Time bar (total: 36.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 74.9% | 0.2% | 0% | 25% | 0% | 6 |
| 0% | 0% | 56.1% | 0.2% | 0% | 43.7% | 0% | 7 |
| 0% | 0% | 42.1% | 0.2% | 0% | 57.7% | 0% | 8 |
| 1.2% | 0.4% | 31.2% | 0.2% | 0% | 68.2% | 0% | 9 |
| 2.2% | 0.6% | 25.7% | 0.2% | 0% | 73.5% | 0% | 10 |
| 4% | 0.9% | 21.1% | 0.2% | 0% | 77.9% | 0% | 11 |
| 7.2% | 1.3% | 17% | 0.2% | 0% | 81.5% | 0% | 12 |
Compiled 36 to 28 computations (22.2% saved)
| 5.8s | 15944× | body | 256 | invalid |
| 3.3s | 4463× | body | 512 | valid |
| 1.7s | 1817× | body | 1024 | valid |
| 729.0ms | 1976× | 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 |
|---|---|---|
| ▶ | 4.5b | (+.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))) |
| ▶ | 41.9b | (+.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 70 to 54 computations (22.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t))) |
| ✓ | 1.2b | (+.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)))))) |
| ✓ | 12.9b | (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t))))) |
| ✓ | 14.5b | (+.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 | @ | 0 | (+.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 | 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 | 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)))))) |
| 1.0ms | y | @ | -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× | 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 |
|---|
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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 |
|---|---|---|
| ✓ | 0.6b | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| ✓ | 2.0b | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
| ✓ | 4.8b | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| ✓ | 5.2b | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
Compiled 142 to 87 computations (38.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 1.0ms | x | @ | inf | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 1.0ms | t | @ | inf | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
| 1.0ms | z | @ | inf | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 1.0ms | z | @ | -inf | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 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 y 1)) (sqrt.f64 y)) |
(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
(-.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)
20 alts after pruning (19 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 320 | 19 | 339 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 321 | 20 | 341 |
| Status | Error | Program |
|---|---|---|
| 4.7b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| ▶ | 2.7b | (+.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))) |
| 10.2b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (*.f64 (-.f64 (pow.f64 (+.f64 1 z) 3/2) (pow.f64 z 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 1 z) z) (sqrt.f64 (*.f64 (+.f64 1 z) z)))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 20.2b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 25.8b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) | |
| 41.3b | (-.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)))) | |
| ✓ | 4.5b | (+.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))) |
| 4.1b | (+.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)))) | |
| 41.9b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) | |
| 18.5b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 y) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 4.5b | (+.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (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))) | |
| 25.8b | (+.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))) | |
| 18.1b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (cbrt.f64 (+.f64 y 1)) (cbrt.f64 (sqrt.f64 (+.f64 y 1))) (neg.f64 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| ▶ | 4.5b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) 2)) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| ▶ | 39.7b | (+.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)))) |
| ▶ | 3.5b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| ▶ | 34.5b | (+.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))))))) |
| 12.2b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 y)) 3)) (+.f64 (+.f64 y 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 y 1)) (neg.f64 (sqrt.f64 y))))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 4.5b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (*.f64 (+.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 z 1/4)) (-.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 z 1/4)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 4.1b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 y (-.f64 1 y)) (+.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 1517 to 1151 computations (24.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.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))) |
| 2.0b | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) | |
| 4.8b | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) | |
| 5.2b | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
Compiled 181 to 106 computations (41.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (+.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))) |
| 2.0ms | x | @ | inf | (+.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))) |
| 2.0ms | x | @ | 0 | (+.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))) |
| 1.0ms | y | @ | -inf | (+.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))) |
| 1.0ms | y | @ | inf | (+.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))) |
| 1× | batch-egg-rewrite |
| 524× | fma-neg_binary64 |
| 282× | log1p-udef_binary64 |
| 281× | expm1-udef_binary64 |
| 242× | log-pow_binary64 |
| 221× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 27 |
| 1 | 393 | 24 |
| 2 | 5191 | 24 |
| 1× | node limit |
| Inputs |
|---|
(+.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))) |
| Outputs |
|---|
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(*.f64 (exp.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))) (exp.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (exp.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (+.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 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))) (exp.f64 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))) (exp.f64 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (exp.f64 (neg.f64 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (exp.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 1 y)))) (exp.f64 (neg.f64 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (/.f64 1 (exp.f64 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (exp.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 1 y)))) (/.f64 1 (exp.f64 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.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 (-.f64 (sqrt.f64 y) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (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 (neg.f64 (-.f64 (sqrt.f64 y) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (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 (-.f64 (sqrt.f64 y) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 y))) (cbrt.f64 (+.f64 1 y)) (neg.f64 (-.f64 (sqrt.f64 y) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))) (#(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))) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (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 (-.f64 (sqrt.f64 y) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (cbrt.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y))))) (cbrt.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 y) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 y))) (neg.f64 (-.f64 (sqrt.f64 y) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 y)) (neg.f64 (-.f64 (sqrt.f64 y) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 y) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 y)) 1/2) (neg.f64 (-.f64 (sqrt.f64 y) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))))) |
| 1× | egg-herbie |
| 94× | fma-neg_binary64 |
| 91× | fma-def_binary64 |
| 39× | distribute-rgt-in_binary64 |
| 35× | associate--r+_binary64 |
| 32× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 45 |
| 1 | 26 | 45 |
| 2 | 36 | 45 |
| 3 | 54 | 45 |
| 4 | 81 | 45 |
| 5 | 121 | 45 |
| 6 | 210 | 45 |
| 7 | 348 | 45 |
| 8 | 463 | 45 |
| 9 | 546 | 45 |
| 10 | 622 | 45 |
| 11 | 632 | 45 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
| Outputs |
|---|
(-.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)) (-.f64 1 (sqrt.f64 y))) |
(+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (sqrt.f64 t) (sqrt.f64 y)) |
| ✓ | 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)))) |
| ✓ | 3.7b | (-.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 | |
|---|---|---|---|---|
| 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 | 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 | 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)))) |
| 1.0ms | 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 | 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× | 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 | 80 |
| 1 | 452 | 80 |
| 2 | 7211 | 80 |
| 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 t) (sqrt.f64 y)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 t (-.f64 (sqrt.f64 t) (sqrt.f64 y))) (/.f64 y (-.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 2) (cbrt.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 t 3/2) (pow.f64 y 3/2)) (/.f64 1 (-.f64 (+.f64 t y) (sqrt.f64 (*.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 t y) (/.f64 1 (-.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 t y) (sqrt.f64 (*.f64 t y))) (+.f64 (pow.f64 t 3/2) (pow.f64 y 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 y)) (-.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 t 3/2) (pow.f64 y 3/2)) (-.f64 (+.f64 t y) (sqrt.f64 (*.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 t 3/2) (pow.f64 y 3/2)) (+.f64 y (-.f64 t (sqrt.f64 (*.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 t y) (-.f64 (sqrt.f64 t) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 t 3/2) (pow.f64 y 3/2))) (neg.f64 (-.f64 (+.f64 t y) (sqrt.f64 (*.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 t y)) (neg.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y t) (-.f64 (sqrt.f64 y) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 t 1/4) (pow.f64 y 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 t) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 y) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 t) (cbrt.f64 (sqrt.f64 t)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t 1/4) (pow.f64 t 1/4) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y 1/4) (pow.f64 y 1/4) (sqrt.f64 t)))))) |
| 1× | egg-herbie |
| 869× | sub-neg_binary64 |
| 693× | fma-def_binary64 |
| 602× | unswap-sqr_binary64 |
| 500× | associate-*l*_binary64 |
| 373× | +-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 289 |
| 1 | 162 | 285 |
| 2 | 421 | 285 |
| 3 | 1457 | 279 |
| 4 | 3825 | 278 |
| 5 | 7167 | 278 |
| 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)) |
(sqrt.f64 y) |
(sqrt.f64 t) |
| 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 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 y)))) (+.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 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (+.f64 (sqrt.f64 y) (sqrt.f64 t))))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (+.f64 (sqrt.f64 y) (sqrt.f64 t))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 1 (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 (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 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 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.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 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 t))) (sqrt.f64 x))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) |
(-.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 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 t))) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (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 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) |
(+.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 (sqrt.f64 (+.f64 1 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
(-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 y) -1))) |
(-.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 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 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (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 1 (-.f64 (fma.f64 y 1/2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (fma.f64 y 1/2 1) (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 (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 (fma.f64 y 1/2 (sqrt.f64 (+.f64 1 x))) (-.f64 (fma.f64 y (*.f64 y -1/8) 1) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 y (fma.f64 y -1/8 1/2) (-.f64 1 (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 (+.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 (+.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)))))) (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 1 (fma.f64 y 1/2 (-.f64 (fma.f64 1/16 (pow.f64 y 3) (fma.f64 -1/8 (*.f64 y y) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))) |
(+.f64 1 (fma.f64 y 1/2 (-.f64 (fma.f64 y (*.f64 y (fma.f64 y 1/16 -1/8)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 y (+.f64 (*.f64 y (fma.f64 y 1/16 -1/8)) 1/2) (-.f64 1 (sqrt.f64 x)))) |
(sqrt.f64 y) |
(sqrt.f64 t) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (+.f64 z 1)) |
| ✓ | 0.0b | (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) |
| ✓ | 0.1b | (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
| ✓ | 3.8b | (+.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)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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)))))) |
| 1.0ms | 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 | t | @ | 0 | (+.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 | 85 |
| 1 | 451 | 85 |
| 2 | 7129 | 85 |
| 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 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))))) |
(sqrt.f64 (+.f64 z 1)) |
| Outputs |
|---|
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z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 1 z) (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 2))) (neg.f64 (+.f64 (-.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 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) 3) (pow.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) 3)) (+.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) 2) (*.f64 (+.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 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (pow.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) 2)) (+.f64 (+.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 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 2) (+.f64 1 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 z)) (cbrt.f64 (sqrt.f64 (+.f64 1 z))) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 (+.f64 1 z) 1/4) (-.f64 (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 (sqrt.f64 (+.f64 1 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 z))) (cbrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 z)) (cbrt.f64 (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 (+.f64 1 z) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 z)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 z z -1)) (sqrt.f64 (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 z 3))) (sqrt.f64 (fma.f64 z z (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 z) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 z) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 z) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 z) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 z)) 1)))))) |
| 1× | egg-herbie |
| 856× | sub-neg_binary64 |
| 801× | fma-def_binary64 |
| 647× | fma-neg_binary64 |
| 536× | unswap-sqr_binary64 |
| 484× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 314 |
| 1 | 139 | 312 |
| 2 | 339 | 308 |
| 3 | 944 | 302 |
| 4 | 2859 | 302 |
| 5 | 6251 | 302 |
| 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 (sqrt.f64 x) (sqrt.f64 t)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 x)) |
(+.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))) |
1 |
(+.f64 1 (*.f64 1/2 z)) |
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 z 2)) (*.f64 1/2 z))) |
(+.f64 (*.f64 1/16 (pow.f64 z 3)) (+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 z 2)) (*.f64 1/2 z)))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 x)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 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 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (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 1 (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (sqrt.f64 x)) (sqrt.f64 t))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 t)) (sqrt.f64 x)))) |
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) -1))) |
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (sqrt.f64 x)) (sqrt.f64 t)) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 t)) (sqrt.f64 x))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (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 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 t)) (sqrt.f64 z)))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (+.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 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 t)) (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 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(+.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) (+.f64 (sqrt.f64 t) -1))) |
(-.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 1 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 t)) (sqrt.f64 z))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (+.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 t)) (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 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 z))) |
