1)))) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 3)) |
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))) 3) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))) 2) |
(+.f64 1 (pow.f64 (sqrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2)) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 3)) |
(+.f64 1 (-.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) 3) 1/3) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 2)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (-.f64 x y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))) (-.f64 x y)))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/8 (pow.f64 y 2)))))) (sqrt.f64 x)) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 3)) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 1/3) 3)) (sqrt.f64 x)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (*.f64 (neg.f64 (pow.f64 y 1/4)) (pow.f64 y 1/4)))) |
(+.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (+.f64 1 y) 3/2)) (-.f64 (+.f64 (+.f64 1 x) (+.f64 1 y)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 y)))))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (+.f64 1 y) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) (+.f64 1 y)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 y))))))) (sqrt.f64 x)) |
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (sqrt.f64 x)))) 3) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y)))) 3)) (sqrt.f64 x)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (sqrt.f64 (pow.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) 2))) |
(+.f64 1 (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))) |
(+.f64 1 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 2)) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (fma.f64 (pow.f64 (+.f64 z 1) 1/4) (pow.f64 (+.f64 z 1) 1/4) (neg.f64 (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| Outputs |
|---|
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
16 calls:
| 400.0ms | y |
| 266.0ms | x |
| 168.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 163.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) |
| 134.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 1.7b | 2 | x |
| 1.7b | 2 | y |
| 2.2b | 2 | z |
| 3.4b | 1 | t |
| 1.7b | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 1.7b | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 1.7b | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) |
| 1.7b | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) |
| 1.7b | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 1.7b | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 1.7b | 2 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 1.7b | 2 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 2.2b | 2 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 2.2b | 2 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 3.4b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 3.4b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 2036 to 1335 computations (34.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.447318704274949e-5 | 0.00031481686460210767 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2) |
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 1 (*.f64 1/2 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 x))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 y)) (sqrt.f64 x)) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 y))) |
(+.f64 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 1 (-.f64 (/.f64 (-.f64 z x) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 z x) (-.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (*.f64 (-.f64 z x) (/.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(+.f64 1 (-.f64 (/.f64 (-.f64 (+.f64 1 x) (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(fma.f64 (-.f64 z x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (neg.f64 (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) 1))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 x)) |
(exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(+.f64 1 (-.f64 (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1)))) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 3)) |
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))) 3) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))) 2) |
(+.f64 1 (pow.f64 (sqrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2)) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 3)) |
(+.f64 1 (-.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) 3) 1/3) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 2)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (-.f64 x y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))) (-.f64 x y)))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/8 (pow.f64 y 2)))))) (sqrt.f64 x)) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 3)) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 1/3) 3)) (sqrt.f64 x)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (*.f64 (neg.f64 (pow.f64 y 1/4)) (pow.f64 y 1/4)))) |
(+.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (+.f64 1 y) 3/2)) (-.f64 (+.f64 (+.f64 1 x) (+.f64 1 y)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 y)))))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (+.f64 1 y) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) (+.f64 1 y)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 y))))))) (sqrt.f64 x)) |
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (sqrt.f64 x)))) 3) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y)))) 3)) (sqrt.f64 x)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (sqrt.f64 (pow.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) 2))) |
(+.f64 1 (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))) |
(+.f64 1 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 2)) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (fma.f64 (pow.f64 (+.f64 z 1) 1/4) (pow.f64 (+.f64 z 1) 1/4) (neg.f64 (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
15 calls:
| 248.0ms | y |
| 142.0ms | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
| 120.0ms | x |
| 94.0ms | z |
| 43.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 2.2b | 2 | x |
| 2.2b | 2 | y |
| 2.2b | 2 | z |
| 3.4b | 1 | t |
| 2.2b | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 2.2b | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 2.2b | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) |
| 2.2b | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) |
| 2.2b | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 2.2b | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 2.2b | 2 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 2.2b | 2 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 2.2b | 2 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 3.4b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 3.4b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 1982 to 1300 computations (34.4% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 337.0ms | 2522458.00101378 | 210366778.54587165 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2) |
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 1 (*.f64 1/2 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 x))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 y)) (sqrt.f64 x)) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 y))) |
(+.f64 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 1 (-.f64 (/.f64 (-.f64 z x) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 z x) (-.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (*.f64 (-.f64 z x) (/.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(+.f64 1 (-.f64 (/.f64 (-.f64 (+.f64 1 x) (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(fma.f64 (-.f64 z x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (neg.f64 (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) 1))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 x)) |
(exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(+.f64 1 (-.f64 (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1)))) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 3)) |
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))) 3) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))) 2) |
(+.f64 1 (pow.f64 (sqrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2)) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 3)) |
(+.f64 1 (-.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) 3) 1/3) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 2)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (-.f64 x y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))) (-.f64 x y)))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/8 (pow.f64 y 2)))))) (sqrt.f64 x)) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 3)) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 1/3) 3)) (sqrt.f64 x)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (*.f64 (neg.f64 (pow.f64 y 1/4)) (pow.f64 y 1/4)))) |
(+.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (+.f64 1 y) 3/2)) (-.f64 (+.f64 (+.f64 1 x) (+.f64 1 y)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 y)))))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (+.f64 1 y) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) (+.f64 1 y)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 y))))))) (sqrt.f64 x)) |
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (sqrt.f64 x)))) 3) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y)))) 3)) (sqrt.f64 x)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (sqrt.f64 (pow.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) 2))) |
(+.f64 1 (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))) |
(+.f64 1 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 2)) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (fma.f64 (pow.f64 (+.f64 z 1) 1/4) (pow.f64 (+.f64 z 1) 1/4) (neg.f64 (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
16 calls:
| 182.0ms | x |
| 158.0ms | y |
| 83.0ms | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 74.0ms | t |
| 71.0ms | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| Error | Segments | Branch |
|---|---|---|
| 2.2b | 2 | x |
| 2.2b | 2 | y |
| 4.6b | 1 | z |
| 4.6b | 1 | t |
| 2.2b | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 2.2b | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 2.2b | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) |
| 2.2b | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) |
| 2.2b | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 2.2b | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 2.2b | 2 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 2.2b | 2 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 2.2b | 2 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 4.6b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 4.6b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 4.6b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 1845 to 1220 computations (33.9% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 117.0ms | 2522458.00101378 | 210366778.54587165 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2) |
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 1 (*.f64 1/2 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 x))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 y)) (sqrt.f64 x)) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 y))) |
(+.f64 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 1 (-.f64 (/.f64 (-.f64 z x) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 z x) (-.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (*.f64 (-.f64 z x) (/.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(+.f64 1 (-.f64 (/.f64 (-.f64 (+.f64 1 x) (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(fma.f64 (-.f64 z x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (neg.f64 (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) 1))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 x)) |
(exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(+.f64 1 (-.f64 (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1)))) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 3)) |
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))) 3) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))) 2) |
(+.f64 1 (pow.f64 (sqrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2)) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 3)) |
(+.f64 1 (-.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) 3) 1/3) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 2)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (-.f64 x y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))) (-.f64 x y)))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/8 (pow.f64 y 2)))))) (sqrt.f64 x)) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 3)) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 1/3) 3)) (sqrt.f64 x)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (*.f64 (neg.f64 (pow.f64 y 1/4)) (pow.f64 y 1/4)))) |
(+.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (+.f64 1 y) 3/2)) (-.f64 (+.f64 (+.f64 1 x) (+.f64 1 y)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 y)))))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (+.f64 1 y) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) (+.f64 1 y)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 y))))))) (sqrt.f64 x)) |
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (sqrt.f64 x)))) 3) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y)))) 3)) (sqrt.f64 x)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (sqrt.f64 (pow.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) 2))) |
(+.f64 1 (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))) |
(+.f64 1 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 2)) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (fma.f64 (pow.f64 (+.f64 z 1) 1/4) (pow.f64 (+.f64 z 1) 1/4) (neg.f64 (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| Outputs |
|---|
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
15 calls:
| 223.0ms | x |
| 206.0ms | y |
| 66.0ms | z |
| 60.0ms | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 53.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 3.3b | 2 | x |
| 3.2b | 2 | y |
| 6.0b | 1 | z |
| 6.0b | 1 | t |
| 3.1b | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 3.1b | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 3.1b | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) |
| 3.1b | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) |
| 3.1b | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 3.1b | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 3.3b | 2 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 3.3b | 2 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 3.2b | 2 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 6.0b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 6.0b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 1801 to 1190 computations (33.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999999959 | 1.0 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2) |
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 1 (*.f64 1/2 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 x))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 y)) (sqrt.f64 x)) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 y))) |