1 |
(+.f64 1 (*.f64 1/2 z)) |
(+.f64 1 (*.f64 z 1/2)) |
(fma.f64 z 1/2 1) |
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 z 2)) (*.f64 1/2 z))) |
(+.f64 1 (fma.f64 -1/8 (*.f64 z z) (*.f64 z 1/2))) |
(+.f64 (fma.f64 z 1/2 1) (*.f64 z (*.f64 z -1/8))) |
(fma.f64 z 1/2 (fma.f64 z (*.f64 z -1/8) 1)) |
(fma.f64 z (fma.f64 z -1/8 1/2) 1) |
(+.f64 (*.f64 1/16 (pow.f64 z 3)) (+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 z 2)) (*.f64 1/2 z)))) |
(fma.f64 1/16 (pow.f64 z 3) (+.f64 1 (fma.f64 -1/8 (*.f64 z z) (*.f64 z 1/2)))) |
(+.f64 (fma.f64 z 1/2 (*.f64 z (*.f64 z -1/8))) (fma.f64 1/16 (pow.f64 z 3) 1)) |
(fma.f64 1/16 (pow.f64 z 3) (fma.f64 z 1/2 (fma.f64 z (*.f64 z -1/8) 1))) |
(fma.f64 1/16 (pow.f64 z 3) (fma.f64 z (fma.f64 z -1/8 1/2) 1)) |
(fma.f64 z 1/2 (fma.f64 z (*.f64 z (fma.f64 z 1/16 -1/8)) 1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) |
| 0.6b | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) | |
| 2.0b | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) | |
| 5.2b | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
Compiled 175 to 103 computations (41.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) |
| 1.0ms | z | @ | inf | (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) |
| 1.0ms | z | @ | 0 | (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) |
| 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 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 z)) (*.f64 -1 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 z)) (*.f64 (neg.f64 (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 z)) (*.f64 (neg.f64 (pow.f64 z 1/4)) (pow.f64 z 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z)) (fma.f64 (neg.f64 (sqrt.f64 z)) 1 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 z) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z)) (fma.f64 (neg.f64 (pow.f64 z 1/4)) (pow.f64 z 1/4) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z))) 2) (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z))) (sqrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 z 1/4)) (-.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 z 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 z) 3/2) (pow.f64 z 3/2))) (-.f64 (+.f64 (+.f64 1 z) z) (sqrt.f64 (*.f64 (+.f64 1 z) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 z))) (exp.f64 (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 z)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 z))) (neg.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 (+.f64 1 z) 1/4) (neg.f64 (sqrt.f64 z))))))) |
| 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 |
|---|---|---|
| 0.6b | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) | |
| 2.0b | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) | |
| 4.8b | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) | |
| 5.2b | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
Compiled 170 to 109 computations (35.9% saved)
Compiled 33835 to 20663 computations (38.9% saved)
37 alts after pruning (35 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 842 | 25 | 867 |
| Fresh | 4 | 10 | 14 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 850 | 37 | 887 |
| Status | Error | Program |
|---|---|---|
| ▶ | 4.7b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 39.7b | (+.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))) | |
| 43.8b | (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 10.2b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (*.f64 (-.f64 (pow.f64 (+.f64 1 z) 3/2) (pow.f64 z 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 1 z) z) (sqrt.f64 (*.f64 (+.f64 1 z) z)))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 4.5b | (+.f64 (+.f64 (*.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 41.3b | (-.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)))) | |
| ✓ | 4.5b | (+.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))) |
| 1.8b | (+.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 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| ▶ | 1.6b | (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.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))) |
| 42.1b | (+.f64 1 (-.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))))) | |
| 3.2b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) | |
| 53.4b | (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (cbrt.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)))) 3)))) | |
| 3.5b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) 2)) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 4.1b | (+.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)))) | |
| 41.9b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) | |
| 19.6b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 5.5b | (+.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.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))) | |
| 37.0b | (+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 3.1b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 y (-.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| ▶ | 34.6b | (+.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)) |
| ✓ | 3.5b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 17.1b | (+.f64 (+.f64 (-.f64 (+.f64 1 (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))) | |
| ▶ | 54.3b | (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
| 12.2b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 y)) 3)) (+.f64 (+.f64 y 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 y 1)) (neg.f64 (sqrt.f64 y))))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 37.8b | (+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) | |
| 18.5b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 y) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 11.4b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 y)) 3)) (+.f64 (+.f64 y 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 y 1)) (neg.f64 (sqrt.f64 y))))))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 35.0b | (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) | |
| ▶ | 25.8b | (+.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))) |
| 18.1b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (cbrt.f64 (+.f64 y 1)) (cbrt.f64 (sqrt.f64 (+.f64 y 1))) (neg.f64 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 24.3b | (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 z)))) | |
| 35.0b | (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 34.5b | (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) | |
| 4.1b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 y (-.f64 1 y)) (+.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))) | |
| 24.5b | (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) | |
| 4.5b | (+.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.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))) | |
| 3.5b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
Compiled 2598 to 1974 computations (24% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
| ✓ | 0.1b | (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
| 2.0b | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) | |
| 4.8b | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
Compiled 262 to 144 computations (45% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | -inf | (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
| 7.0ms | x | @ | inf | (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
| 6.0ms | y | @ | inf | (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
| 5.0ms | y | @ | -inf | (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
| 5.0ms | y | @ | 0 | (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
| 1× | batch-egg-rewrite |
| 533× | fma-neg_binary64 |
| 290× | expm1-udef_binary64 |
| 290× | log1p-udef_binary64 |
| 245× | log-pow_binary64 |
| 183× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 74 |
| 1 | 423 | 74 |
| 2 | 5689 | 74 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (+.f64 1 x) x) 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 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2))) (*.f64 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x))) (-.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (+.f64 1 x) x) (+.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2))) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 3) (pow.f64 (*.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 3)) (+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) 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expm1.f64 (log1p.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (*.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 y)) (*.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))))) |
| 1× | egg-herbie |
| 12× | +-commutative_binary64 |
| 6× | associate-+r+_binary64 |
| 6× | associate-+l+_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 76 |
| 1 | 29 | 76 |
| 2 | 43 | 76 |
| 3 | 47 | 76 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) |
(/.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
| Outputs |
|---|
(/.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) |
(/.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(/.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (sqrt.f64 t) (sqrt.f64 y)) | |
| ✓ | 1.3b | (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
| 3.7b | (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) |
Compiled 55 to 30 computations (45.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
| 1.0ms | t | @ | -inf | (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
| 1.0ms | t | @ | inf | (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
| 1.0ms | y | @ | 0 | (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
| 1.0ms | y | @ | inf | (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
| 1× | batch-egg-rewrite |
| 659× | log-prod_binary64 |
| 617× | fma-neg_binary64 |
| 258× | expm1-udef_binary64 |
| 258× | log1p-udef_binary64 |
| 220× | log-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 24 |
| 1 | 301 | 24 |
| 2 | 4608 | 24 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 228× | fma-def_binary64 |
| 198× | fma-neg_binary64 |
| 82× | cancel-sign-sub-inv_binary64 |
| 60× | distribute-rgt-in_binary64 |
| 59× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 50 |
| 1 | 30 | 50 |
| 2 | 49 | 50 |
| 3 | 86 | 50 |
| 4 | 140 | 50 |
| 5 | 232 | 50 |
| 6 | 425 | 50 |
| 7 | 599 | 50 |
| 8 | 852 | 50 |
| 9 | 1052 | 50 |
| 10 | 1204 | 50 |
| 11 | 1216 | 50 |
| 1× | saturated |
| Inputs |
|---|
(-.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 y))) (sqrt.f64 y)) |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
| Outputs |
|---|
(-.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 y))) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (+.f64 1 z)) |
| ✓ | 0.0b | (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) |
| ✓ | 8.1b | (+.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))) |
| ✓ | 12.8b | (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z)) |
Compiled 94 to 58 computations (38.3% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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)) (sqrt.f64 z))) |
| 1.0ms | y | @ | -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)) (sqrt.f64 z))) |
| 1.0ms | z | @ | -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)) (sqrt.f64 z))) |
| 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)) (sqrt.f64 z))) |
| 1.0ms | y | @ | 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)) (sqrt.f64 z))) |
| 1× | batch-egg-rewrite |
| 393× | log1p-udef_binary64 |
| 392× | expm1-udef_binary64 |
| 240× | add-sqr-sqrt_binary64 |
| 237× | *-un-lft-identity_binary64 |
| 237× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 70 |
| 1 | 453 | 70 |
| 2 | 7195 | 70 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 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)) (sqrt.f64 z))) |
(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 1 z)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 z)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 z)) (*.f64 (neg.f64 (sqrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (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 z)) (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 z)) (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 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 z) 3/2) (pow.f64 y 3/2)) (/.f64 1 (+.f64 (+.f64 1 z) (+.f64 y (sqrt.f64 (*.f64 (+.f64 1 z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 z y)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 y 1/4)) (-.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 z) (+.f64 y (sqrt.f64 (*.f64 (+.f64 1 z) y)))) (-.f64 (pow.f64 (+.f64 1 z) 3/2) (pow.f64 y 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 1 (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 z) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 1 z) (+.f64 y (sqrt.f64 (*.f64 (+.f64 1 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (-.f64 z y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 z) 3/2) (pow.f64 y 3/2))) (neg.f64 (+.f64 (+.f64 1 z) (+.f64 y (sqrt.f64 (*.f64 (+.f64 1 z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (-.f64 z y))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 z) 3/2) (pow.f64 (neg.f64 (sqrt.f64 y)) 3)) (+.f64 (+.f64 1 z) (-.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 1 z)) (neg.f64 (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 z) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 1 z)) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 z)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 z)) (cbrt.f64 (sqrt.f64 (+.f64 1 z))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 (+.f64 1 z) 1/4) (neg.f64 (sqrt.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 z))) (cbrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 z)) (cbrt.f64 (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 (+.f64 1 z) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 z)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 z z))) (sqrt.f64 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 z 3))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 z z) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 z) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 z) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 z) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 z) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 z)) 1)))))) |
| 1× | egg-herbie |
| 655× | sub-neg_binary64 |
| 600× | unswap-sqr_binary64 |
| 493× | associate-*l*_binary64 |
| 421× | fma-def_binary64 |
| 409× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 287 |
| 1 | 138 | 283 |
| 2 | 347 | 275 |
| 3 | 1122 | 263 |
| 4 | 3482 | 263 |
| 5 | 6697 | 263 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (sqrt.f64 y)) |
(*.f64 -1 (sqrt.f64 y)) |
(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 y))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(-.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 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 y)) |
(-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 z 2)) (*.f64 1/2 z))) (sqrt.f64 y)) |
(-.f64 (+.f64 (*.f64 1/16 (pow.f64 z 3)) (+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 z 2)) (*.f64 1/2 z)))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 1 z)) |
1 |
(+.f64 1 (*.f64 1/2 z)) |
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 z 2)) (*.f64 1/2 z))) |
(+.f64 (*.f64 1/16 (pow.f64 z 3)) (+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 z 2)) (*.f64 1/2 z)))) |
| Outputs |
|---|
(-.f64 1 (sqrt.f64 y)) |
(*.f64 -1 (sqrt.f64 y)) |
(neg.f64 (sqrt.f64 y)) |
(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 z)) (sqrt.f64 y)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 y))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 z)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.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 (sqrt.f64 (+.f64 1 x)) (+.f64 (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 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 1 (sqrt.f64 x)) (sqrt.f64 z)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (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 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(-.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 1 (-.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 (-.f64 1 (sqrt.f64 y)) (sqrt.f64 x)))) |
(+.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 (-.f64 1 (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 (+.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 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) |
(-.f64 1 (sqrt.f64 y)) |
(-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) |
(-.f64 (+.f64 1 (*.f64 z 1/2)) (sqrt.f64 y)) |
(-.f64 (fma.f64 z 1/2 1) (sqrt.f64 y)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 z 2)) (*.f64 1/2 z))) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (fma.f64 -1/8 (*.f64 z z) (*.f64 z 1/2)) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (fma.f64 z 1/2 (*.f64 z (*.f64 z -1/8))) (sqrt.f64 y))) |
(-.f64 (fma.f64 z 1/2 (fma.f64 z (*.f64 z -1/8) 1)) (sqrt.f64 y)) |
(fma.f64 z (fma.f64 z -1/8 1/2) (-.f64 1 (sqrt.f64 y))) |
(-.f64 (+.f64 (*.f64 1/16 (pow.f64 z 3)) (+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 z 2)) (*.f64 1/2 z)))) (sqrt.f64 y)) |
(-.f64 (fma.f64 1/16 (pow.f64 z 3) (+.f64 1 (fma.f64 -1/8 (*.f64 z z) (*.f64 z 1/2)))) (sqrt.f64 y)) |
(+.f64 (fma.f64 1/16 (pow.f64 z 3) 1) (-.f64 (fma.f64 z 1/2 (*.f64 z (*.f64 z -1/8))) (sqrt.f64 y))) |
(-.f64 (fma.f64 1/16 (pow.f64 z 3) (fma.f64 z 1/2 (fma.f64 z (*.f64 z -1/8) 1))) (sqrt.f64 y)) |
(-.f64 (fma.f64 z (fma.f64 z -1/8 1/2) (fma.f64 1/16 (pow.f64 z 3) 1)) (sqrt.f64 y)) |
(fma.f64 z (fma.f64 z -1/8 1/2) (-.f64 (fma.f64 1/16 (pow.f64 z 3) 1) (sqrt.f64 y))) |
(sqrt.f64 (+.f64 1 z)) |
1 |
(+.f64 1 (*.f64 1/2 z)) |
(+.f64 1 (*.f64 z 1/2)) |
(fma.f64 z 1/2 1) |
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 z 2)) (*.f64 1/2 z))) |
(+.f64 1 (fma.f64 -1/8 (*.f64 z z) (*.f64 z 1/2))) |
(+.f64 (fma.f64 z 1/2 1) (*.f64 z (*.f64 z -1/8))) |
(fma.f64 z 1/2 (fma.f64 z (*.f64 z -1/8) 1)) |
(fma.f64 z (fma.f64 z -1/8 1/2) 1) |
(+.f64 (*.f64 1/16 (pow.f64 z 3)) (+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 z 2)) (*.f64 1/2 z)))) |
(fma.f64 1/16 (pow.f64 z 3) (+.f64 1 (fma.f64 -1/8 (*.f64 z z) (*.f64 z 1/2)))) |
(fma.f64 1/16 (pow.f64 z 3) (+.f64 (fma.f64 z 1/2 1) (*.f64 z (*.f64 z -1/8)))) |
(fma.f64 1/16 (pow.f64 z 3) (fma.f64 z 1/2 (fma.f64 z (*.f64 z -1/8) 1))) |
(fma.f64 z (fma.f64 z -1/8 1/2) (fma.f64 1/16 (pow.f64 z 3) 1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) | |
| ✓ | 0.1b | (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)))))) |
| ✓ | 0.1b | (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) |
| ✓ | 3.8b | (+.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 | |
|---|---|---|---|---|
| 24.0ms | z | @ | -inf | (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) |
| 15.0ms | z | @ | 0 | (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) |
| 10.0ms | x | @ | -inf | (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) |
| 9.0ms | t | @ | 0 | (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) |
| 8.0ms | t | @ | -inf | (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) |
| 1× | batch-egg-rewrite |
| 419× | log1p-udef_binary64 |
| 257× | add-sqr-sqrt_binary64 |
| 251× | pow1_binary64 |
| 250× | *-un-lft-identity_binary64 |
| 239× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 113 |
| 1 | 517 | 113 |
| 2 | 7729 | 113 |
| 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))))) |
(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) |
(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)))))) |
| Outputs |
|---|
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2))) (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))) 1)))))) |
| 1× | egg-herbie |
| 702× | fma-def_binary64 |
| 608× | fma-neg_binary64 |
| 538× | sub-neg_binary64 |
| 381× | associate-*l*_binary64 |
| 370× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 471 |
| 1 | 147 | 471 |
| 2 | 372 | 471 |
| 3 | 1430 | 471 |
| 4 | 4805 | 471 |
| 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 (pow.f64 1 1/3) (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(pow.f64 (*.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) 2)) 1/3) |
(*.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (pow.f64 1 1/3)) |
(*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
(pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/3) |
(pow.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/3) |
(pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) 1/3) |
(pow.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) 1/3) |
(pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/3) |
(pow.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/3) |
| Outputs |
|---|
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (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 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (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 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.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 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 1 x)))))) |
(-.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 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) |
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 1 x))))) |
(-.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 t)) (+.f64 1 (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 z)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) -1))) |
(-.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 (pow.f64 1 1/3) (-.f64 (+.f64 1 (+.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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (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 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) (sqrt.f64 x))) |
(*.f64 (pow.f64 1 1/3) (-.f64 (+.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 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.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)))) |
(pow.f64 (*.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) 2)) 1/3) |
(-.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (pow.f64 1 1/3)) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) |
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) |
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (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 t)) (+.f64 1 (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 z)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) -1))) |
(*.f64 (pow.f64 1 1/3) (-.f64 (+.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 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
(pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/3) |
(cbrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(cbrt.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) |
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) (sqrt.f64 x)))) |
(pow.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/3) |
(cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) |
(pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) 1/3) |
(cbrt.f64 (-.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) |
(cbrt.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))) |
(cbrt.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))) |
(cbrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 1 x))))))) |
(pow.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) 1/3) |
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))) |
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))) |
(cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 1 x)))))) |
(pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/3) |
(cbrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
(cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 1 (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))) |
(cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 z)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 t)))) |
(cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) -1)))) |
(pow.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/3) |
(cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 2.0b | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) | |
| ✓ | 3.3b | (sqrt.f64 (*.f64 (+.f64 y 1) y)) |
| 4.8b | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) | |
| ✓ | 5.8b | (-.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2)) |
Compiled 242 to 163 computations (32.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (-.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2)) |
| 1.0ms | y | @ | inf | (-.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2)) |
| 1.0ms | y | @ | 0 | (-.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2)) |
| 1.0ms | y | @ | -inf | (sqrt.f64 (*.f64 (+.f64 y 1) y)) |
| 1.0ms | y | @ | 0 | (sqrt.f64 (*.f64 (+.f64 y 1) y)) |
| 1× | batch-egg-rewrite |
| 877× | prod-diff_binary64 |
| 466× | log-prod_binary64 |
| 351× | fma-def_binary64 |
| 264× | pow2_binary64 |
| 193× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 22 |
| 1 | 225 | 22 |
| 2 | 2965 | 19 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2)) |
(sqrt.f64 (*.f64 (+.f64 y 1) y)) |
| Outputs |
|---|
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3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y 1)) (+.f64 y 1) (neg.f64 (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y 1)) (+.f64 y 1) (*.f64 (neg.f64 (pow.f64 y 3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2))) (fma.f64 (neg.f64 (pow.f64 y 3/2)) 1 (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2))) (fma.f64 (neg.f64 (sqrt.f64 y)) y (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2))) (+.f64 (neg.f64 (pow.f64 y 3/2)) (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 y 1) 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(+.f64 y 1) 3/2) (pow.f64 y 3/2))) (fma.f64 (neg.f64 (sqrt.f64 y)) y (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 y 1) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2))) (+.f64 (neg.f64 (pow.f64 y 3/2)) (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 y 1) 3/4) (pow.f64 (+.f64 y 1) 3/4) (neg.f64 (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 y 1) 3/4) (pow.f64 (+.f64 y 1) 3/4) (*.f64 (neg.f64 (pow.f64 y 3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y 3/4) (neg.f64 (pow.f64 y 3/4)) (pow.f64 (+.f64 y 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 y 3/2))) 2) (cbrt.f64 (neg.f64 (pow.f64 y 3/2))) (pow.f64 (+.f64 y 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (pow.f64 y 3/2))) (sqrt.f64 (neg.f64 (pow.f64 y 3/2))) (pow.f64 (+.f64 y 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 y 3/4)) (pow.f64 y 3/4) (pow.f64 (+.f64 y 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 y 3/2) (pow.f64 (+.f64 y 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 y 1) 3/2) (neg.f64 (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 y 1) 3/2) (*.f64 (neg.f64 (pow.f64 y 3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 y 1) 3/4) (pow.f64 y 3/4)) (-.f64 (pow.f64 (+.f64 y 1) 3/4) (pow.f64 y 3/4)) (fma.f64 (neg.f64 (pow.f64 y 3/2)) 1 (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 y 1) 3/4) (pow.f64 y 3/4)) (-.f64 (pow.f64 (+.f64 y 1) 3/4) (pow.f64 y 3/4)) (fma.f64 (neg.f64 (sqrt.f64 y)) y (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 y 1) 3/4) (pow.f64 y 3/4)) (-.f64 (pow.f64 (+.f64 y 1) 3/4) (pow.f64 y 3/4)) (+.f64 (neg.f64 (pow.f64 y 3/2)) (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) (sqrt.f64 y) (pow.f64 (+.f64 y 1) 3/2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 y (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 y (sqrt.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 y (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 y (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y y y)) (pow.f64 (fma.f64 y y y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y y y) 1/6) (cbrt.f64 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y y y) 1/4) (pow.f64 (fma.f64 y y y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 y (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y y y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 y (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y y y) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y y y) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y y y)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y y y) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y y y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y y y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 y (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 y (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 y (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y y y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 y (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 y (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 y (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 y (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y y y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 y (sqrt.f64 y))) 1)))))) |
| 1× | egg-herbie |
| 665× | associate-*l*_binary64 |
| 600× | associate-/l*_binary64 |
| 513× | associate-*r*_binary64 |
| 312× | fma-def_binary64 |
| 218× | associate-*l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 470 |
| 1 | 258 | 458 |
| 2 | 697 | 369 |
| 3 | 2029 | 323 |
| 4 | 7529 | 303 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (pow.f64 y 3/2)) |
(-.f64 (+.f64 1 (*.f64 3/2 y)) (pow.f64 y 3/2)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 3/2 y) (*.f64 3/8 (pow.f64 y 2)))) (pow.f64 y 3/2)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 3/2 y) (+.f64 (*.f64 -1/16 (pow.f64 y 3)) (*.f64 3/8 (pow.f64 y 2))))) (pow.f64 y 3/2)) |
(*.f64 3/2 (sqrt.f64 y)) |
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 y))) (*.f64 3/2 (sqrt.f64 y))) |
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 y))) (+.f64 (*.f64 3/2 (sqrt.f64 y)) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))) |
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 y))) (+.f64 (*.f64 3/2 (sqrt.f64 y)) (+.f64 (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (*.f64 3/128 (sqrt.f64 (/.f64 1 (pow.f64 y 5))))))) |
(*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)) |
(+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y))) |
(+.f64 (*.f64 -1/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 3))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)))) |
(+.f64 (*.f64 -1/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 3))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 2))) (+.f64 (*.f64 3/128 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 4))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y))))) |
y |
(+.f64 1/2 y) |
(-.f64 (+.f64 1/2 y) (*.f64 1/8 (/.f64 1 y))) |
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 y 2))) y)) (*.f64 1/8 (/.f64 1 y))) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) |
(+.f64 1/2 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(+.f64 1/2 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))) |
(+.f64 1/2 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 y 2))))))) |
| Outputs |
|---|
(-.f64 1 (pow.f64 y 3/2)) |
(-.f64 (+.f64 1 (*.f64 3/2 y)) (pow.f64 y 3/2)) |
(+.f64 1 (-.f64 (*.f64 y 3/2) (pow.f64 y 3/2))) |
(-.f64 (fma.f64 y 3/2 1) (pow.f64 y 3/2)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 3/2 y) (*.f64 3/8 (pow.f64 y 2)))) (pow.f64 y 3/2)) |
(+.f64 1 (-.f64 (fma.f64 3/2 y (*.f64 3/8 (*.f64 y y))) (pow.f64 y 3/2))) |
(+.f64 1 (-.f64 (fma.f64 y 3/2 (*.f64 3/8 (*.f64 y y))) (pow.f64 y 3/2))) |
(-.f64 (fma.f64 y 3/2 (fma.f64 3/8 (*.f64 y y) 1)) (pow.f64 y 3/2)) |
(fma.f64 y (+.f64 3/2 (*.f64 y 3/8)) (-.f64 1 (pow.f64 y 3/2))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 3/2 y) (+.f64 (*.f64 -1/16 (pow.f64 y 3)) (*.f64 3/8 (pow.f64 y 2))))) (pow.f64 y 3/2)) |
(+.f64 1 (-.f64 (fma.f64 3/2 y (fma.f64 -1/16 (pow.f64 y 3) (*.f64 3/8 (*.f64 y y)))) (pow.f64 y 3/2))) |
(+.f64 1 (-.f64 (fma.f64 y 3/2 (fma.f64 3/8 (*.f64 y y) (*.f64 -1/16 (pow.f64 y 3)))) (pow.f64 y 3/2))) |
(+.f64 1 (-.f64 (fma.f64 y 3/2 (*.f64 (*.f64 y y) (+.f64 3/8 (*.f64 y -1/16)))) (pow.f64 y 3/2))) |
(+.f64 1 (-.f64 (*.f64 y (+.f64 3/2 (*.f64 y (+.f64 3/8 (*.f64 y -1/16))))) (pow.f64 y 3/2))) |
(*.f64 3/2 (sqrt.f64 y)) |
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 y))) (*.f64 3/2 (sqrt.f64 y))) |
(fma.f64 3/8 (sqrt.f64 (/.f64 1 y)) (*.f64 3/2 (sqrt.f64 y))) |
(fma.f64 3/2 (sqrt.f64 y) (*.f64 3/8 (sqrt.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 y))) (+.f64 (*.f64 3/2 (sqrt.f64 y)) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))) |
(fma.f64 3/8 (sqrt.f64 (/.f64 1 y)) (fma.f64 3/2 (sqrt.f64 y) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))) |
(fma.f64 3/2 (sqrt.f64 y) (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 3/8 (sqrt.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 y))) (+.f64 (*.f64 3/2 (sqrt.f64 y)) (+.f64 (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (*.f64 3/128 (sqrt.f64 (/.f64 1 (pow.f64 y 5))))))) |
(fma.f64 3/8 (sqrt.f64 (/.f64 1 y)) (fma.f64 3/2 (sqrt.f64 y) (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 3/128 (sqrt.f64 (/.f64 1 (pow.f64 y 5))))))) |
(fma.f64 3/2 (sqrt.f64 y) (fma.f64 3/8 (sqrt.f64 (/.f64 1 y)) (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 3/128 (sqrt.f64 (/.f64 1 (pow.f64 y 5))))))) |
(fma.f64 3/8 (sqrt.f64 (/.f64 1 y)) (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (fma.f64 3/128 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (*.f64 3/2 (sqrt.f64 y))))) |
(*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)) |
(/.f64 (*.f64 3/2 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) y) |
(*.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) y)) |
(*.f64 (/.f64 3/2 y) (*.f64 (pow.f64 (/.f64 -1 y) -3/2) (pow.f64 -1 3/2))) |
(*.f64 (pow.f64 (exp.f64 3/2) (log.f64 y)) (/.f64 3/2 y)) |
(*.f64 (pow.f64 y 3/2) (/.f64 3/2 y)) |
(+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y))) |
(fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (*.f64 y y)) (/.f64 (*.f64 3/2 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) y)) |
(fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) y) (*.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 y) -3/2) (pow.f64 -1 3/2)) y) (+.f64 3/2 (/.f64 3/8 y))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 3/2) (log.f64 y)) y) (+.f64 3/2 (/.f64 3/8 y))) |
(*.f64 (/.f64 (pow.f64 y 3/2) y) (+.f64 3/2 (/.f64 3/8 y))) |
(+.f64 (*.f64 -1/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 3))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)))) |
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (pow.f64 y 3)) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (*.f64 y y)) (/.f64 (*.f64 3/2 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) y))) |
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (pow.f64 y 3)) (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) y) (*.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (*.f64 y y))))) |
(fma.f64 3/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 y) -3/2) (pow.f64 -1 3/2)) y) (*.f64 (/.f64 (pow.f64 (/.f64 -1 y) -3/2) (/.f64 (*.f64 y y) (pow.f64 -1 3/2))) (+.f64 3/8 (/.f64 -1/16 y)))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 3/2) (log.f64 y)) y) (+.f64 3/2 (+.f64 (/.f64 3/8 y) (/.f64 -1/16 (*.f64 y y))))) |
(*.f64 (/.f64 (pow.f64 y 3/2) y) (+.f64 3/2 (+.f64 (/.f64 3/8 y) (/.f64 -1/16 (*.f64 y y))))) |
(+.f64 (*.f64 -1/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 3))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 2))) (+.f64 (*.f64 3/128 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 4))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y))))) |
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (pow.f64 y 3)) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (*.f64 y y)) (fma.f64 3/128 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (pow.f64 y 4)) (/.f64 (*.f64 3/2 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) y)))) |