(+.f64 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 1 (-.f64 (/.f64 (-.f64 z x) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 z x) (-.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (*.f64 (-.f64 z x) (/.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(+.f64 1 (-.f64 (/.f64 (-.f64 (+.f64 1 x) (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(fma.f64 (-.f64 z x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (neg.f64 (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) 1))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 x)) |
(exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(+.f64 1 (-.f64 (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1)))) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 3)) |
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))) 3) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))) 2) |
(+.f64 1 (pow.f64 (sqrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2)) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 3)) |
(+.f64 1 (-.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) 3) 1/3) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 2)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (-.f64 x y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))) (-.f64 x y)))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/8 (pow.f64 y 2)))))) (sqrt.f64 x)) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
| Outputs |
|---|
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
8 calls:
| 97.0ms | x |
| 95.0ms | y |
| 75.0ms | z |
| 69.0ms | t |
| 29.0ms | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| Error | Segments | Branch |
|---|---|---|
| 3.4b | 2 | x |
| 3.2b | 2 | y |
| 6.3b | 1 | z |
| 6.3b | 1 | t |
| 3.2b | 2 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 6.3b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 6.3b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 6.3b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 1091 to 706 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.239861249923706e-8 | 1.0589719749987125e-6 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2) |
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 1 (*.f64 1/2 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 x))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 y)) (sqrt.f64 x)) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 y))) |
(+.f64 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 1 (-.f64 (/.f64 (-.f64 z x) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 z x) (-.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (*.f64 (-.f64 z x) (/.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(+.f64 1 (-.f64 (/.f64 (-.f64 (+.f64 1 x) (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(fma.f64 (-.f64 z x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (neg.f64 (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) 1))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 x)) |
(exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(+.f64 1 (-.f64 (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1)))) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 3)) |
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))) 3) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))) 2) |
(+.f64 1 (pow.f64 (sqrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2)) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 3)) |
(+.f64 1 (-.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) 3) 1/3) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 2)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (-.f64 x y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))) (-.f64 x y)))) (sqrt.f64 x)) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/8 (pow.f64 y 2)))))) (sqrt.f64 x)) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
7 calls:
| 140.0ms | x |
| 134.0ms | z |
| 101.0ms | y |
| 91.0ms | t |
| 58.0ms | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
| Error | Segments | Branch |
|---|---|---|
| 4.1b | 2 | x |
| 3.9b | 2 | y |
| 7.0b | 1 | z |
| 7.0b | 1 | t |
| 3.9b | 2 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 7.0b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 7.0b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 1018 to 657 computations (35.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 192.0ms | 222920785924.61026 | 64968459270919.805 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2) |
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 1 (*.f64 1/2 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 x))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 y)) (sqrt.f64 x)) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 y))) |
(+.f64 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 1 (-.f64 (/.f64 (-.f64 z x) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 z x) (-.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (*.f64 (-.f64 z x) (/.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(+.f64 1 (-.f64 (/.f64 (-.f64 (+.f64 1 x) (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(fma.f64 (-.f64 z x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (neg.f64 (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) 1))) |
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 x)) |
(exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(+.f64 1 (-.f64 (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1)))) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 3)) |
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))) 3) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))) 2) |
(+.f64 1 (pow.f64 (sqrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2)) |
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 3)) |
(+.f64 1 (-.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) 3) 1/3) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 2)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
| Outputs |
|---|
(+.f64 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 x)) |
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
6 calls:
| 174.0ms | x |
| 167.0ms | y |
| 127.0ms | t |
| 52.0ms | z |
| 9.0ms | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| Error | Segments | Branch |
|---|---|---|
| 10.6b | 7 | x |
| 4.3b | 3 | y |
| 6.6b | 2 | z |
| 14.0b | 4 | t |
| 6.6b | 2 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 18.8b | 2 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 846 to 547 computations (35.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 108.0ms | 4.088889138972062e+51 | 8.6669056015864e+53 |
| 117.0ms | 1.0114918899052811e-22 | 3.991681630488757e-22 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2) |
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 1 (*.f64 1/2 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 x))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 y)) (sqrt.f64 x)) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 y) (sqrt.f64 t))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 y))) |
| Outputs |
|---|
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 x)) |
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
4 calls:
| 271.0ms | x |
| 49.0ms | t |
| 33.0ms | y |
| 22.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 12.4b | 7 | x |
| 6.2b | 3 | y |
| 8.6b | 2 | z |
| 16.9b | 2 | t |
Compiled 314 to 210 computations (33.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 173.0ms | 4.088889138972062e+51 | 8.6669056015864e+53 |
| 140.0ms | 1.0114918899052811e-22 | 3.991681630488757e-22 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2) |
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 1 (*.f64 1/2 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 x))) |
| Outputs |
|---|
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