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (pow.f64 y 3)) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (*.f64 y y)) (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) y) (*.f64 3/128 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (pow.f64 y 4)))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (/.f64 -1 y) -3/2) (/.f64 (*.f64 y y) (pow.f64 -1 3/2))) (+.f64 3/8 (/.f64 3/128 (*.f64 y y)))) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 y) -3/2) (pow.f64 -1 3/2)) y) (+.f64 3/2 (/.f64 -1/16 (*.f64 y y))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 3/2) (log.f64 y)) y) (+.f64 3/2 (/.f64 3/8 y))) (*.f64 (/.f64 (pow.f64 (exp.f64 3/2) (log.f64 y)) (pow.f64 y 3)) (+.f64 -1/16 (/.f64 3/128 y)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 y 3/2) y) (+.f64 3/2 (/.f64 3/8 y))) (*.f64 (/.f64 (pow.f64 y 3/2) (pow.f64 y 3)) (+.f64 -1/16 (/.f64 3/128 y)))) |
y |
(+.f64 1/2 y) |
(+.f64 y 1/2) |
(-.f64 (+.f64 1/2 y) (*.f64 1/8 (/.f64 1 y))) |
(+.f64 1/2 (-.f64 y (/.f64 1/8 y))) |
(+.f64 1/2 (+.f64 y (/.f64 -1/8 y))) |
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 y 2))) y)) (*.f64 1/8 (/.f64 1 y))) |
(+.f64 1/2 (-.f64 (+.f64 y (/.f64 1/16 (*.f64 y y))) (/.f64 1/8 y))) |
(+.f64 (+.f64 1/2 (/.f64 1/16 (*.f64 y y))) (+.f64 y (/.f64 -1/8 y))) |
(+.f64 y (+.f64 (/.f64 -1/8 y) (+.f64 1/2 (/.f64 (/.f64 1/16 y) y)))) |
(+.f64 (-.f64 y (/.f64 1/8 y)) (+.f64 1/2 (/.f64 1/16 (*.f64 y y)))) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) |
y |
(+.f64 1/2 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(+.f64 y 1/2) |
(+.f64 1/2 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))) |
(+.f64 1/2 (-.f64 y (/.f64 1/8 y))) |
(+.f64 1/2 (+.f64 y (/.f64 -1/8 y))) |
(+.f64 1/2 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 y 2))))))) |
(+.f64 1/2 (-.f64 (+.f64 y (/.f64 1/16 (*.f64 y y))) (/.f64 1/8 y))) |
(+.f64 (+.f64 1/2 (/.f64 1/16 (*.f64 y y))) (+.f64 y (/.f64 -1/8 y))) |
(+.f64 y (+.f64 (/.f64 -1/8 y) (+.f64 1/2 (/.f64 (/.f64 1/16 y) y)))) |
(+.f64 (-.f64 y (/.f64 1/8 y)) (+.f64 1/2 (/.f64 1/16 (*.f64 y y)))) |
Compiled 38923 to 24717 computations (36.5% saved)
50 alts after pruning (45 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 882 | 26 | 908 |
| Fresh | 11 | 19 | 30 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 4 | 6 |
| Total | 895 | 50 | 945 |
| Status | Error | Program |
|---|---|---|
| 43.8b | (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 59.5b | (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 y))) | |
| ✓ | 4.7b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 39.7b | (+.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))) | |
| 35.0b | (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 2.0b | (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 3)) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 41.3b | (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 z)) | |
| 4.5b | (+.f64 (+.f64 (*.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| ✓ | 4.5b | (+.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))) |
| 42.1b | (+.f64 1 (-.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))))) | |
| 34.6b | (+.f64 1 (pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/3) 3)) | |
| ▶ | 1.8b | (+.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 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| ✓ | 1.6b | (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.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))) |
| 3.2b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) | |
| 53.4b | (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (cbrt.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)))) 3)))) | |
| 39.4b | (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) | |
| 34.6b | (+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 3)) | |
| 4.1b | (+.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)))) | |
| 41.9b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) | |
| 3.5b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| ▶ | 45.1b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
| 1.6b | (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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))) | |
| 19.6b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 5.5b | (+.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.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))) | |
| 37.0b | (+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| ▶ | 0.5b | (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 34.6b | (+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (sqrt.f64 x))) 3)) | |
| 53.8b | (+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (sqrt.f64 z))) 3)) | |
| 1.6b | (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 3.1b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 y (-.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 37.3b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (*.f64 3/2 (sqrt.f64 y)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| ✓ | 3.5b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 24.8b | (+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 3)) | |
| 4.3b | (+.f64 (+.f64 (/.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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))) | |
| 33.3b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (/.f64 (+.f64 1 (-.f64 z y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))) (sqrt.f64 z))) | |
| 17.1b | (+.f64 (+.f64 (-.f64 (+.f64 1 (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))) | |
| 41.6b | (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) | |
| 37.8b | (+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) | |
| ▶ | 55.3b | (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
| 23.0b | (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) | |
| 4.3b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) 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)))) | |
| ✓ | 25.8b | (+.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))) |
| ▶ | 41.5b | (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) 2) |
| 35.0b | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) | |
| 34.5b | (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) | |
| 4.1b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 y (-.f64 1 y)) (+.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))) | |
| 1.6b | (+.f64 (+.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) (/.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 4.5b | (+.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.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))) | |
| 5.2b | (+.f64 (+.f64 (*.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.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))) | |
| 24.5b | (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))) |
Compiled 3292 to 2526 computations (23.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) |
| 0.1b | (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) | |
| 0.2b | (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) | |
| 2.0b | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 295 to 160 computations (45.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) |
| 1.0ms | z | @ | inf | (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) |
| 1.0ms | z | @ | 0 | (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) |
| 1× | batch-egg-rewrite |
| 785× | pow1_binary64 |
| 733× | add-log-exp_binary64 |
| 733× | log1p-expm1-u_binary64 |
| 733× | expm1-log1p-u_binary64 |
| 715× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 151 | 11 |
| 2 | 2088 | 11 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 z) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (/.f64 z (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 z) 3/2) (pow.f64 z 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 z) z) (sqrt.f64 (*.f64 (+.f64 1 z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 z z)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 z) z) (sqrt.f64 (*.f64 (+.f64 1 z) z))) (+.f64 (pow.f64 (+.f64 1 z) 3/2) (pow.f64 z 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 1 (-.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 z) 3/2) (pow.f64 z 3/2)) (-.f64 (+.f64 (+.f64 1 z) z) (sqrt.f64 (*.f64 (+.f64 1 z) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 z) 3/2) (pow.f64 z 3/2)) (+.f64 z (-.f64 (+.f64 1 z) (sqrt.f64 (*.f64 (+.f64 1 z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (-.f64 z z)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 z) 3/2) (pow.f64 z 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 1 z) z) (sqrt.f64 (*.f64 (+.f64 1 z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (-.f64 z z))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 z (+.f64 1 z)) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)) (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 z)) (cbrt.f64 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z 1/4) (pow.f64 z 1/4) (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 (+.f64 1 z) 1/4) (sqrt.f64 z)))))) |
| 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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.2b | (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
Compiled 22 to 15 computations (31.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (-.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 | @ | 0 | (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
| 1× | batch-egg-rewrite |
| 795× | pow1_binary64 |
| 742× | add-log-exp_binary64 |
| 742× | log1p-expm1-u_binary64 |
| 742× | expm1-log1p-u_binary64 |
| 724× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 152 | 11 |
| 2 | 2094 | 11 |
| 1× | node limit |
| Inputs |
|---|
(-.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 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (+.f64 1 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> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 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 (+.f64 1 y) 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 1 (-.f64 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 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (-.f64 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 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (-.f64 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))))))) |
| 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 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
| 0.0b | (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) | |
| ✓ | 0.0b | (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z)) |
Compiled 99 to 63 computations (36.4% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z)) |
| 3.0ms | x | @ | inf | (-.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 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
| 1.0ms | x | @ | -inf | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
| 1.0ms | x | @ | inf | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
| 1× | batch-egg-rewrite |
| 413× | log1p-udef_binary64 |
| 251× | add-sqr-sqrt_binary64 |
| 247× | *-un-lft-identity_binary64 |
| 247× | pow1_binary64 |
| 233× | add-cbrt-cube_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 66 |
| 1 | 476 | 62 |
| 2 | 7527 | 62 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) |
| Outputs |
|---|
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|
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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))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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 |
| 902× | sub-neg_binary64 |
| 666× | fma-def_binary64 |
| 602× | unswap-sqr_binary64 |
| 508× | associate-*l*_binary64 |
| 480× | fma-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 230 |
| 1 | 148 | 218 |
| 2 | 405 | 215 |
| 3 | 1349 | 208 |
| 4 | 3640 | 207 |
| 5 | 7206 | 207 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (sqrt.f64 y)) |
(*.f64 1/2 z) |
(*.f64 1/2 z) |
(-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 z)) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(*.f64 1/2 z) |
(*.f64 1/2 z) |
(-.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 1/2 z) |
(*.f64 1/2 z) |
(-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 z)) |
(-.f64 (fma.f64 1/2 z 1) (sqrt.f64 z)) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 2 (-.f64 (+.f64 (*.f64 1/2 z) (sqrt.f64 (+.f64 1 y))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 2 (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 y))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (fma.f64 1/2 z 2) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (fma.f64 1/2 z 2)) (sqrt.f64 z)) (sqrt.f64 y)) |
(+.f64 (-.f64 2 (sqrt.f64 z)) (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (+.f64 (*.f64 1/2 z) (sqrt.f64 (+.f64 1 y))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 1 (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 y))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 1 (-.f64 (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 y))) (sqrt.f64 z)) (sqrt.f64 y))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 2 (+.f64 (*.f64 1/2 z) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 x))) (-.f64 2 (sqrt.f64 z))) (sqrt.f64 x)) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (fma.f64 1/2 z 2) (sqrt.f64 z))) (sqrt.f64 x)) |
(+.f64 2 (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (*.f64 1/2 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 (fma.f64 1/2 z 1) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(+.f64 1 (-.f64 (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 x))) (sqrt.f64 z)) (sqrt.f64 x))) |
(-.f64 (+.f64 (-.f64 (fma.f64 1/2 z 1) (sqrt.f64 z)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) |
(+.f64 (fma.f64 1/2 z 1) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 z))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(+.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 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x))))) |
(*.f64 1/2 z) |
(*.f64 1/2 z) |
(-.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 (+.f64 1 (fma.f64 1/2 y (*.f64 -1/8 (*.f64 y y)))) (sqrt.f64 x)) |
(+.f64 (fma.f64 y 1/2 1) (-.f64 (*.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)) |
(-.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 (+.f64 1 (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 (fma.f64 -1/8 (*.f64 y y) (*.f64 1/16 (pow.f64 y 3)))) (-.f64 1 (sqrt.f64 x))) |
(+.f64 1 (-.f64 (fma.f64 y 1/2 (*.f64 (*.f64 y y) (+.f64 -1/8 (*.f64 y 1/16)))) (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 | (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) |
| ✓ | 0.1b | (+.f64 (sqrt.f64 y) (sqrt.f64 z)) |
| ✓ | 0.4b | (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) 2) |
| ✓ | 7.9b | (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))) |
Compiled 151 to 89 computations (41.1% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | z | @ | -inf | (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) 2) |
| 9.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) 2) |
| 7.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) 2) |
| 5.0ms | z | @ | inf | (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) 2) |
| 4.0ms | y | @ | -inf | (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) 2) |
| 1× | batch-egg-rewrite |
| 419× | log1p-udef_binary64 |
| 257× | add-sqr-sqrt_binary64 |
| 253× | pow1_binary64 |
| 252× | *-un-lft-identity_binary64 |
| 239× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 121 |
| 1 | 516 | 121 |
| 2 | 7661 | 121 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))) |
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) 2) |
(+.f64 (sqrt.f64 y) (sqrt.f64 z)) |
(sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) |
| Outputs |
|---|
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(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) 1)))))) |
| 1× | egg-herbie |
| 539× | distribute-rgt-in_binary64 |
| 497× | sub-neg_binary64 |
| 479× | fma-def_binary64 |
| 466× | associate-+l-_binary64 |
| 404× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 477 |
| 1 | 92 | 477 |
| 2 | 223 | 477 |
| 3 | 651 | 477 |
| 4 | 2049 | 477 |
| 5 | 3673 | 477 |
| 6 | 5327 | 477 |
| 7 | 6730 | 477 |
| 8 | 7430 | 477 |
| 9 | 7847 | 477 |
| 10 | 7973 | 477 |
| 1× | node limit |
| Inputs |
|---|
(-.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 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 z)) (sqrt.f64 (+.f64 1 y)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (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 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 z)) (sqrt.f64 (+.f64 1 y)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(sqrt.f64 z) |
(sqrt.f64 y) |
(sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(sqrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(sqrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(sqrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
| Outputs |
|---|
(-.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 x) (sqrt.f64 y))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.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 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(-.f64 (+.f64 1 (+.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 x)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 x)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) -1))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 y)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) (sqrt.f64 y))) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) (sqrt.f64 y)) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (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 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (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 1 (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.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 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(-.f64 (+.f64 1 (+.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 x)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 x)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) -1))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 y)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) (sqrt.f64 y))) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) (sqrt.f64 y)) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y))) |
(sqrt.f64 z) |
(sqrt.f64 y) |
(sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(sqrt.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))) |
(sqrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(sqrt.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))) |
(sqrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))) |
(sqrt.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 x))))) |
(sqrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) -1)))) |
(sqrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) |
(sqrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(sqrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 x)))) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))) |
(sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(sqrt.f64 (+.f64 1 (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) (sqrt.f64 y)))) |
(sqrt.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z)))) |
(sqrt.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(sqrt.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y))))) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 y))))) |
(sqrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(sqrt.f64 (-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) (sqrt.f64 y))) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z)))) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.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))) | |
| 0.2b | (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) | |
| 2.0b | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) | |
| 5.2b | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
Compiled 214 to 122 computations (43% saved)
Compiled 31785 to 19394 computations (39% saved)
60 alts after pruning (56 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 709 | 20 | 729 |
| Fresh | 4 | 36 | 40 |
| Picked | 1 | 0 | 1 |
| Done | 5 | 4 | 9 |
| Total | 719 | 60 | 779 |
| Status | Error | Program |
|---|---|---|
| 23.2b | (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2) | |
| 54.3b | (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) | |
| 43.8b | (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 59.5b | (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 y))) | |
| ✓ | 4.7b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 37.0b | (+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 35.0b | (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 2.0b | (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 3)) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 39.9b | 1 | |
| 41.3b | (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 z)) | |
| 4.5b | (+.f64 (+.f64 (*.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 0.1b | (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) | |
| ✓ | 4.5b | (+.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))) |
| 42.1b | (+.f64 1 (-.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))))) | |
| 34.6b | (+.f64 1 (pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/3) 3)) | |
| 3.2b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) | |
| 45.1b | (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) | |
| 53.4b | (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (cbrt.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)))) 3)))) | |
| 39.4b | (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) | |
| 34.6b | (+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 3)) | |
| 1.5b | (+.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 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) | |
| 45.3b | (-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) | |
| 3.3b | (+.f64 (+.f64 (/.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 0.5b | (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 4.1b | (+.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)))) | |
| 41.9b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) | |
| 0.5b | (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 45.5b | (+.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) 3) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) | |
| 24.5b | (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))) | |
| 1.6b | (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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))) | |
| 45.1b | (+.f64 (-.f64 2 (sqrt.f64 z)) (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))) | |
| 1.7b | (+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) 2) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 5.5b | (+.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.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))) | |
| 37.0b | (+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| ✓ | 0.5b | (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| 34.6b | (+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (sqrt.f64 x))) 3)) | |
| 45.1b | (-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) | |
| 45.1b | (+.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) | |
| 53.8b | (+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (sqrt.f64 z))) 3)) | |
| 1.6b | (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 24.8b | (+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 3)) | |
| 4.3b | (+.f64 (+.f64 (/.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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))) | |
| 33.3b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (/.f64 (+.f64 1 (-.f64 z y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))) (sqrt.f64 z))) | |
| 17.1b | (+.f64 (+.f64 (-.f64 (+.f64 1 (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))) | |
| 41.6b | (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) | |
| 38.3b | (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 y))))) 2) | |
| 57.2b | (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (*.f64 1/2 z)) | |
| 37.8b | (+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) | |
| 23.0b | (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) | |
| 4.3b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) 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)))) | |
| ✓ | 25.8b | (+.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))) |
| 54.7b | (fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 y))) | |
| 35.0b | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) | |
| 34.5b | (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) | |
| 4.1b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 y (-.f64 1 y)) (+.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))) | |
| 1.6b | (+.f64 (+.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) (/.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 15.7b | (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 4.5b | (+.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.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))) | |
| 3.5b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) | |
| 37.3b | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (*.f64 3/2 (sqrt.f64 y)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
Compiled 2036 to 1558 computations (23.5% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 y))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (*.f64 1/2 z)) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 y))) |
(+.f64 (-.f64 2 (sqrt.f64 z)) (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 y))) (sqrt.f64 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 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (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 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 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
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(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 y)) 3)) (+.f64 (+.f64 y 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 y 1)) (neg.f64 (sqrt.f64 y))))))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.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 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 3)) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) 2) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
18 calls:
| 156.0ms | x |
| 111.0ms | z |
| 102.0ms | y |
| 84.0ms | t |
| 58.0ms | (+.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))) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | z |
| 0.1b | 1 | t |
| 0.1b | 1 | (+.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))) |
| 0.1b | 1 | (+.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))) |
| 0.1b | 1 | (+.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))) |
| 0.1b | 1 | (+.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))) |
| 0.1b | 1 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 0.1b | 1 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 0.1b | 1 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 0.1b | 1 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 0.1b | 1 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 0.1b | 1 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 0.1b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 0.1b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 0.1b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
| 0.1b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 3119 to 1982 computations (36.5% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 y))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (*.f64 1/2 z)) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 y))) |
(+.f64 (-.f64 2 (sqrt.f64 z)) (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 y))) (sqrt.f64 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 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (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 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 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))) |
(-.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 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 z)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 y))))) 2) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 3)) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 z)) |
(+.f64 1 (pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/3) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (+.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 (+.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 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 1 (-.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))))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (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 1 (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)) 1) (-.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 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (/.f64 (+.f64 1 (-.f64 z y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))) (sqrt.f64 z))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) 2) |
(+.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 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) 3) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (sqrt.f64 x))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (sqrt.f64 z))) 3)) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (cbrt.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)))) 3)))) |
(+.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 (sqrt.f64 (+.f64 z 1)) (-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 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 (+.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 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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 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 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 y (-.f64 1 y)) (+.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 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 3/2 (sqrt.f64 y)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) 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 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (+.f64 y (-.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (*.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1) (-.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 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) 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 (pow.f64 (+.f64 1 z) 3/2) (pow.f64 z 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 1 z) z) (sqrt.f64 (*.f64 (+.f64 1 z) z)))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) 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)) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) 2)) (-.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)) (expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) 2)) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 z 1/4)) (-.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 z 1/4)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.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 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.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)) (fma.f64 (cbrt.f64 (+.f64 y 1)) (cbrt.f64 (sqrt.f64 (+.f64 y 1))) (neg.f64 (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 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (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 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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 (neg.f64 (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) (/.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 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 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 y)) 3)) (+.f64 (+.f64 y 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 y 1)) (neg.f64 (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 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.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 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 y)) 3)) (+.f64 (+.f64 y 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 y 1)) (neg.f64 (sqrt.f64 y))))))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.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 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
17 calls:
| 133.0ms | t |
| 95.0ms | y |
| 90.0ms | x |
| 63.0ms | z |
| 32.0ms | (+.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))) |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 1 | x |
| 0.5b | 1 | y |
| 0.5b | 1 | z |
| 0.5b | 1 | t |
| 0.5b | 1 | (+.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))) |
| 0.5b | 1 | (+.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))) |
| 0.5b | 1 | (+.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))) |
| 0.5b | 1 | (+.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))) |
| 0.5b | 1 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 0.5b | 1 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 0.5b | 1 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 0.5b | 1 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 0.5b | 1 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 0.5b | 1 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 0.5b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 0.5b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 0.5b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 2914 to 1857 computations (36.3% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 y))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (*.f64 1/2 z)) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 y))) |
(+.f64 (-.f64 2 (sqrt.f64 z)) (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 y))) (sqrt.f64 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 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (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 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 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))) |
(-.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 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 z)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 y))))) 2) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 3)) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 z)) |
(+.f64 1 (pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/3) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (+.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 (+.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 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 1 (-.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))))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (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 1 (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)) 1) (-.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 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (/.f64 (+.f64 1 (-.f64 z y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))) (sqrt.f64 z))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) 2) |
(+.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 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) 3) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (sqrt.f64 x))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (sqrt.f64 z))) 3)) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (cbrt.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)))) 3)))) |