4 calls:
| 47.0ms | x |
| 36.0ms | t |
| 23.0ms | y |
| 18.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 12.8b | 7 | x |
| 6.5b | 3 | y |
| 9.4b | 2 | z |
| 16.6b | 5 | t |
Compiled 178 to 127 computations (28.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 211.0ms | 222920785924.61026 | 64968459270919.805 |
| 175.0ms | 1.0114918899052811e-22 | 3.991681630488757e-22 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2) |
| Outputs |
|---|
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
4 calls:
| 29.0ms | x |
| 27.0ms | t |
| 11.0ms | z |
| 10.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 15.8b | 6 | x |
| 9.6b | 2 | y |
| 9.4b | 2 | z |
| 17.8b | 2 | t |
Compiled 86 to 64 computations (25.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 88.0ms | 378797530030433.6 | 1047263067948388.8 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
| Outputs |
|---|
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
4 calls:
| 25.0ms | z |
| 9.0ms | y |
| 9.0ms | x |
| 5.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 20.1b | 2 | x |
| 11.8b | 2 | y |
| 18.4b | 6 | z |
| 22.8b | 1 | t |
Compiled 59 to 45 computations (23.7% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 99.0ms | 0.12266591364158563 | 2.409068448218469 |
Compiled 42 to 33 computations (21.4% saved)
Total -0.7b remaining (-1.8%)
Threshold costs -0.7b (-1.8%)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
| Outputs |
|---|
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
4 calls:
| 105.0ms | x |
| 3.0ms | y |
| 3.0ms | t |
| 3.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 41.6b | 1 | x |
| 41.6b | 1 | y |
| 41.6b | 1 | z |
| 41.6b | 1 | t |
Compiled 32 to 26 computations (18.8% saved)
| 1× | egg-herbie |
| 59× | +-commutative_binary64 |
| 21× | sub-neg_binary64 |
| 11× | *-commutative_binary64 |
| 9× | neg-sub0_binary64 |
| 9× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 1125 |
| 1 | 191 | 1125 |
| 2 | 223 | 1125 |
| 3 | 241 | 1125 |
| 4 | 250 | 1125 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 z 36634638227101813129168814080) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) (+.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))) |
(if (<=.f64 z 36634638227101813129168814080) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 7378697629483821/147573952589676412928) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))) |
(if (<=.f64 x 1354234327485965/536870912) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))) |
(if (<=.f64 x 1354234327485965/536870912) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) 1) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) 944473296573929/9444732965739290427392) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))) |
(if (<=.f64 y 7304668313177629/32768) (+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
(if (<=.f64 y 8604821360457559/85070591730234615865843651857942052864) (+.f64 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) (if (<=.f64 y 4088889138972062218592739395175350730385288444510208) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(if (<=.f64 y 8604821360457559/85070591730234615865843651857942052864) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) (if (<=.f64 y 4088889138972062218592739395175350730385288444510208) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(if (<=.f64 y 8604821360457559/85070591730234615865843651857942052864) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) (if (<=.f64 y 7304668313177629/32768) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(if (<=.f64 z 3030380240243469/8) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
(if (<=.f64 y 1104876325934613/9007199254740992) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
1 |
| Outputs |
|---|
(if (<=.f64 z 36634638227101813129168814080) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) (+.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))) |
(if (<=.f64 z 36634638227101813129168814080) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 x (+.f64 x 1)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))))) |
(if (<=.f64 z 36634638227101813129168814080) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))) |
(if (<=.f64 z 36634638227101813129168814080) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (+.f64 (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 7378697629483821/147573952589676412928) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 7378697629483821/147573952589676412928) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))))) |
(if (<=.f64 x 1354234327485965/536870912) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))) |
(if (<=.f64 x 1354234327485965/536870912) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))))) |
(if (<=.f64 x 1354234327485965/536870912) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
(if (<=.f64 x 1354234327485965/536870912) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) 1) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) 1) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (+.f64 1 (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))))))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) 944473296573929/9444732965739290427392) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 944473296573929/9444732965739290427392) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))) |
(if (<=.f64 y 7304668313177629/32768) (+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
(if (<=.f64 y 7304668313177629/32768) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) |
(if (<=.f64 y 8604821360457559/85070591730234615865843651857942052864) (+.f64 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) (if (<=.f64 y 4088889138972062218592739395175350730385288444510208) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(if (<=.f64 y 8604821360457559/85070591730234615865843651857942052864) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) 2)) (if (<=.f64 y 4088889138972062218592739395175350730385288444510208) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) |
(if (<=.f64 y 8604821360457559/85070591730234615865843651857942052864) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) (if (<=.f64 y 4088889138972062218592739395175350730385288444510208) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(if (<=.f64 y 8604821360457559/85070591730234615865843651857942052864) (+.f64 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) 2) (if (<=.f64 y 4088889138972062218592739395175350730385288444510208) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) |
(if (<=.f64 y 8604821360457559/85070591730234615865843651857942052864) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) (if (<=.f64 y 7304668313177629/32768) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) |
(if (<=.f64 y 8604821360457559/85070591730234615865843651857942052864) (+.f64 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) 2) (if (<=.f64 y 7304668313177629/32768) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) |
(if (<=.f64 z 3030380240243469/8) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
(if (<=.f64 z 3030380240243469/8) (+.f64 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) 2) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
(if (<=.f64 y 1104876325934613/9007199254740992) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(if (<=.f64 y 1104876325934613/9007199254740992) (+.f64 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) 2) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) |
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
1 |
Compiled 775 to 569 computations (26.6% saved)
Compiled 911 to 596 computations (34.6% saved)
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