(+.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 (sqrt.f64 (+.f64 z 1)) (-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 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 (+.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 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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 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 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 y (-.f64 1 y)) (+.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 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 3/2 (sqrt.f64 y)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) 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 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (+.f64 y (-.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (*.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1) (-.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 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) 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 (pow.f64 (+.f64 1 z) 3/2) (pow.f64 z 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 1 z) z) (sqrt.f64 (*.f64 (+.f64 1 z) z)))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) 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)) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) 2)) (-.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)) (expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) 2)) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 z 1/4)) (-.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 z 1/4)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.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 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.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)) (fma.f64 (cbrt.f64 (+.f64 y 1)) (cbrt.f64 (sqrt.f64 (+.f64 y 1))) (neg.f64 (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 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (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 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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 (neg.f64 (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) (/.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
17 calls:
| 122.0ms | x |
| 67.0ms | y |
| 53.0ms | z |
| 45.0ms | (+.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))) |
| 44.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 1 | x |
| 0.5b | 1 | y |
| 0.5b | 1 | z |
| 0.5b | 1 | t |
| 0.5b | 1 | (+.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))) |
| 0.5b | 1 | (+.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))) |
| 0.5b | 1 | (+.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))) |
| 0.5b | 1 | (+.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))) |
| 0.5b | 1 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 0.5b | 1 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 0.5b | 1 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 0.5b | 1 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 0.5b | 1 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 0.5b | 1 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 0.5b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 0.5b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 0.5b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 2526 to 1629 computations (35.5% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 y))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (*.f64 1/2 z)) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 y))) |
(+.f64 (-.f64 2 (sqrt.f64 z)) (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 y))) (sqrt.f64 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 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (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 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 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))) |
(-.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 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 z)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 y))))) 2) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 3)) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 z)) |
(+.f64 1 (pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/3) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (+.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 (+.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 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 1 (-.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))))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (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 1 (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)) 1) (-.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 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (/.f64 (+.f64 1 (-.f64 z y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))) (sqrt.f64 z))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) 2) |
(+.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 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) 3) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (sqrt.f64 x))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (sqrt.f64 z))) 3)) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (cbrt.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)))) 3)))) |
(+.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 (sqrt.f64 (+.f64 z 1)) (-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 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 (+.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 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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 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 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 y (-.f64 1 y)) (+.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 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 3/2 (sqrt.f64 y)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) 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 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (+.f64 y (-.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (*.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1) (-.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 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) 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 (pow.f64 (+.f64 1 z) 3/2) (pow.f64 z 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 1 z) z) (sqrt.f64 (*.f64 (+.f64 1 z) z)))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) 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)) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) 2)) (-.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)) (expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) 2)) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 z 1/4)) (-.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 z 1/4)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.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 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.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)) (fma.f64 (cbrt.f64 (+.f64 y 1)) (cbrt.f64 (sqrt.f64 (+.f64 y 1))) (neg.f64 (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 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (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 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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 (neg.f64 (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) (/.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 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 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
18 calls:
| 197.0ms | y |
| 173.0ms | z |
| 90.0ms | (+.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))) |
| 84.0ms | (+.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))) |
| 72.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 1.5b | 1 | x |
| 0.4b | 2 | y |
| 0.5b | 2 | z |
| 1.5b | 1 | t |
| 0.4b | 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))) |
| 0.4b | 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))) |
| 0.4b | 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))) |
| 0.4b | 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))) |
| 0.4b | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 0.4b | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 1.5b | 1 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 1.5b | 1 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 0.4b | 2 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 0.4b | 2 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 1.5b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 1.5b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 1.5b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
| 1.5b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 2482 to 1604 computations (35.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0011168744599103775 | 0.1990261544991614 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 y))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (*.f64 1/2 z)) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 y))) |
(+.f64 (-.f64 2 (sqrt.f64 z)) (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 y))) (sqrt.f64 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 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (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 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 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))) |
(-.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 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 z)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 y))))) 2) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 3)) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 z)) |
(+.f64 1 (pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/3) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (+.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 (+.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 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 1 (-.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))))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (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 1 (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)) 1) (-.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 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (/.f64 (+.f64 1 (-.f64 z y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))) (sqrt.f64 z))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) 2) |
(+.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 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) 3) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (sqrt.f64 x))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (sqrt.f64 z))) 3)) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (cbrt.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)))) 3)))) |
(+.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 (sqrt.f64 (+.f64 z 1)) (-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 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 (+.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 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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 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 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 y (-.f64 1 y)) (+.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 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 3/2 (sqrt.f64 y)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) 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 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (+.f64 y (-.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (*.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1) (-.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 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) 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 (pow.f64 (+.f64 1 z) 3/2) (pow.f64 z 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 1 z) z) (sqrt.f64 (*.f64 (+.f64 1 z) z)))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) 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)) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) 2)) (-.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)) (expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) 2)) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 z 1/4)) (-.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 z 1/4)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.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 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.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)) (fma.f64 (cbrt.f64 (+.f64 y 1)) (cbrt.f64 (sqrt.f64 (+.f64 y 1))) (neg.f64 (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 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (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 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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))) |
18 calls:
| 71.0ms | z |
| 70.0ms | y |
| 48.0ms | x |
| 48.0ms | t |
| 44.0ms | (+.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 |
|---|---|---|
| 1.5b | 1 | x |
| 0.4b | 2 | y |
| 0.5b | 2 | z |
| 1.5b | 1 | t |
| 0.4b | 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))) |
| 0.4b | 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))) |
| 0.4b | 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))) |
| 0.4b | 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))) |
| 0.4b | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 0.4b | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 1.5b | 1 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 1.5b | 1 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 0.4b | 2 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 0.4b | 2 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 1.5b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 1.5b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 1.5b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
| 1.5b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 2382 to 1540 computations (35.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 88.0ms | 0.9702627827596261 | 5.8212156509838655 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 y))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (*.f64 1/2 z)) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 y))) |
(+.f64 (-.f64 2 (sqrt.f64 z)) (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 y))) (sqrt.f64 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 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (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 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 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))) |
(-.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 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 z)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 y))))) 2) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 3)) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 z)) |
(+.f64 1 (pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/3) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (+.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 (+.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 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 1 (-.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))))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (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 1 (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)) 1) (-.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 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (/.f64 (+.f64 1 (-.f64 z y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))) (sqrt.f64 z))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) 2) |
(+.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 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) 3) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (sqrt.f64 x))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (sqrt.f64 z))) 3)) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (cbrt.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)))) 3)))) |
(+.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 (sqrt.f64 (+.f64 z 1)) (-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 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 (+.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 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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 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 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 y (-.f64 1 y)) (+.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 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 3/2 (sqrt.f64 y)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) 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 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (+.f64 y (-.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (*.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1) (-.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 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) 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 (pow.f64 (+.f64 1 z) 3/2) (pow.f64 z 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 1 z) z) (sqrt.f64 (*.f64 (+.f64 1 z) z)))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 y 1) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) 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)) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) 2)) (-.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)) (expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) 2)) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 z 1/4)) (-.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 z 1/4)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.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 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.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)) (fma.f64 (cbrt.f64 (+.f64 y 1)) (cbrt.f64 (sqrt.f64 (+.f64 y 1))) (neg.f64 (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 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (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 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
17 calls:
| 74.0ms | y |
| 73.0ms | x |
| 66.0ms | t |
| 64.0ms | z |
| 41.0ms | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| Error | Segments | Branch |
|---|---|---|
| 1.5b | 1 | x |
| 1.5b | 1 | y |
| 1.5b | 1 | z |
| 1.5b | 1 | t |
| 1.5b | 1 | (+.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))) |
| 1.5b | 1 | (+.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))) |
| 1.5b | 1 | (+.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))) |
| 1.5b | 1 | (+.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))) |
| 1.5b | 1 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 1.5b | 1 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 1.5b | 1 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 1.5b | 1 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 1.5b | 1 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 1.5b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 1.5b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 1.5b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
| 1.5b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 2322 to 1500 computations (35.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 y))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (*.f64 1/2 z)) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 y))) |
(+.f64 (-.f64 2 (sqrt.f64 z)) (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 y))) (sqrt.f64 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 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (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 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 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))) |
(-.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 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 z)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 y))))) 2) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 3)) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 z)) |
(+.f64 1 (pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/3) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (+.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 (+.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 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 1 (-.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))))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (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 1 (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)) 1) (-.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 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (/.f64 (+.f64 1 (-.f64 z y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))) (sqrt.f64 z))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) 2) |
(+.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 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) 3) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (sqrt.f64 x))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (sqrt.f64 z))) 3)) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (cbrt.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)))) 3)))) |
(+.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 (sqrt.f64 (+.f64 z 1)) (-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 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 (+.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 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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 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 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 y (-.f64 1 y)) (+.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 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 3/2 (sqrt.f64 y)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) 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 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 (+.f64 y (-.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| Outputs |
|---|
(+.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 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
16 calls:
| 189.0ms | x |
| 171.0ms | z |
| 54.0ms | y |
| 47.0ms | t |
| 41.0ms | (+.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))) |
| Error | Segments | Branch |
|---|---|---|
| 1.8b | 1 | x |
| 1.8b | 1 | y |
| 1.8b | 1 | z |
| 1.8b | 1 | t |
| 1.8b | 1 | (+.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))) |
| 1.8b | 1 | (+.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))) |
| 1.8b | 1 | (+.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))) |
| 1.8b | 1 | (+.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))) |
| 1.8b | 1 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 1.8b | 1 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 1.8b | 1 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 1.8b | 1 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 1.8b | 1 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 1.8b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 1.8b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 1.8b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 1781 to 1154 computations (35.2% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 y))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (*.f64 1/2 z)) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 y))) |
(+.f64 (-.f64 2 (sqrt.f64 z)) (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 y))) (sqrt.f64 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 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (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 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 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))) |
(-.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 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 z)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 y))))) 2) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 3)) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 z)) |
(+.f64 1 (pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/3) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (+.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 (+.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 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 1 (-.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))))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (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 1 (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)) 1) (-.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 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (/.f64 (+.f64 1 (-.f64 z y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))) (sqrt.f64 z))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) 2) |
(+.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 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) 3) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (sqrt.f64 x))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (sqrt.f64 z))) 3)) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (cbrt.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)))) 3)))) |
(+.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 (sqrt.f64 (+.f64 z 1)) (-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 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 (+.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 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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 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 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 y (-.f64 1 y)) (+.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 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 3/2 (sqrt.f64 y)) (+.f64 (+.f64 (+.f64 y 1) y) (sqrt.f64 (*.f64 (+.f64 y 1) y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| Outputs |
|---|
(+.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 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
16 calls:
| 213.0ms | y |
| 163.0ms | (+.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))) |
| 89.0ms | x |
| 75.0ms | z |
| 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 |
|---|---|---|
| 1.0b | 2 | x |
| 1.2b | 2 | y |
| 1.6b | 2 | z |
| 2.7b | 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))) |
| 1.0b | 2 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 1.0b | 2 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 1.4b | 2 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 1.4b | 2 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 2.7b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 2.7b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 1652 to 1078 computations (34.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999994937 | 0.9999999999999999 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 y))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (*.f64 1/2 z)) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 y))) |
(+.f64 (-.f64 2 (sqrt.f64 z)) (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 y))) (sqrt.f64 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 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (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 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 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))) |
(-.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 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 z)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 y))))) 2) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 3)) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 z)) |
(+.f64 1 (pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/3) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (+.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 (+.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 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 1 (-.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))))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (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 1 (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)) 1) (-.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 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (/.f64 (+.f64 1 (-.f64 z y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))) (sqrt.f64 z))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) 2) |
(+.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 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) 3) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (sqrt.f64 x))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (sqrt.f64 z))) 3)) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (cbrt.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)))) 3)))) |
(+.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 (sqrt.f64 (+.f64 z 1)) (-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 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 (+.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 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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 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 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 y (-.f64 1 y)) (+.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 (+.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:
| 63.0ms | y |
| 42.0ms | (+.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))) |
| 33.0ms | x |
| 31.0ms | z |
| 28.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 2.7b | 1 | x |
| 2.7b | 1 | y |
| 2.7b | 1 | z |
| 2.7b | 1 | t |
| 2.7b | 1 | (+.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))) |
| 2.7b | 1 | (+.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))) |
| 2.7b | 1 | (+.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))) |
| 2.7b | 1 | (+.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))) |
| 2.7b | 1 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 2.7b | 1 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 2.7b | 1 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 2.7b | 1 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 2.7b | 1 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 2.7b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 2.7b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 1561 to 1019 computations (34.7% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 y))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (*.f64 1/2 z)) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 y))) |
(+.f64 (-.f64 2 (sqrt.f64 z)) (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 y))) (sqrt.f64 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 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (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 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 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))) |
(-.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 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 z)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 y))))) 2) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 3)) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 z)) |
(+.f64 1 (pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/3) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (+.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 (+.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 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 1 (-.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))))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (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 1 (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)) 1) (-.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 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (/.f64 (+.f64 1 (-.f64 z y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))) (sqrt.f64 z))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) 2) |
(+.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 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) 3) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (sqrt.f64 x))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (sqrt.f64 z))) 3)) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (cbrt.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)))) 3)))) |
(+.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 (sqrt.f64 (+.f64 z 1)) (-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 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 (+.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 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
16 calls:
| 200.0ms | x |
| 84.0ms | y |
| 29.0ms | t |
| 26.0ms | z |
| 22.0ms | (+.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))) |
| Error | Segments | Branch |
|---|---|---|
| 2.0b | 2 | x |
| 1.9b | 2 | y |
| 4.3b | 1 | z |
| 4.3b | 1 | t |
| 1.9b | 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))) |
| 1.9b | 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))) |
| 1.9b | 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))) |
| 1.9b | 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))) |
| 1.9b | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 1.9b | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) |
| 2.0b | 2 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 2.0b | 2 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 1.9b | 2 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 1.9b | 2 | (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) |
| 4.3b | 1 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 4.3b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 1424 to 937 computations (34.2% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 90.0ms | 109664145554519.2 | 10958356585069446.0 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 y))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (*.f64 1/2 z)) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 y))) |
(+.f64 (-.f64 2 (sqrt.f64 z)) (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 y))) (sqrt.f64 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 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (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 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 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))) |
(-.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 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 z)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 y))))) 2) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 3)) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 z)) |
(+.f64 1 (pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/3) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (+.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 (+.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 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 1 (-.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))))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (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 1 (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)) 1) (-.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 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (/.f64 (+.f64 1 (-.f64 z y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))) (sqrt.f64 z))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (+.f64 (-.f64 (+.f64 1 (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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
8 calls:
| 263.0ms | x |
| 199.0ms | z |
| 89.0ms | y |
| 52.0ms | t |
| 8.0ms | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| Error | Segments | Branch |
|---|---|---|
| 10.3b | 7 | x |
| 2.7b | 2 | y |
| 5.0b | 2 | z |
| 9.2b | 2 | t |
| 14.4b | 2 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 14.4b | 2 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 5.0b | 2 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 17.1b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 864 to 559 computations (35.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 92.0ms | 109664145554519.2 | 10958356585069446.0 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 y))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (*.f64 1/2 z)) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 y))) |
(+.f64 (-.f64 2 (sqrt.f64 z)) (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 y))) (sqrt.f64 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 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (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 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 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))) |
(-.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 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 z)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 y))))) 2) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 3)) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 z)) |
(+.f64 1 (pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/3) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (+.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 (+.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 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 1 (-.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))))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (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 1 (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)) 1) (-.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 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (/.f64 (+.f64 1 (-.f64 z y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y))) (sqrt.f64 z))) |
| Outputs |
|---|
(+.f64 (+.f64 (-.f64 (+.f64 1 (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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
8 calls:
| 166.0ms | x |
| 45.0ms | t |
| 42.0ms | z |
| 40.0ms | y |
| 15.0ms | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| Error | Segments | Branch |
|---|---|---|
| 10.3b | 7 | x |
| 2.7b | 2 | y |
| 5.0b | 2 | z |
| 9.2b | 2 | t |
| 14.4b | 2 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 14.4b | 2 | (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) |
| 5.0b | 2 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 17.1b | 1 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 833 to 539 computations (35.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 153.0ms | 5.7273362715610585e+20 | 2.830265303450423e+21 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 y))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (*.f64 1/2 z)) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 y))) |
(+.f64 (-.f64 2 (sqrt.f64 z)) (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 y))) (sqrt.f64 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 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (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 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 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))) |
(-.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 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 z)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 y))))) 2) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 3)) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 z)) |
(+.f64 1 (pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/3) 3)) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (+.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 (+.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 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 1 (-.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))))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
8 calls:
| 339.0ms | t |
| 311.0ms | x |
| 193.0ms | y |
| 167.0ms | z |
| 22.0ms | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| Error | Segments | Branch |
|---|---|---|
| 14.5b | 7 | x |
| 7.3b | 3 | y |
| 5.2b | 3 | z |
| 10.2b | 3 | t |
| 5.2b | 3 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 5.2b | 3 | (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) |
| 18.4b | 2 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
| 18.4b | 2 | (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) |
Compiled 729 to 475 computations (34.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 138.0ms | 274302974449287040.0 | 399103994859720770.0 |
| 191.0ms | 2.4090741330030487e-29 | 1.1101270060125092e-27 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 y))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (*.f64 1/2 z)) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 y))) |
(+.f64 (-.f64 2 (sqrt.f64 z)) (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 y))) (sqrt.f64 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 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (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 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 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))) |
(-.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 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 z)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 y))))) 2) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 3)) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 z)) |
(+.f64 1 (pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/3) 3)) |
| Outputs |
|---|
(+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 z)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
4 calls:
| 197.0ms | x |
| 138.0ms | y |
| 103.0ms | z |
| 56.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 16.7b | 6 | x |
| 9.8b | 2 | y |
| 5.2b | 3 | z |
| 10.5b | 3 | t |
Compiled 543 to 354 computations (34.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 143.0ms | 274302974449287040.0 | 399103994859720770.0 |
| 129.0ms | 2.4090741330030487e-29 | 1.1101270060125092e-27 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 y))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (*.f64 1/2 z)) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 y))) |
(+.f64 (-.f64 2 (sqrt.f64 z)) (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 y))) (sqrt.f64 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 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (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 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 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))) |
(-.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 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 z)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) |
(+.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2) |
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 y))))) 2) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 3)) |
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 3)) |
| Outputs |
|---|
(+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
4 calls:
| 172.0ms | x |
| 77.0ms | z |
| 60.0ms | t |
| 45.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 16.7b | 6 | x |
| 9.8b | 2 | y |
| 5.2b | 3 | z |
| 10.5b | 3 | t |
Compiled 497 to 324 computations (34.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 183.0ms | 274302974449287040.0 | 399103994859720770.0 |
| 191.0ms | 2.4090741330030487e-29 | 1.1101270060125092e-27 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 y))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (*.f64 1/2 z)) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 y))) |
(+.f64 (-.f64 2 (sqrt.f64 z)) (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 y))) (sqrt.f64 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 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (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 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 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))) |
(-.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 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 z)))) |
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
4 calls:
| 123.0ms | x |
| 85.0ms | z |
| 65.0ms | y |
| 38.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 16.7b | 6 | x |
| 9.8b | 2 | y |
| 9.3b | 2 | z |
| 14.8b | 2 | t |
Compiled 330 to 214 computations (35.2% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 189.0ms | 274302974449287040.0 | 399103994859720770.0 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 y))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (*.f64 1/2 z)) |
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 y)) (sqrt.f64 z))) |
(fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 y))) |
(+.f64 (-.f64 2 (sqrt.f64 z)) (-.f64 (fma.f64 1/2 z (sqrt.f64 (+.f64 1 y))) (sqrt.f64 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 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (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 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
4 calls:
| 154.0ms | x |
| 66.0ms | y |
| 49.0ms | t |
| 28.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 23.0b | 1 | x |
| 19.1b | 4 | y |
| 10.9b | 2 | z |
| 18.8b | 2 | t |
Compiled 245 to 162 computations (33.9% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 304.0ms | 0.9407274237819818 | 34.568841678107425 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 y))) |
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
| Outputs |
|---|
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
4 calls:
| 43.0ms | y |
| 24.0ms | t |
| 22.0ms | z |
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 23.0b | 1 | x |
| 19.1b | 4 | y |
| 11.0b | 2 | z |
| 19.0b | 2 | t |
Compiled 91 to 66 computations (27.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 163.0ms | 0.9407274237819818 | 34.568841678107425 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) |
(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 y))) |
| Outputs |
|---|
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
4 calls:
| 11.0ms | z |
| 10.0ms | y |
| 8.0ms | x |
| 8.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 23.0b | 1 | x |
| 23.0b | 1 | y |
| 23.0b | 1 | z |
| 23.0b | 1 | t |
Compiled 75 to 54 computations (28% saved)
Total -15.4b remaining (-38.6%)
Threshold costs -15.4b (-38.6%)
| Inputs |
|---|
1 |
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) |
| Outputs |
|---|
1 |
4 calls:
| 7.0ms | x |
| 7.0ms | t |
| 5.0ms | z |
| 5.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 39.9b | 1 | x |
| 39.9b | 1 | y |
| 39.9b | 1 | z |
| 39.9b | 1 | t |
Compiled 32 to 26 computations (18.8% saved)
| 1× | egg-herbie |
| 99× | +-commutative_binary64 |
| 38× | sub-neg_binary64 |
| 24× | *-commutative_binary64 |
| 18× | neg-sub0_binary64 |
| 18× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 157 | 1644 |
| 1 | 279 | 1640 |
| 2 | 341 | 1640 |
| 3 | 386 | 1640 |
| 4 | 409 | 1640 |
| 5 | 413 | 1640 |
| 6 | 414 | 1640 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) 1152921504606847/576460752303423488) (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 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 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(if (<=.f64 y 8739350213775425/9007199254740992) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (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 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1125899906842061/1125899906842624) (+.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 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 y 7018505315489229/64) (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) (+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))) |
(if (<=.f64 y 7018505315489229/64) (+.f64 (+.f64 (-.f64 (+.f64 1 (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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))) |
(if (<=.f64 y 572733627156105854976) (+.f64 (+.f64 (-.f64 (+.f64 1 (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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))) |
(if (<=.f64 z 4297931872357765/178405961588244985132285746181186892047843328) (+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) (if (<=.f64 z 274302974449287040) (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) |
(if (<=.f64 z 4297931872357765/178405961588244985132285746181186892047843328) (+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) (if (<=.f64 z 274302974449287040) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 z)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) |
(if (<=.f64 z 4297931872357765/178405961588244985132285746181186892047843328) (+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) (if (<=.f64 z 274302974449287040) (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) |
(if (<=.f64 z 274302974449287040) (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
(if (<=.f64 z 1059164918800435/1125899906842624) (-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
(if (<=.f64 z 1059164918800435/1125899906842624) (-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
1 |
| Outputs |
|---|
(+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 y y)))) (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (*.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (+.f64 1 (-.f64 y y)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (*.f64 (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) |
(+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (/.f64 (neg.f64 (+.f64 (sqrt.f64 x) (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 1 x))))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 1 x)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x))))))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) 1152921504606847/576460752303423488) (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 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 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1152921504606847/576460752303423488) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (/.f64 (neg.f64 (+.f64 (sqrt.f64 x) (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 1 x))))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (+.f64 (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) (+.f64 (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1152921504606847/576460752303423488) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 1 x)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x))))))) (+.f64 (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) (+.f64 (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) |
(if (<=.f64 y 8739350213775425/9007199254740992) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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 y 8739350213775425/9007199254740992) (+.f64 (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) (+.f64 (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (*.f64 (/.f64 (+.f64 (sqrt.f64 x) (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) |
(+.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 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) |
(+.f64 (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) (+.f64 (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 1 x))))))) |
(+.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 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (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 1 x))))))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1125899906842061/1125899906842624) (+.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 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1125899906842061/1125899906842624) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (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 1 x))))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (/.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))) |
(+.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 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (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 1 x))))))) |
(if (<=.f64 y 7018505315489229/64) (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) (+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))) |
(if (<=.f64 y 7018505315489229/64) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) |
(if (<=.f64 y 7018505315489229/64) (+.f64 (+.f64 (-.f64 (+.f64 1 (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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))) |
(if (<=.f64 y 7018505315489229/64) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) |
(if (<=.f64 y 572733627156105854976) (+.f64 (+.f64 (-.f64 (+.f64 1 (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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))) |
(if (<=.f64 y 572733627156105854976) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) |
(if (<=.f64 z 4297931872357765/178405961588244985132285746181186892047843328) (+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) (if (<=.f64 z 274302974449287040) (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) |
(if (<=.f64 z 4297931872357765/178405961588244985132285746181186892047843328) (+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (if (<=.f64 z 274302974449287040) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) |
(if (<=.f64 z 4297931872357765/178405961588244985132285746181186892047843328) (+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) (if (<=.f64 z 274302974449287040) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 z)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) |
(if (<=.f64 z 4297931872357765/178405961588244985132285746181186892047843328) (+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (if (<=.f64 z 274302974449287040) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 z)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) |
(if (<=.f64 z 4297931872357765/178405961588244985132285746181186892047843328) (+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) (if (<=.f64 z 274302974449287040) (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) |
(if (<=.f64 z 4297931872357765/178405961588244985132285746181186892047843328) (+.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (if (<=.f64 z 274302974449287040) (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) |
(if (<=.f64 z 274302974449287040) (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
(if (<=.f64 z 274302974449287040) (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
(if (<=.f64 z 1059164918800435/1125899906842624) (-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
(if (<=.f64 z 1059164918800435/1125899906842624) (-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 z 1/2))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
(if (<=.f64 z 1059164918800435/1125899906842624) (-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
(if (<=.f64 z 1059164918800435/1125899906842624) (-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 z 1/2))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) |
1 |
Compiled 1115 to 812 computations (27.2% saved)
Compiled 1177 to 747 computations (36.5% saved)
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